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.
Create a free account to view solution
View Solution FreeMore Gravitation Questions
A particle of mass m is upwards from the surface of the earth, with a velocity u. The mass and the radius of the earth a...When a satellite in a circular orbit around the Earth enters the atmospheric region, it encounters small air resistance ...The radii of circular orbits of two satellites A and B of the earth are 4R and R, respectively. If the speed of satellit...The atmospheric pressure and height of barometer column is 105 Pa and 760mm respectively on the Earth surface. If the ba...A particle of mass M is situated at the centre of a spherical shell of the same mass and radius a. The magnitude of the ...