GravitationHard
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. Them
Options
A.the acceleration of is always directed towers the centre of the earth
B.the angular momentum of S about the centre of the earth changes in direction, but its magnitude remains constant
C.the total mechanical energy of S varies periodically with time
D.the linear momentum of S remains constant in magntude
Solution
Force on satellite is always directed towerds earth, So, acceleration of satellite S is always directed towards centre of earth.Net torque of this gratational force F about earth zero. Therefore, angular momentum (both in magnitude and direction) of S about centreof earth is constant throughout.
Since, of force F is conservative in nature, Therefore, Mechanlcal enegry of satllite remains constant speed of S is maximum when it is meast to earth and minimum when it is farthest.
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