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Question

Physics Question on work, energy and power

If kinetic energy of a body is increased by 300% than percentage change in momentum will be

A

100%

B

150%

C

265%

D

73.20%

Answer

100%

Explanation

Solution

The correct option is (A) : 100%

P1 = 2\sqrt{2}mE1 ; P2 = 2\sqrt{2}mE2

=2\sqrt{2}m(E1+300100E1\frac{E_1+300}{100E_1}) =√2m(4E1)=2P1

∴ % change = P2P1P1×100\frac{P_2-P_1}{P_1}\times100 = 2P2P1P1×100\frac{2P_2-P_1}{P_1}\times100=100%