An atomic nucleus of mass m traveling with speed v collides elastically with a target particle of mass 2m initially at rest and is scattered an 90 degrees. a. what angle does the target particle move after collision? b. what are the final speeds of the two particles? c. what fraction of the initial kinetic energy is transferred to the target particle? I really do not understand how trig is used in these types of problems. I have difficulty understanding how to break the components up. Other tutorials just use sine or cosine without explaining why we use them.. Can you please explain with as much detail as possibly your method and reasoning to solve this problem?

Answers

Answer 1

Kt/K1 = (1/4)mv²/(1/2)mv² = 1/2Therefore, half of the initial kinetic energy is transferred to the target particle.

Since the collision is elastic, the total momentum of the system is conserved. Therefore, the initial momentum of the system is zero because the target particle is at rest and the final momentum of the system is also zero. Since the nucleus is scattered at an angle of 90 degrees, it implies that the angle of deflection is 90 degrees.

Since the mass of the target particle is 2m and it is at rest, the momentum of the target particle after collision is p' and the momentum of the nucleus is p. Conservation of momentum means that:

p + p' = 0

It implies that:

p = -p'

Therefore:

p = mv and p' = -mv

Therefore, the target particle moves with a momentum of -mv. The angle that it moves after the collision can be calculated using the momentum vectors, as shown below. Let θ be the angle of deflection of the target particle. We have:

cos θ = -p'/mv = -(-mv)/mv = 1

Therefore, θ = 0 degrees. The target particle moves in the same direction as the nucleus, but with a speed of v/2.b) Since the collision is elastic, the total kinetic energy of the system is conserved. The initial kinetic energy of the system is:

K1 = (1/2)mv²

The final kinetic energy of the system is:

K2 = (1/2)m(v/2)² + (1/2)m(v/2)² = (1/2)(1/2)mv²

Therefore, the final kinetic energy of the system is half the initial kinetic energy of the system.

The final speed of the nucleus is also v/2.c) The fraction of the initial kinetic energy transferred to the target particle is:

Kt/K1 = 1 - Kn/K1

where Kt is the kinetic energy of the target particle after collision, Kn is the kinetic energy of the nucleus after collision, and K1 is the initial kinetic energy of the system. The final kinetic energy of the target particle is:

Kt = (1/2)(1/2)mv² = (1/4)mv²

The final kinetic energy of the nucleus is: Kn = (1/2)(1/2)mv² = (1/4)mv²

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Related Questions

how much of a 11.0 m hno3 solution should you use to make 850.0 ml of a 0.220 m hno3 solution? nothing ml

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A 11.0 m hno3 solution should you use to make 850.0 ml of a 0.220 m hno3 solution is, Volume of HNO3 solution = 2.75 mL

To calculate the amount of HNO3 solution required to make 850.0 mL of 0.220 M HNO3 solution, we need to use the formula:M1V1 = M2V2Where,M1 = concentration of stock solutionV1 = volume of stock solutionM2 = concentration of final solutionV2 = volume of final solution Let's substitute the values:11.0 M x V1 = 0.220 M x 850.0 mLV1 = (0.220 M x 850.0 mL) / 11.0 MV1 = 17.0454 mL We need to use 17.0454 mL of 11.0 M HNO3 solution to make 850.0 mL of 0.220 M HNO3 solution.

To convert mL to L, we need to by 1000:17.0454 mL ÷ 1000 = 0.017 mLSo, the amount of 11.0 M HNO3 solution required to make 850.0 mL of 0.220 M HNO3 solution is 0.017 mL (rounded to three significant figures).

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how do you model the following situation with a uml use case diagram: the lab director does a lab test together with his assistant. the assistant always has to write a protocol during the lab test.

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A UML use case diagram can be used to model the situation where a lab director and his assistant perform a lab test, with the assistant being responsible for writing a protocol.

In a UML use case diagram, the primary actors and their interactions with the system are depicted. In this situation, the lab director and the assistant are the primary actors. The lab test itself can be represented as a use case, indicating the overall goal or task to be accomplished.

To represent the assistant's responsibility of writing a protocol, a separate use case can be created specifically for this task. This use case can be named "Write Protocol" or something similar. The lab director and the assistant would both be connected to this use case, indicating their involvement in the task.

Additionally, associations or dependencies can be used to represent the collaboration between the lab director and the assistant during the lab test. This can indicate that the lab director and the assistant work together to carry out the test, with the assistant taking on the additional responsibility of writing the protocol.

By using a UML use case diagram, the relationship between the lab director, the assistant, the lab test, and the writing of the protocol can be visually represented, providing a clear overview of the interactions and responsibilities involved in the given situation.

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s22. draw the band diagrams for si, cacl2, and zn. label the valence and conduction bands and state what atomic or molecular orbitals make up each band.

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The valence band is made up of hybridized s and p orbitals, while the conduction band is made up of hybridized d and s orbitals.

A band diagram is a diagram that shows the valence and conduction bands' positions in an atom. The atomic or molecular orbitals that make up each band are also indicated in the diagram. The diagrams for Si, CaCl2, and Zn are shown below: SI Label the valence and conduction bands and state what atomic or molecular orbitals make up each band. In Si, the valence and conduction bands are labeled. The bands have p orbitals and s orbitals, respectively. The valence band is primarily made up of hybridized s and p orbitals. CaCl2Label the valence and conduction bands and state what atomic or molecular orbitals make up each band.

In CaCl2, there are two conduction bands and one valence band. The valence band is made up of Cl 3p and Ca 4s orbitals, whereas the conduction bands are made up of Ca 3d, Ca 4p, and Cl 3p orbitals. Zn Label the valence and conduction bands and state what atomic or molecular orbitals make up each band. In Zn, the valence and conduction bands are labeled.

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Select the structure of the intermediate carbocation in the reaction. E is an abbreviation for electrophile. C6H6 +E+ + Intermediate + CH_X + H+ The structure of the intermediate is: H H E H B Ε EH

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The structure of the intermediate carbocation in the given reaction is E. The intermediate structure is represented as follows: C6H6 + E+ → Intermediate + CH_X + H+Here, E represents the electrophile.

The structure of the intermediate is E, which is an electrophile. In the reaction, C6H6 + E+ + Intermediate + CH_X + H+, benzene reacts with an electrophile, E+. This leads to the formation of an intermediate carbocation and CH_X as a byproduct. Finally, H+ acts as a proton donor to produce the desired product.

The reaction can be summarized as: C6H6 + E+ → Intermediate + CH_X + H+The structure of the intermediate is E, which represents the electrophile. Therefore, the correct answer is E.

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Which of the following best describes the given reaction: 4 Al(s) + 3 O_2(s) rightarrow 2 Al_2O_3(s) Acid-Base reaction Decomposition reaction Precipitation reaction Combination reaction Displacement reaction

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The following statement best describes the given reaction: 4 Al(s) + 3 O_2(s) rightarrow 2 Al_2O_3(s) as a combination reaction.

A combination reaction is a chemical reaction in which two or more substances combine to form a new compound. In this type of reaction, the reactants combine to create a more complex product. The most frequent form of a combination reaction is the one between a metal and a nonmetal to create an ionic compound.

The given reaction, 4 Al(s) + 3 O_2(s) rightarrow 2 Al_2O_3(s) is a combination reaction because the reactants (Al and O2) combine to form a more complex product (Al2O3).Hence, the correct answer is the combination reaction.

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an aqueous solution at 25has a ph of 6.07.calculate the poh. round your answer to 2 decimal places.

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The pOH of the aqueous solution at 25°C with a pH of 6.07 is 7.93

The pH and pOH are related through the ionization constant of water, Kw, such that [tex]pH + pOH = 14.00.[/tex]

We can then use this equation to calculate pOH given a known pH. Therefore, the pOH of an aqueous solution at 25°C with a pH of 6.07 is calculated as follows: [tex]pH + pOH = 14.00[/tex]

Given pH = 6.07, then:

[tex]6.07 + pOH = 14.00[/tex]

[tex]pOH = 14.00 - 6.07[/tex]

[tex]pOH = 7.93[/tex]

Therefore, the pOH of the aqueous solution at 25°C with a pH of 6.07 is 7.93, rounded to two decimal places.

A solution in which water serves as the solvent is called an aqueous solution. By appending (aq) to the relevant chemical formula, it is typically demonstrated in chemical equations. Na+(aq) + Cl(aq) is an illustration of a solution of sodium chloride (NaCl) or table salt in water.

Water is a common solvent in chemistry because it is an excellent solvent and occurs naturally. Unless otherwise specified, the term solution refers to an aqueous solution because water is frequently used as the solvent in experiments.

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Explain the properties of metals by completing the following sentences. The ___________ of transition metals increases as the number of delocalized electrons ________. Because the ______ in metals are strongly attracted to the delocalized electrons in the metal, they are not easily _____ from the metal, causing the metal to be very _______. Alkali metals are ______ than transition metals because they have only ____________ per atom. The ________ of metals vary greatly. The melting points are not as extreme as the ________. It does not take an extreme amount of energy for _________ to be able to move past each other. However, during ______ atoms must be separated from a group of __________, which requires a lot of _______. Light absorbed and released by the __________ in a metal accounts for the ________ of the metal.

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Alkali metals are softer than transition metals. This is because they have only one valence electron per atom. The metallic bond in alkali metals is weaker than in transition metals.

The properties of metals are explained by completing the following sentences. The ductility and malleability of transition metals increases as the number of delocalized electrons increases. Because the cations in metals are strongly attracted to the delocalized electrons in the metal, they are not easily removed from the metal, causing the metal to be very strong. Alkali metals are softer than transition metals because they have only one valence electron per atom. The properties of metals vary greatly. The melting points are not as extreme as the non-metals. It does not take an extreme amount of energy for ions to be able to move past each other. However, during melting, atoms must be separated from a group of cations, which requires a lot of energy. Light absorbed and released by the electrons in a metal accounts for the luster of the metal.

The ductility and malleability of metals are the result of metallic bonds. In a metal lattice, the atoms are arranged in a regular pattern. In this lattice, atoms lose their valence electrons to create positively charged cations. These cations are surrounded by a sea of delocalized electrons. The valence electrons are no longer tied to a particular atom and can move freely throughout the metal lattice.

The electrons create a metallic bond that holds the cations together. The delocalized electrons in the metal lattice are responsible for the ductility and malleability of metals. They are free to move throughout the metal lattice, allowing atoms to slide past one another without breaking the metallic bond. Transition metals have a higher number of valence electrons than alkali metals.

The delocalized electrons are responsible for the properties of transition metals. They create a strong metallic bond, which gives rise to their high melting points, hardness, and strength.

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sn2 (aq)→sn4 (aq) (acidic or basic solution) express your answer as a chemical equation. identify all of the phases in your answer.

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The chemical equation for the reaction of Sn2(aq) to Sn4(aq) in an acidic or basic solution is:Sn2(aq) + 2e- → Sn4(aq)

What is the chemical equation for the reaction of Sn2(aq) to Sn4(aq) in an acidic or basic solution?

In this reaction, Sn2(aq) is being oxidized to Sn4(aq) by losing two electrons (2e-). The oxidation state of Sn increases from +2 to +4.

It's important to note that the phases of the substances involved in the reaction are not specified in the question.

However, based on the naming conventions, "(aq)" indicates that the substances are in aqueous solution, meaning they are dissolved in water.

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how many grams of hydrochloric acid could be produced from 49.8 g of hydrogen sulfide?

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From 49.8 grams of hydrogen sulfide ([tex]H_{2}S[/tex]), approximately 106.59 grams of hydrochloric acid (HCl) can be produced through a chemical reaction.

To determine the amount of hydrochloric acid that can be produced, we use the balanced chemical equation: [tex]H_{2} S + 2HCl ------ > 2H_{2}O + 2Cl[/tex]. The equation shows that 1 mole of [tex]H_{2}S[/tex] reacts with 2 moles of HCl. First, we convert the mass of [tex]H_{2} S[/tex] into moles. The molar mass of [tex]H_{2}S[/tex] is approximately 34.08 g/mol. Dividing 49.8 grams by the molar mass, we find 1.461 moles of [tex]H_{2} S[/tex].

Using the mole ratio from the balanced equation, we determine that the moles of HCl produced will be twice the moles of [tex]H_{2}S[/tex]. Thus, the moles of HCl are approximately 2.922 moles. Finally, to calculate the mass of HCl, we multiply the moles of HCl by its molar mass, which is approximately 36.46 g/mol. The result is approximately 106.59 grams of HCl.

In conclusion, from 49.8 grams of hydrogen sulfide, approximately 106.59 grams of hydrochloric acid can be produced by reacting the hydrogen sulfide with an adequate amount of hydrochloric acid according to the balanced chemical equation.

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The number of grams of hydrochloric acid that can be produced from 49.8 g of hydrogen sulfide depends on the balanced chemical equation for the reaction between hydrogen sulfide and hydrochloric acid.

To determine the number of grams of hydrochloric acid that can be produced from 49.8 g of hydrogen sulfide, we need to consider the balanced chemical equation for the reaction. The balanced equation for the reaction between hydrogen sulfide [tex](H_2S)[/tex] and hydrochloric acid (HCl) is:

[tex]H_2S + 2HCl[/tex]→ [tex]2H_2O + S[/tex]

From the balanced equation, we can see that 1 mole of hydrogen sulfide reacts with 2 moles of hydrochloric acid to produce 1 mole of sulfur and 2 moles of water.

To calculate the number of moles of hydrogen sulfide, we divide the given mass (49.8 g) by its molar mass. The molar mass of hydrogen sulfide [tex](H_2S)[/tex] is approximately 34.08 g/mol.

Moles of H2S = 49.8 g / 34.08 g/mol = 1.46 mol

Since the reaction stoichiometry tells us that 1 mole of [tex]H_2S[/tex] reacts with 2 moles of HCl, we multiply the number of moles of [tex]H_2S[/tex] by the stoichiometric ratio:

Moles of HCl = 1.46 mol [tex]H_2S[/tex] × (2 mol HCl / 1 mol [tex]H_2S[/tex]) = 2.92 mol HCl

Finally, we can calculate the mass of hydrochloric acid produced by multiplying the number of moles of HCl by its molar mass. The molar mass of hydrochloric acid (HCl) is approximately 36.46 g/mol.

Mass of HCl = 2.92 mol × 36.46 g/mol = 106.46 g

Therefore, approximately 106.46 grams of hydrochloric acid could be produced from 49.8 g of hydrogen sulfide.

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the following is a list of events which occur before or during a muscle contraction. which of the following correctly lists the events in sequence. 1. threshold potentials reached in the terminal cisternae 2. threshold potentials reached in the tranverse tubule 3. threshold potentials reached in the sarcoplasmic reticulum 4. calcium ions bind to synaptotagmin 5. calcium ions bind to troponin 6. voltage-gated ca channels open in the sarcoplasmic reticulum

Answers

The following is the sequence of events that occur before or during a muscle contraction:

1. Threshold potentials are reached in the transverse tubule.

2. Voltage-gated calcium channels are opened in the sarcoplasmic reticulum.

3. Calcium ions bind to troponin.

4. Myosin binds to actin.

5. Sarcomeres shorten.

6. Calcium ions are transported back into the sarcoplasmic reticulum.

7. Myosin releases actin.

8. Sarcomeres lengthen.

In skeletal muscles, a muscle contraction is initiated by an action potential. The action potential propagates through the transverse tubule system and reaches the terminal cisternae of the sarcoplasmic reticulum. Threshold potentials are then reached in the transverse tubule. When the threshold potential is reached, voltage-gated calcium channels are opened in the sarcoplasmic reticulum. The calcium ions released from the sarcoplasmic reticulum bind to troponin, which is present on the actin filaments.

This binding allows myosin to bind to actin, which initiates the sliding of the actin and myosin filaments past each other, shortening the sarcomere. The calcium ions are transported back into the sarcoplasmic reticulum when the muscle contraction ends. This causes myosin to release actin, and the sarcomeres lengthen.

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how does the chemistry of caramelization explain why dark caramel has less sugar in it?

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The chemistry of caramelization explains why dark caramel has less sugar content. Caramelization is a chemical process that occurs when sugar is heated.

Caramelization involves the breakdown of sugar molecules into smaller compounds, resulting in the characteristic flavor, color, and aroma of caramel. As sugar is heated, it undergoes a series of complex reactions, including dehydration, polymerization, and the Maillard reaction.

These reactions lead to the formation of new compounds, such as caramelan and caramelene, which contribute to the deep color and distinct taste of caramel.

Dark caramel, compared to lighter variations, undergoes caramelization for a longer period, resulting in more extensive chemical changes. During this prolonged process, a significant amount of sugar is converted into caramel compounds.

Consequently, dark caramel contains less sugar than its lighter counterparts, as a substantial portion of the original sugar molecules has transformed into different compounds. This is why dark caramel has a more intense flavor and a lower sugar content.

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an atom's configuration based on its number of electrons ends at 3p2. another atom has eight more electrons. starting at 3p, what would be the remaining configuration?

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The remaining electron configuration of the atom, starting from 3p, would be [tex]3p^6 4s^2[/tex].

The electron configuration of an atom describes how electrons are distributed among its various energy levels and orbitals. The given atom has an electron configuration ending at [tex]3p^2[/tex], indicating that it has two electrons in the 3p orbital. To determine the remaining electron configuration when eight more electrons are added, we start from 3p and distribute the additional electrons according to the Aufbau principle and Hund's rule.

The Aufbau principle states that electrons fill orbitals in order of increasing energy. Since the 3p orbital is filled with two electrons, we move on to the next available orbital, which is 4s. Hund's rule states that electrons occupy orbitals of the same energy level singly before pairing up. Therefore, the eight additional electrons would first fill the 4s orbital with two electrons, resulting in  [tex]3p^6 4s^2[/tex]. This configuration satisfies the electron requirement of the given atom with eight extra electrons.

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how many distinct dibromo products are formed in the bromination reaction of (e)-stilbene? answer with digits only.

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Bromination is a chemical process that entails the addition of bromine to a substrate. Bromination may occur selectively or may involve the addition of bromine to many locations on the substrate.

Bromination reactions are usually carried out in the presence of a catalyst or initiator.A catalyst or initiator is used in this process to generate free radicals, which can be used to add bromine atoms to the substrate. Aromatic compounds are more difficult to brominate than alkenes due to their greater stabilization of the radical intermediate formed during the reaction.

The following reaction scheme depicts the bromination of an alkene to generate a dibromoalkane. Two moles of bromine are needed to generate a dibromoalkane from an alkene. Mechanism for the bromination of alkenesThe bromination of alkenes follows an electrophilic addition mechanism.

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A reaction in an electrolytic cell is as follows:
2NaCl(aq) + 2H₂O (1)→ Cl₂ (g) + H₂ (g) + 2NaOH(aq).
Which reaction occurs at the cathode?
O Cl₂ (g) + 2e → 2Cl(aq)
O 2H₂O (1) + 2e → H₂ (g) + 2OH(aq)
O H₂(g) + 2OH(aq) → 2H₂O (1) + 2e¯
O 2C1 (aq) → Cl2 (g) + 2e7

Answers

A reaction occurs at the cathode is Option b. 2H₂O (l) + 2e⁻ → H₂ (g) + 2OH⁻ (aq)

At the cathode, reduction occurs, which involves the gain of electrons. In this case, water molecules (H₂O) are reduced to produce hydrogen gas (H₂) and hydroxide ions (OH⁻).

The half-reaction at the cathode can be understood as follows:

2H₂O (l) + 2e⁻ → H₂ (g) + 2OH⁻ (aq)

Here, two electrons (2e⁻) are gained by two water molecules, resulting in the formation of hydrogen gas (H₂) and hydroxide ions (OH⁻) in the aqueous solution. Therefore, the correct option for the reaction occurring at the cathode in the given electrolytic cell is 2H₂O (l) + 2e⁻ → H₂ (g) + 2OH⁻ (aq). Therefore, Option b is correct.

The question was incomplete. find the full content below:

A reaction in an electrolytic cell is as follows:

2NaCl(aq) + 2H₂O (1)→ Cl₂ (g) + H₂ (g) + 2NaOH(aq).

Which reaction occurs at the cathode?

a. Cl₂ (g) + 2e → 2Cl(aq)

b. 2H₂O (1) + 2e → H₂ (g) + 2OH(aq)

c. H₂(g) + 2OH(aq) → 2H₂O (1) + 2e¯

d. 2C1 (aq) → Cl2 (g) + 2e7

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The value of ΔfH⊖ for NH3 is -91.8kJ mol−1. Calculate enthalpy change for the following reaction 2NH3(g)→N2(g)+3H2(g).

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Calculated by reaction using the formula,ΔH = ∑(ΔfH(products)) - ∑(ΔfH(reactants))Here,ΔfH⊖ for NH3 = -91.8 kJ/mol.

The balanced chemical equation for the given reaction is 2 NH3(g) → N2(g) + 3 H2(g)So, the enthalpy change for the given reaction is,ΔH = ∑(ΔfH(products)) - ∑(ΔfH(reactants))ΔH = [ΔfH⊖ (N2) + 3ΔfH⊖ (H2)] - [2ΔfH⊖ (NH3)]Substituting the respective values,ΔH = [(0 + 3 × 0) kJ/mol] - [2 × (-91.8 kJ/mol)]ΔH = 183.6 kJ/mol.

Enthalpy change can be calculated by using the formula,ΔH = ∑(ΔfH(products)) - ∑(ΔfH(reactants))Where,ΔH = enthalpy change for the reactionΔfH⊖ = standard enthalpy of formationThe balanced chemical equation for the given reaction is 2 NH3(g) → N2(g) + 3 H2(g)So, the enthalpy change for the given reaction is,ΔH = ∑(ΔfH(products)) - ∑(ΔfH(reactants))ΔH = [ΔfH⊖ (N2) + 3ΔfH⊖ (H2)] - [2ΔfH⊖ (NH3)]Substituting the respective values,ΔH = [(0 + 3 × 0) kJ/mol] - [2 × (-91.8 kJ/mol)]ΔH = 183.6 kJ/mol.

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what ionic compound makes up corals and the shells and skeletons of plankton and shellfish? how does ocean acidity affect the ability of this compound to form? (hint:

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The ionic compound that makes up corals, shells, and skeletons of plankton and shellfish is calcium carbonate (CaCO3).

Ocean acidity, specifically the increase in carbon dioxide (CO2) levels leading to ocean acidification, affects the ability of calcium carbonate to form in a few ways. When CO2 dissolves in seawater, it reacts with water to form carbonic acid (H2CO3), which then dissociates into hydrogen ions (H+) and bicarbonate ions (HCO3-). The increase in hydrogen ions decreases the pH of the seawater, making it more acidic.

The increased acidity of seawater reduces the concentration of carbonate ions (CO32-). Carbonate ions are essential for the formation of calcium carbonate. When the concentration of carbonate ions decreases, it becomes more difficult for corals, plankton, and shellfish to build their shells and skeletons.

Calcium carbonate formation depends on the equilibrium between carbonate ions and dissolved calcium ions (Ca2+). In acidic conditions, the equilibrium is shifted towards the bicarbonate ions, as more carbonate ions combine with hydrogen ions to form bicarbonate ions. This reduces the availability of carbonate ions for calcium carbonate precipitation.

ocean acidification hinders the ability of corals, plankton, and shellfish to form their shells and skeletons properly. It can lead to reduced growth rates, weakened structures, and even dissolution of existing shells in severe cases.

the increased acidity caused by ocean acidification reduces the concentration of carbonate ions, making it more challenging for calcium carbonate to form. This has detrimental effects on the ability of corals, plankton, and shellfish to build and maintain their shells and skeletons.

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Balance the following redox reaction by inserting the appropriate coefficients. HNO3 + H2S --> NO + S + H2O

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The correct balanced redox reaction is:

H2S + HNO3 + 8H+ → NO + S + 4H2O

Assigning oxidation numbers to each element:

HNO3: Hydrogen (H) is +1, Nitrogen (N) is +5, Oxygen (O) is -2

H2S: Hydrogen (H) is +1, Sulfur (S) is -2

NO: Nitrogen (N) is +2, Oxygen (O) is -2

S: Sulfur (S) is 0

H2O: Hydrogen (H) is +1, Oxygen (O) is -2

Determine the elements undergoing oxidation and reduction:

HNO3: Nitrogen (N) is reduced from +5 to +2

H2S: Sulfur (S) is oxidized from -2 to 0

Balance the non-oxygen and non-hydrogen elements:

The elements other than oxygen and hydrogen are nitrogen (N) and sulfur (S). The equation is already balanced in terms of the non-oxygen and non-hydrogen elements.

Balance the oxygen atoms:

On the left side, there are three oxygen (O) atoms from HNO3, and on the right side, there are two oxygen atoms from NO and one oxygen atom from H2O. To balance the oxygen atoms, add one water molecule (H2O) to the left side:

Balance the hydrogen atoms:

On the left side, there are two hydrogen (H) atoms from HNO3 and two hydrogen atoms from H2O. On the right side, there are two hydrogen atoms from H2S. To balance the hydrogen atoms, add four hydrogen ions (H+) to the right side:

HNO3 + H2S + H2O → NO + S + H2O + 4H+

Balance the charges:

On the left side, the charge is neutral. On the right side, the charge is also neutral.

HNO3 + H2S + H2O → NO + S + H2O + 4H+

The balanced equation is:

H2S + HNO3 +  H2O → NO + S + H2O + 4H+

Therefore, the correct balanced redox reaction is:

H2S + HNO3 + 8H+ → NO + S + 4H2O

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how many grams of agcl would be needed to make a 4.0 m solution with a volume of 0.75 l? your answer should have two significant figures.

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To prepare a 4.0 M solution with a volume of 0.75 L, approximately 430 grams of AgCl would be needed to prepare. For this molarity (M) and volume (V) of the solution are considered.

To calculate the grams of AgCl needed for the given solution, we need to consider the molarity (M) and volume (V) of the solution. Molarity is defined as moles of solute per litre of solution. First, we convert the volume from litres to millilitres (0.75 L = 750 mL) to maintain consistency with the molarity units. Then, we use the equation:

moles of AgCl = Molarity (M) * Volume (L)

Now, we can substitute the given values into the equation:

moles of AgCl = 4.0 mol/L * 0.750 L = 3.0 mol

Since we want to find the mass in grams, we need to multiply the moles of AgCl by its molar mass. The molar mass of AgCl is approximately 143.32 g/mol. Applying the conversion:

grams of AgCl = moles of AgCl * molar mass of AgCl

grams of AgCl = 3.0 mol * 143.32 g/mol = 430 g

Therefore, approximately 430 grams of AgCl would be needed to make a 4.0 M solution with a volume of 0.75 L.

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5. how much of an 800-gram sample of potassium-40 will remain after 3.9 × 10^9 years of radioactive decay?

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Potassium-40 has a half-life of 1.28 x 10^9 years. The amount remaining of a substance undergoing radioactive decay can be determined using the formalin = N0 (1/2)^(t/t1/2)where:N0 is the initial amount is the elapsed timet1/2 is the half-life of the substances is the amount remaining after time pugging in the values:Given:N0 = 800 g t = 3.9 x 10^9 yearst1/2 = 1.28 x 10^9 years

Formula = N0 (1/2)^(t/t1/2)Substitute the values = 800 g (1/2)^(3.9 x 10^9 / 1.28 x 10^9) = 800 g (1/2)^3 = 800 g (0.125) = 100 g (to the nearest 10 g)Thus, 100 g of the 800-gram sample of potassium-40 will remain after 3.9 × 10^9 years of radioactive decay. Where: N(t) is the amount of the radioactive substance at time t N0 is the initial amount of the radioactive substance λ is the decay constant (related to the half-life) t is the time elapsed For potassium-40 (K-40), the half-life is approximately 1.25 billion years, or 1.25 × 10^9 years.

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Bromonium ions can be captured by nucleophiles other than water. Predict the products of each of the following reactions: Get help answering Molecular Drawing questior 2 Br2 OH Show both enantiomers if a racemic mixture is formed. 2 Edit Get help answering Molecular Drawing questior Br EtNH2 2 Show both enantiomers if a racemic mixture is formed.

Answers

2 Br2 OH Show both enantiomers if a racemic mixture is formed.

2 Br2 is reacted with OH to give rise to an intermediate product which is bromohydrin. The reaction takes place with the help of peroxides (ROOR) which is a radical initiator. The mechanism of the reaction is as follows:

The first step of the mechanism is the homolytic cleavage of O-O bond of peroxides which forms two free radicals. These free radicals then react with Br2 to form a free radical bromine intermediate. This bromine radical intermediate then reacts with the double bond of the alkene in a concerted manner to form a three-membered bromonium ion intermediate. This bromonium ion intermediate then attacks the nucleophile which is OH in this case from the backside to give rise to the product. Since the reaction proceeds with a concerted mechanism, the configuration of the reactant and product is retained throughout the reaction. Thus the product will be a racemic mixture of two enantiomers, as shown below:

2 Br EtNH2

2 Br is reacted with EtNH2 to give rise to an intermediate product which is a Bromoamine. The reaction takes place with the help of peroxides (ROOR) which is a radical initiator. The mechanism of the reaction is as follows:

The first step of the mechanism is the homolytic cleavage of O-O bond of peroxides which forms two free radicals. These free radicals then react with Br2 to form a free radical bromine intermediate. This bromine radical intermediate then reacts with the double bond of the alkene in a concerted manner to form a three-membered bromonium ion intermediate. This bromonium ion intermediate then attacks the nucleophile which is EtNH2 in this case from the backside to give rise to the product. Since the reaction proceeds with a concerted mechanism, the configuration of the reactant and product is retained throughout the reaction. Thus the product will be a racemic mixture of two enantiomers, as shown below: Therefore, the molecular drawings of the products of each reaction, along with their stereochemistry, has been provided.

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from the mechanism of the silver ion test for alkyl halides, depicted in figure 2, determine if that reaction mechanism an sn1 of sn2 process? explain your reasoning.

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From the mechanism of the silver ion test for alkyl halides depicted in figure 2, the reaction mechanism is an SN1 process.

SN1 stands for Substitution Nucleophilic Unimolecular. It is a two-step nucleophilic substitution reaction mechanism. In this process, the substrate dissociates first, producing a carbocation intermediate, followed by the nucleophilic attack on the intermediate to create the substitution product. This mechanism is typical for primary or secondary substrates that produce a stable carbocation.

The silver ion test is a test for identifying halogen-containing compounds, such as alkyl halides. The silver ion test, also known as the Finkelstein reaction, entails the treatment of halogen-containing organic compounds with an aqueous solution of silver nitrate.The reactivity of halides with silver ions is different in SN1 and SN2 reaction mechanisms. Because silver ions are better nucleophiles than halide ions, they can act as nucleophiles and attack the carbocation intermediate that is created when the alkyl halide reacts with silver nitrate.

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household ammonia used for cleaning contains about 8 g of nh3 in each 100mL of solution. What is the molarity of the ammonia solution?

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The molarity of the ammonia solution that contains about 8 g of NH3 in each 100mL of solution is approximately 0.13 M.


The molarity of a solution can be defined as the number of moles of solute per liter of solution. The given mass of NH3 can be converted to moles by dividing the given mass by the molar mass of NH3. To find the molarity of the ammonia solution, we use the formula:  

Molarity = (Number of moles of solute) / (Volume of solution in liters)

The molar mass of NH3 is 17 g/mol, so the number of moles of NH3 present in 8 g of NH3 is:

Number of moles of NH3 = Mass of NH3 / Molar mass of NH3

= 8 g / 17 g/mol

= 0.47 mol

We have 100 mL of solution, which is equal to 0.1 L. Hence, the molarity of the ammonia solution can be calculated as follows:

Molarity = (0.47 mol) / (0.1 L)

= 4.7 mol/L

= 0.13 M

Therefore, the molarity of the ammonia solution that contains about 8 g of NH3 in each 100mL of solution is approximately 0.13 M.

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the imidazole side chain of histidine can function as either a general acid catalyst or a general base catalyst because _____.

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If the pH of the environment is greater than the pKa of the imidazole side chain, the imidazole will be deprotonated and will function as a general base catalyst by accepting a proton.

The imidazole side chain of histidine can function as either a general acid catalyst or a general base catalyst because it can donate or accept a proton, depending on the pH of the environment. In its neutral form, the imidazole side chain has a pKa of approximately 6, which means that it can act as either an acid or a base at physiological pH.A general acid catalyst is a molecule that donates a proton to a substrate, while a general base catalyst is a molecule that accepts a proton from a substrate. The imidazole side chain of histidine can perform both functions because it has a pKa that is close to physiological pH. If the pH of the environment is less than the pKa of the imidazole side chain, the imidazole will be protonated and will function as a general acid catalyst by donating a proton. If the pH of the environment is greater than the pKa of the imidazole side chain, the imidazole will be deprotonated and will function as a general base catalyst by accepting a proton.

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what is the enthalpy of reaction for the decomposition of calcium carbonate? a. caco3(s)
b. cao(s) c. co2(g)
d. kj

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Answer: The enthalpy of reaction for the decomposition of calcium carbonate is - 114.7 kJ/mol.

The enthalpy of reaction for the decomposition of calcium carbonate is provided as follows: The balanced chemical equation for the decomposition of calcium carbonate is given as:CaCO3 (s) → CaO (s) + CO2 (g). The enthalpy change of this reaction is ΔH.

The amount of heat absorbed or evolved during the course of this reaction is called the enthalpy of reaction. In this case, calcium carbonate decomposes into calcium oxide and carbon dioxide gas, and heat is absorbed. The enthalpy of reaction for the decomposition of calcium carbonate can be calculated as follows: ΔH = ΣH(products) − ΣH(reactants).

The enthalpy change of formation of CaO (s) is - 635.1 kJ/mol, and the enthalpy change of formation of CO2 (g) is - 393.5 kJ/mol. The enthalpy change of formation of CaCO3 (s) is -1206.9 kJ/mol. Using the above values, we can calculate the enthalpy change of the reaction: ΔH = [ΔHf(CaO) + ΔHf(CO2)] − ΔHf(CaCO3)ΔH = [(- 635.1) + (- 393.5)] − (-1206.9)ΔH = - 114.7 kJ/mol.

Therefore, the enthalpy of reaction for the decomposition of calcium carbonate is - 114.7 kJ/mol.

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the international commission of radiological protection has set the limit for yearly radiation exposure at 1000 usv. what is the risk associated with this dose?

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The risk associated with a yearly radiation exposure of 1000 uSv is considered low and poses minimal health effects.

The International Commission on Radiological Protection (ICRP) is an organization that sets guidelines and recommendations for radiation protection. They have determined that a yearly radiation exposure of 1000 uSv (microsieverts) is within the acceptable limit for the general population.

At this dose, the risk of experiencing harmful health effects, such as radiation sickness or increased risk of cancer, is very low. The ICRP takes into account various factors, including scientific evidence and the principle of keeping radiation exposure as low as reasonably achievable (ALARA), to establish these limits.

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determine the value of kc for the following reaction if the equilibrium concentrations are as follows: [hcl]eq = 0.13 m, [hi]eq = 5.6 × 10-16 m, [cl2]eq = 0.0019 m.

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The value of Kc cannot be determined without knowing the equilibrium concentration of I2 ([I2]eq).

What is the value of Kc for the given reaction with the provided equilibrium concentrations?

To determine the value of Kc for the given reaction, we need to use the equilibrium concentrations of the reactants and products. The balanced equation for the reaction is:

HCl + I2 ⇌ HI + Cl2

The equilibrium concentrations are given as [HCl]eq = 0.13 M, [HI]eq = 5.6 × 10^(-16) M, and [Cl2]eq = 0.0019 M.

The expression for Kc is the ratio of the product concentrations raised to their stoichiometric coefficients divided by the reactant concentrations raised to their stoichiometric coefficients:

Kc = ([HI]eq ˣ  [Cl2]eq) / ([HCl]eq ˣ  [I2]eq)

Plugging in the given equilibrium concentrations:

Kc = (5.6 × 10^(-16) ˣ 0.0019) / (0.13 ˣ  [I2]eq)

Since the equilibrium concentration of I2 ([I2]eq) is not provided, we cannot calculate the exact value of Kc in this case. The calculation of Kc requires knowing all the equilibrium concentrations of the reactants and products involved.

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Determine the formula unit and name for the compound formed when each pair of ions interacts. In the formula, capitalization and subscripts are graded. Spelling counts. Al3+ and OH−
Mg2+ and SO2−4
Li+ and NO−3
NH4+ and Cl−

Answers

The formula unit and name for the compounds formed when each pair of ions interacts are as follows:

1. Al³⁺ and OH⁻:

  - Formula unit: Al(OH)₃

  - Name: Aluminum hydroxide

2. Mg²⁺ and SO₄²⁻:

  - Formula unit: MgSO₄

  - Name: Magnesium sulfate

3. Li⁺ and NO₃⁻:

  - Formula unit: LiNO₃

  - Name: Lithium nitrate

4. NH₄⁺ and Cl⁻:

  - Formula unit: NH₄Cl

  - Name: Ammonium chloride

1. Al³⁺ and OH⁻:

The formula unit for the compound formed when Al³⁺ and OH⁻ ions interact is Al(OH)₃. The name of this compound is aluminum hydroxide. It consists of one aluminum ion (Al³⁺) and three hydroxide ions (OH⁻) to achieve charge balance.

2. Mg²⁺ and SO₄²⁻:

The formula unit for the compound formed when Mg²⁺ and SO₄²⁻ ions interact is MgSO₄. The name of this compound is magnesium sulfate. It consists of one magnesium ion (Mg²⁺) and one sulfate ion (SO₄²⁻).

3. Li⁺ and NO₃⁻:

The formula unit for the compound formed when Li⁺ and NO₃⁻ ions interact is LiNO₃. The name of this compound is lithium nitrate. It consists of one lithium-ion (Li⁺) and one nitrate ion (NO₃⁻).

4. NH₄⁺ and Cl⁻:

The formula unit for the compound formed when NH₄⁺ and Cl⁻ ions interact is NH₄Cl. The name of this compound is ammonium chloride. It consists of one ammonium ion (NH₄⁺) and one chloride ion (Cl⁻).

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What is the orbital hybridization of a central atom that has one lone pair and bonds to four other atoms?
sp
sp2
sp3
sp3d
sp3d2

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The orbital hybridization of a central atom that has one lone pair and bonds to four other atoms is sp3. The sp3 hybridization is the result of combining 3p orbitals and one s orbital in the valence shell to create four sp3 hybrid orbitals.

The hybrid orbitals all have the same energy and shape, and they're all spaced out at a 109.5-degree angle. The sp3 hybridization is commonly seen in molecules with tetrahedral geometry, such as methane (CH4), water (H2O), and ammonia (NH3). The four hybrid orbitals of the central atom in these molecules are used to form four bonds with the surrounding atoms, resulting in a tetrahedral shape.

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an antibonding π orbital contains a maximum of ________ electrons.

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An antibonding π orbital contains a maximum of two electrons.

An antibonding molecular orbital, or LUMO (Lowest Unoccupied Molecular Orbital), is a molecular orbital with a higher energy than the atomic orbitals from which it was constructed. The electrons occupying it are thought to have poor overlapping, lowering the stability of the molecule.

One type, known as the π bonding orbital (π bond), is constructed by overlapping two parallel p orbitals with a nodal plane between them, which results in a constructive interference and the formation of a bond. The second kind of π orbital is called the π* antibonding orbital. It is created by the destructive interference of two parallel p orbitals. The π* antibonding orbital has one node and is higher in energy than the π bonding orbital.

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Consider three 1-L flasks at STP. Flask A contains NH3 gas, flask B contains NO2 gas, and flask C contains N2 gas. In which flask are the molecules least polar and therefore most ideal in behavior? a. Flask A b. Flask B c. Flask C d. All are the same. e. More information is needed to answer this.

Answers

As a result, the NH3 and NO2 gas molecules in flasks A and B are more polar than the N2 gas molecule in flask C, making the N2 gas molecule in flask C less polar and most ideal in behavior. Therefore, option C is the correct ..

STP refers to Standard Temperature and Pressure. Standard temperature is 0°C (273.15K) and the standard pressure is 1 atm pressure.

Consider three 1-L flasks at STP. Flask A contains NH3 gas, flask B contains NO2 gas, and flask C contains N2 gas.

According to the given information, we can draw the following conclusion;

The molecule with least polar is N2 gas, so Flask C contains N2 gas is least polar. Nitrogen is a gas that is composed of two nitrogen atoms, and because both of these atoms are identical, the molecule is symmetric. There are no polar bonds in the nitrogen molecule because the two bonds between the nitrogen atoms are the same, and the electronegativity difference between nitrogen and nitrogen is zero.

The electronegativity of Nitrogen is 3.04, whereas for Oxygen it is 3.44. NH3 and NO2 have polarity because the electronegativity of Nitrogen is higher than Hydrogen and Oxygen, which are 2.20 and 3.44 respectively.

As a result, the NH3 and NO2 gas molecules in flasks A and B are more polar than the N2 gas molecule in flask C, making the N2 gas molecule in flask C less polar and most ideal in behavior. Therefore, option C is the correct answer.

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