Q34 of 81 Page 225

What is the true weight of an object in a geostationary satellite that weighed exactly 10.0 N at the North Pole?

The weight of an object is inversely proportional to the square of the distance from the center.

Weight at north pole,


Weight of satellite at equator,


where h is the distance of the satellite from earth.


Now,



Given, . Height of the geostationary satellite,



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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.


 33

(a) Find the radius of the circular orbit of a satellite moving with an angular speed equal to the angular speed of earth’s rotation.

(b) If the satellite is directly above the North Pole at some instant, find the time it takes to come over the equatorial plane.


Mass of the earth = 6 × 1024 Kg.


 35

The radius of planet is R1 and a satellite revolves round it in a circle of radius R2. The time period of revolution is T. Find the acceleration due to the gravitation of the planet at its surface.

 36

Find the minimum colatitude which can directly receive a signal from a geostationary satellite.