An object whose center of gravity is above its base of support will be unstable if a vertical line projected downward from the center of gravity falls outside of the base of support. This statement is true.
The center of gravity of an object is the point at which its weight can be considered to act. If the center of gravity is above the base of support, the object will tend to tip over or fall if the vertical line projected downward from the center of gravity falls outside of the base of support.
If the base of support is not wide enough to counteract this torque, the object will become unstable and tip over.
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what the coloring agents for some textile workers crossword?
The coloring agents used by textile workers are commonly referred to as "dyes."
Coloring agents are substances used to impart color to a variety of materials such as food, textiles, cosmetics, and plastics.
"A yellow food coloring commonly used in processed foods"
Tartrazine
"A blue food coloring commonly used in sports drinks"
: Brilliant Blue FCF
"A red food coloring commonly used in beverages and baked goods"
Allura Red AC
"A green food coloring commonly used in candies and chewing gum"
Fast Green FCF
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the line current in a balanced three-phase, wye-connected, resistive load is 25 a. what will happen if the neutral wire is disconnected?
Because of the imbalance, the power protection circuits will activate
if the neutral wire is unplugged.
If the neutral wire is damaged or disconnected, the out-of-balance current cannot, but must, return to the supply via the star point. As a result, this current follows the wires back to the source. The neutral current and neutral power in a balanced system are both zero. A balanced three-phase system may be thought of as three single-phase systems linked to a neutral line. As a result, if the supply voltage and motor impedance are both balanced, the induction motor draws a balanced current. The balancing current in the motor's three phases results in no current in the neutral. As a result, there is no need for a neutral in a three-phase induction motor.
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How did katherine johnson respond when it seemed that certain meetings at nasa were only for men?
Katherine Johnson accepted that the meetings were only for men and didn't ask to attend.
What is meeting?Meetings are when two or more people get together to talk about one or more topics, frequently in a formal or business setting, though they can also happen in a variety of other settings. Group decision-making can be done during meetings.
A meeting is a gathering of two or more individuals called for the express purpose of engaging in verbal interaction in order to accomplish a common objective, such as exchanging information or coming to a consensus. Face-to-face meetings can take place virtually through the use of communications technology, such as a telephone conference call, a skped conference call, or a videoconference.
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each different signal in a 1h nmr spectrum represents a different of hydrogen atom. hydrogen atoms that are give the same signal.
In a 1H NMR spectrum, different signals represent different types of hydrogen atoms. Hydrogen atoms in different chemical environments will have different resonant frequencies due to the local magnetic field they experience.
However, it is possible for hydrogen atoms in the same chemical environment to give the same signal. This occurs when they are in identical chemical environments and experience the same local magnetic field. In this case, they will have the same resonant frequency and contribute to the same peak or signal in the NMR spectrum. These hydrogen atoms are said to be chemically equivalent.
It is important to note that chemically equivalent hydrogen atoms do not have to be in the same molecule. For example, in a mixture of two different molecules with the same chemical environment, the hydrogen atoms in both molecules will contribute to the same NMR signal.
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waves of muscular contractions that propel food along the gastrointestinal tract are called:______.
The waves of muscular contractions that propel food along the gastrointestinal tract are called peristalsis.
Peristalsis is a coordinated and sequential contraction of smooth muscles that propels food through the digestive system. It starts when food is ingested and swallowed, and it continues until the food is eliminated from the body. Peristalsis occurs throughout the gastrointestinal tract, including the esophagus, stomach, small intestine, and large intestine. The contractions of peristalsis help mix the food with digestive juices and move it along the digestive tract, allowing the body to absorb nutrients and eliminate waste products efficiently. The waves of peristalsis are controlled by the enteric nervous system, which operates independently of the central nervous system and can function even if the nerves that connect the brain and the gut are severed.To know more about waves visit:
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An electron is placed between equal and oppositely charged parallel plates separated by 10 mm. It experiences an acceleration of1.75×10 ∧ 14 m/s ∧ 2. What is the potential difference between the charged parallel plates? Image size: s ML Max Please enter a numerical answer below. Accepted formats are numbers or "e" based scientific notation e.g.0.23, 2 , 1e6.5.23e−8
The potential difference between the charged parallel plates, charged parallel plates separated by 10 mm is 3.5 x 10³.
The potential difference is directly inversely proportional to the distance between the plates since the electric field is kept constant.
We shall assert in this situation that if the distance between the plates is lowered, the potential difference between the plates will also decrease.
The difference in potential between two places in a circuit represents the energy needed to transport a unit charge, or one coulomb, from one point to the other. Volts or joules per coulomb are used to express potential difference.
capacitance of parallel plate capacitor
c = ε A / d , d is distance between plates , A is surface area , ε is constant
As d becomes two times , Capacitance c = 1/ 2 times ie c / 2
potential V = Q / C
Q is constant , potential
v = Q / c /2
= 2 . Q / C
= 2 V
So potential difference becomes 2 times.
NEW P D = 1.75 X 2
= 3.5 x 10³
potential difference between the charged parallel plates is 3.5 x 10³
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How does an object's motion change as a result of centripetal acceleration?
Centripetal acceleration, the acceleration of a body traversing a circular path. Because velocity is a vector quantity (that is, it has both a magnitude, the speed, and a direction), when a body travels on a circular path, its direction constantly changes and thus its velocity changes, producing an acceleration.
subduction zones occur a what type of plate boundary?
Subduction zones occur at convergent plate boundaries, where two tectonic plates are colliding with each other.
There are three types of convergent plate boundaries: oceanic-oceanic, oceanic-continental, and continental-continental. In oceanic-oceanic convergence, one oceanic plate is forced beneath another, and the subducting plate is usually the older and denser of the two. In oceanic-continental convergence, an oceanic plate is forced beneath a continental plate, creating a deep ocean trench and a chain of volcanic mountains on the continent. In continental-continental convergence, the two plates collide and cause crustal thickening, mountain building, and deformation.
Subduction zones are areas where one tectonic plate is forced underneath another plate, usually because the subducting plate is denser than the plate it is colliding with. As the plates move towards each other, the subducting plate is pushed deep into the Earth's mantle, causing it to melt and form magma.
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how would the contour plots change if you switch the position of the power leads from the pasco power supply on your templates? in your answer, describe any changes to the electric field of your template.
Switching the position of the power leads from the Pasco power supply on your templates would reverse the direction of the electric field between the electrodes in the template.
This would result in a reversal of the direction of the current flow and a corresponding reversal of the direction of the magnetic field induced in the sample being measured.
As a result, the contour plots would be mirrored or flipped along a vertical axis compared to the original plots obtained with the power leads in their original position. The areas of highest and lowest magnetic field strength would be swapped, and the field lines would curve in the opposite direction.
Additionally, any current-induced magnetic effects in the sample being measured would be reversed. For example, if the sample contained a current-carrying wire or coil, the direction of the induced magnetic field would also be reversed, and the contour plots would show a different pattern of magnetic field lines.
It is important to note that reversing the direction of the electric field in the template could potentially cause other effects or changes in the measurement, depending on the specific experiment or setup being used. Therefore, it is important to carefully consider the effects of any changes in the experimental setup and to account for these effects in the analysis of the results.
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whether a truck comes to a stop by crashing into a haystack or a brick wall, the stopping force is
both the same.
greater with the haystack.
greater with the brick wall..
When a truck comes to a stop by crashing into a haystack or a brick wall, the stopping force is greater with the brick wall. Stopping force is determined by the amount of friction a surface provides.
Friction is a force that acts between two objects when they come into contact with each other. It is an important force that affects our everyday life. Friction can be both beneficial and detrimental. It is beneficial in that it allows us to walk, run, drive, and even write without slipping or sliding. It also helps us to stop when we need to. On the other hand, friction can be detrimental when it causes machines to wear down, resulting in energy being wasted. Friction can also cause heat, noise, and wear on the surfaces of the two objects.
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who described the universe as a giant clock with unified rules for gravity and motion?
Isaac Newton described the idea that the universe as a giant clock with unified rules for gravity and motion.
The clockwork universe is commonly stated with Sir Isaac Newton but it turns out that both he and his close philosophical supporter Samuel Clarke both strongly criticized the notion of the clockwork universe, because it left no room for Divine Providence.
The faster a clock moves, the slower time passes according to someone in a different frame of reference.
In the history of science, the clockwork universe compares the universe to a mechanical clock. It continues ticking along, as a perfect machine, with its gears governed by the laws of physics, making every aspect of the machine predictable.
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knowing that the tension in cable ab is 155 lb and that the resultant of the load p and of the forces exerted at a by the two cables must be directed along oa, determine the magnitude of the load p.
Magnitude of the load p, the resultant of the load p and of the forces exerted at a by the two cables must be directed along is 16.22 lb.
In engineering, the word "load" is widely used to refer to the force applied to a surface or mass.
Tab = 155 lb
Tab = Tab λ ab
= 155 x (-48)i + 29j + 24k/61
Tab = (-121.92)i + 73.66j + 60.96 k
Tac = Tac λac
= -48/65Tac i + 25/65Tac j - 36/65Tac k
For resultant to be directed along OA i.e x-axis
Tac = 110.06 lb
R = (-121.92lb i + 73.66lb j + 60.96lb k) + [-48/65Tac i + 25/65Tac j - 36/65Tac k]
To find the magnitude of P we take only J variable
73.66 + 25/65 Tac - P = 0
P = 73.66 + 25/65(110.66)
P = 16.22 lb is the magnitude of the load.
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5. What is the momentum of a 0.05 kg golf ball moving at 240 m/s?
Answer:
12 kg m/s.
Explanation:
The momentum of an object is equal to its mass times its velocity. In this case, the mass of the golf ball is 0.05 kg and its velocity is 240 m/s, so the momentum of the golf ball is:
0.05 kg * 240 m/s = 12 kg m/s
So, the momentum of the golf ball moving at 240 m/s is 12 kg m/s.
the attraction of a person's body toward earth is called weight. the reaction to this force is the earth's surface pushing against the person's body. the person's body pushing against earth's surface. the person's body pulling on the earth. none of these
This is due to Newton's third law of motion.
The reaction to the force of weight on a person's body is the Earth's surface pushing against the person's body. This is known as Newton's third law of motion, which states that for every action, there is an equal and opposite reaction. When a person stands on the ground, their weight is exerted on the Earth's surface, and the surface responds by exerting an equal and opposite force on the person's body. This force is commonly referred to as the normal force. It is important to note that the normal force is perpendicular to the surface and is not the same as the force of friction, which is parallel to the surface and opposes motion.To know more about motion visit:
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if all the mass of an electron were converted to electromagnetic energy, what would be the (a) energy of the photon, in joules and in million electron volts? (b) wavelength of the photon, in angstrom units?
a) Energy of the photon, in joules and in million electron volts is 8.1 x 10⁻¹⁴ Joule and 0.505 MV b) wavelength of the photon, in angstrom units is 0.0245 A.
The distance between two corresponding spots on the adjacent waves is the wavelength. Small, uncharged particles that move at the speed of light are called photons.
It is possible to make and destroy photons while maintaining momentum and energy. As a source emits EM waves, photons are produced, and when they come into contact with matter, they may be absorbed and have their energy transferred.
Mass = 9.1 x 10⁻³¹ kg
C = 3x10⁸ m/sec
a) Energy = mc²
= 9.1x10⁻³¹ x (3x10⁸)²
= 8.1 x 10⁻¹⁴ Joule
1joule = 6.24 x 10¹²
Energy E = 8.1 x 10⁻¹⁴ x 6.24x10¹²
E = 0.505 MV
b) E = h/λ
= 8.1x10⁻¹⁴
= 6.625 x 10⁻³⁴ x 3 x 10⁸/λ
λ = 2.45x10⁻¹² m
= 2.45x10⁻² A
= 0.0245 A
m = E/c²
= 1.3194x10⁸/(3x10⁸)²
= 0.1466 x 10⁻⁸ kg
m = 1.47 x 10⁻⁶ gram.
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Complete question:
If all the mass of an electron were converted to electromagnetic energy, what would be the (a) energy of the photon, in joules and in million electron volts? (b) wavelength of the photon, in angstrom units? 3.28. The thermal energy content of 1 U.S. gal (3.79 L) gasoline is 36.65 kW hours. To what weight of nuclear fuel, grams, does this amount of energy correspond?
what is the acceleration due to gravity on a 9.8 x 1026 kg planet that has a radius of 2.8 x 107 m?
The acceleration due to gravity on this planet would be 6.69 m[tex]s^{-2}[/tex]. This can be calculated using the equation: g = G * (M[tex]r^{-2}[/tex]).
What is acceleration?Acceleration is the rate at which an object's velocity changes over time. It is a vector quantity, which means it has a magnitude (or size) as well as a direction. It is usually expressed in m[tex]s^{-2}[/tex].
Steps for Calculating the Acceleration Due to Gravity on a Different Planet
Step 1: Identify the mass and radius of the planet.
Step 2: Calculate the acceleration due to gravity on the surface of that planet using the equation- g= GM/[tex]R^{2}[/tex], where G is the universal gravitational constant (6.67 x [tex]10^{-11}[/tex] [tex]m^{3}[/tex] [tex]kg^{-1}[/tex][tex]s^{-2}[/tex]), M is the mass of the planet (9.8 x [tex]10^{26}[/tex] kg), and r is the radius of the planet (2.8 x [tex]10^{7}[/tex] m).
g= (6.67408 * [tex]10^{-11}[/tex] N[tex]m^{2}[/tex] [tex]kg^{-2}[/tex]) * (9.8 * [tex]10^{26}[/tex] kg)/ (2.8 * [tex]10^{7}[/tex] m) = 6.69m[tex]s^{-2}[/tex].
The acceleration due to gravity will be in meters per second per second.
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A pilot was asked to drop food packets in a terrain. He must fly over the entire terrain
In order for the pilot to drop food packets over the entire terrain, he must fly in a specific pattern to ensure that no areas are missed.
One common pattern used for this type of operation is called the grid pattern. In the grid pattern, the terrain is divided into a grid of equal-sized squares. The pilot then flies over the terrain in a series of parallel lines, dropping food packets at regular intervals. Once the end of the terrain is reached, the pilot turns and flies back in the opposite direction, dropping packets at the same regular intervals. The distance between the parallel lines is determined by the size of the squares in the grid, and the regular intervals at which packets are dropped are determined by the desired coverage density. By flying in this pattern, the pilot can ensure that no areas of the terrain are missed, and that the food packets are distributed evenly throughout the entire area. This method is commonly used in agriculture and forestry applications, as well as in search and rescue operations.
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the ground at the top of the cliff is level, with a constant elevation of 25.0 mabove the cannon. under the conditions of part a, how far does the shell land past the edge of the cliff?
The shell lands 90.8 meters past the edge of the cliff when fired at 32.6 m/s and 43.0 degrees.
To tackle this issue, we can involve the conditions of movement for shot movement, which depict the movement of an article that is sent off up high and moves affected by gravity.
In the first place, we really want to break the underlying speed of the shell into its flat and vertical parts. The point of 43.0 degrees over the flat implies that the upward part of the speed is given by:
v_y = v * sin(43.0°)
Also, the even part of the speed is given by:
v_x = v * cos(43.0°)
where v is the underlying speed of the shell, which is given as 32.6 m/s in the issue articulation.
Presently, we can involve the condition for the even distance went by a shot:
x = v_x * t
where x is the flat distance went by the shell, and t is the time it takes for the shell to arrive on the ground. We can make the opportunity t by involving the condition for the upward distance went by a shot:
y = v_y * t - 0.5 * g * t^2
where y is the upward distance gone by the shell, g is the speed increase because of gravity (which is roughly 9.81 m/s^2 close to the outer layer of the Earth), and we can set y equivalent to the level of the bluff, 25.0 m.
Addressing for t, we get:
t = (v_y + sqrt(v_y^2 + 2 * g * y))/g
Subbing the qualities we have:
t = (v * sin(43.0°) + sqrt((v * sin(43.0°))^2 + 2 * 9.81 * 25.0))/9.81
t = 3.89 s (adjusted to two decimal spots)
Presently, we can find the even distance went by the shell:
x = v_x * t
x = 32.6 * cos(43.0°) * 3.89
x = 90.8 m (adjusted to two decimal spots)
Accordingly, the shell lands 90.8 meters past the edge of the bluff.
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The complete question is:
A cannon, located 60.0 m from the base of a vertical 25.0 m tall cliff, shoots a 15 kg shell at 43.0 ❝ above the horizontal toward the cliff.
v=32.6 m/s
The ground at the top of the cliff is level, with a constant elevation of 25.0 m above the cannon. Under the conditions of part A, how far does the shell land past the edge of the cliff?
what is the purpose of the rheostat in this experiment? 1) to limit the current in the circuit. 2) to overheat. 3) as an aid to adjusting the current in the circuit. 4) it is the resistor whose resistance is to going to be determined. group of answer choices 3 and 4 1 and 2 1 and 3 2 and 3 4 only
The purpose of the rheostat in this experiment is It limits the current in the circuit and as an aid to adjusting the current in the circuit. Option C.
A rheostat is defined as,
A variable resistor which is used for controlling the inflow of electric current either by accelerating or dropping the resistance.
The term rheostat was chased by the English scientist Sir Charles Wheatstone and is concluded from the Greek word “ rheos ” and “ statis ” which means current controlling device.
All electrical circuit has three fundamental components, and they are
The circuit's applied voltage
through the circuit current
the circuit's resistance offering
A rheostat is a variable resistor that's used to control the inflow of electrical current in a circuit. By conforming the resistance of the rheostat, it's possible to acclimate the quantum of current flowing through the circuit.
This can be useful in a variety of electrical trials and operations, similar as testing the current- voltage relationship of a circuit or regulating the quantum of power supplied to a cargo.
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The key difference between obsessions and compulsions involve repetitive... Behaviors. A person troubled by repetitive thoughts or actions is most likely
experiencing obsessive-compulsive disorder (OCD). Obsessions are persistent and unwanted thoughts, images, or impulses that are intrusive and cause anxiety or distress.
define compulsions ?
Compulsions are repetitive behaviors or mental acts that an individual feels compelled to perform in response to an obsession or according to certain rules or in a stereotyped fashion. They are typically aimed at reducing anxiety or distress or preventing a dreaded event, even though these behaviors or acts are often excessive or not realistically connected to the situation. Compulsions are a hallmark feature of obsessive-compulsive disorder (OCD) and can take various forms, such as cleaning, checking, counting, repeating, ordering, arranging, or mental acts like praying, repeating phrases silently, or mentally reviewing events.
experiencing obsessive-compulsive disorder (OCD). Obsessions are persistent and unwanted thoughts, images, or impulses that are intrusive and cause anxiety or distress. Compulsions are repetitive behaviors or mental acts that a person feels driven to perform in response to an obsession, or according to rigid rules, to reduce the anxiety caused by the obsession.
People with OCD may engage in compulsions in an attempt to neutralize or counteract their obsessive thoughts.
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What does a copper calorimeter can with mass 0.100 kg contain?
In thermal equilibrium at atmospheric pressure, a copper calorimeter can with mass 0.100 holds 0.160 kg of water and 0.018 kg of ice.
The heat of chemical reactions or physical changes, as well as their heat capacity, are measured using copper callipers. For effective insulation, felt jacket is given between the vessels as well as at the bottom of the outer vessel. two holes in the bakelite cover that it is equipped with. The thermometer will fit in one of the holes, and the stirrer will fit in the other. With washer, rubber stopper, and stirrer but no thermometer.
because copper has a low specific heat capacity and is an excellent heat conductor. It is the best substance for use in calorimeter construction. Due to its low specific heat capacity, it easily absorbs heat to attain the equilibrium temperature.
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Question 3d
(d) The pressure inside an aircraft is usually kept at around 80 kPa.
The doors to the aircraft have an area of around 2.0 m².
Calculate the resultant force acting on the door at an altitude of 10 km.
[3 marks]
The resultant force acting on the door at an altitude of 10 km is 115.2 kilonewtons (kN).
What is the resultant force acting on the door?The pressure inside an aircraft is kept at 80 kilopascals (kPa) and the doors have an area of 2 square meters (m²).
The atmospheric pressure at an altitude of 10 kilometers (km) is much lower. To calculate the difference in pressure, we need to know the atmospheric pressure at that altitude.
At an altitude of 10 km, the atmospheric pressure is around 22.4 kPa, which is much lower than the pressure inside the aircraft.
The difference in pressure can be calculated as 80 kPa - 22.4 kPa = 57.6 kPa.
The force acting on the door can be calculated using the equation:
Force = Pressure x Area
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a 1500-kg car accelerates from rest to 25 m/s in 7.0 s. what is the average power delivered by the engine? (1 hp
As per the question the average power delivered by the engine is 67,500 Watts or 90 HP.
What is average power?Average power is the amount of energy used on average or the amount of labor completed on average per unit of time. The average power is only used to indicate power in certain circumstances. For instance, the average power likewise rises as cumulative work is increased. The average power declines, however, if there is no change in the amount of labor performed over a continuously growing period of time.
Therefore, work that can be completed in a short amount of time requires more average power, whereas work that must be done over an extended period of time requires less average power. A thorough definition of average power is available.
The SI abbreviation for average power is "w," where "w" stands for Joules per second.
According to question:
Work done = force * distance = m*a*d and power = energy/time
The vo=0 and vf = 25 m/s and t=7 sec. This gives...
3.6 m/s^2 as acceleration and d=87.5 meters and thus F=ma= 5400 N.
Energy = 5400*87.5 = 4.7E5 Joules (2 sig. figs) and Power = 67,500 Watts or 90 HP.
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42-kg gionny is trying to take off a lug nut off his tire using a tire-iron. what is the torque he can apply, in newton-meters, if he puts his whole body-weight on the tire-iron 0.31-m from the lug nut?
Gionny can apply a torque of approximately 127.63 N·m to the lug nut.
To calculate the torque that Gionny can apply to the lug nut, we need to use the formula:
Torque = Force x Distance x sin(θ)
where θ is the angle between the force vector and the lever arm (the distance from the axis of rotation to the point where the force is applied), and sin(θ) is the sine of that angle.
Assuming that Gionny's weight is the force he applies on the tire-iron, and that he can exert a force equal to his weight, we can calculate the force as:
Force = mass x gravity
where mass is Gionny's mass and gravity is the acceleration due to gravity, which is approximately 9.81 m/s^2. Therefore, the force Gionny can apply is:
Force = 42 kg x 9.81 m/s^2 = 411.42 N
The distance from the lug nut to the point where Gionny applies the force is given as 0.31 m. So the torque he can apply is:
Torque = Force x Distance x sin(θ) = 411.42 N x 0.31 m x sin(90°) = 127.63 N·m
Therefore, Gionny can apply a torque of approximately 127.63 N·m to the lug nut.
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What is the sum of kinetic and potential energy?
Answer:
Kinetic energy plus potential energy equals total mechanical energy. The equation for this is KE + PE = Total Mechanical Energy, where KE is kinetic energy, PE is potential energy, and Total Mechanical Energy is the total amount of energy present.
what is assumption we are trying to validate in part a of the calorimetry experiment? styrofoam cups are equivalent to a 150 ml beaker. styrofoam cups isolate the system and surroundings from the rest of the universe. styrofoam cups keep our coffee hot. styrofoam cups open the system and surroundings to the rest of the universe. styrofoam cups support heat flow from the system to the surroundings.
The assumption we are trying to validate in part a of the calorimetry experiment:
No heat is lost to the terrain- that is, energy exchange only happens between the object of interest and water. No heat is lost to the surroundings.In connection to Assumption 1, there's only a veritably negligible( if any) transfer of energy to the walls of the vessel( this is the energy transferred to the calorimeter itself, which is still part of the system. This supposition is necessary because measures are made to water-- see Assumption 1).The heat measured is also attributed to a complete response. Hence, it's always assumed that the response is 100 complete- i.e. 100 Yield, which noway happens in real life.For dilute results, the supposition is that the viscosity is always equal to that of water(1.00 g/ ml) with a specific heat capacity of4.18 joule per gram per degree Celcius.In connection to Assumption 3, it's also assumed that in whatever chemical response is being studied, no side response is occuring, and that no contamination is present in the system( which is of course a necessity, and the researcher should make sure that there's as little contamination as possible).Learn more about calorimetry experiment:
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Complete question:
What is/are the purpose(s) of the Styrofoam cups in this experiment? What are some assumptions that we make during this experiment in order to calculate the enthalpy of formation of ammonium sulfate? Calculate the mass of the solution used if a student added 35.369 grams of ammonium sulfate to enough water to give 80.0 mL of solution. The density of the solution was 1.00 g/mL. How many significant figures should your answer have? For the reaction (i.e., Part I of this experiment, calculate the number of moles of the limiting reactant when 25.0 mL of 2.085 M H_2SO_4 (aq) it mixed with 50.0 mL of 1.873 M NH_3(aq) using the molar ratio of the reaction. Show your work with the correct units and number of significant figures.
runner 1 has a step length of 1.50 m and a stride frequency of 76 strides/min. what is her running speed (m/s)?
The runner's speed is 1.91 m/s. The speed of a runner can be calculated by multiplying their step length (the distance covered by one step) by their stride frequency (the number of steps taken per unit time).
We can calculate the runner's speed using the formula:
speed = step length x stride frequency
Plugging in the given values:
speed = 1.50 m/step x 76 steps/min
We first need to convert the units of stride frequency to strides/second:
76 steps/min x 1 min/60 s = 1.27 strides/s
Now, we can substitute this value into the formula:
speed = 1.50 m/step x 1.27 strides/s
Simplifying the expression:
speed = 1.91 m/s
Therefore, the runner's speed is 1.91 m/s.
Step length can be influenced by a number of factors, including a runner's height, leg length, and running form. Stride frequency, on the other hand, is largely determined by a runner's running speed. As a runner increases their speed, their stride frequency tends to increase as well. However, there is a limit to how fast a runner can move their legs, and at a certain point, increases in speed are achieved through increases in step length rather than stride frequency.
Measuring step length and stride frequency can be useful for runners who want to optimize their running form and efficiency. By increasing their step length or stride frequency, runners can increase their speed without necessarily increasing their energy expenditure. However, it's important to note that there is no "ideal" step length or stride frequency that works for everyone. Runners should experiment with different stride lengths and frequencies to find what feels most comfortable and efficient for them.
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A pump is used to spray water from a pool, determine
the maximum power of the pump. If 40 litres of water
water from a pool, determine
is pumped per minute and the spray reaches the maximun
height of 60m (assume that I litre of water has a mass
of 1 kg and that g = 10ms ²²).
The maximum power of the pump is 24,000 W.
How did we get the value?To determine the maximum power of the pump, we need to calculate the work done by the pump in lifting the water to a height of 60m.
First, we need to find the weight of the water that is pumped per minute:
40 litres of water * 1 kg/litre = 40 kg
Next, we can calculate the work done by the pump using the formula for work done by a force:
W = F * d
Where W is the work done, F is the force applied and d is the distance moved.
Since the weight of the water is the force acting on it, we can use that in the above formula:
W = 40 kg * 10 m/s^2 * 60 m = 24,000 J/minute
Finally, we can convert the work done per minute to power, using the formula:
P = W / t
Where P is the power and t is the time taken.
Since we know that 40 litres of water are pumped in 1 minute, we can use that as t:
P = 24,000 J/minute / 1 minute = 24,000 W
So, the maximum power of the pump is 24,000 W.
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if the side of earth that faces the moon experiences a tidal bulge (high tide), then the opposite side of earth will experience a .
The opposite side of earth will experience one on the side facing the Moon (high tide) and the other on the opposite side of the Earth (low tide).
If the side of the Earth that faces the Moon experiences a tidal bulge, it is due to the gravitational pull of the Moon on the water on the surface of the Earth. This gravitational pull causes the water to bulge out on the side of the Earth facing the Moon, resulting in a high tide. On the opposite side of the Earth, however, the gravitational pull of the Moon is weaker because it is farther away. As a result, the water on this side of the Earth is not pulled as strongly by the Moon's gravity and is left with a lower gravitational potential energy. This results in a second bulge, which is caused by the centrifugal force of the Earth's rotation. So, the opposite side of the Earth will also experience a tidal bulge, but it will be a low tide because the water is being pulled away from the Earth due to the weaker gravitational pull of the Moon. Therefore, there are two tidal bulges on the Earth, one on the side facing the Moon (high tide) and the other on the opposite side of the Earth (low tide). The areas in between these two bulges experience moderate tides. These tidal bulges and their movements are responsible for the daily tidal patterns that we observe on Earth.
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how does density play a part in determining how unlike air masses react
Identification of compounds can benefit from density. It is also a useful feature since it connects (or acts as a conversion factor between) a substance's mass and volume. Volume and mass are extended (or extrinsic) qualities of matter that are quantity dependent.
What is the density playing a part in air masses detection?The force of an air mass acting on the earth's surface is known as atmospheric pressure. Remember that wind currents are created when the densities of two separate air masses differ.
Our wind currents are driven by the atmospheric pressure density, and denser air exerts a higher pressure than less dense air. Compared to the cold and dry air, the warm and humid air is less dense. The less dense air will then float on top of the thicker air in certain regions.
Therefore, Warm air masses rise while cold air masses descend because they are less dense.
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