If a girl releases a stone of 1 kg from the top of a ceiling, both its potential energy and kinetic energy will each have the same value when it has fallen 15 m from the ceiling as when it has fallen 25 m from the ceiling. Determine the Potential Energy and Kinetic Energy [Assume g=9.81 m/s2 and assume the ground as a datum, and the height of the top of the roof from the ground is 25 m] a) At the top of the ceiling b) After 15 m drop c) After 25 m drop
Kinematics
A machine is a device that accepts energy in some available form and utilizes it to do a type of work. Energy, work, or power has to be transferred from one mechanical part to another to run a machine. While the transfer of energy between two machine parts, those two parts experience a relative motion with each other. Studying such relative motions is termed kinematics.
Kinetic Energy and Work-Energy Theorem
In physics, work is the product of the net force in direction of the displacement and the magnitude of this displacement or it can also be defined as the energy transfer of an object when it is moved for a distance due to the forces acting on it in the direction of displacement and perpendicular to the displacement which is called the normal force. Energy is the capacity of any object doing work. The SI unit of work is joule and energy is Joule. This principle follows the second law of Newton's law of motion where the net force causes the acceleration of an object. The force of gravity which is downward force and the normal force acting on an object which is perpendicular to the object are equal in magnitude but opposite to the direction, so while determining the net force, these two components cancel out. The net force is the horizontal component of the force and in our explanation, we consider everything as frictionless surface since friction should also be calculated while called the work-energy component of the object. The two most basics of energy classification are potential energy and kinetic energy. There are various kinds of kinetic energy like chemical, mechanical, thermal, nuclear, electrical, radiant energy, and so on. The work is done when there is a change in energy and it mainly depends on the application of force and movement of the object. Let us say how much work is needed to lift a 5kg ball 5m high. Work is mathematically represented as Force ×Displacement. So it will be 5kg times the gravitational constant on earth and the distance moved by the object. Wnet=Fnet times Displacement.
If a girl releases a stone of 1 kg from the top of a ceiling, both its potential energy and kinetic energy will each have the same value when it has fallen 15 m from the ceiling as when it has fallen 25 m from the ceiling. Determine the Potential Energy and Kinetic Energy
[Assume g=9.81 m/s2 and assume the ground as a datum, and the height of the top of the roof from the ground is 25 m]
a) At the top of the ceiling
b) After 15 m drop
c) After 25 m drop
Introduction:
Capacity of doing work is nothing but the energy. In nature, there are various forms of energy. Energy can be converted from one form to another form. Energy of the universe still remains constant. There are two different types of energy, kinetic energy and potential energy. Kinetic energy of the body acquires by body due to its motion and due to position acquired by the body it has potential energy.
Given data:
Given that, a girl releases a stone of 1 kg from the top of a ceiling
m= 1 kg
g =9.81 m/s2
Height of the ceiling, h= 25 m
Formula used:
As we know that the total energy is sum of the kinetic energy + potential energy.
Where v be the velocity of the object.
calculation:
a) At the top of the ceiling, stone is at rest its energy is
Therefore, at the top of the ceiling, kinetic energy is 0 J and potential energy is 245 J
b) The value of kinetic energy and potential energy after 15 m drop
Therefore, the value of kinetic energy and potential energy after 15 m drop is 147 J and 98 J respectively.
c) The value of kinetic energy and potential energy after 25 m drop is,
Therefore, the value of kinetic energy and potential energy after 25 m drop is 245 J and 0 J respectively.
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