An astronaut on moon claimed that he can jump 6 times higher on moon than that one the earth. How accurate is his claim? Give reason in support of your answer.

Explanation

To determine the accuracy of the astronaut's claim that he can jump 6 times higher on the Moon than on Earth, we can analyze the situation using the principles of energy conservation and the differences in gravitational acceleration on both celestial bodies.

### Step-by-Step Solution:

1. **Understanding Jump Height on Earth**:
- Let the maximum height the astronaut can jump on Earth be \( H \).
- The initial kinetic energy when he jumps is converted into gravitational potential energy at the maximum height.
- The equation for this energy conversion is:
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