Rockets

Question 1

What is the equation for the conservation of momentum after a rocket ejects dm of fuel at speed ve relative to the rocket?

Answer 1

mv = (m+dm)(v+dv) + (-dm)(v+dv-ve)

This beomes m dv = -ve dm

Question 2

What is the rocket equation?

Answer 2

v - v0 = Δv = ve * ln(m0/m)

Question 3

What is the equation for the thrust of a rocket?

Answer 3

F = m dv/dt = -ve dm/dt