Two balls A and B of mass $$0.10$$ kg and $$0.25$$ kg respectively are connected by a stretched spring of negligible mass and placed on a smooth table when the balls are released simultaneously, the initial acceleration of ball B is $$10$$ $$cm/s2$$ westward. The magnitude and direction of acceleration of the ball A are

Question

Two balls A and B of mass $$0.10$$ kg and  $$0.25$$ kg respectively are connected by a stretched spring of negligible mass and placed on a smooth table when the balls are released simultaneously, the initial acceleration of ball B is $$10$$ $$cm/s2$$  westward. The magnitude and direction of acceleration of the ball A are

Infinity Learn · Accepted Answer

Here, the force provided by the spring is internal Hence p s $$=$$ constant  or $$mAvA+mBvB=$$ constant   or $$ddtmAvA+mBvB=0$$ $$mAaA+mBaB=0$$ ∵$$ddtV=a$$ ∴ $$aA=$$−mBmA×$$aB=$$−$$0$$⋅$$250$$⋅$$10$$×$$10cm/sec2$$ $$=$$−$$25cm/sec2$$ (Westward)  $$=25cm/sec2($$ Eastward $$)$$

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