A body of mass 15 kg is raised from certain depth. If the work done in raising it by 10 m is 1620 J, its velocity at this position is

2 m s^{- 1}

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4 m s^{- 1}

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1 m s^{- 1}

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8 m s^{- 1}

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Solution

The correct option is A $4 m s^{- 1}$
$W = m g h + \frac{1}{2} m v^{2}$

$1620 = 15 \times 10 \times 10 + \frac{1}{2} \times 15 \times v^{2}$

$⟹ v = 4 m / s$

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A body of mass 15 kg is raised from certain depth. If the work done in raising it by 10 m is 1620 J, its velocity at this position is

The correct option is A 4 ms−1W=mgh+12mv21620=15×10×10+12×15×v2⟹v=4 m/s

The correct option is A $4 m s^{- 1}$
$W = m g h + \frac{1}{2} m v^{2}$

$1620 = 15 \times 10 \times 10 + \frac{1}{2} \times 15 \times v^{2}$

$⟹ v = 4 m / s$