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  • If momentum of a body is increased by , then its kinetic energy increases by  <s

If momentum of a body is increased by 20%, then its kinetic energy increases by
 

Option: 1

36 %
 


Option: 2

40 %
 


Option: 3

44 %
 


Option: 4

48 %


Answers (1)

best_answer

\mathrm{\frac{\Delta p}{p} \times 100=20 \%}

\mathrm{p_i=p}

\mathrm{p_f=1.2 p}

\mathrm{K E_i=\frac{p_i^2}{2 m}}

\mathrm{K E_f=\frac{p_f^2}{2 m}}

\mathrm{\frac{K E_F}{K E_i}=\frac{p_f^2}{p_i^2}=\frac{1.44 p^2}{p^2}}

\mathrm{\Delta K E =K E_f-K E_i }

            \mathrm{=0.44\: K E_i }

\mathrm{\frac{\Delta K E}{K E_i} \times 100=44 \%}

The kinetic energy increases by \mathrm{44 \%}

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manish

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