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}

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10 {m s}^{- 2}

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2.5 {m s}^{- 2}

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1 {m s}^{- 2}

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5 {m s}^{- 2}

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Solution

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

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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

The correct option is E 5ms−2F=dmdt⋅v=2×10The initial acceleration of blocka=Fm=2kgs−1×10ms−24 =204=5ms−2

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

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