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The centripetal force on a satellite orb...

The centripetal force on a satellite orbiting round the earth and the gravitational force of earth acting on the satellite both equal F. The net force on the satellite is

A

zero

B

F

C

`F sqrt(2)`

D

2 F

Text Solution

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The correct Answer is:
To solve the problem, we need to analyze the forces acting on a satellite that is orbiting the Earth. ### Step-by-Step Solution: 1. **Understanding Forces Acting on the Satellite**: - The satellite experiences two main forces: the gravitational force exerted by the Earth and the centripetal force required for circular motion. 2. **Identifying the Forces**: - According to the problem, both the gravitational force (F_gravity) and the centripetal force (F_centripetal) acting on the satellite are equal to F. - Mathematically, we can express this as: \[ F_{gravity} = F \quad \text{and} \quad F_{centripetal} = F \] 3. **Relationship Between Forces**: - In the case of a satellite in orbit, the gravitational force is what provides the necessary centripetal force for the satellite to maintain its circular motion. Thus, we can say: \[ F_{gravity} = F_{centripetal} \] 4. **Net Force Calculation**: - Since both forces are equal and act in the same direction (the gravitational force pulls the satellite towards the center of the Earth), the net force acting on the satellite is simply the gravitational force, which is also equal to the centripetal force. - Therefore, the net force (F_net) on the satellite can be expressed as: \[ F_{net} = F \] 5. **Conclusion**: - The net force on the satellite is equal to F. ### Final Answer: The net force on the satellite is \( F \). ---

To solve the problem, we need to analyze the forces acting on a satellite that is orbiting the Earth. ### Step-by-Step Solution: 1. **Understanding Forces Acting on the Satellite**: - The satellite experiences two main forces: the gravitational force exerted by the Earth and the centripetal force required for circular motion. 2. **Identifying the Forces**: ...
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