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

Assertion: If the earth suddenly stops rotating about its axis, then the value of effective acceleration due to gravity $\left(g_{\mathrm{effective}}\right)$ will become the same at all the places. (Assume earth to be spherical)

Reason: The value of effective acceleration due to gravity $\left(g_{\mathrm{effective}}\right)$ is independent of the rotation of the earth.

A particle falls towards earth from infinity. Its velocity on reaching the earth would be:

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 _____$V_E$.

At what height above the earth's surface does the acceleration due to gravity fall to $1\%$ of its value at the earth's surface?

A planet has a mass $M_1$ and radius $R_1$. The value of acceleration due to gravity on its surface is $g_1$. There is another planet $2$, whose mass and radius both are two times that of the first planet. Which one of the following is the acceleration due to gravity on the surface of planet $2$?

Imagine a new planet having the same density as that of the earth but it is $3$ times bigger than the earth in size. If the acceleration due to gravity on the surface of the earth is $g$ and on the surface of the new planet is $g^{\text{'}}$, then

The time period of an earth satellite in circular orbit is independent of

A cosmonaut is orbiting earth in a spacecraft at an altitude $h=630 \mathrm{km}$ with a speed of $8 \mathrm{km} {\mathrm{s}}^{-1}$. If the radius of the earth is $6400 \mathrm{km}$, the acceleration of the cosmonaut is