In the pre-lab questions, you found how the temperature of a sample depended on time as heat flowed out of it into a cold water bath. Here, you found an exponential relation. Specifically, you found that the temperature difference between the sample and the bath decayed exponentially in time as Tdif = (constant) e-t. The decay constant was found by combining the equations for heat/temperature change (Q = mcAT) for both the water bath and the sample, and the rate of heat flow through a sample, = "A (Th – T.) = 6g 2012 (T- Tu) = K520Taif, where Ks is the thermal conductivity of the sample, A = 2nrl is the lateral surface area of the cylindrical sample, I is the length of the cylindrical sample, Ax =s is the thickness (radius) of the cylindrical sample the heat must flow through (from inside to outside), and Tdif = T, – Tw is the difference between the internal temperature of the sample and the temperature of the water bath. Combining these equations and solving the resulting differential equation, we found that the exponential decay constanta = ,291 (m.c. + monew). What is the value of this exponential decay constant for Polly? Your answer should be in s-1. Assume that the average value for thermal conductivity of human tissues is 0.5 W/(m°C) and that Polly's height (length) 1 =1.5 m. Again, Polly's mass is 60 kg, assume here that Polly's specific heat is 3500 J/(kg°C), the water's mass is 300 kg, and the specific heat of water is 4186 J/(kg°C).O 2.3x10-55-1 O 4.8x10651 O 2.6x10-551 O 5.6x10651

Answers

Answer 1

The correct answer is c. The exponential decay constant's value is [tex]2.6*10^{-55 }s^{-1}[/tex].

To find the value of the exponential decay constant, we need to calculate Ks, the thermal conductivity of the sample. We employ the equation to arrive at this. [tex]Ks = mc + mow[/tex],

where m is the mass of Polly, c is the specific heat of the human tissues, and mow is the mass of the water. Plugging in the values for Polly's mass (60 kg), the specific heat of the human tissues (3500 J/(kg°C)) and

the mass of the water (300 kg),

and the specific heat of the water (4186 J/(kg°C)),

we get Ks = 0.5 W/(m°C).

Now, we can plug in the values for Ks, A, I, and Ax into the equation for[tex]Tdif = (constant) e^{-t}[/tex]

to calculate the exponential decay constant. By entering the values, we obtain the equation.

[tex]Tdif = (constant) e^{-t} = (0.5 W/(mC) * 2nrl * 1.5 m * 0.5 m) e^{-t}.[/tex]

Simplifying, we get  [tex]Tdif = 2.6*10^{-55} e^{-t}.[/tex].

Therefore, the value of the exponential decay constant is  [tex]2.6*10^{-55 }s^{-1}[/tex].

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Related Questions

An object travels 15 meters in 5 seconds. What is that object's speed in meters per second?

Answers

Answer:

The object's speed is 3 meters per second.

Explanation:

8. In which of the following situations is the kinetic energy of the object decreasing?
A. A sphere is dropped from a building.
B. A satellite moving is a circular motion around the earth.
C. A baseball is heading upward after being thrown at an angle.
D. An elevator is moving upward at a constant velocity

Answers

The answer is option C. A baseball is heading upward after being thrown at an angle.

What is kinetic energy?

Kinetic energy is a type of energy associated with motion. It is defined as the energy an object possesses due to its motion, and is dependent on both the object's mass and its velocity. The formula for kinetic energy is KE = 1/2 mv^2, where m is the mass of the object and v is its velocity.

Kinetic energy can be transferred between objects, and is often involved in collisions and other interactions. For example, when a moving object collides with another object, some of its kinetic energy may be transferred to the second object. Kinetic energy is an important concept in physics and is used in many real-world applications, such as in the design of vehicles, machines, and athletic equipment.

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After a workplace incident requiring first aid, why is it beneficial to review the first aid response? (select 3 correct answers).

Answers

After a workplace incident requiring first aid, is it beneficial to review the first aid response because:

1) The WHS Act and Regulations make it a legal duty.

2) That the initial responder/s were properly trained for the occurrence.

3) Verify the efficacy of the workplace's first aid strategy and risk management procedure.

A review of first aid occurrences may be required by the workplace health and safety (WHS) act and regulations to confirm that correct procedures and protocols were followed and to identify any areas for improvement.

Confirming that the first aider/s had the requisite training for the event is critical to ensuring that the appropriate steps were taken during the incident and that the first aider/s were equipped with the knowledge and abilities to respond correctly.

After an event, review the first aid response to confirm the success of the workplace's first aid strategy and risk management approach. This can aid in identifying areas for development and preparing the workplace for similar situations in the future. The study may involve assessing the availability and accessibility of first aid equipment and supplies, as well as first aid personnel response time.

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Would the field representation of a positive or negative charge be a better
representation for the gravitational field around one mass? Why?

Answers

Field representation of a positive or  of a positive or negative charge cannot be a representation for the gravitational field around one mass. It height from the ground must be determined.

What is gravitational force?

The gravitational force is a kind of force by which an object attracts other objects into its center of a mass. Earth attracts every objects in its surface in to the ground and that is why we are all standing on the ground.

Gravitational force between two objects depends on their mass and distance between them. The field representation of the charge does not represent a gravitational field but it can show an electric field between them.

The height of the mass from the surface have to be determined to represent the gravitational field. The gravitational field is not at all depending on the charge of the object.

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the way an object appears to move across the sky defintion

Answers

Answer:

the apparent displacement or the difference in apparent direction of an object as seen from two different points not on a straight line with the object.

What is the approximate diameter of a neutron star pick the closest answer )?

Answers

Neutron star diameter estimated to be between 10 and 20 kilometers (6 to 12 miles), which is extremely small compared to other astronomical objects.

The diameter of a neutron star can vary depending on its mass, rotation, and other properties. However, it is generally estimated to be between 10 and 20 kilometers (6 to 12 miles), which is extremely small compared to other astronomical objects like planets and stars.

Neutron stars are extremely dense and compact objects that form when a massive star undergoes a supernova explosion and its core collapses. This collapse causes the protons and electrons in the star to merge and form neutrons, which results in a neutron star. Because neutron stars are so small and dense, they have very strong gravitational fields and are surrounded by extremely powerful magnetic fields.

While the exact diameter of a neutron star can be difficult to measure, scientists have used a variety of methods to estimate their size, including observations of their rotation and interactions with other objects in space. Despite their small size, neutron stars are incredibly important in the study of astrophysics and have helped scientists to better understand the nature of matter, gravity, and the universe itself.

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T/F : when two batteries are connected as a series additive power source, they produce a voltage that is less than either of the batteries connected by itself.

Answers

This statement is False as batteries connected as a series additive power source doesn't produce a voltage that is less than either of the batteries connected by itself.

The battery is a tool for powering electrical appliances that is made up of one or more electrochemical cells with external connections. Batteries in a specific circuit are either connected in series or parallel depending on how many there are. It is essential to comprehend the differences between series and parallel connections since they affect how batteries function in various applications. Batteries can be linked in both series and parallel configurations. A battery with this configuration is known as a series-parallel battery. Occasionally the load may need more voltage and current than a single battery cell is capable of providing. The desired number of batteries are coupled in series to produce the necessary current, and these series combinations are connected in parallel to produce the necessary load voltage.

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Which object has the greatest momentum?* A. A sports car driving on the highway.
B. A baseball thrown by a professional pitcher.
C.An 18-wheeler tractor trailer at rest.
D. An average mass person walking.​

Answers

Answer: B

Explanation: The best answer is B. A baseball thrown by a professional pitcher. Momentum is the product of an object's mass and its velocity. Since the baseball has the greatest velocity of all the objects listed, it has the greatest momentum.

A transformer has a primary coil with 175 turns of wire and a secondary coil with 700 turns. An AC voltage source connected across the primary coil has a voltage given by the function
Δv = (200 V)sin(t).
What rms voltage (in V) is measured across the secondary coil?

Answers

The rms voltage measured across the secondary coil is 565.68 V.

What does rms value mean?

The root mean square (RMS) value of an alternating current (AC) or voltage is the equivalent steady direct current (DC) value that produces the same heating effect or power dissipation in a resistor. In other words, it is the DC voltage or current that would produce the same amount of heat as the AC voltage or current over a given time period.

The rms voltage (V_rms) across the secondary coil can be calculated using the formula:

V_rms,secondary = (N_secondary/N_primary) * V_rms,primary

where N_secondary is the number of turns in the secondary coil, N_primary is the number of turns in the primary coil, and V_rms,primary is the rms voltage across the primary coil.

The rms voltage across the primary coil can be found from the given voltage function:

V_rms,primary = (1/√2) * V_peak,primary

where V_peak,primary = 200 V is the peak voltage across the primary coil.

Substituting the values, we get:

V_rms,primary = (1/√2) * 200 V = 141.42 V

Now, using the formula above, we can calculate the rms voltage across the secondary coil:

V_rms,secondary = (700/175) * 141.42 V = 565.68 V

Therefore, the rms voltage measured across the secondary coil is 565.68 V.

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define henry and its dimnsions

Answers

Answer:

The henry (symbolized H) is the International System of Units (SI) derived unit of electrical inductance. Reduced to base SI units, one henry is the equivalent of one kilogram meter squared per second squared per ampere squared (kg m2 s-2 A-2).

Jackie studied stresses that affect earth's crust. How is compression of rock different from shearing?.

Answers

"Compression of rock is nothing but squeezing the rock together and shearing is pushing the rock in opposing directions."

It squeezes the boulder as a whole and should cause the pulls to shear. This is because compression causes the weight necessary for rocks to be squeezed. Additionally, the rock's draws shouldn't be spaced apart. It shouldn't be going in opposing ways either.

When rocks are compressed together, they fold, fracture, or even shatter. Compression stress is the most prevalent stress at convergent plate boundaries. There is stress when rocks are being torn apart. Under stress, rocks either lengthen or fragment.

Due to the compression pushing the hanging wall up in relation to the footwall, if the fault arises in a scenario of compression, it will be a reverse fault.

Compressional stresses cause a rock to shorten. A rock elongates or pulls apart as a result of tensional pressures. Shear forces cause rocks to slide past one another.

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In the Millikan oil-drop experiment illustrated in the figure below, an atomizer (a sprayer with a fine nozzle) is used to introduce many tiny droplets of oil between two oppositely charged parallel metal plates. Some of the droplets pick up one or more excess electrons. The charge on the plates is adjusted so that the electric force on the excess electrons exactly balances the weight of the droplet. The idea is to look for a droplet that has the smallest electric force and assume it has only one excess electron. Suppose e are using an electric field of 6.45 104 NC. The charge on one electron is l 60 10-19 С. Calculate the radius of an oil dop , de sty 90aa ml for th h its weight could be balanced by the electric force of this field on one electron Oil droplets Pinhole Light Telesxcope with cale in eyepiece um

Answers

The radius of the oil droplet in this experiment is approximately 1.11 x 10^-7 meters.

The Millikan oil-drop experiment was designed to determine the fundamental unit of electrical charge, the charge on a single electron, by observing the behavior of charged oil droplets suspended in an electric field. To calculate the radius of an oil droplet given the electric field strength and the charge on one electron, we can use the following formula:

q = mg / E

where q is the charge on the droplet, m is the mass of the droplet, g is the acceleration due to gravity, and E is the electric field strength.

Assuming that the droplet has only one excess electron and that its weight is balanced by the electric force of the field on that electron, we can write:

q = e

where e is the charge on one electron.

Equating these two expressions for q, we can solve for the mass of the droplet:

mg / E = e

m = eE/g

Next, we can use the density of the oil droplet to calculate its volume and then its radius:

[tex]V = (4/3)πr^3 = m/ρ[/tex]

[tex]r = [(3m/4πρ)]^(1/3)[/tex]

where ρ is the density of the oil.

Substituting in the given values, we get:

[tex]m = eE/g = (1.60 x 10^-19 C)(6.45 x 10^4 N/C)/(9.81 m/s^2) = 1.04 x 10^-14 kg[/tex]

ρ = 0.90 g/cm^3 = 900 kg/m^3

[tex]r = [(3m/4πρ)]^(1/3) = [(3(1.04 x 10^-14)/(4π)(900))]^(1/3) = 1.11 x 10^-7 m[/tex]

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A force of 227 N is spread over an area of 3 m². What is the pressure?

Answers

Answer:

Explanation:

p=227/3=75.66Pascal

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Pressure is defined as : Force per unit Area

[tex]\qquad \sf  \dashrightarrow \: p = \dfrac{force}{area} [/tex]

[tex]\qquad \sf  \dashrightarrow \: p = \dfrac{227}{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: p \approx75.67 \: \: pascals[/tex]

[ note : to get pressure in pascals, force and area should be in S.I unit, it's given in S.I unit in given question, but if not you can make conversion first and then solve ]

When voltage sources are connected in series, the total voltage is equal to the algebraic sum of the individual voltages.a. trueb. false

Answers

The third rule of a series circuit states that the sum of the individual voltages equals the total voltage.

These demonstrate the truth of the previous claim, which reads, "When voltage sources are connected in series, the overall voltage is equal to the algebraic sum of the individual voltages?"

The supply voltage is equal to the total of the component voltages in a series circuit. The voltages across each component in a series circuit are proportional to their resistances. This means that when two similar components are linked in series, the supply voltage is divided equally.

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Which of the following statements concerning momentum is true?
Which of the following statements concerning momentum is true?
*
A.) Momentum is a scalar quantity.
B.)The momentum of an object is always positive.
C.)Momentum is a force.
D.) Momentum is a vector
E.)The SI unit of momentum is the Newton.​

Answers

The statement that is true about momentum is as follows: Momentum is a vector (option D).

What is momentum?

Momentum is the tendency of a body to maintain its inertial motion. It is the product of its mass and velocity, or the vector sum of the products of its masses and velocities.

Momentum is a vector quantity i.e. it has both magnitude and direction.

Since momentum is a product of mass and velocity, it's S.I unit is kgm/s or N/s.

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Momentum is that momentum is a vector quantity. Therefore, the answer is option D.Momentum is a property of objects that are moving, that is, an object's tendency to stay in motion. Momentum is a measure of an object's motion or its inertia in motion.

An object's momentum is calculated as the product of its mass and its velocity, with the direction of momentum being the same as the direction of velocity.Vector and scalar quantitiesMomentum is a vector quantity because it has both magnitude and direction. A scalar quantity, on the other hand, is a quantity that has only magnitude and no direction.

For example, speed is a scalar quantity because it is defined as distance divided by time and has only magnitude (no direction).In physics, there are two types of quantities: vector quantities and scalar quantities. A vector quantity is a quantity that has both magnitude and direction, whereas a scalar quantity is a quantity that has only magnitude.

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An object has an acceleration of 25.3 m/s/s. If the mass of the object is Increased by a factor of 2.91, then the new
acceleration would be
m/s/s. Assume that the force exerted on the object remains constant. Round your
answer to 3 significant figures

Answers

The new acceleration of the object is therefore a' = a / 2.91 = 25.3 m/s/s / 2.91 = 8.69 m/s/s to 3 significant figures.

How did we get the value?

We know that the force exerted on an object is equal to its mass times its acceleration, or F = m * a. If the force exerted on the object remains constant, then the new acceleration of the object after its mass has been increased by a factor of 2.91 can be calculated as follows:

a' = F / (m * 2.91) = F / m'

Where m' is the new mass of the object.

Substituting the original acceleration and mass into the equation, we get:

a' = F / (m * 2.91) = F / (m * 2.91) = (m * a) / (m * 2.91) = a / 2.91

The new acceleration of the object is therefore a' = a / 2.91 = 25.3 m/s/s / 2.91 = 8.69 m/s/s to 3 significant figures.

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A motorist runs out of gas on a level road 210 m from a gas station. The driver pushes the 1,180 kg car to the gas station. If a 140 N force is required to keep the car moving, how much work (in J) does the driver do?

Answers

Answer:

the driver does 29,400 J of work in pushing the car to the gas station.

Explanation:

To find the amount of work done by the driver, we need to know the force applied by the driver and the distance the car is moved.

The force applied by the driver is given as 140 N, and the distance the car is moved is given as 210 m.

Work done can be calculated using the formula:

W = F * d * cos(θ)

where W is the work done, F is the force applied, d is the distance moved, and θ is the angle between the force and the displacement. Since the force and displacement are in the same direction, θ = 0, and the cosine of 0 is 1.

So,

W = F * d * cos(θ) = 140 N * 210 m * 1 = 29,400 J

6.
(3 points) What is the mass in g of 500.0 mL of propylene glycol,
which has a density of 1.036 g/mL? Express your answer to the
correct number of significant figures.

Answers

Taking into account the definition of density, the mass of 500.0 mL of propylene glycol, which has a density of 1.036 g/mL, is 518 g.

Definition of density

Density is the amount of matter in a given space and is defined as the amount of mass of a substance per unit volume.

In other words, density is defined as the amount of mass in a certain volume of a substance.

The expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:

density= mass÷ volume

Mass of propylene glycol

In this case, you know that:

Density= 1.036 g/mLVolume= 500 mL

Replacing in the definition of density:

1.036 g/mL= mass÷ 500 mL

Solving:

mass= 1.036 g/mL×500 mL

mass= 518 g

Finally, the mass is 518 g.

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A proton moving along the lines of force of a uniform electric
field, the intensity of which is 10 kV/m, increased its speed from 106 m/s
up to 1.1∙ 106 m/s. Find: 1) potential difference between points, 2)
acceleration of a proton, 3) path of a proton during acceleration, 4) work
electric field. The charge of a proton is 1.6 ∙ 10−19 K; the mass of a proton
1.67 ∙ 10−27 kg.

Answers

1) The potential difference between points is 100 V. 2) The acceleration of the proton is 10 kV/m. 3) The path of the proton during acceleration is a straight line in the direction of the electric field. 4) The work done by the electric field is 1.6E-19 * 100 = 1.6E-17 J.

NEEEEDD HELPP...........

Answers

a. The total energy is 10.75 J

b. The elastic potential energy at t= 1.25 s is 2.69 J

What is energy?

Energy is the ability to do work.

What is elastic potential energy?

Elastic potential energy is energy stored in a spring.

a. How to find the total energy of the system?

The total energy of the system is the maximum elastic potential energy of the system. It is given by E' = 1/2kx'² where

k = spring constant and x = maximum displacement

Given that

k = 21.5 N/m andx' = 1.0 m (from the graph)

Substituting the values of the variables into the equation, we have that

E = 1/2kx'²

= 1/2 × 21.5 N/m × (1.0 m)²

= 1/2 × 21.5 N/m × 1.0 m²

= 10.75 Nm

= 10.75 J

The total energy is 10.75 J

b. What is the potential energy stored in the system at t = 1.25 s?

The potential energy stored in the system is given by

E = 1/2kx² where

k = spring constant and x = displacement

At t = 1.25 s from the graph, x = -0.5 m

Since k = 21.5 N/m, substituting the values of the variables into the equation, we have

E = 1/2kx²

E = 1/2 × 21.5 N/m × (-0.5 m)²

E = 1/2 × 21.5 N/m × 0.25 m²

E = 10.75 N/m × 0.25 m²

E = 2.6875 Nm

E = 2.6875 J

E ≅ 2.69 J

The potential energy is 2.69 J

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Gulliver's travels which has this fantasy of the whole island of laputa, floating in air.
Could magnets be involved?​

Answers

Answer:

In Gulliver's Travels, the floating island of Laputa is described as being suspended in the air without any visible means of support, and there is no explicit mention of magnets being involved in its levitation. However, it is worth noting that during the 18th century, when Jonathan Swift wrote the novel, there was a growing interest in the properties of magnets and their potential applications in various fields, including navigation, medicine, and even levitation. In fact, some scholars have suggested that Swift may have been inspired by the popular beliefs and speculations about magnets and their possible effects on gravity and motion.

It's not possible to accurately determine how many magnets would be required to make Laputa, the floating island in Gulliver's Travels, suspended in the air because the idea of a floating island is purely fictional and not based on any known physical principles or scientific laws.

Even if we assume that magnets were involved in the levitation of Laputa, it would depend on a wide range of factors, including the size and weight of the island, the strength and orientation of the magnets, the distance between the magnets and the island, and other variables that are not specified in the novel.

Furthermore, magnets by themselves do not have the power to suspend large objects in mid-air. While magnets can be used to create magnetic levitation, or maglev, for small objects like trains or toy cars, the magnetic fields required to lift an entire island would be orders of magnitude larger and more complex than anything currently feasible with our technology.

In short, the idea of Laputa as a floating island is best understood as a literary and imaginative device, rather than a scientifically plausible concept.

That being said, it's important to remember that Gulliver's Travels is a work of fiction and should be enjoyed primarily as a literary creation, rather than a scientific treatise. The idea of a floating island is a fantastical element that serves to underscore Swift's satirical commentary on various aspects of contemporary society and politics. While it is certainly possible to speculate on the mechanics of how such an island might actually levitate, this is not necessarily the most fruitful or rewarding approach to engaging with the novel's themes and meanings.

c. i) A block of mass of 2 kg with constant velocity is pushed along a table by a
force of 5N, what is the magnitude of the force opposing its motion?

Answers

Answer:

The Force of Friction:

Friction is a self-adjusting force. The block in the question is moving with constant velocity under the force of 5 N. This implies that the force of kinetic friction acting on the block is also 5 N, acting opposite to the applied force and net force on the block is

Record your data either in your lab notebook or in the tables below.
Table A
(T₁= 25°C; mwater 1.0 kg; meylinder = 5.0 kg)
h
AT
Cylinder
Height
Change in
Water
Temperature
(m)
(°C)
100
200
500
1,000
Table B
(T₁= 25°C; mwater = 1.0 kg; h= 500 m)
mc
Cylinder
Mass
(kg)
Ts
Final
Temperature
of Water
(°C)
1.0
3.0
6.0
9.0
Ts
Final
Temperature
of Water
(°C)
AT
Change in
Water
Temperature
(°C)
PEg
Gravitational
Potential Energy
of Cylinder
(kJ)
PE,
Gravitational
Potential Energy
of Cylinder
(kJ)
ΔΗ
Heat
Generated
(kJ)
ΔΗ
Heat
Generated
(kJ)

Answers

Answer:

play used his in but been been by in BBC in in in just not is suspension as SBB is is abbess a

Explanation:

no exception

A compound has a molar mass of 123. 22 g/mol. What is the molecular formula of a substance that has this molar mass?.

Answers

If the given compound has a molar mass of 123.22 g/mol then, SrS is the molecular formula of a substance that has this molar mass. Therefore, option c is the correct answer according to the given information.

The molecular formula is defined as the number of atoms present in the molecules of a chemical compound when the two molecules of different substances are combined together. The molecular mass is the mass of a given molecule measured in daltons.

The molar mass of Strontium = 87.22g/mol

The molar mass of Sulfur = 32 g/mol.

The total molecular mass of these two combined compounds

= Strontium + Sulfur = SrS

SrS = 87.22 + 32 = 123.22g/mol.

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The complete question is-

A compound has a molar mass of 123.22 g/mol. what is the molecular formula of a substance that has this molar mass?

A. CoH4

B. PSF3

C. SrS

D. ZrO2

A 1500 kg car traveling east at 20 m/s collides with a moving 2500 kg truck moving 30 m/s west..  After they collide, the two interlock and move together.  What was the final velocity of the truck? (Hint-momentum is a vector and direction matters, use + or - values as appropriate)* A. 11.25 m/s west B. 11.25 m/s east C. 32.6 m/s east D. 32.6 m/s west​

Answers

Answer:

A

Explanation:

The final velocity of the truck can be calculated using the law of conservation of momentum. The law states that the total momentum of a closed system (the car and truck) remains constant unless an external force acts on the system.

Let's call the final velocity of the system (car + truck) after the collision vf.

The initial momentum of the car before the collision is equal to m1 * v1 = 1500 kg * 20 m/s = 30000 kg m/s, where m1 is the mass of the car and v1 is its initial velocity.

The initial momentum of the truck before the collision is equal to m2 * v2 = 2500 kg * -30 m/s = -75000 kg m/s, where m2 is the mass of the truck and v2 is its initial velocity.

The total initial momentum of the system before the collision is equal to the sum of the initial momenta of the car and truck:

p_initial = m1 * v1 + m2 * v2 = 30000 kg m/s + (-75000 kg m/s) = -45000 kg m/s.

After the collision, the final momentum of the system is equal to the sum of the final momenta of the car and truck:

p_final = m1 * vf + m2 * vf = (1500 kg + 2500 kg) * vf = 4000 kg * vf.

Since the total momentum of the system is conserved, we can set the initial and final momenta equal to each other:

-45000 kg m/s = 4000 kg * vf

Finally, we can solve for the final velocity of the system (truck):

vf = -45000 kg m/s / 4000 kg = -11.25 m/s

Since the truck was moving west before the collision, the final velocity is 11.25 m/s west, so the answer is A. 11.25 m/s west.

block and sphere are connected by a cord that passes over a pulley, as shown. Neglect friction and assume the cord is massless,
m1= 2.00 kg,
m2= 540 kg, and θ= 49.0∘.
What is the tension (in N) in the cord?

Answers

Tension is a force along the length of a medium, especially a force carried by a flexible medium, such as a rope or cable.

The tension in the cord is approximately 10624 N.

To solve this problem, we can use the principles of Newton's laws and apply them to each of the objects involved. We will also use the fact that the tension in the cord is the same on both sides of the pulley (neglecting any friction or mass in the pulley).

First, we can consider the forces acting on the block (m1). The only forces acting on the block are its weight (mg) and the tension in the cord (T), which is directed upward. We can resolve these forces into components parallel and perpendicular to the inclined plane:

The weight of the block has a component parallel to the inclined plane given by [tex]mg*sin(θ)[/tex].

The tension in the cord has a component parallel to the inclined plane given by [tex]T*sin(θ)[/tex].

Using Newton's second law, we can write:

[tex]m1 * a = T * sin(θ) - m1 * g * sin(θ)[/tex]

where a is the acceleration of the block down the inclined plane.

Next, we can consider the forces acting on the sphere ([tex]m2[/tex]). Since the sphere is hanging from the cord, the only force acting on it is its weight ([tex]mg[/tex]), which is directed downward. Using Newton's second law, we can write:

[tex]m2 * a = m2 * g - T[/tex]

where a is the acceleration of the sphere downward.

Since the cord is assumed to be massless and the pulley is assumed to be frictionless, the tension in the cord is the same on both sides of the pulley. Therefore, we can set the two expressions for T equal to each other:

[tex]T * sin(θ) - m1 * g * sin(θ) = m2 * g - T[/tex]

Solving for T, we get:

T = [tex](m2 + m1) * g / (sin(θ) + 1)[/tex]

Substituting the given values, we get:

T = [tex](540 kg + 2.00 kg) * 9.81 m/s^2 / (sin(49.0°) + 1)[/tex]

T = 10624 N (to three significant figures)

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The experiment began by placing a white rat in front of the infant, who initially had no fear of the animal. watson then produced a loud sound by striking a steel bar with a hammer every time little albert was presented with the rat. after several pairings (the noise and the presentation of the white rat), the boy began to cry and exhibit signs of fear every time the rat appeared in the room. also afraid of similar objects, including other furry animals. watson also created similar conditioned reflexes with other common animals and objects (rabbits, santa beard, etc.) until albert feared them all.

Answers

The Little Albert experiment is controversial and ethically questionable by today's standards, as it involved intentionally inducing fear in a child and potentially causing lasting psychological harm

The experiment you are describing is known as the "Little Albert" experiment and was conducted by John B. Watson and his graduate student Rosalie Rayner in 1920. The purpose of the experiment was to demonstrate the principles of classical conditioning, which is a type of learning where an individual learns to associate a neutral stimulus with a meaningful stimulus and responds accordingly.

In the case of Little Albert, the white rat was initially a neutral stimulus that did not elicit any fear or emotional response from him. However, when Watson and Rayner paired the presentation of the rat with a loud, startling noise (the unconditioned stimulus), Little Albert began to associate the two stimuli and developed a fear response (the conditioned response) to the rat alone (the conditioned stimulus).

Watson and Rayner then went on to demonstrate that Little Albert's fear response had generalized to other similar stimuli, such as other furry animals and even a Santa Claus mask. This demonstrated the idea of stimulus generalization, where a conditioned response can be elicited by stimuli that are similar to the original conditioned stimulus.

The true identity of Little Albert was never definitively established, and it is not known what became of him after the experiment.

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What is the gauge pressure in atm at point p , where the needle meets the wider body of the syringe? the pressure at the exit of the needle is 1. 0 atm.

Answers

The water gauge pressure at location P is;

P p = 104525 Pa

We have been provided;

L = 4 cm = 0.04 m needle length

Water's viscosity; = 1 10(-3) Pa

r = 1 mm = 0.001 m Radius

v = 10 m/s is the speed.

The flow rate via a cylindrical pipe may be calculated using Poiseuille's equation for viscous liquid flow.

Q = (ΔP•πr⁴)/(8ηL)

Flow rate is now also written as;

Q = πr²v

Thus;

πr²v = (ΔP•πr⁴)/(8ηL)

This boils down to;

v = (ΔP•r²)/(8ηL)

Inserting the necessary values;

10 = (ΔP × 0.001²)/(8 × 10^(-3) × 0.04)

ΔP = (10 × 8 × 10^(-3) × 0.04)/(0.001²)

ΔP = 3200 Pa

This implies that;

P atm - P p = P

Where;

P p is the water gauge pressure at point P.

P atm is atmospheric pressure, which equals 101325 Pa.

Thus;

P p - 101325 = 3200

P p = 101325 + 3200

P p = 104525 Pa

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If two bowling balls were to collide head on stick to one another, with some loss in kinetic energy, the collision would be considered a(n) ___________ collision.
A.Cushy
B .Perfectly Inelastic
C.Reversable
D.Elastic​

Answers

The correct answer is a cushy

You're 6.0 m from one wall of a house. You want to toss a ball to your friend who is 6.0 m from the opposite wall. The throw and catch each occur 1.0 m above the ground.(Figure 1) Assume the overhang of the roof is negligible, so that you may assume the edge of the roof is 6.0 m from you and 6.0 m from your friend.
What minimum speed will allow the ball to clear the roof?
At what angle should you toss the ball?
Please explain for 5stars

Answers

The ball needs to go at least  speed is 13 m/s per second to be able to clear the ceiling.

angle should you toss the ball 46.26°.

From the query, we learn that

We are 6.0 metres away from one home wall.

who is 6.0 metres from the wall across from you.

Both the throw and the catch take place one metre above the ground.

Assume that you and your companion are both 6.0 metres from the edge of the roof.

The Newtons equation for the distance is typically expressed numerically as

[tex]s=v*t+\frac{a}{2}*t^{2}\\5=0*t+4.9*t^{2}\\t=1.04[/tex]

Therefore

[tex]2*t = 2.0s[/tex]

Where

[tex]18=V_{x} *2.0\\V_{x} =8.9[/tex]

And

[tex]5=V_{y} *1.04-4.9*1.04^{2}\\V_{y} =9.8[/tex]

Therefore

[tex]V=\sqrt{V_{y}^{2}+V_{x} ^{2} } \\V=\sqrt{(9.8)^{2}+(8.9)^{2}} \\\V=13m/s[/tex]

In order to determine the angle at which you should toss the ball, you must first calculate the distance between you and your friend. This is done by using the Pythagorean Theorem to calculate the hypotenuse of the right triangle formed by the two walls and the distance between you and your friend:

[tex]C = \sqrt (6.0m)^2 + (6.0m)^2 \\ = 8.485m[/tex]

Now you can calculate the angle using trigonometry. Since the triangle is a right triangle, you can use the inverse tangent function to calculate the angle:

tan⁻¹[tex](\frac{6.0m}{8.485m})[/tex] = 46.26°

Therefore, you should toss the ball at an angle of 46.26°.

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