JEE Main · 2022 · 29 Jun 2022 · Shift 2 · Laws of Motion

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A block of mass 40 kg slides over a surface, when a mass of 4 kg is suspended through an inextensible massless string passing over frictionless pulley as shown below. The coefficient of kinetic friction between the surface and block is 0.02 . The acceleration of block is. (Given

g = 10 ms^{- 2}

(A) $1 ms^{- 2}$
(B) $1/5 ms^{- 2}$
(C) $4/5 ms^{- 2}$
(D) $8/11 ms^{- 2}$ ✓ Correct

Answer: (D)

Solution

For the 4 kg hanging mass:

4 g - T = 4 a

For the 40 kg block on the surface:

T - μ_{k} (40 g) = 40 a

, where friction force =

0.02 \times 40 \times 10 = 8

N.

Adding both equations:

4 g - 8 = 44 a

40 - 8 = 44 a

a = \frac{32}{44} = \frac{8}{11}

m/s²

JEE Main · 2022 · 29 Jun 2022 · Shift 2 · Single correct option

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