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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

$\begin{array}{l} L C L M : 38 X 25 + 19 X 25 = 38 V_{1} + 19 X 27 \\ V_{1} = 24 m / s \\ V_{c m} = 25 m / s \\ V_{1 - c m} = 24 - 25 = - 1 m / s \end{array}$

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