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MHT-CET : Physics Entrance Exam

MHT - CET : Physics - Gravitation Formulae Page 1

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1. Newton's Law of Gravitation

 

F = 

Gm1m2

 

r2

Where

F - gravitational force of attraction
m1, m2 - masses of the bodies
r - distance between bodies
G
- gravitational constant

 

2. Acceleration Due to Gravity

a)

g = 

GM

 

R2

Where, 

g - acceleration due to gravity at the surface
M
- mass of the earth
R
- radius of the earth

 

b)

g' = 

GM

 

(R + h)2

Where, 

g' - acceleration due to gravity at a height h above the surface of the earth

 

c)

g' = g

R

2

 

(R + h)

 

 

3. Critical Velocity

a)

Vc =

 

 

b)

Vc =

 

c)

Vc =

 

d)

Vc =

2R

Where, r - mean density of the earth.

 

4. Time Period

a)

T =

 

 

b)

T2 a r3

Where, r - radius of the orbit of the satellite.

 

5. Binding Energy

a)

B.E. =

GMm

R

When body is at rest on the surface of the earth.

 

b)

B.E. =

GMm

 

2(R + h)

Binding energy of the satellite.

 

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