Question

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 :

• A. The acceleration of S always directed towards the centre of the earth
• B. The angular momentum of S about the cente of the earth changes in direction,but its magnitude remain constant
• C. The total mechanical energy of S varies periodically with time
• D. The linear momentum of S remains constant in magnitude

Answer 1

The correct option is A

The acceleration of S always directed towards the centre of the earth

Force on satellite is always towards earth, therefore, acceleratio of satellite S is always directed towards, centre of the earth. Net torque of this gravitational force F about centre of earth is zero. therefore, angular

momentum (both in magnitude and direction) of S about centre of earth is constant throughout. Since, the force F is conservative in nature, therefore mechanical energy of satellite remains constant. speed of S is

maximum when it is nearest to earth and minimum when it is farthest.