Gravitation

Question 1

Gravitational field intensity of solid sphere outside the sphere

Answer 1

GM/r²

Question 2

Gravitational field intensity of solid sphere at the surface

Answer 2

GM/R²

Question 3

Gravitational field intensity of solid sphere inside the sphere

Answer 3

GMr/R². 4/3GM§πr

Question 4

Gravitational field intensity of hallow sphere outside the shell

Answer 4

GM/r²

Question 5

Gravitational field intensity of hollow sphere on the surface and inside

Answer 5

On the surface - GM/R²
Inside -0

Question 6

Acceleration due to gravity

Answer 6

g = GMe/Re

Question 7

Acceleration due to gravity
(Variation of g with height)

Answer 7

g / [ 1-h/Re]²

Question 8

Acceleration due to gravity
( Dur to depth)

Answer 8

g [1-d/Re]
G§4/3πr

Question 9

Acceleration due to gravity
( Due to shape of earth)

Answer 9

Gpole is greater than Gequator

Question 10

Acceleration due to gravity
( Due to rotation of earth)

Answer 10

g-w²Recos²^

Question 11

Gravitational Potential Energy (U)

Answer 11

-GMm/r

Question 12

Change in potential energy of a mass when raised to height above Earth’s surface

Answer 12

mgh / [1+h/Re]

Question 13

Potential energy
Maximum height

Answer 13

H = v²/2g [1+h/Re]

Question 14

Potential energy
Velocity

Answer 14

√2gh/1+h/Re

Question 15

Gravitational Potential (V)

Answer 15

GM/r

Question 16

Gravitational Potential
1Outside
2Surface
3Inside

Answer 16

1 -GM/r
2 -GM/R
3 -GM(3R²-r²) /2R³

Question 17

Gravitational Potential of hollow spgere
1 inside
2 outside
3 surface

Answer 17

1 constant
2 -GM/r
3 -GM/R

Question 18

Escape velocity

Answer 18

1/2mv² = GMm/R

Ve = √2GM/R