Embibe Experts Solutions for Chapter: Gravitation, Exercise 1: Exercise-1

Time period of revolution of a satellite around a planet of radius $R$ is $T$. Period of revolution around another planet, whose radius is $3R$ but having same density is 

A spherical planet far out in space has a mass $M_0$ and diameter $D_0$. A particle will experience an acceleration due to gravity which is equal to

In case of an orbiting satellite if the radius of orbit is decreased :

A particle of mass $10 \mathrm{kg}$ is kept on the surface of a uniform sphere of mass $100 \mathrm{kg}$ and radius $10 \mathrm{cm}$. Find the work to be done against the gravitational force between them, to take the particle far away from the sphere (you may take $G=6.67\times {10}^{-11} {\mathrm{Nm}}^2 {\mathrm{kg}}^{-2}$)

The distance of Neptune and Saturn from sun are nearly ${10}^{13}$ and ${10}^{12}$ metres, respectively. Assuming that they move in circular orbits, their periodic times will be in the ratio 

The ratio of the distance of two planets from the sun is $1.38$. The ratio of their period of revolution around the sun is -

In an elliptical orbit under gravitational force, in general

If a ball is thrown upwards from the surface of earth and during upward motion, then