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A body of mass M at rest explodes into t...

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

A

`15 ms^(-1)`

B

`25 ms^(-1)`

C

`35 ms^(-1)`

D

`50 ms^(-1)`

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