Q. 7

# Write true or false for the following statements :When velocity is halved, its kinetic energy becomes 1/4th.

True

Explanation: Kinetic energy KE of a body of mass m moving with velocity or speed v is given by the formula:

KE = m v2

so kinetic energy is directly proportional to the mass of object and to the square of speed of the body.

KE1 = mv12

If the velocity of body is halved then kinetic energy

KE2 = mv22 where, v2 = v1

Substituting the value of v2 in the formula,

KE2 = m ( v1)2

= ( mv12)

KE2 = KE1

So kinetic energy will become 1/4 if the speed is halved.

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