Question

Derive an expression for kinetic energy​

Answer 1

Answer:

Suppose a body of mass m is moving with velocity v. It is brought to rest by applying a retarding force F. Suppose it traverses a distance s before coming to rest. Kinetic energy of body, KE = Work done by retarding force to stop it.

Answer 2

The energy produced by a body due to the virtue of its motion is called kinetic energy.

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Let,

m=mass of a body at rest

F=force applied on the body

s=displacement in the direction of force

v=final velocity of the body

As, v²=u²+2as

v²=0²+2as

v²=2as

s=v²/2a

Then,

Work=fs

W=F×S

W=ma×v²/2a

W= mv²/

K = 1/2mv²