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Standard IX

Physics

Work

A body of mas...

Question

A body of mass $m$ kg is lifted by a man to a height of one metre in $30$ sec.Another man lifts the same mass to the same height in $60$ sec. The work done by them are in the ratio

1 : 1

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2 : 1

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4 : 1

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1 : 2

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Solution

The correct option is A $1 : 1$
Work done $W = F \cdot s$ .....(1)
Force applied to pull the object $F =$ Wight of the object
$F = W = m g$ .........(2)
From equation 1 and 2
$W = m g \cdot s$ Hight attend by the mass $= h$ (let)
$W = m g h$ $s = h$
Hence Work done is independent of time taken to lift the mass. so
$W_{1} : W_{2} :: 1 : 1$ Option A

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A body of mass m kg is lifted by a man to a height of one metre in 30 sec.Another man lifts the same mass to the same height in 60 sec. The work done by them are in the ratio

The correct option is A 1:1Work done W=F⋅s.....(1)Force applied to pull the object F= Wight of the object F=W=mg.........(2)From equation 1 and 2 W=mg⋅s Hight attend by the mass =h (let) W=mgh s=hHence Work done is independent of time taken to lift the mass. soW1:W2::1:1 Option A

A body of mass $m$ kg is lifted by a man to a height of one metre in $30$ sec.Another man lifts the same mass to the same height in $60$ sec. The work done by them are in the ratio