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Q.

In the figure a 19 Kg cart is connected by means of a coiled spring to a 38 Kg cart. The two carts are moving to the right at a speed of 25 m/s. When the spring suddenly becomes uncoiled and propels the 19 Kg cart forward with a speed of 27 m/s, find the magnitude of speed of the second cart (in m/s) in centre of mass frame. 
 

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Detailed Solution

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LCLM: 38 X 25 + 19 X 25 = 38 V1+ 19 X 27        V1=24 m/s        Vcm= 25 m/s       V1−cm=24−25 = −1 m/s

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