# Physics Assignment Help With Work Energy Theorem

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## Work Energy Theorem

Let us study*what physical quantity changes when work is done on a particle*. If a constant force

*F*acts through a displacement

*x*, it does work

*W*=

*Fx*= (

*ma*)

*x*on the particle.

Since the acceleration is constant, we can use the equation of kinematics

Thus,

*W*=The quantity

*K*= is a scalar and is called the

*kinetic energy*of the particle.

Kinetic energy is the energy that a particle posses by virtue of its motion.

Thus, the equation takes the form

*W*=*Kf*-*Ki*=**D**

*K*The work done by a force changes the kinetic energy of the particle. This is called the

*Work-Energy Theorem.*

### In General

The*net work done*by the resultant of all the force acting on the particle is equal to the change in

*kinetic energy*of a particle.

*Wnet*= D*K*### Important

**(i)**The kinetic energy of an object is a measure of the amount of work needed to increase its speed from zero to a given value.

**(ii)**The kinetic energy of a particle is the work it can do on its surroundings in coming to rest.

**(iii)**Since the

*velocity*and

*displacement*of a particle depend on the

*frame of reference*, the numerical values of the work and the kinetic energy also depend on the frame.

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