A satellite S is moving in an elliptical orbit around earth. mass of satellite is very small compare

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7.Gravitation

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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

the acceleration of $S$ is always directed towards the centre of the earth

the angular momentum of $S$ about the centre of the earth changes in direction, but its magnitude remains constant

the total mechanical energy of $S$ varies periodically with time

the linear momentum of $S$ remains constant in magnitude

Solution

As we know that, the force on satellite is an only gravitational force which will always be towards the centre of the earth. Thus, the acceleration is $S$ is always directed towards the centre of the earth

Standard 11

Physics

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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

Solution

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A body of mass $m$ is lifted up from the surface of the earth to a height three times the radius of the earth. The change in potential energy of the body is

where $g$ is acceleration due to gravity at the surface of earth.