First slide
Motion of centre of mass
Question

An isolated particle of mass rn is moving in a horizontal plane (x-y) along the X-axis. At a certain height above the ground, it suddenly explodes into two fragments of masses m4 and 3m4. An instant later, the smaller fragment is at Y = +15 cm. The larger fragment at this instant is at:

Moderate
Solution

Initially coordinates of centre of mass is origin. Explosion is an internal force. That is after explosion the coordinate of centre of mass of the particles should be origin.

m4×(15) = 34m(Y) = 0  Y = -5 cm

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