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A shell at rest at the origin explodes i...

A shell at rest at the origin explodes into three pieces of masses 1 kg, 2 kg, and m kg, The 1 kg and 2 kg pieces fly off with speeds `12 ms^(-1)` and `16 ms^(-1)`, along X-axis and Y-axis respectively. If m kg flies off with a speed of `40 ms^(-1)`, the total mass of the shell must be :

A

3.64 kg

B

36.4 kg

C

4.5 kg

D

5.24 kg

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The correct Answer is:
a
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