A body of mass m kg starts falling from ...

A body of mass m kg starts falling from a point 2R above the earth's surface. Its kinetic energy when its has fallen to a point 'R' above the earth's surface [R-Radius of earth M-mass of earth, G-gravitational constant]

`1/2(GMm)/R`

`1/6(GMm)/R`

`2/3(GMm)/R`

`1/3(GMm)/R`

Text Solution

Verified by Experts

The correct Answer is:

Law of conservation of energy
`(-GMm)/(3R)=(-GMm)/(2R)+1/2mv^2rArr1/2mv^2=(GMm)/(6R)`

Topper's Solved these Questions

GRAVITATION
ERRORLESS|Exercise NCERT BASED QUESTIONS (Motion of Satellite)|46 Videos
GRAVITATION
ERRORLESS|Exercise NCERT BASED QUESTIONS (Kepler’s Laws of Planetary Motion)|27 Videos
GRAVITATION
ERRORLESS|Exercise NCERT BASED QUESTIONS (Acceleration Due to Gravity)|39 Videos
FRICTION
ERRORLESS|Exercise ASSERTION & REASON |8 Videos
KINETIC THEORY OF GASES
ERRORLESS|Exercise ASSERTION AND REASON |16 Videos

Similar Questions

Explore conceptually related problems

A body of mass m kg starts falling from a distance 2R above the earth's surface. What is its kinetic energy when it has fallen to a distance 'R' above the earth's surface ? (where R is the radius of Earth)

A body of mass m kg falling from a distance 3R above the earth's surface. What is its kinetic enrgy when it reaches a distance 'R' above the surface of the earth of radius R and mass M ?

The change in potential energy when a body of mass m is raised to a height n R from the earth surface is (R = Radius of earth )

A body of mass m is thrown from a equal to radius of earth (R) from earth's surface. The change in potential energy when it reaches to a height equal to 2R from earth's surface is

Find work done in shifting a body of mass m from a height h above the earth's surface to a height 2h above the earth's surface.

If a body of mass m is raised to height 2 R from the earth s surface, then the change in potential energy of the body is (R is the radius of earth)

The kinetic energy needed to project a body of mass m from the earth surface (radius R) to infinity is

The height of the point vertically above the earth's surface, at which acceleration due to gravtiy becomes 1% of its value at the surface is (Radius of the earth =R)

Gravitational potential energy of body of mass m at a height of h above the surface of earth (M = mass of earth , R = radius of earth) is

ERRORLESS-GRAVITATION-NCERT BASED QUESTIONS (Gravitation Potential, Energy and Escape Velocity)

Find the potential energy of 4-particles, each of mass 1 kg placed at ...
Text Solution
|
An artificial satellite moving in a circular orbit around the earth ha...
Text Solution
|
A body of mass m kg starts falling from a point 2R above the earth's s...
Text Solution
|
The change in the gravitational potential energy when a body of a mass...
Text Solution
|
A body of mass m is taken from earth surface to the height h equal to ...
Text Solution
|
The curves for potential energy ( U ) and kinetic energy (E(k)) of a t...
Text Solution
|
A rocket is fired from inside a deep mine, so as to escape the earth’s...
Text Solution
|
A particle falls towards the earth from inifinity. The velocity with w...
Text Solution
|
The escape velocity for a rocket from earth is 11.2 km / sec . Its val...
Text Solution
|
An artificial satellite moving in a circular orbit around the earth wi...
Text Solution
|
The escape velocity of a planet having mass 6 times and radius 2 times...
Text Solution
|
There are two planets. The ratio of radius of two planets is k but rat...
Text Solution
|
Given mass of the moon is 1/81 of the mass of the earth and correspond...
Text Solution
|
The angular velocity of rotation of star (of mass M and radius R ) at ...
Text Solution
|
The earth is assumed to be a sphere of raduis R. A platform is arrange...
Text Solution
|
The escape speed of a particle on the surface of the earth is 11.2km/s...
Text Solution
|
Escape velocity on the earth
Text Solution
|
The escape velocity for a body projected vertically upwards from the s...
Text Solution
|
The ratio of the radii of planets A and B is k(1) and ratio of acceler...
Text Solution
|
A mass of 6xx10^(24) kg is to be compressed in a sphere in such a way ...
Text Solution
|