Physics · GRAVITATION

A satellite of mass \( 400\text{ kg} \) is in a circular orbit of radius \( 2 R_E \) about the Earth. How much energy is required to transfer it into a circular orbit of radius \( 4 R_E \)? (Take \( g = 9.81\text{ m s}^{-2} \) and \( R_E = 6.37 \times 10^6\text{ m} \))

1. A
   \( 1.56 \times 10^9\text{ J} \)
2. B
   \( 6.25 \times 10^9\text{ J} \)
3. C
   \( 3.13 \times 10^9\text{ J} \)
4. D
   \( 1.25 \times 10^{10}\text{ J} \)