Question

prove that kinetic energy = 1/2 mv2​

Answer 1

Expression for K.E -

KINETIC ENERGY-K.E = 1/2 mv2.

"Energy posses by a body by virtue of its motion is referred to as 'Kinetic Energy'". Kinetic energy depends upon the mass and velocity of body. If velocity is zero then K.E. of body will also be zero.

Answer 2

2aS = Vf2 – Vi2

Putting the above mentioned values

2ad = V2 – 0

a = V2/2d

Now force is given by

Now force is given byF = ma

Putting the value of acceleration

Putting the value of accelerationF = m(V2/2d)

Work done = mV2/2

OR

Work done = ½ mV2

Work done = ½ mV2Since the work done is motion is called "Kinetic Energy"

Explanation:

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