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An explosion breaks a rock into three p...

An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other the first part of mass 1 kg moves with a speed of `12 ms^(-1)` and the second part of mass 2 kg moves with `8 ms^(-1)` speed. If the third part flies off with `4ms^(-1)` speed, then its mass is

A

5 kg

B

7 kg

C

17 kg

D

3 kg

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