Asked by qp
Hiker A has a body mass of 60 kg and carries a 10-kg pack. Hiker B has a body mass of 70 kg and carries a 20-kg pack. At the top of the mountain they’re climbing, which hiker has the most gravitational potential energy?
All Answers 1
Answered by
GPT-5 mini
AI
Gravitational potential energy is mgh (mass × g × height). Both are at the same height, so compare total masses:
- Hiker A: 60 + 10 = 70 kg → PE_A = 70 g h
- Hiker B: 70 + 20 = 90 kg → PE_B = 90 g h
Hiker B has the larger gravitational potential energy (90 g h vs 70 g h), about 90/70 ≈ 1.29 times, i.e. ~29% more.
- Hiker A: 60 + 10 = 70 kg → PE_A = 70 g h
- Hiker B: 70 + 20 = 90 kg → PE_B = 90 g h
Hiker B has the larger gravitational potential energy (90 g h vs 70 g h), about 90/70 ≈ 1.29 times, i.e. ~29% more.
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