1- Chapter 11 - Gravity n space

Question 1

F=

Answer 1

dm/dt v + m dv/dt

Question 2

momentum =

Answer 2

mv

Question 3

force (momentum one) =

Answer 3

Change in momentum /Time

Question 4

seperation speed equation

Answer 4

speed of seperation/ speed of approch = e

Question 5

impulse=

Answer 5

Force x Time (= change in momentum)

Question 6

What is retrograde motion and why

Answer 6

Orbits appearing to do tiny loops witing their orbit.

Caused by differeing speeds of orbit.

Question 7

ORbit time and radius equation

Answer 7

T² is proportional to R³

Question 8

a (circular motion) =

Answer 8

v²/r = rω²

Question 9

v (circular motion) =

Answer 9

rω

Question 10

Gravitational force =

Answer 10

• GMm/r²

= mg

= E/r (potential energy)

Question 11

Gravitational field strength (force per unit mass)=

Answer 11

• GM/r²

F/m

V/r (-dv/dr)

Question 12

Gravitational potential energy =

Answer 12

• GMm/r

=Fr

=Vm

Question 13

Gravitational potential (potential energy per unit mass)=

Answer 13

• GM/r

=gr

=E/m

Question 14

FInd radius of orbit?

Answer 14

1. mv²/r = F = GMm/r²
2. v=2πr/T

Then rearange

Question 15

Finiding mass of orbiting objects

Answer 15

GM/r² = g = a =v²/r

M=v²r/G

Speed from dopler measurements

Radius from speed and orbit times

Question 16

What is needed for escape velocity?

Answer 16

GPE=KE

-GMm/r = 1/2mv²