Question

calculate the change in kinetic energy of an object if its velocity is halved

Answer 1

velocity is halved means  new velocity=1/2v

hence kinetic energy =1/2m.(1/2v)raise to power 2

hence k.e = 1/2.m.1/4 v raise to power 2

hence new ke =1/8mv raise to power 2

hence new ke =1/4 times of old ke

Answer 2

Hey!

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We know,

K.E 1 = 1/2 mv^2

If, velocity is halved, 1/2 v, then,

K.E = 1/2 m (1/2v)^2
K.E = 1/2 m× 1/4 v^2
K.E 2 = 1/8 mv^2

Now,

K.E 1 / K.E 2 [Dividing]

= 1/2 mv^2 / 1/8 mv^2
= 1/4 mv^2



Thus, new kinetic energy is 4 times the old one.


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Hope it helps...!!!