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Q.

A ball of mass m is connected to a ball of mass M by means of a massless spring. The balls are pressed so that the spring is compressed. When released, ball ofmass m moves with acceleration a. The magnitude of the acceleration of mass M wiII be

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a

maM

b

Mam

c

ma(M+m)

d

Ma(M+a)

answer is A.

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Detailed Solution

When the balls are released, the force experienced by mass m is ma. This is the force exerted by mass M on mass m. The mass m will also exert an equal force ma on M (Newton's third law). So, the acceleration of mass M is given bya′=FM=maM.
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