Gravitation Flashcards
1
Q
Intensity I =
A
GM/r^2
2
Q
For solid sphere I =
A
GMr/R^3
3
Q
Acc due to gravity g
A
GM/R^2 (at surf)
4
Q
At height h, g` =
A
g/(1+h/R)^2
if h«R, g` = g(1-2h/R)
5
Q
At depth d, g` =
A
g(1-d/R)
6
Q
At center, d =
A
R
7
Q
Due to rotation of earth, g` =
A
g - ω^2Rcos^2λ
8
Q
For solid sphere, V =
A
V(out) = -GM/r
V(on) = -GM/R
V(in) = -GM(3R^2 - r^2)/2R^3
9
Q
Hollow sphere, V
A
V(out) = -GM/r
V(surf) = -GM/R
V(in) = -GM/R
10
Q
Escape speed V(e) =
A
√2GM/R
11
Q
Orbital velocity for satellites
A
V(o) = √GM/r
12
Q
KE =
A
GMm/2r
13
Q
PE =
A
-2KE
