The balloon will bounce a highest when two balls of equal weight are placed from the same location as a result of its greatest elasticity. The rubber ball is squashed or squeezed when it strikes the ground.
Explain what elasticity is.Elasticity is the capacity of a material body to regain its original dimensions and shape after being deformed by external forces. This capability is referred to as elastic behavior (or response) in a body. Hoare's rule.
What are some examples of elasticity?When anything is stretched or squeezed, it can regain its original shape thanks to its elastic properties. A rubber, for instance, can quickly restore its shape after being stretched out significantly.
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einstein contradicted classical galilean relativity when he proposed that the speed of light in a vacuum.
a. true
b. false
A) True. Einstein contradicted classical Galilean relativity by proposing Theory of Special Relativity.
Einstein contradicted classical Galilean relativity when he proposed that the speed of light in a vacuum is constant and independent of the motion of the observer. This idea, known as the theory of special relativity, was first published by Einstein in 1905 and fundamentally changed our understanding of space and time. According to classical Galilean relativity, the laws of physics should be the same for all observers moving at a constant velocity relative to one another. However, Einstein's theory of special relativity showed that this is not the case when it comes to the speed of light.
In special relativity, the laws of physics are the same for all observers in uniform motion relative to one another, but the speed of light is always the same for all observers. This means that the speed of light is not affected by the motion of the source or the observer, and is the same for all observers in any inertial frame of reference. This contradicts the classical Galilean relativity, where the speed of light was considered to be relative to the observer, and it was thought that the laws of physics should be the same for all observers in uniform motion relative to one another.
In summary, Einstein's theory of special relativity proposed that the speed of light in a vacuum is constant and independent of the motion of the observer, which contradicts classical Galilean relativity and fundamentally changed our understanding of space and time.
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which source of power was introduced in the late 1800s? a. coal b. electricity c. animal d. wood
Out of all the choices that state sources of power, electricity was the one that was first developed in the late 1800s.
Electricity as a source of power was introduced in the late 1800s.
Sources of power include fossil fuels (coal, oil, natural gas), nuclear power, hydroelectric power, solar power, wind power, geothermal energy, and biomass energy. Renewable sources are those that are replenished naturally and non-renewable sources are those that are finite and will eventually be depleted.
The invention of the dynamo, a machine that generates electricity by converting mechanical energy into electrical energy, in the 1870s was a significant step in the development of the electrical industry.
The first commercial power station, Pearl Street Station, opened in New York City in 1882 and produced direct current (DC) electricity. The invention of the alternating current (AC) system in the late 1880s by Nikola Tesla and George Westinghouse made it possible to transmit electricity over long distances, which further expanded the use of electricity as a source of power. The use of electricity as a source of power revolutionized industry, transportation, and domestic life. It replaced traditional sources of energy such as coal, wood, and animal power, and led to the development of new technologies and industries, including the electric motor, electric lighting, and the telephone.
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which of the following statements is correct about force f, kinetic energy k and momentum p of an object of mass m a) force is the rate at which momentum changes b) kinetic energy \displaystyle k
The following statements is correct about force f, kinetic energy k and momentum p of an object of mass m are (a) Force is the rate at which momentum changes.
What is momentum?Momentum is a concept in physics that describes the motion of an object. It is determined by the mass and velocity of an object, and is represented by the formula: momentum = mass x velocity.
Momentum plays an important role in physics, as it is the conserved quantity of motion for a system. It is a vector quantity, which means it has both a magnitude and a direction. In a collision, momentum is conserved, meaning that the total momentum of the system remains the same before and after the collision.
Momentum is also important in sports, as it can be used to understand how to maximize or minimize the speed and direction of a ball.
We know that
Force = m × a
m = f/a
And
Momentum = m × v
m = p/v
Also
= 1/2mv²
m = 2K.E./v²
Now taking M into account for all we can say that
[tex]$ \frac{\text{Force}}{\text{Acceleration}} = \frac{\text{Momentum}}{\text{velocity}} = \frac{2 \ \text{Kinetic Energy}}{\text{velocity}^2}[/tex]
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which of the following sources of energy transforms kinetic energy to electricity without using heat energy?
Sources include renewable energy sources such as the sun, wind, water, and geothermal heat.
In which energy sources kinetic energy is converted into electrical energy?A sequence of blades installed on a rotor shaft in a turbine generator are pushed by a flowing fluid, such as air, water, steam, combustion gases, or water. A generator's rotor shaft revolves or spins due to the fluid's force on the blades.
In turn, the generator transforms the rotor's mechanical (kinetic) energy into electrical energy.A machine that transforms a form of energy into electricity is called an electric generator.
Electricity generators come in a variety of designs. According to Michael Faraday's 1831 discovery that rotating a magnet inside a coil of wire causes (induces) an electric current to flow in the wire, the majority of the world's power is produced by generators. On the basis of this relationship, he created the first electrical generator known as a Faraday disc.
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Use the graph to complete the sentences about two runners.
Runner (blank)
is faster than Runner (blank)
Runner (blank)
has a head start.
The sentences can be completed as follows: Runner A is is faster than Runner B. Runner B has a head start.
What is position -time graph ?The position v/s time graph is very helpful to determine the position of an object with respect to time. The speed of the moving object can be easily calculated from the graph. If the graph is a straight line, then its slope be the speed.
In the given graph, the change in distance with change in time for runner A is greater than that of runner B. Therefore, the speed of runner A is greater than B.
The starting position of B is ahead of A and it is not from origin. . Hence, it can be said that, runner B has a head start.
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the drawing at the right represents a toy airplane moving in a horizontal circle at constant speed, i.e., it is moving with uniform circular motion. the airplane is suspended from a string that sweeps out a cone as the plane flies around. a system moving in this fashion is called a conical pendulum. in this lab newton's laws will be applied to the conical pendulum to determine the theoretical speed of the pig compared to the measured speed. then determine the tension in the support string.
A conical pendulum is a ball twirled on a string that makes an angle with the vertical. Only the horizontal component of the tension contributes to the centripetal force keeping the ball in a circle. Forces in the vertical direction are balanced.
What is meant by Force?
The push or pull on a mass-containing item changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.The net force acting on an object is equal to the rate at which its momentum varies over time, according to Newton's second law in its original formulation. This law suggests that an object's acceleration is directly proportional to the net force acting on it, is in the direction of the net force, and is inversely proportional to the mass of the object if the object's mass is constant.To learn more about Force refer to
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An astronaut drops a golf ball that is initially at rest from a cliff on the surface of the moon. The ball falls freely under the influence of gravity. Which one of the following statements is true concerning the ball as it falls? Neglect any frictional effects.
A. The ball will gain an equal amount of kinetic energy during each second. B. The ball will gain an equal amount of momentum during each second. C. The ball will gain twice the amount of speed for each meter through which it falls. D. The ball will gain an equal amount of momentum during each meter through which it falls.
The ball will gain an equal amount of momentum during each second. if The ball falls freely under the influence of gravity.
Why gravity is a force?However, in the broader sense, gravity is indeed a force because it describes the resulting interaction between two masses. Gravitational effects are fundamentally caused by the warping of spacetime and the motion of objects through the warped spacetime. However, the end result is as if a force was applied.
Who discovered gravity?Sir Isaac Newton Far more than just discovering the laws of gravity, Sir Isaac Newton was also responsible for working out many of the principles of visible light and the laws of motion, and contributing to calculus.
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Four point charges, (Q = +7.1 μC and q = +1.4 μC), are arranged such that each is at a corner of a square. The sides of the square are x = 0.19 m. What is the magnitude of the net force (in newtons) on the sphere of charge q?
(round to nearest hundredth)
The net magnitude of electric force on the sphere of charge q is 4.74 Newton.
What is electric force?Electric force is the attracting or repulsive interaction between any two charged things. Similar to any force, Newton's laws of motion describe how it affects the target body and how it does so.
Q = +7.1 μC = 7.1 × 10⁻⁶ C
q = +1.4 μC = 1.4 × 10⁻⁶ C
The net magnitude of electric force on the sphere of charge q is
= 9 × 10⁹ × 7.1 × 10⁻⁶ × 1.4 × 10⁻⁶ { √2/(0.19)² + 1/(0.19 × √2)² Newton
= 4.74 Newton.
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Exercise 9 The two blocks (A) and (B) of respective masses mA = 2 kg and mg = 4 kg, that are shown in the adjacent figure are attached to each other by means of a string that passes over a massless pulley. Th coefficient of friction between (A) and (B) is ₁ = 0.2 and that between (B) and the ground is = 0.1. Block B is pulled by a force that result in an acceleration of block B of magnitude a = 0.5 m/s². Determine during the motion of the two blocks the tension of the string and the value of F.
The force acting on an object is defined by Newton's second law as being equal to the object's mass (m) times its acceleration (a).
Explain about the Newton's second law of motion.Block B's acceleration times its mass gives block A's force, which is equivalent to that force.
1. A string that travels through a massless pulley connects the two blocks, A and B.
2. There is 0.1 coefficient of friction between B and the ground, and 1 = 0.2 between A and B.
Block B experiences an acceleration of a = 0.5 m/s2 as a result of being dragged by a force.
4. The Newton's second law of motion is used to determine the string's tension.
It specifies that the sum of the forces exerted on a body must equal the mass times the acceleration of the body.
Thus, mg = 4 kg represents the string's stress.
5. To determine the value of F, we utilize the same equation but swap out block B's acceleration for block A's mass and vice versa.
This results in F = ma = 2kg x 0.5 m/s2 = 1 N.
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earth and space chapter 19 section 1 review answer key why is atmosphiric pressure generally lower beneath a mass of warm
Atmospheric pressure is generally lower under a warm air mass than under a cold air mass because molecules move apart when heated. Fewer particles apply pressure to specific areas.
Atmospheric Pressure:
Atmospheric pressure, also called atmospheric pressure (after barometer), is the pressure in the Earth's atmosphere. Standard atmosphere (symbol: atm) is a unit of pressure defined as 101,325 Pa (1,013.25 hPa) equal to 1013.25 millibar 760 mm Hg, 29.9212 inches Hg, or 14.696 psi. The atm unit roughly corresponds to the Earth's mean atmospheric pressure at sea level. So the atmospheric pressure on Earth at sea level is about 1 atmosphere.
In most cases atmospheric pressure is approximated by the hydrostatic pressure caused by the weight of the air above the point of measurement. Air pressure decreases with altitude because the air mass above is less as altitude increases. Since the atmosphere is thin relative to the Earth's radius (especially the dense atmospheric layers at low altitudes), the Earth's gravitational acceleration as a function of altitude can be approximated as constant and contributes little to this decline. Pressure is measured as force per unit area in SI units Pascal (1 Pascal = 1 Newton per square meter, 1 N/m2). A column of air with a cross-sectional area of 1 square centimeter (cm2) measured from the mean (mean) sea level to the top of the Earth's atmosphere has an average mass of about 1.03 kilograms and exerts a force. Or a "weight" of about 10.1 Newtons, a pressure of 10.1 N/cm2 or 101 kN/m2 (101 kilopascals, kPa).
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This rock shows evidence of
physical weathering as a result of
acid, wind, or ice.
Question: Question The height of a ball, in meters, dropped from a 409-meter tall building is given by the function s(t) = -5t2 + 409. Find the average velocity of the ball over the intervals [1.999, 2.0) and [2.0, 2.001]. Use this information to approximate the instantaneous velocity of the ball at time t = 2.0.
At time t = 2, the instantaneous velocity is -20 m/s.
How can an estimate of instantaneous velocity be made?Therefore, the average velocity at a point that is one increment smaller and one increment larger than the point can be used to estimate the instantaneous velocity at that point. Then, you can get a better estimate of the instantaneous velocity at that point by finding the average of those two average velocities.
The SI unit of measure is m/s. Because the position function is given, we can obtain the velocity by determining [tex]\dfrac{ds}{dt}[/tex], from which we can derive the instantaneous velocity.
S (2) = -5(2)2 + 409
= 389 S (2-01)
= -5(2.01)2+409
= 388-7995
Average velocity on [a, b]
Vavg (b) - (a) b-a on [1.999,2]
Vavg = S(2)-SU.999) 2-1999 389-389-019995
0.001 =-0.019995
0.001 -19.995
= -20
As t = 2, Vavg = -20,
instantaneous velocity = -20 m/s
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the bolt goes into the roof along the n-axis. any force perpendicular to the n-axis (that is, any force along the line of the roof n) tends to shear off the bolt. p is 150 lbs. using vector methods, find the component of p perpendicular to the roof (along the n axis).
The bolt goes into the roof along the n-axis. any force perpendicular to the n-axis X-component = 39.45 N, Y-component = 43.93 N,
A force is an effect with the capacity to alter an object's motion, as defined by physics. When an object with mass is moving at a faster rate, such as when it is moving away from rest, this acceleration can be induced by a force. (Previous P). Two simple methods of displaying force are pushing or pulling. A force is considered a vector quantity since it has both magnitude and direction. The SI newton unit is used to calculate it (N). The symbol for force is F. According to Newton's second law in its original form, the net force acting on an object is equal to the rate at which its momentum changes over time. if the item's mass remains constant
Z-component = 67.92 N
[tex](cos(64))^{2}[/tex] +[tex](cos(B))^2[/tex]+ [tex](cos(41))^2[/tex] = 1
[tex](Cos(B))^2[/tex]= 0.238
Cos(B) = 0.488
B = arccos (0.488) = 60.78 degree
Angle with positive y axis, B = 180 - 60.78 = 119.22 degree
A)
X-component = 90cos(64) = 39.45 N
B)
Y-component = 90 cos(119.22) = 43.93 N
C)
Z-component = 90 cos(41) = 67.92 N
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What is a satellite.
Answer:
According to NASA, a satellite is as follows:
A moon, planet, or object that revolves around a planet or star is called a satellite (Mae, 2015). For instance, the fact that Earth orbits the sun makes it a satellite. The moon is a satellite as well because it revolves around Earth. The term "satellite" typically refers to a device that is launched into space and orbits the Earth or another celestial body.
Explanation:
Answer:
Satellite is any heavenly body or space object that move around a planet.
Explanation:
There are two types of satellite
namely: Natural satellite and artificial satellite.
National satellite consists of the moon.
Artificial satellite consists of communication satellite, scientific satellite, weather satellite, Navigation satellite and Military satellite.
1
A
B
C
D
According to the text, what is radiation?
energy given off by radioactive materials
energy given off by invisible atomic particles
energy given off by the things around us
energy given off by nuclear power plants
Radiation is energy that comes from a source and travels through space at the speed of light.
What type of energy is radiation energy?This energy has wave-like qualities and is accompanied by an electric field and a magnetic field. Radiation may also be referred to as electromagnetic waves. In nature, electromagnetic radiation occurs in a variety of forms. One illustration is visible light.
The most energetic types of radiation include gamma rays, x-rays, and ultraviolet light. There is a lot of energy in X-rays and gamma rays. They have the ability to take electrons away from atoms when they engage with them, ionising the atom. Protons and neutrons are mixed in unstable ways in radioactive atoms.
An unstable atom will release energy on its own to move into a more stable state, which is radioactivity. Ionizing The energy that a radioactive atom emits is known as radiation. The radioactive atoms of the same element with varying numbers are known as isotopes.
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Jack runs up the stairs, elevating his 71.7 kg body a vertical distance of 2.86 meters in a time of 2.19 seconds. Determine the power (in Watts) done by the stairs on Jack's body.
Jack runs up the stairs, elevating his 71.7 kg body a vertical distance of 2.86 meters in a time of 2.19 seconds. The power (in Watts) done by the stairs on Jack's body is 780.5 watts.
To determine the power done by the stairs on Jack's body, we can use the formula:
= Power
= Work / Time
where Work is the amount of energy exerted on the object and Time is the duration of the work.
First, we need to calculate the work done on Jack's body by the stairs. We can use the formula:
= Work
= Force x Distance
where Force is the force exerted on the object and Distance is the distance over which the force is exerted. Since the force exerted on Jack's body is equal to his weight, which is the force of gravity acting on him, we can calculate the work done on him as follows:
= Work
= (71.7 kg) (9.8 m/s^2) (2.86 m)
Next, we can divide the work by the time to find the power:
Power = Work / Time
Power = (71.7 kg) (9.8 m/s^2) (2.86 m) / 2.19 seconds
Power = 2.86 * 9.8 * 71.7 / 2.19
Power = 1709.5 / 2.19
Power = 780.5 watts
So the power done by the stairs on Jack's body is approximately 780.5 watts.
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part 1.d.what do these observations suggest about the depth to which heat from the sun can penetrate the earth?
The Sun can not penetrate too far into the Earth.
The air surrounding us consists of different gases and also some particles. This layer of air, known as the Earth’s atmosphere is retained by gravity. The two main components are nitrogen (78%) and oxygen (21%). Besides containing the oxygen human beings and other organisms need to live, the atmosphere has a number of other “features” such as absorption of ultraviolet radiation from the Sun by the ozone layer and heat retention known as the greenhouse effect. Over the span of 11 years, the Sun’s activity waxes and wanes as magnetic field lines that are wound and tangled inside the Sun periodically break through to the surface. These breakthroughs produce sunspots that travel together across the face of the Sun. The Sun contains 99.8 percent of the mass in our solar system. Its gravitational pull is what keeps everything here, from tiny Mercury to the gas giants to the Oort Cloud, 186 billion miles away. But even though the Sun has such a powerful pull, it's surprisingly hard to actually go to the Sun: It takes 55 times more energy to go to the Sun than it does to go to Mars.Our planet is traveling very fast — about 67,000 miles per hour — almost entirely sideways relative to the Sun. The only way to get to the Sun is to cancel that sideways motion.To know more about sun visit:
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When we say object is in equilibrium condition?
An object is said to be in equilibrium condition when the net force acting on it is zero, meaning that the sum of all forces acting on the object is equal to zero. This means that the object is either at rest or moving with a constant velocity, and there is no acceleration. In other words, an object in equilibrium is not changing its speed or direction of motion. Additionally, an object in equilibrium is also not rotating, meaning the net torque acting on it is also zero.
It's important to note that an object can be in equilibrium even if it is in motion. The key is that the net force on the object is zero.
A metal ion buffer used for calibrating an ion-selective electrode is prepared using 0.0397 M of metal-ligand complex (ML) and 0.0259 M of the free ligand (L) The formation constant, Kf; for ML is 5.78 X 10^7 Calculate the concentration of free metal ion (M) in the buffer; [M]
The concentration of free metal ion (M) in the buffer is 3.
What is the concentration of free metal ion (M) ?Thus, this metal ion complex is formed by the equilibrium of the metal and the ligand. The formula should be k f, here, k f,
concentration of the middle ligon, complex, divided by the concentration of the metal concentration of ion, multiplied by 5.78 to get the 7 medallion complex, or 0397.
The metal concentration is unknown, but the lin is. 0259 and calculating the metal concentration. Here, the result is 3, as seen in Figures 2.65 times 10 to the minus 8, and the units would be molar.
The concentration of free metal ion (M) in the buffer is 3.
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which of the following evaluation tools for documenting direct observations is the least subjective?
Least subjective evaluation tool for documenting direct observation is anecdotal record.
What do you mean by evaluation tool?There are several evaluation tools that can be used to assess the quality and effectiveness of documentation in physics. Some examples include:
Peer review: This involves having other experts in the field review the documentation and provide feedback on its accuracy, clarity, and completeness.
User testing: This involves having users test the documentation and provide feedback on its usability and effectiveness in helping them understand and use the information.
Metrics: This involves measuring various aspects of the documentation, such as readability, accuracy, and completeness, and using these metrics to evaluate its quality.
Surveys: Surveys can be used to gather feedback from users on the documentation, including their satisfaction with the information provided and how well it met their needs.
Heuristic evaluation: This is an evaluation method which uses a set of predetermined heuristics or guidelines to evaluate the usability and user experience of a product or service.
Cognitive walkthrough: This is an evaluation method in which a user is observed as they use the documentation, and the evaluator looks for any issues that might make it difficult for them to understand and use the information.
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a 80.9-kg boy and a 65.7-kg girl, both wearing skates face each other at rest on a skating rink. the boy pushes the girl, sending her to the left with a velocity of -2.65 m/s. neglecting friction, determine the subsequent velocity of the boy to the right.
The boy will move to the right with a velocity of -2.16 m/s after pushing the girl to the left with a velocity of -2.65 m/s.
How to calculate the subsequent velocity ?Newton's Third Law of Motion
Using the conservation of momentum, the velocity of the boy to the right is calculated as follows:
Boy's initial momentum = 0
Girl's initial momentum = (65.7 kg)(-2.65 m/s) = -174.34 kgm/s
Total initial momentum = -174.34 kgm/s
Boy's final momentum = (80.9 kg)(V)
V = (174.34 kgm/s) / (80.9 kg)
V = 2.16 m/s (to the right)
This is due to Newton's Third Law of Motion, which states that for every action there is an equal and opposite reaction.
The girl has a mass of 65.7 kg and a velocity of -2.65 m/s. Using the equation for momentum, the momentum of the girl can be calculated as follows:
Momentum = Mass x Velocity
Momentum of girl = 65.7 kg x -2.65 m/s = -174.25 kg m/s
As the momentum of the girl and the boy must be equal and opposite, the momentum of the boy can be calculated as:
Momentum of boy = -174.25 kg m/s
Using the same equation for momentum, the velocity of the boy can be calculated as follows:
Velocity of boy = Momentum/Mass
Velocity of boy = -174.25 kg m/s/80.9 kg
Velocity of boy = -2.16 m/s
Therefore, the boy will move to the right with a velocity of -2.16 m/s after pushing the girl to the left with a velocity of -2.65 m/s.
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two skaters are initially at rest next to each other on frictionless ice. skater a pushes on skater b. if skater a has greater mass than skater b, which of the following correctly relates the magnitudes of their momentums p and their kinetic energies k after the push?
Using Newton's Third law both the skaters will experience equal and opposite force. And hence equal impulse i.e momentum of both the skaters will be same. and Kinetic energy of skater B is more than skaterA
[tex]P_{a} =P_{b}[/tex]
we know that
[tex]KE=\frac{P^{2} }{2m}[/tex]
As given [tex]m_{a} > m_{b}[/tex]
[tex]K_{B} > K_{A}[/tex]
Kinetic energy of skaterB is more than skaterA
A push or a pull that an object experiences as a result of interacting with another item is known as a force. Interactions result in forces! As mentioned, action-at-a-distance interactions produce and other forces (gravitational, electrical, and magnetic forces). Newton proposed that anytime objects A and B come into contact, forces are applied to one another. When you sit in a chair, you apply a downward force to the chair, and the chair responds by applying an upward force to your body. This contact creates two forces: one force on the chair and one force on your body. The third law of motion of Newton deals with these two forces, which are referred to as action and reaction forces.
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When the ball is halfway to the ground (at 1/2 h), is its kinetic energy more than, less than, or exactly equal to half of its maximum kinetic energy? Explain
It is common knowledge that half of the ball's potential energy is converted to kinetic energy because it fell halfway through.
Let's take an example to understand the concept clearly.
Suppose a 16 kg ball is dropped from 10 m. We need to determine the kinetic energy when the ball reaches half the ground.
Note: At height of 10 cm the ball has a certain potential energy.
As GPE = m.g.h
Similarly, so is the potential energy of the sphere
GPE = 16 . 9.81. 10
GPE = 1569.6 J
On the way, the potential energy of the sphere when the altitude changes
GPE = 16 . 9.81. 5
GPE = 784.8 J
By the law of conservation of energy, the energy is It will not destroy or disappear. This converts the ball's lost potential energy into another form of energy. Here the lost potential energy of the sphere is converted into kinetic energy of the sphere.
Therefore the kinetic energy of the ball is equal to the potential energy of the ball at minus the potential energy of the ball at his.
i.e. 1569.6 - 784.8 = 784.8
It is common knowledge that half of the ball's potential energy is converted to kinetic energy because it fell halfway. When the ball hits the ground, i.e., at h = 0m all of the ball's potential energy is converted to kinetic energy and finally to another form of energy.
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The density of a person's blood proteins is about 1.2 g/cm3. Express the density in kilograms per cubic meter.
Answer:
1200 kg/m³
Explanation:
This is simply 1.2g/cm³ × 1000 which further gives 1200 kg/m³
FILL IN THE BLANK a mass is undergoing simple harmonic motion. when its displacement is 0, it is at its equilibrium position. at that moment, its speed is _________ and its acceleration is _________ .
A mass is undergoing simple harmonic motion. when its displacement is 0, it is at its equilibrium position. at that moment, its speed is maximum and its acceleration is 0 .
The rule of conservation of energy can be used to calculate the mass's speed in simple harmonic motion. In actuality, the kinetic energy and elastic potential energy make up the entire mechanical energy of the mass-spring system:
[tex]E=K+U=\frac{1}{2}mv^{2} +\frac{1}{2}kv^{2}[/tex]
where
The mass is m.
The speed is v.
The spring constant is k.
The displacement is x.
As we can see, the term representing the kinetic energy is at its highest when the displacement is zero (x=0), and consequently, v (the speed) is at its maximum as well.
Hook's law states that the acceleration of a mass in simple harmonic motion is inversely proportional to the restoring force exerted on the mass.
[tex]a\:\alpha\: F=-kx[/tex]
where
The spring constant is k.
The displacement is x.
the net when x = 0, F = 0,
hence there is no net force on the mass. As a result, this also implies that the mass's acceleration is zero: a = 0.
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A particle of charge +q is released from rest at position B, which is a distance 2d from the center of a fixed nonconducting sphere that has a charge of -Q distributed uniformly throughout its volume, as shown in the figure above. When the particle reaches position A, which is a distance d from the center of the charged sphere, its kinetic energy is K0 . The same particle is now released from rest at position C, which is a distance 4d from the center of the nonconducting sphere. The kinetic energy of the particle when it again reaches position A is
The kinetic energy of the particle when it reaches position A will be K0 * (2d/4d)^2 = K0/4 , when the particle is released at position C.
What is the the kinetic energy of the particle when it reaches position A?The particle at position B is attracted to the negatively charged sphere, and as it gets closer to the sphere (as it moves towards position A), it gains kinetic energy.The same particle, released at position C, is initially farther away from the negatively charged sphere, so it has less potential energy to begin with.As the particle moves towards position A, it loses kinetic energy due to the force of attraction to the negatively charged sphere.So the kinetic energy of the particle when it reaches position A will be less when it is released from position C compared to when it is released from position B.The kinetic energy at position A is inversely proportional to the square of the distance between the point of release and position A .So the kinetic energy of the particle when it reaches position A will be K0 * (2d/4d)^2 = K0/4 , when the particle is released at position C.To learn more about particles refer:
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Summarise Specific Heat Capacity in 10 sentences
using the data presented in the accompanying pressure-versus-volume graph, estimate the magnitude of the work done when the system changes from a to b to c along the path shown. (b) determine whether the work is done by the system or on the system and, hence, whether the work is positive or negative.
The work done by the system along the path from a to b to c is zero and it's not positive or negative.
What is the work done by system ?The work done by a system can be determined by the area enclosed by the system's pressure-volume graph.The area enclosed by the path from a to b to c represents the work done by the system.In this case, the path from a to b to c is a closed loop, so the work done by the system is zero.It's necessary to determine whether the work is done by the system or on the system.Since the path is a closed loop, the work done by the system is equal in magnitude but opposite in direction to the work done on the system.The work is done by the system is zero. So, it's neither positive nor negative.In summary, the work done by the system along the path from a to b to c is zero and it's not positive or negative.To learn more about work done refer:
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starting from rest, angel and britney skateboard down a hill as shown. angel rides down the steep side while britney rides down the shallow side. angel has more mass than britney. assume that friction and air resistance are negligible
Potential energy is changed into kinetic energy as the skateboarder decelerates down the ramp.
As the skater descends the ramp, how does his kinetic energy change? Potential energy is transformed into kinetic energy as the skateboarder decelerates down the ramp.The system's energy is turned into heat energy in part as a result of friction.It is impossible to return the system's kinetic or potential energy to its original state once it has been transformed into heat.As the skateboarder glides along the track, her position changes and her velocity changes, converting her potential energy into kinetic energy (KE), or the energy of motion.The skateboarder's kinetic energy, which is related to motion, is inversely proportional to the square of the object's velocity. Kinetic energy rises in direct proportion to the skater's speed.Kinetic energy rises with a fall in speed.To lean more about kinetic energy refer
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A baseball is thrown from the stands 10 ft above the field atan angle of 80" up from the horizontal. When and how far away will the ball strike the ground if its initial speed is 10 fUsec? (Assume ideal projectile motion that t is, that the baseball undergoes constant downward acceleration due to gravity but no other acceleration; assume also that acceleration due to gravity is -32 feet per second-squared:) The ball will hit the ground after 0.519469684 seconds_ The ball will hit the ground a horizontal distance of 0.573428 feet away
The ball will hit the ground after 0.519469684 seconds and will hit the ground a horizontal distance of 0.573428 feet away.
What is projectile motion?Form of motion experienced by an object or particle that is projected in gravitational field, such as from Earth's surface, and moves along curved path under the action of gravity only is called projectile motion.
The time of flight can be calculated using:
t = (2vsin(θ)) / g
t is the time of flight, v is the initial velocity, θ is angle of launch (measured from the horizontal), and g is acceleration due to gravity (which is -32 ft/s^2).
So, t = (210sin(80)) / -32
t = 0.519469684 seconds
To find the horizontal distance the ball will travel before hitting the ground:
d = vxt = vcos(θ)*t
d is the horizontal distance, vx is horizontal component of velocity, and t is the time of flight.
d = 10*cos(80)*0.519469684
So, d = 0.573428 feet
So the ball will hit the ground after 0.519469684 seconds and will hit the ground a horizontal distance of 0.573428 feet away.
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