If a nut becomes loose and gets detached from a satellite revolving around the earth, will it fall down to the earth or will it revolve in the same orbit as the satellite ? Give reason for your answer.

Explanation

To solve the question of whether a nut that becomes loose from a satellite will fall to the Earth or continue to revolve in the same orbit as the satellite, we can break it down into the following steps:

### Step-by-Step Solution:

1. **Understanding the Situation**:
- Visualize the satellite orbiting the Earth at a certain height. The Earth has a radius \( R \), and the satellite is at a distance \( h \) above the Earth's surface. Therefore, the total distance from the center of the Earth to the satellite is \( r = R + h \).

2. **Orbital Velocity**:
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