Kinetic energy of a body decreases by 36% . decrease in its momentum is ............... %

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5.Work, Energy, Power and Collision

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The kinetic energy of a body decreases by $36\%$. The decrease in its momentum is ............... $\%$

A

$36$

B

$20$

C

$8$

D

$6$

Solution

(b) $P = \sqrt {2\,mE} $ $\therefore P \propto \sqrt E $

In given problem $K.E.$ becomes $64\%$ of the original value.

$\frac{{{P_2}}}{{{P_1}}} = \sqrt {\frac{{{E_2}}}{{{E_1}}}} = \sqrt {\frac{{64E}}{{100E}}} = 0.8$==>${P_2} = 0.8\,P$

$\therefore {P_2} = 80\% $ of the original value.

i.e. decrease in momentum is $20\%$.

Standard 11

Physics

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