Answer the following by appropriately matching the lists based on the information given in the paragraph. A rough track connects point O ( 0 m , 0 m ) to point A ( 1 m , 1 m ) . External force F alway

Question

Answer the following by appropriately matching the lists based on the information given in the paragraph.

A rough track connects point $O (0 m, 0 m)$ to point $A (1 m, 1 m)$ . External force F always tangential to path pulls object of mass 2 kg from point $O (0 m, 0 m)$ to point $A (1 m, 1 m)$ very slowly. Coefficient of friction between block and track is 0.5

In List-I some physical quantity regarding motion of block is mentioned while List-II has its corresponding numerical value.

List - I	List - II
(P) Work done by frictional force on block (magnitude wise in Joules)	(1) 30
(Q) Normal reaction force between block and track at $x = \frac{1}{2} m$ (in Newton)	(2) $20 \frac{2}{3}$
(R) Work done by external force F on block (magnitude wise in Joules)	(3) 10
(S) Net reaction force between block and track at $x = \frac{3}{4} m$ (in Newton)	(4) $20 \frac{5}{13}$
	(5) $515$

If equation of track is $y^{2} = x$ then choose the correct combination from List I & List II.

TestHub · Accepted Answer

Track y 2 = x : tan θ = 2 x ​ 1 ​ , N = m g cos θ . Friction work W f ​ = μ m g Δ x = 10 J . P → 3 Work by F: W F ​ = m g h + W f ​ = 30 J . R → 1 At x = 1/2 : N = 20 2/3 ​ N . Q → 2 At x = 3/4 : net reaction 5 15 ​ N . S → 5 Answer: A

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