Question

If the kinetic energy of a satellite orbiting around the earth is doubled then

• A. the satellite will escape into the space.
• B. the satellite will fall down on the earth
• C. radius of its orbit will be doubled
• D. radius of its orbit will become half.

Answer 1

Answer: (A)

$\frac{1}{2}mv_{1}^{2}=2\left(\frac{1}{2} m v_{0}^{2}\right)$
$v_{1}=\sqrt{2}v_{0}$
this is the value of escape velocity, hence the satellite will escape out from gravitation of earth