Embibe Experts Solutions for Chapter: Gravitation, Exercise 3: BEGINNER'S BOX - 3

The gravitational acceleration on the surface of earth is g. Find the increase in potential energy in lifting an object of mass m to a height equal to the radius of earth.

In a certain region of space gravitational field is given by I = – (K/r) (Where r is the distance from a fixed point and K is constant). Taking the reference point to be at r = r₀ with V = V₀. Find the potential at a distance r.

Two masses of 10² kg and 10³ kg are separated by 1 m distance. Find the gravitational potential at the mid point of the line joining them.

The magnitude of the intensity of the gravitational field at a point situated at a distance $8000 \mathrm{km}$ from the centre of earth is $6.0 \mathrm{N} \mathrm{kg}$. The magnitude of the gravitational potential at that point in $\mathrm{N} \mathrm{m} {\mathrm{kg}}^{-1}$ will be:

The gravitational field due to a mass distribution is, $E=\frac{K}{x^3}$ in the $x$-direction. Here,$K$ is a constant. Taking the gravitational potential to be zero at infinity, its value at a distance $x$ is,

A body of mass $m$ is situated at distance $4R_e$ above the earth's surface, where $R_{\mathit{e}}$ is the radius of earth how much minimum energy be given to the body so that it may escape :-