Answer: -5 x 10 7 J.
- A 5 x 10<sup>7</sup> J
- B -5 x 10<sup>7</sup> J
- C Zero
- D Infinity
Correct answer: B. -5 x 10<sup>7</sup> J
Explanation: Work done = m x (V<sub>final</sub> - V<sub>infinity</sub>) = 1 x (-5 x 10<sup>7</sup> - 0) = -5 x 10<sup>7</sup> 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.