A block of metal weighing 2 kg is resting on a frictionless plane (as shown in figure). It is struck by a jet releasing water at a rate of 1 kgs ⁻¹ and at a speed of 10 ms ⁻¹. Then, the initial acceleration of the block, in ms ⁻², will be: (a) 3 (b) 6 (c) 5 (d) 4

Answer: (c). The jet loses its horizontal momentum on hitting the block: F = dm/dtv. F = 1 kg/s × 10 m/s = 10 N a = F/m = 10/2 = 5 m/s² So the answer is (c) 5.

A block of metal weighing 2 kg is resting on a frictionless plane (as… | JEE Main 2022 (29 Jun, Shift 1)

Q14JEE Main 2022 · 29 JUN · SHIFT 1Medium

Types of Flow, Reynolds Number & Continuity

A block of metal weighing 2 kg is resting on a frictionless plane (as shown in figure). It is struck by a jet releasing water at a rate of 1 kgs ${}^{-1}$ and at a speed of 10 ms ${}^{-1}$ . Then, the initial acceleration of the block, in ms ${}^{-2}$ , will be:

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Answer: (c)

The jet loses its horizontal momentum on hitting the block: $F = \dfrac{dm}{dt}v$ .
$F = 1\text{ kg/s} \times 10\text{ m/s} = 10\text{ N}$
$a = \dfrac{F}{m} = \dfrac{10}{2} = 5\text{ m/s}^2$
So the answer is (c) 5.

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