Question

Two bodies of mass 1kg and 5kg have equal kinetic energy. The ratio of their velocities is
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Answer 1

If 5kg body has velocity X then 1kg body has square root of 5 times X. We have a body with mass of 1 kg and when it gets speed of 0.9c its mass increases of 1,2941 kg so 1,16313*10^17J but the kinetic energy we gave the body equals to 8,3506*10^16J.

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Answer 2

mass of a body = 1 kg

mass of another body= 5 kg.

let the velocity of 1 kg massed body be= V'

again, the velocity of 5 kg massed body be= V"

than , kinetic energy= 1/2 mv^2.

--->given,

kinetic energy of the both bodies are

same.

than ,

1/2mv'^2= 1/2 mv"^2.

hence, v'/v"= 5/1

than, v'/v"=√5:1 (answer).

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