Suppose the escape velocity of Planet A is 10 km/s.What would be the escape velocity of a Planet B,which is twice as massive and has the same size as Planet A?
A)7 km/s
B)10 km/s
C)14 km/s
D)20 km/s

Question

Quizplus · Accepted Answer

Escape velocity is directly proportional to the mass of the planet and inversely proportional to its radius. Since Planet B is twice as massive as Planet A but has the same size, its escape velocity would be √(2) times the escape velocity of Planet A. Therefore, the escape velocity of Planet B would be 10 km/s * √(2) = 14 km/s (approx).

Suppose the Escape Velocity of Planet a Is 10 Km/s