D. C. Pandey Solutions for Chapter: Gravitation, Exercise 1: Objective Problems

Suppose a smooth tunnel is dug along a straight line joining two points on the surface of the earth and a particle is dropped from rest at its one end. Assume that mass of the earth is uniformly distributed over its volume. Then,

A planet is revolving round the sun in an elliptical orbit, If $v$ is the velocity of the planet when its position vector from the sun is $r$,  then areal velocity of the planet is

The magnitude of the gravitational potential energy of a body at a distance $r$ from the centre of the earth is $u$. Its weight at a distance $2r$ from the centre of the earth is

Two satellites of same mass are launched in the same orbit around the earth so as to rotate opposites to each other. If they collide inelastically and stick together as wreckage, the total energy of the system just after collision is

Earth orbiting the satellite will escape, if

A planet of mass $m$ is in an elliptical orbit about the sun with an orbital period $T$. If $A$ be the area of orbit, then its angular momentum would be

What additional velocity must be given to a satellite orbiting around earth with radius $R$ to become free from the earth's gravitational field? Mass of earth is $M$.

What impulse need to be given to a body of mass $m$ released from the surface of earth along a straight tunnel passing through centre of earth, at the centre of earth, to bring it to rest? (Mass of earth $M$ radius of earth $R$ ).