CALIBRANT
Physics Formula Sheet 11th STD
5.Gravitation
LEGEND
Time period = T
Angular Velocity = 𝜔
Mass of earth = M
Mass of object = m
Universal Gravitational constant = G
Torque = 𝜏
Restoring torque per unit 𝜃 = K
Distance of a object from the centre of Earth = r
Acceleration due to gravity = g
Escape velocity = v𝑒
Horizontal velocity = vh
Critical velocity = vc
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, CALIBRANT
Physics Formula Sheet 11th STD
5.Gravitation
1. Kepler’s formula
T 2 r 3
a. T 𝟐 ∝ 𝑟 3 = ⌊T1 ⌋ = ⌊r1 ⌋
2 2
𝑑𝐴
b. Areal velocity , = constant
𝑑𝑡
A1 A2 A1 t1
= or =
t𝟏 t𝟐 A2 t2
2. Gravitational force between two bodies
Gm1 m2
a. 𝐹 =
r2
m1 m2
⃗ C.M = G
b. F (−r12 )
r2
3. Gravitational force between two equal masses
Gm2
F=
r2
4. Gravitational Constant
Fr 2
𝐺=
m1 m2
5. Acceleration due to gravity
GM
a. On the earth surface , g = R2
b. At a height h above the earth ,
GM R 2 2h
gh = 2
=g ( ) = g (1 − )
(R + h) R+h R
c. At a depth d below the earth
d
𝑔𝑑 = g (1 − )
R
www.calibrantclasses.in
Physics Formula Sheet 11th STD
5.Gravitation
LEGEND
Time period = T
Angular Velocity = 𝜔
Mass of earth = M
Mass of object = m
Universal Gravitational constant = G
Torque = 𝜏
Restoring torque per unit 𝜃 = K
Distance of a object from the centre of Earth = r
Acceleration due to gravity = g
Escape velocity = v𝑒
Horizontal velocity = vh
Critical velocity = vc
www.calibrantclasses.in
, CALIBRANT
Physics Formula Sheet 11th STD
5.Gravitation
1. Kepler’s formula
T 2 r 3
a. T 𝟐 ∝ 𝑟 3 = ⌊T1 ⌋ = ⌊r1 ⌋
2 2
𝑑𝐴
b. Areal velocity , = constant
𝑑𝑡
A1 A2 A1 t1
= or =
t𝟏 t𝟐 A2 t2
2. Gravitational force between two bodies
Gm1 m2
a. 𝐹 =
r2
m1 m2
⃗ C.M = G
b. F (−r12 )
r2
3. Gravitational force between two equal masses
Gm2
F=
r2
4. Gravitational Constant
Fr 2
𝐺=
m1 m2
5. Acceleration due to gravity
GM
a. On the earth surface , g = R2
b. At a height h above the earth ,
GM R 2 2h
gh = 2
=g ( ) = g (1 − )
(R + h) R+h R
c. At a depth d below the earth
d
𝑔𝑑 = g (1 − )
R
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