Gravitational PE at SurfaceMediumQuestion 30740
Question
Gravitational PE of a 10 kg mass on Earth's surface (R = 6.4×10⁶ m, g = 10 m/s²) relative to infinity is:
- A−6.4×10⁸ JCorrect
- B+6.4×10⁸ J
- C−10 J
- DZero
Correct answer
−6.4×10⁸ J
Explanation
U = −GMm/R = −mgR = −10×10×6.4×10⁶ = −6.4×10⁸ J. The negative sign indicates the mass is bound to Earth (needs energy to escape).