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A satellite is orbiting around the earth...

A satellite is orbiting around the earth. If both gravitational force and centripetal force on the satellite is `F`, then, net force acting on the satellite to revolve around the earth is

A

`F//2`

B

`F`

C

`2F`

D

zero

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The correct Answer is:
To solve the problem, we need to analyze the forces acting on a satellite that is in orbit around the Earth. The question states that both the gravitational force and the centripetal force on the satellite are equal to \( F \). We need to find the net force acting on the satellite as it revolves around the Earth. ### Step-by-Step Solution: 1. **Understanding the Forces:** - The gravitational force (\( F_g \)) acting on the satellite is given by the formula: \[ F_g = \frac{G M m}{r^2} \] where \( G \) is the gravitational constant, \( M \) is the mass of the Earth, \( m \) is the mass of the satellite, and \( r \) is the distance from the center of the Earth to the satellite. 2. **Centripetal Force Requirement:** - For the satellite to remain in a circular orbit, a centripetal force (\( F_c \)) is required, which is provided by the gravitational force. The centripetal force is given by: \[ F_c = \frac{m v^2}{r} \] where \( v \) is the orbital speed of the satellite. 3. **Equating the Forces:** - Since it is given that both the gravitational force and the centripetal force are equal to \( F \): \[ F_g = F_c = F \] 4. **Net Force Calculation:** - In the context of circular motion, the net force acting on the satellite is the centripetal force, which is directed towards the center of the Earth. Since the gravitational force provides this centripetal force, we can conclude: \[ \text{Net Force} = F_c = F \] 5. **Conclusion:** - Therefore, the net force acting on the satellite as it revolves around the Earth is equal to \( F \). ### Final Answer: The net force acting on the satellite to revolve around the Earth is \( F \). ---

To solve the problem, we need to analyze the forces acting on a satellite that is in orbit around the Earth. The question states that both the gravitational force and the centripetal force on the satellite are equal to \( F \). We need to find the net force acting on the satellite as it revolves around the Earth. ### Step-by-Step Solution: 1. **Understanding the Forces:** - The gravitational force (\( F_g \)) acting on the satellite is given by the formula: \[ F_g = \frac{G M m}{r^2} ...
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