As astronaut of mass 60 kg is revolving around the Earth in a satellite. What will be his weight inside the satellite assuming `g = 10 m//s^(2)`.

Options

A. 1200 N
B. 600 N
C. Infinite
D. zero

Answer

To solve the question of the astronaut's weight inside the satellite, we need to understand the concept of weight in a satellite that is in orbit around the Earth.

### Step-by-Step Solution:

1. **Understand Weight in Orbit**:
Weight is the force exerted by gravity on an object. However, when an object is in free fall, such as an astronaut inside a satellite, it experiences weightlessness. This is because both the astronaut and the satellite are falling towards the Earth at the same rate due to gravity.

2. **Identify the Given Information**:
- Mass of the astronaut (m) = 60 kg
- Acceleration due to gravity (g) = 10 m/s²

3. **Calculate the Weight of the Astronaut**:
Normally, the weight (W) of an object can be calculated using the formula:
\[ W = m \times g \]
However, in the case of the astronaut inside the satellite, we need to consider that he is in a state of free fall.

4. **Determine the Effective Weight in the Satellite**:
Since the astronaut is in a satellite that is in orbit, he does not experience the normal weight force acting on him. Instead, he experiences a sensation of weightlessness. Therefore, the effective weight of the astronaut inside the satellite is:
\[ W_{\text{effective}} = 0 \, \text{N} \]

5. **Conclusion**:
The astronaut feels weightless inside the satellite, meaning his effective weight is 0 N, even though his mass is still 60 kg.

### Final Answer:
The weight of the astronaut inside the satellite is 0 N.

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