3-2. A 70-kg astronaut is loaded so heavily with equipment that on Earth he can jump only to a height of 10 cm. How high can he jump on the Moon? O
3-2. A 70-kg astronaut is loaded so heavily with equipment that on Earth he can jump only to a height of 10 cm. How high can he jump on the Moon? O
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![**Physics Question: Jumping in Different Gravitational Fields**
**Problem 3-2:**
A 70-kg astronaut is heavily loaded with equipment, limiting his jump height on Earth to only 10 cm. How high can he jump on the Moon?
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**Explanation:**
To solve this, consider the gravitational acceleration on Earth (approximately \(9.81 \, \text{m/s}^2\)) and on the Moon (approximately \(1.63 \, \text{m/s}^2\)). On the Moon, where gravity is weaker, the astronaut can jump higher given the same initial force. Calculate the Moon jump height using the ratio of gravitational forces:
\[
\text{Height on Moon} = \text{Height on Earth} \times \left(\frac{\text{Gravity on Earth}}{\text{Gravity on Moon}}\right)
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb6179f2d-9037-43d9-8392-bd4a184bae30%2F063d5ff0-791e-4d33-b8ec-d8b5ea50635c%2F0obmhbr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Physics Question: Jumping in Different Gravitational Fields**
**Problem 3-2:**
A 70-kg astronaut is heavily loaded with equipment, limiting his jump height on Earth to only 10 cm. How high can he jump on the Moon?
---
**Explanation:**
To solve this, consider the gravitational acceleration on Earth (approximately \(9.81 \, \text{m/s}^2\)) and on the Moon (approximately \(1.63 \, \text{m/s}^2\)). On the Moon, where gravity is weaker, the astronaut can jump higher given the same initial force. Calculate the Moon jump height using the ratio of gravitational forces:
\[
\text{Height on Moon} = \text{Height on Earth} \times \left(\frac{\text{Gravity on Earth}}{\text{Gravity on Moon}}\right)
\]
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