Q.

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

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a

2⋅5cm/sec2, westward

b

2⋅5cm/sec2, eastward

c

25cm/sec2, westward

d

25cm/s2, eastward

answer is D.

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Detailed Solution

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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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