If g is acceleration due to gravity on earth's surface, gain in potential energy of an object of

English

Gujarati

Hindi

7.Gravitation

normal

If $g$ is the acceleration due to gravity on the earth's surface, the gain in the potential energy of an object of mass $m$ raised from the surface of the earth to a height equal to the radius $R$ of the earth, is

A

$2\,mgR$

B

$\frac{1}{2}\,mgR$

C

$\frac{1}{4}\,mgR$

D

$mgR$

Solution

$\Delta U = – \frac{{mgR}}{2} – \left( { – mgR} \right) = \frac{{mgR}}{2}$

Standard 11

Physics

Share

Similar Questions

The Earth is assumed to be a sphere of radius $R$. A platform is arranged at a height $R$ from the surface of the Earth. The escape velocity of a body from this platform is $fv$, where $v$ is its escape velocity from the surface of the Earth. the value of $f$ is

normal

In a satellite if the time of revolution is $T$, then $K.E.$ is proportional to

normal

Figure shows the orbit of a planet $P$ round the sun $S.$ $AB$ and $CD$ are the minor and major axes of the ellipse.

If $t_1$ is the time taken by the planet to travel along $ACB$ and $t_2$ the time along $BDA,$ then

normal

A small ball of mass $'m'$ is released at a height $'R'$ above the Earth surface, as shown in the figure. If the maximum depth of the ball to which it goes is $R/2$ inside the Earth through a narrow grove before coming to rest momentarily. The grove, contain an ideal spring of spring constant $K$ and natural length $R,$ the value of $K$ is ( $R$ is radius of Earth and $M$ mass of Earth)

normal

A body weighs $72\, N$ on the surface of the earth. What is the gravitational force(in $N$) on it, at a helght equal to half the radius of the earth$?$

normal