# Gravitational Potential Energy

## Trending Questions

**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

- mgR4
- 2mgR3
- 3mgR4
- mgR4

**Q.**

How do we use gravitational energy in everyday life?

**Q.**

Water falls from a height of 100 m. Calculate the rise in temperature of water when it strikes the bottom. Given, Sw_{ }= 4200 Jkg−1 0C−1 and g = 10 m/s2.

0.273°C

0.360°C

0.238°C

1.258°C

**Q.**The gravitational potential energy above the surface of earth is

- mgh
- zero
- GMR2

**Q.**In a system of units energy E, density d, and power P, are taken as fundamental units then the dimensional formula of universal gravitational constant G, will be

**Q.**Assuming the radius of the earth as R, the change in gravitational potential energy of a body of mass m, where it is taken from the earth's surface to a height 3R above its surface is

- 23GMmR
- 34GMmR
- 3GMmR
- 32GMmR

**Q.**A body of mass m is moved to a height equal to the radius of the earth R. The increase in its potential energy is:

- GMmR
- 2GMmR
- 12GMmR
- 14GMmR

**Q.**

If one wants to remove all the mass of the earth to infinity in order to break it up completely. The amount of energy that needs to be supplied will be $\frac{x}{5}$$\frac{G{M}^{2}}{R}$ where x is __________. (Round off to the Nearest Integer). (M is the mass of the earth, R is the radius of the earth, and G is the gravitational constant)

**Q.**

A body of mass **m **rises to height$h=\frac{R}{5}$from the earths surface, where R is the earths radius. If **g **is the acceleration due to gravity at the earths surface, the increase in potential energy is

**Q.**

The potential at the surface of a planet of mass M and radius R is assumed to be zero. Choose the most appropriate option

Both (a) and (b) are correct

Both (a) and (b) are wrong

**Q.**

Escape velocity of a body on a planet is 100ms−1. What is the gravitational potential energy of the body at the surface, if the mass of the body is 1 kg?

- 2400 J

5000 J

- 5000 J

- 1000 J

**Q.**

A rocket is launched vertically from the surface of a planet with radius R. Rocket has an initial speed v. If atmospheric resistance is neglected, the maximum height attained by the rocket is given by________.

Take g=GMR2.

h=R(2gRv2−1)

h=R(2gRv2+1)

h=R(2gRv2−1)

h=R(2gRv2+1)

**Q.**

A body of mass is placed on the earth s surface. It is taken from the earth s surface to a height $h=3R$, R is the radius of earth. The change in gravitational potential energy of the body is

**Q.**

- 12.3kW
- 7.0kW
- 10.2kW
- 8.1kW

**Q.**15. Three point masses each of mass m are placed at the vertices of an equilateral triangle of side a. The gravitational potential due to these masses at the centroid of the triangle is??

**Q.**Gravitational potential of an object of mass m at a height h from the surface of earth, where h is comparable to the radius R of the earth is

- −GMmR+h
- GMmR+h
- \N

**Q.**

A rocket is launched vertically from the surface of the earth of radius R with an initial speed v. If atmospheric resistance is neglected, the maximum height attained by the rocket is given by

h=R(2gRv2−1)

h=R(2gRv2+1)

h=R(2gRv2−1)

h=R(2gRv2+1)

**Q.**An object is taken to height 2R above the surface of earth , the increase in potential energy is

- mgR2
- mgR3
- 2mgR3
- 2 mgR

**Q.**

Define gravitational potential energy.

**Q.**

What is gravitational potential energy?

**Q.**

Two bodies of equal weight are kept at heights of * h* and

*, respectively. The ratio of their P. E. is:*

**1.5 h**3:2

2:3

1:1

4:3

**Q.**Which of the following physical quantity of a planet that revolves around Sun in an elliptical orbit is constant?

- Angular momentum
- Kinetic energy
- Potential energy
- Linear velocity

**Q.**Gravitational potential energy is the energy possessed by an object due to its position.

- False
- True

**Q.**two balls of masses 3m and m are seperated by distance l.find the position of centre of mass

**Q.**Two concentric spherical shells have masses M

_{1}, M

_{2}and radii R

_{1}, R

_{2}(R

_{1}< R

_{2}). What is the force exerted by this system on a particle of mass m

_{1}if it is placed at a distance (R

_{1}+ R

_{2})/2 from the centre?