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Gravitational Potential Energy
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Gravitational potential energy due to co...
Gravitational potential energy due to continuous mass system
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REVISE WITH CONCEPTS
Gravitational Potential Energy
Example
Definitions
Formulaes
>
Gravitational Potential Energy of a System of Continuous Masses
Example
Definitions
Formulaes
>
QUICK SUMMARY WITH STORIES
Introduction to Gravitational Potential
3 mins
Gravitational Potential due to Point Mass
2 mins
Potential Energy of a System of Continuous Masses
2 mins
Important Questions
Two bodies of masses
m
and
4
m
are placed at a distance
r
.
The gravitational potential at a point on the line joining them where the gravitational field is zero is :
Medium
JEE Mains
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>
At what height from the surface of earth the gravitation potential and the value of
g
are
−
5
.
4
×
1
0
7
J
k
g
−
2
and
6
.
0
m
s
−
2
respectively? Take the radius of earth as
6
4
0
0
k
m
.
Medium
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>
A particle of mass
M
is situated at the centre of spherical shell of same mass and radius
a
. The magnitude of the gravitational potential at a point situated at
a
/
2
distance from the centre, will be
Medium
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>
Energy required to move a body of mass m from an orbit of radius 2R to 3R is:
Medium
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>
A body of mass 'm' is taken from the earth's surface to the height equal to twice the radius (R) of the earth.
The change in potential energy of body will be -
Medium
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>
Infinite number of bodies, each of mass
2
k
g
, are situated on
x
−
a
x
i
s
at distance
1
m
,
2
m
,
4
m
,
8
m
,
.
.
.
.
.
.
.
respectively, from the origin. The resulting gravitational potential due to this system at the origin will be
Hard
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>
Define gravitational potential energy. Derive expression for gravitational potential in the gravitational field of earth at distance
r
from the centre of the earth.
Medium
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>
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
Medium
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>
From a solid sphere of mass
M
and radius
R
a spherical portion of radius
2
R
is removed, as shown in the figure. Taking gravitational potential
V
=
0
at
r
=
∞
, the potential at the centre of the cavity thus formed is :
(
G
=
gravitational constant).
Medium
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>
Gravitational potential difference between surface of a planet and a point situated at a height of
2
0
m
above its surface is
2
j
o
u
l
e
/
k
g
. If gravitational field is uniform, then the work done in taking a
5
k
g
body of height
4
meter above surface will be :-
Medium
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>