Question

1 A spaceship of mass mo moves in the absence of external
forces with a constant velocity vo. To change the motion direction,
a jet engine is switched on. It starts ejecting a gas jet with velocity u
which is constant relative to the spaceship and directed at right
angles to the spaceship motion. The engine is shut down when the
mass of the spaceship decreases to m. Through what angle a did the
motion direction of the spaceship deviate due to the jet engine operation?
2 At what distance from the centre of the Moon is the point
at which the strength of the resultant of the Earth's and Moon's
gravitational fields is equal to zero? The Earth's mass is assumed to
be 11 = 81 times that of the Moon, and the distance between the centres of these planets n = 60 times greater than the radius of the Earth
R.
3. What is the minimum work that has to be performed to
bring a spaceship of mass m = 2.0.103 kg from the surface of the Earth
to the Moon?

Answer 1