GRAVITATION Set 5

The ratio of radii of earth to another planet is and the ratio of their mean densities is If an astronaut can jump to a maximum height of 1.5 m on the earth, with the same effort, the maximum height he can jump on the planet is

There are two planets. The ratio of radius of the two planets is but ratio of acceleration due to gravity of both planets is . What will be the ratio of their escape velocity

The binding energy of a satellite of mass in a orbit of radius is

Two satellites of mass and are orbiting a planet in orbit of radius . Their periods of revolution will be in the ratio of

At what depth below the surface of the earth, acceleration due to gravity will be half its value above the surface of the earth

If is the density of the planet, the time period of nearby satellite is given by

Two spheres of mass and are situated in air and the gravitational force between them is . The space around the masses is now filled with a liquid of specific gravity 3. The gravitational force will now be

For a body to escape from earth, angle at which it should be fired is?

If (instead of ), then the relation between time period of a satellite near earth's surface and radius will be

If the force inside the earth surface varies as , where is the distance of body from the centre of earth, then the value of will be