A block of weight 4 kg is resting on a smooth horizontal plane. If it is struck by a jet of water at the rate of 2 kgs-1 and at the speed of 10 ms-1, then the initial acceleration of the block is

Question

A block of weight 4 kg is resting on a smooth horizontal plane. If it is struck by a jet of water at the rate of 2 kgs-1 and at the speed of 10 ms-1, then the initial acceleration of the block is (A) 15 ms-2 (B) 10 ms-2 (C) 2.5 ms-2 (D) 1 ms-2

Tardigrade Admin · Accepted Answer

F=(d m/d t) ⋅ V=2 × 10 The initial acceleration of block a =(F/m)=(2 kgs -1 × 10 ms -2/4) =(20/4)=5 ms -2

Q. A block of weight $4 k g$ is resting on a smooth horizontal plane. If it is struck by a jet of water at the rate of $2 k g s^{- 1}$ and at the speed of $10 m s^{- 1}$ , then the initial acceleration of the block is

$15 m s^{- 2}$

$10 m s^{- 2}$

$2.5 m s^{- 2}$

$1 m s^{- 2}$

$5 m s^{- 2}$

$F = \frac{d m}{d t} \cdot V = 2 \times 10$
The initial acceleration of block
$a = \frac{F}{m} = \frac{2 k g s ^{- 1} \times 10 m s ^{- 2}}{4}$
$= \frac{20}{4} = 5 m s^{- 2}$

Q. A block of weight 4kg is resting on a smooth horizontal plane. If it is struck by a jet of water at the rate of 2kgs−1 and at the speed of 10ms−1, then the initial acceleration of the block is

15ms−2

10ms−2

2.5ms−2

1ms−2

5ms−2

F=dtdm​⋅V=2×10 The initial acceleration of block a=mF​=42kgs−1×10ms−2​ =420​=5ms−2