Answer: it doubles.
- A it halves
- B it stays the same
- C it quadruples
- D it doubles
Correct answer: D. it doubles
Explanation: v<sub>e</sub> = √(2GM/R) = R√(8πGρ/3), so at constant density v<sub>e</sub> ∝ R. Doubling R doubles the escape velocity.
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.