To determine how much a man can lift on the moon given that he can lift 10 kg on Earth, we need to consider the difference in gravitational force between the Earth and the moon.
1. Understanding Gravitational Force Differences:
- Gravitational force on the moon is approximately [tex]\( \frac{1}{6} \)[/tex] of the gravitational force on Earth.
2. Weight Conversion Process:
- The weight that the man can lift on Earth is given as 10 kg.
- Since the gravitational force on the moon is [tex]\( \frac{1}{6} \)[/tex] of that on Earth, an object will weigh [tex]\( \frac{1}{6} \)[/tex] as much on the moon as it does on Earth.
3. Calculating the Comparative Weight on the Moon:
- To find out the equivalent weight the man can lift on the moon, we need to divide the weight he can lift on Earth by the gravitational ratio (which is [tex]\( \frac{1}{6} \)[/tex]).
[tex]\[
\text{Weight on the Moon} = \text{Weight on Earth} \times \left(\frac{\text{Earth's Gravity}}{\text{Moon's Gravity}}\right)
\][/tex]
However, mathematically, this results in multiplying by the reciprocal of the gravity ratio ([tex]\(\frac{1}{6}\)[/tex]):
[tex]\[
\text{Weight on the Moon} = 10 \text{ kg} \times \left(\frac{6}{1}\right) = 60 \text{ kg}
\][/tex]
4. Final Answer:
- So, if a man can lift 10 kg on Earth, he can lift 60 kg on the moon.
Therefore, the correct answer is:
[tex]\[
\boxed{60 \text{ kg}}
\][/tex]
