A pan of mass m = 1.5 kg and a block of mass M = 3 kg are connected with each other by a flexible, light and inextensible string, passing over a small, light and frictionless pulley. Initially the blo

Question

A pan of mass m = 1.5 kg and a block of mass M = 3 kg are connected with each other by a flexible, light and inextensible string, passing over a small, light and frictionless pulley. Initially the block is resting over a horizontal floor as shown in Figure. List - I List - II (P) Velocity of pan in ms − 1 just after collision (1) 0.64 (Q) Acceleration in ms − 2 of pan just after collision (2) 1.6 (R) Maximum height rise in m of block (3) 2 (S) Time in s at which block strikes the floor (4) 9.8 (5) None

TestHub · Accepted Answer

Apply momentum conservation to the sticking collision, then solve the connected motion.

Pan speed just after collision = 1.6 m/s.

Pan acceleration just after collision = 2 m/s².

Maximum height of the block = 0.64 m.

The block returns to the floor at 1.6 s.

Hence option A.

Physics - NLM Question with Solution | TestHub

Options:

Doubts & Discussion

List - I	List - II
(P) Velocity of pan in $ms^{- 1}$ just after collision	(1) 0.64
(Q) Acceleration in $ms^{- 2}$ of pan just after collision	(2) 1.6
(R) Maximum height rise in m of block	(3) 2
(S) Time in s at which block strikes the floor	(4) 9.8
	(5) None