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Physics

Free Fall

The gravitati...

Question

The gravitational potential difference between the surface of a planet and a point situated at a height of 20m above its surface is 2 joule/kg. If gravitational field is uniform, then the work done in taking a 5kg body up to height 4 meters above the surface will be :

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20 J

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40 J

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10 J

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Solution

The correct option is A 2J
Work to lift a mass m to a height h is:
W = F·d = ma·h
m = 5 kg
a $= \frac{2}{20} = 0.1 \frac{m}{s^{2}}$
h = 4 m

so W = $5 \times 4 \times 0.1$ = 2J

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The gravitational potential difference between the surface of a planet and a point situated at a height of 20m above its surface is 2 joule/kg. If gravitational field is uniform, then the work done in taking a 5kg body up to height 4 meters above the surface will be :

The correct option is A 2JWork to lift a mass m to a height h is:W = F·d = ma·hm = 5 kga =220=0.1ms2h = 4 mso W = 5×4×0.1 = 2J

The correct option is A 2J
Work to lift a mass m to a height h is:
W = F·d = ma·h
m = 5 kg
a $= \frac{2}{20} = 0.1 \frac{m}{s^{2}}$
h = 4 m

so W = $5 \times 4 \times 0.1$ = 2J