An orbiting satellite will escape if |
its speed is increased by 41% its speed in the orbit is increased to $\sqrt{1.5}$ times its initial value its kinetic energy is doubled if it stops moving in the orbit |
its kinetic energy is doubled |
$v_e=\sqrt{\frac{2 G m}{r}}, v_0=\sqrt{\frac{G m}{r}}$, $\frac{v_e-v_0}{v_e}=\frac{v_2-1}{1}$ = 0.41 or 41 % $\frac{KE_2}{KE_1}=\left(\frac{v_{e}}{V_0}\right)^2=2$ ⇒ KE is doubled |