Concepts Of Physics MCQ Edition [Volume 1]PhysicsGravitation
Suppose a planet is travelling in an elliptical orbit around the sun. The work done on the planet by the sun's gravitational force
Options
- Ais zero for one full revolution
- Bis zero along any small segment of the orbit
- Cis zero in no portion of the motion
- Dis zero during certain parts of the orbit
Correct answer
D. is zero during certain parts of the orbit
Step-by-step solution
The gravitational force exerted by the sun on a planet is a central and conservative force. For any conservative force, the work done over a closed path is zero. Since one full revolution corresponds to a closed path, the total work done on the planet during one complete revolution is zero. Thus, option (1) is correct. The work done by the gravitational force over a small displacement d r is given by dW = F d r . In an elliptical orbit, the angle between the gravitational force and the velocity vector is generally