Using the battery data, how high could a 75 kg person be raised using that energy if m g h = E?

• A. 68 m
• B. 102 m
• C. 204 m
• D. 510 m

Answer: (C)

Raising a person uses gravitational potential energy, which is m g h. The energy available from the battery sets the maximum height through m g h = E, so h = E / (m g). For a 75 kg person, using g ≈ 9.8 m/s^2, the height is h ≈ E / (735).

From the battery data, the energy is about 1.50 × 10^5 J (roughly 150 kJ). Plugging in, h ≈ 1.50×10^5 / 735 ≈ 204 m.

So the theoretical maximum height the energy could raise a 75 kg person is about 204 meters. Keep in mind real systems have inefficiencies, so actual height would be lower, but this is the energy-limited limit.