In all the situations shown in List-I, the ideal spring is relaxed initially and all surfaces in contact with the block are smooth. Match entries in List-II for elongation of the spring at equilibrium

Question

In all the situations shown in List-I, the ideal spring is relaxed initially and all surfaces in contact with the block are smooth. Match entries in List-II for elongation of the spring at equilibrium position of the blocks. Blocks in all the cases start from rest. [ $g = 10 m / s^{2}$ ]

List - I	List - II
(P)	(1) $2 c m$
(Q)	(2) $5 c m$
(R)	(3) $3 c m$
(S)	(4) $1 c m$
	(5) $4 c m$

TestHub · Accepted Answer

Equilibrium elongation x = F / k with k = 1000 N / m : P: x = 1000 30 ​ = 3 c m ; Q: x = 1000 2 × 10 ​ = 2 c m ; R: x = 1000 5 × 10 sin 3 7 ∘ ​ = 3 c m ; S (truck, pseudo force): x = 1000 5 × 2 ​ = 1 c m . P-3, Q-1, R-3, S-4 - option (A).

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