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Get Answers to all your Questions
A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of the earth. Then,
- Option 1)
the total mechanical energy of S varies periodically with time.
- Option 2)
the linear momentum of S remains constant in magnitude.
- Option 3)
the acceleration of S is always directed towards the centre of the earth.
- Option 4)
the angular momentum of S about the centre of the earth changes in direction, but its magnitude remains constant.
Answers (1)
As we learnt in
Orbital velocity when satellite is close to earth -
Orbital velocity
Radius of Earth
- wherein
As and
The motion of satellite is due to force applied by the earth on satellite and hence its acceleration is always towards centre of the earth . Angular momentum and total energy of satellite is conserved. Linear momentum is not constant.
Option 1)
the total mechanical energy of S varies periodically with time.
This is incorrect answer
Option 2)
the linear momentum of S remains constant in magnitude.
This is incorrect answer
Option 3)
the acceleration of S is always directed towards the centre of the earth.
This is correct answer
Option 4)
the angular momentum of S about the centre of the earth changes in direction, but its magnitude remains constant.
This is incorrect answer
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