- Messages
- 260
- Reaction score
- 104
- Points
- 53
Use change in gravitational potential times mass.CAN ANYONE SOLVE THIS ONE..
M/J 2006 (Paper 4)
Question (1)
b(i) Show that, for the rocket to travel from a height R to a height 2R above the planet’s
surface, the change ΔE(p.e) in the magnitude of the gravitational potential energy of
the rocket is given by the expression
ΔE(p.e) = GMm/6R
At height R, distance to Earth's centre is 2R. phi = -GM/2R
At height 2R, distance is 3R. phi = -GM/3R
Change in phi = -GM/3R - (-GM/2R) = GM/6R
ΔE(p.e) = Δphi × mass = GMm/6R