Question

what happens to the kinetic energy of an object when its velocity is doubled?

Answer 1

see the formula for kinetic energy is 1/2mv²
so if velocity is doubled then 1/2m(2v)²
this gives that 4(1/2mv²)
so the kinetic energy will be it's 4 times if the velocity is doubled

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Answer 2

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K1=1/2m(υ)^2 ------(1)

If you double the speed then:

K2=1/2m(2υ)^2= 1/2m(υ)^2×4= 2m(υ)^2

m(v)^2 = 2K1 ------ ( from 1)

so , K2 = 4K1

HENCE KINETIC ENERGY BECOMES 4 TIMES THE ORIGINAL KINETIC ENERGY.

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