Question 23M.1.HL.TZ1.32

The escape speed from the surface of earth is v_esc. The radius of earth is R. A satellite of mass m is in orbit at a height $\frac{R}{4}$ above the surface of the Earth. What is the energy required to move the satellite to infinity?

A.  $\frac{\mathrm{m}{v^2}_{\mathrm{esc}}}{5}$

B.  $\frac{2\mathrm{m}{v^2}_{\mathrm{esc}}}{5}$

C.  $\mathrm{m}{v^2}_{\mathrm{esc}}$

D.  $2\mathrm{m}{v^2}_{\mathrm{esc}}$