Embibe Experts Solutions for Chapter: Gravitation, Exercise 1: KCET (UG) 2021

If radius of the Earth contracts by $2\%$ and its mass remains the same, then the weight of a body at the Earth's surface

Two bodies of masses $8 \mathrm{kg}$ are placed at the vertices $A$ and $B$ of an equilateral triangle $ABC.$ A third body of mas $2 \mathrm{kg}$ is placed at the centroid $G$ of the triangle. If $AG=BG=CG=1 \mathrm{m}$, where should a fourth body of mass $4 \mathrm{kg}$ be placed so that the resultant force on the $2 \mathrm{kg}$ body is zero?

The value of acceleration due to gravity at a height of $10 \mathrm{km}$ from the surface of earth is $x$. At what depth inside the earth is the value of the acceleration due to gravity has the same value $x$?

A mass '$m$' on the surface of the Earth is shifted to a target equal to the radius of the Earth. If '$R$' is the radius and '$M$' is the mass of the Earth, then work done in this process is:

A space station is at a height equal to the radius of the Earth. If '$V_E$' is the escape velocity on the surface of the Earth, the same on the space station is _____$V_E$.

A satellite is orbiting close to the earth and has a kinetic energy $K$. The minimum extra kinetic energy required by it to just overcome the gravitation pull of the earth is