Question -
Answer -
Initial velocity of the rocket, v =2 km/s = 2 × 103 m/s
Mass of Mars, M = 6.4 × 1023 kg
Radius of Mars, R = 3395 km= 3.395 × 106 m
Universal gravitational constant, G = 6.67×10–11 N m2 kg–2
Mass of the rocket = m
Initialkinetic energy of the rocket = 
Initial potential energy of the rocket
Total initial energy
If 20 % of initial kineticenergy is lost due to Martian atmospheric resistance, then only 80 % of itskinetic energy helps in reaching a height.
Totalinitial energy available 
Maximum height reached by the rocket = h
At this height, thevelocity and hence, the kinetic energy of the rocket will become zero.
Totalenergy of the rocket at height h 
Applying the law ofconservation of energy for the rocket, we can write:
