Embibe Experts Solutions for Chapter: Gravitation, Exercise 2: Exercise - 2

A planet revolving around sun in an elliptical orbit has a constant

A satellite close to the earth is in orbit above the equator with a period of revolution of $1.5 \mathrm{h}$. If it is above a point $P$ on the equator at some time, it will be above $P$ again after time

An object is weighed at the equator by a beam balance and a spring balance, giving readings $W_{\mathrm{b}}$ and $W_{\mathrm{s}}$, respectively. It is again weighed in the same manner at the north pole giving readings of $W_{\mathrm{b}}\text{'}$ and $W_{\mathrm{s}}\text{'}$, respectively. Assume that intensity of earth gravitational field is the same every where on the earth’s surface and that the balances are quite sensitive.

If a body is projected with speed lesser than escape velocity:

A double star is a system of two stars of masses $m$ and $2m$, rotating about their centre of mass only under their mutual gravitational attraction. If $r$ is the separation between these two stars then their time period of rotation about their centre of mass will be proportional to 

An orbiting satellite in circular orbit will escape if:

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

In case of earth: