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Standard XII

Physics

Elastic Potential Energy

The gravitati...

Question

The gravitational potential difference between the surface of a planet and a point $20 m$ above the surface is $2 J o u l e / K g$ . If the gravitational field is uniform then the work done in carrying a $5 K g$ body to a height of $4 m$ above the surface is

2 J o u l e

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20 J o u l e

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40 J o u l e

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10 J o u l e

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Solution

The correct option is C $2 J o u l e$
since it is given that gravitational field is uniform
gradient of potential $= \frac{P o t e n t i a l d i f f .}{D i s t . b e t w e e n p o i n t s} = \frac{2}{20} = 0.1 J / K g s$
Total work done $= m a s s \times d i s t a n c e \times p o t . g r a d i e n t = 5 \times 4 \times 0.1 = 2 J o u l e$

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