Question

hey guys ,

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prove that :

increase in the kinetic energy of a body is equal to the work done by the force acting on the body.

Answer 1

So as we do some amount of work so the object is getting move from one place to another and the movement of molecules takes place so as thekinetic energy increase the work done increase. ... Given this definition, the amount of work done is equal to the amount of force acting used to cause a given displacement.u

Proof:-


Let us consider a block of mass m lying on a smooth horizontal surface as shown in the figure. Let a constant force F be applied on it such that, after traveling a distance s, its velocity becomes v.

If a is the acceleration of the body, then
as initial velocity, u = 0.
So
As work done on the body = force X distance, then From the equations above, we have

This work done on the body of mass m will set the body moving with velocity v from its state of rest. It is equal to kinetic energy of the body. Therefore,,

Answer 2

hello ✌✌

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Work done by a force acting on an object is equal to the product of force and the displacement of the object in the direction of the force. ... This block is acted upon by a constant force F. Action of this force is to move the body through a distance d in a straight line in the direction of the force.

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