Gravity

Question 1

Force of Gravity

Answer 1

F_g = GMm/r^2

Question 2

Gravitational Acceleration

Answer 2

g = GM/r^2

Question 3

Gravitational Potential Energy

Answer 3

U = -GMm/r

Question 4

Escape Velocity

Answer 4

v = sqrt(2GM/r)

Question 5

Kepler’s Laws

Answer 5

1) Two bodies orbit each other elliptically
2) Equal areas in equal times
3) T^2 = (4(pi^2)/GM’) a^3, where a is the semi major axis, M’ is the sum of the masses

Question 6

Energy of a circular orbit

Answer 6

-GMm/2a

Question 7

Vis-Viva Equation

Answer 7

v = sqrt(GM(2/r - 1/a)), r is the distance between the centres of mass, a is the semi major axis