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The two values are equal About 2.94 J. It would have 4.90 J of potential energy on the 5 m shelf. When the ball is held at its highest point, it has potential energy, specifically gravitational potential energy. 2. When the ball is falling towards the table, it has kinetic energy. It has the most kinetic energy at the very end of its descent when it is moving the fastest.
How does changing the horizontal position of the ball affect its potential energy? Horizontal position has no effect on gravitational potential energy. The factors that affect an object's gravitational potential energy are its height relative to some reference point, its mass, and the strength of the gravitational field it is in. because it builds speed due to gravity, while its potential energy begins to decrease, because it is no longer as far from the ground. Just before it hits the ground, the ball has almost no potential energy and a lot of kinetic energy.
What has more potential energy: a boulder on the ground or a feather 10 feet in the air? (Answer: The feather because the boulder is on the ground and has zero potential energy. However, if the boulder was 1 mm off the ground, it would probably have more potential energy.) Other examples of items with gravitational potential energy include:
A raised weight.
Water that is behind a dam.
A car that is parked at the top of a hill.
A snow pack (potential avalanche)
A yoyo before it is released.
River water at the top of a waterfall.
A book on a table before it falls.
A child at the top of a slide. The actual potential energy of an object depends on its position relative to other objects. For example, a brick has more potential energy suspended off of a two-story building than it does resting on the ground. That's because the brick's relative position to the Earth gives it more energy. The amount of gravitational potential energy an object has depends on its height and mass. The heavier the object and the higher it is above the ground, the more gravitational potential energy it holds. Gravitational potential energy increases as weight and height increases. PEgrav = m *• g • h
In the above equation, m represents the mass of the object, h represents the height of the object and g represents the gravitational field strength (9.8 N/kg on Earth) - sometimes referred to as the acceleration of gravity.
Since the force required to lift it is equal to its weight, it follows that the gravitational potential energy is equal to its weight times the height to which it is lifted. PE = kg x 9.8 m/s2 x m = joules. PE = lbs x ft = ft lb.
We place the zero point of gravitational potential energy at a distance r of infinity. This makes all values of the gravitational potential energy negative. It turns out that it makes sense to do this because as the distance r becomes large, the gravitational force tends rapidly towards zero. When a ball is dropped gravity pulls the ball toward the ground, slowing the ball down so that each bounce is shorter and shorter, until eventually the ball stops bouncing. The force of the ball hitting the hard ground puts an equal force back onto the ball, meaning it bounces back up. During a collision, some of the ball's energy is converted into heat. As no energy is added to the ball, the ball bounces back with less kinetic energy and cannot reach quite the same height. ... It reaches way higher than from the height it was released. If you define "bouncing" as leaving the ground for any amount of time, the ball stops bouncing when the elastic energy stored in the compression phase of the bounce is not enough to overcome the weight of the ball. ... Some energy is dissipated in the compression and decompression phases.
gravity increases with height. gravity is significantly less on high mountains or tall buildings and increases as we lose height (which is why falling objects speed up) gravity is caused by the Earth spinning. gravity affects things while they are falling but stops when they reach the ground.
After hundreds of years of observation and experimentation, science has classified energy into two main forms: kinetic energy and potential energy. In addition, potential energy takes several forms of its own. Kinetic energy is defined as the energy of a moving object.
How does changing the horizontal position of the ball affect its potential energy? Horizontal position has no effect on gravitational potential energy. The factors that affect an object's gravitational potential energy are its height relative to some reference point, its mass, and the strength of the gravitational field it is in. because it builds speed due to gravity, while its potential energy begins to decrease, because it is no longer as far from the ground. Just before it hits the ground, the ball has almost no potential energy and a lot of kinetic energy.
What has more potential energy: a boulder on the ground or a feather 10 feet in the air? (Answer: The feather because the boulder is on the ground and has zero potential energy. However, if the boulder was 1 mm off the ground, it would probably have more potential energy.) Other examples of items with gravitational potential energy include:
A raised weight.
Water that is behind a dam.
A car that is parked at the top of a hill.
A snow pack (potential avalanche)
A yoyo before it is released.
River water at the top of a waterfall.
A book on a table before it falls.
A child at the top of a slide. The actual potential energy of an object depends on its position relative to other objects. For example, a brick has more potential energy suspended off of a two-story building than it does resting on the ground. That's because the brick's relative position to the Earth gives it more energy. The amount of gravitational potential energy an object has depends on its height and mass. The heavier the object and the higher it is above the ground, the more gravitational potential energy it holds. Gravitational potential energy increases as weight and height increases. PEgrav = m *• g • h
In the above equation, m represents the mass of the object, h represents the height of the object and g represents the gravitational field strength (9.8 N/kg on Earth) - sometimes referred to as the acceleration of gravity.
Since the force required to lift it is equal to its weight, it follows that the gravitational potential energy is equal to its weight times the height to which it is lifted. PE = kg x 9.8 m/s2 x m = joules. PE = lbs x ft = ft lb.
We place the zero point of gravitational potential energy at a distance r of infinity. This makes all values of the gravitational potential energy negative. It turns out that it makes sense to do this because as the distance r becomes large, the gravitational force tends rapidly towards zero. When a ball is dropped gravity pulls the ball toward the ground, slowing the ball down so that each bounce is shorter and shorter, until eventually the ball stops bouncing. The force of the ball hitting the hard ground puts an equal force back onto the ball, meaning it bounces back up. During a collision, some of the ball's energy is converted into heat. As no energy is added to the ball, the ball bounces back with less kinetic energy and cannot reach quite the same height. ... It reaches way higher than from the height it was released. If you define "bouncing" as leaving the ground for any amount of time, the ball stops bouncing when the elastic energy stored in the compression phase of the bounce is not enough to overcome the weight of the ball. ... Some energy is dissipated in the compression and decompression phases.
gravity increases with height. gravity is significantly less on high mountains or tall buildings and increases as we lose height (which is why falling objects speed up) gravity is caused by the Earth spinning. gravity affects things while they are falling but stops when they reach the ground.
After hundreds of years of observation and experimentation, science has classified energy into two main forms: kinetic energy and potential energy. In addition, potential energy takes several forms of its own. Kinetic energy is defined as the energy of a moving object.
Potential Energy of the ball = Amount of work needed to place the ball on the 2 m shelf = [tex]19.62 \times m = f(mass \; of\; balls )[/tex]
By the definition of work
[tex]Work = F.ds......(1)[/tex]
Let us consider a ball having mass = [tex]m[/tex]
Weight of the ball = [tex]mg[/tex]
Equation (1) defines Work.
If the work is to be done against acceleration due to gravity of earth
then the work needed to keep the ball at height [tex]h[/tex] is given by equation (2)
[tex]Work = mg\times h[/tex]......... (2)
Also the Potential Energy of mass m kept at height h is given by equation (3)
[tex]Potential \; Energy = mgh[/tex]......(3)
given
The height of the shelf = 2 m
So From Equation (1) and (2) we get
[tex]Work = Potetial Energy = 19.62\times m \; Joule[/tex]
So both Work and Potential Energy are equal in this case and function of masses of the balls.
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