CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Potential energy

A body of mas...

Question

A body of mass m is taken to a height kR from the surface of the earth very slowly, R being the radius of the earth. Find the change in gravitational Potential Energy in this process.

Open in App

Solution

$P o t e n t i a l e n e r g y a t t h e s u r f a c e o f t h e a r t h i s - \frac{G M m}{R} w h e r e R i s t h e r a d i u s o f t h e e a r t h M i s t h e m a s s o f t h e e a r t h m i s t h e m a s s o f t h e o b j e c t . P o t e n t i a l e n e r g y a t h e i g h t h = k R i s g i v e n b y : P E = - \frac{G M m}{K R} c h a n g e i n p o t e n t i a l e n e r g y = - \frac{G M m}{K R} + - \frac{G M m}{R} = \frac{G M m}{R} [1 - \frac{1}{k}] = \frac{G M m}{R} [\frac{1 - k}{k}]$

Suggest Corrections

thumbs-up

0

Similar questions

Q. A body of mass

m

is raised from the surface of the earth to a height

n R

R

-radius of earth). Magnitude of the change in the gravitational potential energy of the body is (

g

- acceleration due to gravity on the surface of earth) :

Q. A body of mass 'm' is raised from the surface of the earth to a height 'nR' (R- radius of earth). Magnitude of the change in the gravitational potential energy of the body is (g-acceleration due to gravity on the surface of earth)

Q. A body of mass

m

is taken from earth's surface to the height equal to the radius of earth, the change in potential energy will be of

Q. The change in the gravitational potential energy when a body of mass m is raised to a height nR above the surface of the earth is (here, R is the radius of the earth)

Q. A body of mass m is placed on earth surface is taken to a height of h = 3R, then change in gravitational potential energy is

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Potential Energy

PHYSICS

Watch in App

explore_more_icon

Explore more

Potential energy

Standard IX Physics

Join BYJU'S Learning Program

CrossIcon