A pan of mass \( m=1.5 \mathrm{~kg} \) and a block of mass \( M=3 \mathrm{~kg} \) are connected ...
0A pan of mass \( m=1.5 \mathrm{~kg} \) and a block of mass
\( M=3 \mathrm{~kg} \) are connected to each other by a light
inextensible string, passing over a light pulley
as shown in figure. Initially, the block is resting
on a horizontal floor. A ball of mass \( m_{0}=0.5 \mathrm{~kg} \)
collides with the pan at a speed \( v_{0}=20 \mathrm{~m} / \mathrm{s} \).
Consider this instant of collision as \( t=0 \). Assume collision to be
perfectly inelastic. Now, answer the following questions based on
the above information.
Find the velocity of pan \( + \) ball system at \( t=2.6 \mathrm{~s} \). Assume
that the block comes to rest instantaneously after striking the
floor.
\( \begin{array}{ll}\text { (1) } 4 \mathrm{~m} / \mathrm{s} \text { downward } & \text { (2) } 4 \mathrm{~m} / \mathrm{s} \text { upward } \\ \text { (3) } 0.6 \mathrm{~m} / \mathrm{s} \text { upward } & \text { (4) } 0.4 \mathrm{~m} / \mathrm{s} \text { downward }\end{array} \)
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