A rocket is fired ‘vertically’ from the surface of mars wi...
Initial velocity of the rocket , v = 2 km/s = 2 x 103 m/s
Mass of mars, M = 6.4 x 1023 kg
Radius of Mars, R = 3395 km = 3.395 x 106 m
universe gravitational constant, G = 6.67 x 10-11 Nm2 kg-2
Initial kinetic energy of the rocket
Initial potential energy of the rocket
Total initial energy
If 20% of initial kinetic energy is lost due to martian atmospheric resistance, then only
80% of its kinetic energy helps in reaching a height.
Total initial energy available
Maximum height reached by the rocket = h
at this height, the velocity and hence,
the kinetic energy of the rocket will become zero
Total energy of the rocket at height h
Applying the law of conservation of energy for the rocket, we can write :