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Q.

Gravitational potential difference between a point on the surface of a planet and point $10 m$ above is $4 J / k g$ . Considering the gravitational field to be uniform, how much work is done in moving a mass of $2 k g$ from the surface to a point $5 m$ above the surface?

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a

$4 J$

b

$5 J$

c

$6 J$

d

$7 J$

answer is A.

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Detailed Solution

Gravitational field $g = - \frac{∆ V}{∆ x} = - (\frac{- 4}{10}) = \frac{4}{10} J / k g - m$
Work done in moving a mass of $2 k g$ from the surface to a point $5 m$ above the surface,
$W = m g h = (2 k g) (\frac{4}{10} \frac{J}{k g - m}) (5 m) = 4 J$

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Gravitational potential difference between a point on the surface of a planet and point 10 m above is 4 J/kg. Considering the gravitational field to be uniform, how much work is done in moving a mass of 2 kg from the surface to a point 5 m above the surface?