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A body of mass 8kg at rest explodes into three parts whose masses are in the ratio 1 : 3 : 4. The bigger parts travel with a velocity 10m/s in perpendicular directions after the explosion. Velocity (in m/s) of the third part is

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answer is 50.

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Detailed Solution

As the total linear momentum is conserved,

The smaller mass will have velocities 30m/s and 40m/s in the opposite directions to the bigger parts.

Magnitude of velocity = $\sqrt{30^{2} + 40^{2}} = 50 m / s$

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