An isolated particle of mass m is moving in horizontal plane (x-y), along x-axis, at a certain heigh

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An isolated particle of mass m is moving in horizontal plane (x-y), along x-axis, at a certain height above the ground. It suddenly explodes into two fragment of masses m/4 and 3m/4. An instant later, the smaller fragment is at y = + 15 cm. The larger fragment at this instant is at

Accepted Answer

Before explosion, particle was moving along x-axis i.e., it has no y-component of velocity. Therefore, the centre of mass will be not move in y-direction or we can say y_CM = 0.
Now, y_CM

Therefore, 0 =

or y = - 5 cm.

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