Gravitational potential at a point is -5 x 10 7 J/kg. Work done to bring 1 kg mass from infinity to this point is:

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Gravitational potential at a point is -5 x 10⁷ J/kg. Work done to bring 1 kg mass from infinity to this point is:

Answer: -5 x 10⁷ J.

A 5 x 10⁷ J
B -5 x 10⁷ J
C Zero
D Infinity

Correct answer: B. -5 x 10⁷ J

Explanation: Work done = m x (V_final - V_infinity) = 1 x (-5 x 10⁷ - 0) = -5 x 10⁷ J. Negative means energy released.

g is maximum at Earth's surface; going up, it falls off as 1/r² (inverse-square); going down, it falls off linearly with depth (since only the mass enclosed within radius r contributes), reaching zero at the centre.

Concept context

Universal gravitation, orbital mechanics, gravitational potential, and escape velocity.

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Gravitational potential at a point is -5 x 107 J/kg. Work done to bring 1 kg mass from infinity to this point is:

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Gravitational potential at a point is -5 x 10⁷ J/kg. Work done to bring 1 kg mass from infinity to this point is: