Q. 32

A satellite of mass 1000 kg is supposed to orbit the earth at a height of 2000 Km above the earth’s surface. Find

(a) Its speed in the orbit.

(b) Its kinetic energy.

(c) The potential energy of the earth-satellite system and

(d) Its time period. Mass of the earth = 6 × 1024 Kg.

Answer :

(a) Here, the radius of the orbit is

Therefore, the speed is given by

(b) The kinetic energy is given by,

Here, mass of the satellite is

(c) Here, the potential energy at infinity is zero. Hence, the potential energy at a radius is

(d) Time period is given by

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