Question

A satellite orbits a planet, moving very close to its surface. By what maximum factor can its kinetic energy be increased suddenly, without change in direction, such that it still remains in orbit?

• A. 1.5
• B. Ö2
• C. 2
• D. 3

Answer 1

Answer: (C)

2

Answer 2

For an orbit close to planet's surface, $\frac{mv^{2}}{R}$=mg

For escape velocity, $v_{\max}^{2}$ = 2gR \ $\frac{v_{\max}^{2}}{v^{2}}$= 2