An artificial satellite relolves around a planet for which gravitational force (F) varies with distance r from its centres as `F prop r^(2)` If `v_(0)` its orbital speed , then

Two satellite of mass m and 2 m are revolving in two circular orbits of radius r and 2r around an imaginary planet , on the surface of with gravitational force is inversely proportional to distance from its centre . The ratio of orbital speed of satellite is .

An artificial satellite revolves around a planet in circular orbit close to its surface. Obtain the formula for period of the satellite in terms of density U and radius R of planet.

The orbital speed of a satellite revolving around a planet in a circular orbit is v_(0) . If its speed is increased by 10 % ,then

The orbital speed of a satellite revolving around a planet in a circular orbit is v_(0) . If its speed is increased by 10 % ,then

An artificial satellite is revolving around the earth in a circular orbit of radius r. If the time period of revolution of the satellite is T, show that T^2 prop r^3 .

A light satellite is initially rotating around a planet in a circular orbit of radius r. Its speed in this circular orbit was u_(0) . It is put in an elliptical orbit by increasing its speed form u_(0) " to " v_(Q) ( instantaneously). In the elliptical orbit, the satellite reaches the farthest point P, which is at a distance R from the planet. Satellite's speed at farthest point is v_(P) . At point Q, the speed required by satellite to escape the planet's gravitational pull is v_("esc")

A satellite is revolving around earth in a circular orbit at a uniform speed v . If gravitational force suddenly disappears , speed of the satellite will be

A satellite is revolving around earth in a circular orbit at a uniform speed v . If gravitational force suddenly disappears , speed of the satellite will be

An artificial satellite is orbiting around the earth with the speed of 4 km s^(-1) at a distance of 10^4 km from the earth. Calculate its centripetal acceleration.