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The question is too vague: work done on what? Kinetic energy of what? If you mean: "is the work done on a body equivalent to the kinetic energy of that body?" then the answer is "in some cases it is, but in general it is not".

Generally, the work done by a force on a body equals the change in total mechanical energy of that body (this is called the work-energy theorem). The total mechanical energy of a body is equal to the sum of its kinetic energy and its potential energy. Potential energy is only relevant when the body is under the influence of what is called a conservative force, such as gravity.

We can express the work-energy theorem mathematically as follows:

KE1 + PE1 + W = KE2 + PE2 (Eq. 1)

Where W is the work done on the body under consideration, KE and PE represent kinetic energy and potential energy, respectively, of that body - and the subscripts 1 and 2 refer to the states just before and just after the work was done on the body.

If we picture a body that is far removed from any massive object (i.e., there is no significant gravity or any other conservative force field acting on the body), and we say furthermore that it is initially at rest with respect to our frame of reference, then we may set KE1, PE1, and PE2 equal to zero. Eq. 1 now becomes:

W = KE2

Or:

F d = 1/2 m v2

Where d is the distance over which force F acts, and m and v are the body's mass and velocity, respectively. Thus, in this case, work done does indeed equal the body's final kinetic energy. Remember, though, that this is only true in a special case, where simplifying assumptions have been made (no gravity, body initially at rest). Eq. 1, the general form of the work-energy theorem, generally holds in classical mechanics.

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โˆ™ 2009-10-24 03:33:59
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Q: Does work done equal kinetic energy?
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If work done on an object is equal to object's change in kinetic energy this the state of?

the Work-Energy Theorem states the work done is equal to the change in kinetic energy.


Derivative of kinetic energy?

Work done= m*a*x. A=v2/2x, hence word done=m*v2/2, which is the kinetic energy.


Define Kinetic Energy?

1/2 x mass x velocity x velocity. The energy possessed by moving object is called the kinetic energy.The kinetic energy of a moving body with certain velocity is equal to the work done on it to make it acquire that velocity.


True or false The work energy theorem states that work equals change in kinetic energy?

Not entirely; work may be equal to a change in any type of energy.


How is potential and kinetic energy different?

Kinetic energy is the form of energy that an object has by reason of its motion. The kind of motion may be translation (motion along a path from one place to another), rotation about an axis, vibration, or any combination of motions. The total kinetic energy of a body or system is equal to the sum of the kinetic energies resulting from each type of motion. The kinetic energy of an object depends on its mass and velocity. Whereas, potential energy is the energy stored by an object by virtue of its position. For example, an object raised above the ground acquires potential energy equal to the work done against the force of gravity; the energy is released as kinetic energy when it falls back to the ground. Similarly, a stretched spring has stored potential energy that is released when the spring is returned to its unstretched state.

Related questions

If work done on an object is equal to object's change in kinetic energy this the state of?

the Work-Energy Theorem states the work done is equal to the change in kinetic energy.


How is kinetic energy related to the work being done by an object?

The change in the kinetic energy of an object is equal to the net work done on theobject.


The kinetic energy of a book on a shelf is equal to the work done to lift the book to the shelf?

no, but the POTENTIAL energy may equal the work done to life the book to the shelf


Is t true the kinetic energy of a book on a shelf is equal to the work done to lift the book to the shelf?

no


True or false the kinetic energy of a book shelf is equal to the work done to lift the book to the shelf?

false


Derivative of kinetic energy?

Work done= m*a*x. A=v2/2x, hence word done=m*v2/2, which is the kinetic energy.


Define Kinetic Energy?

1/2 x mass x velocity x velocity. The energy possessed by moving object is called the kinetic energy.The kinetic energy of a moving body with certain velocity is equal to the work done on it to make it acquire that velocity.


What is the work- energy theorem?

The work done by the net force acting on a body results change only in its kinetic energy.The work done by the net force acting on a body results change only in its kinetic energy.


What is the work - energy theorem?

The work done by the net force acting on a body results change only in its kinetic energy.The work done by the net force acting on a body results change only in its kinetic energy.


What does work equal?

work done = force x distance work done =energy transfered


How does energy change when work is done?

Energy changes and object is equal to the net work done. This is taught in science.


A energy is?

Energy is the potential to do some work. If there is work done on a system, this work done is stored as potential energy of the system. If the system in motion, it should have kinetic energy. Hence total energy of the system PE+KE

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