A body of mass explodes pieces ratio masses | CENTRE OF MASS

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JEE Main 2022

{S1}_29-06-22

Question

A body of mass $M$ at rest explodes into three pieces, in the ratio of masses $1: 1: \mid 2$. Two smaller pieces fly off perpendicular to each other with velocities of $30 \mathrm{~ms}^{-1}$ and $40 \mathrm{~ms}^{-1}$ respectively. The velocity of the third piece will be :

Select the correct option:

A

$15 \mathrm{~ms}^{-1}$

B

$25 \mathrm{~ms}^{-1}$

C

$35 \mathrm{~ms}^{-1}$

D

$50 \mathrm{~ms}^{-1}$

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