Question

A satellite is moving in a circular orbit around the earth. The total energy of the satellite is $E=-2\times {10}^{5}J$. the amount of energy to be imparted to the satellite to transfer it to a circular orbit, where its potential energy is $U=-2\times {10}^{5}J,$ is

• A. $2\times {10}^{5}J$
• B. $3\times {10}^{5}J$
• C. $0.5\times {10}^{5}J$
• D. $1\times {10}^{5}J$

Answer 1

Answer: (D)

$1\times {10}^{5}J$

Since for a satellite:
$TotalEnergy=\frac{1}{2}\left(Potentialenergy\right)$
Thus total energy for the final state is $-1\times {10}^{5}J$
Hence an energy of $1\times {10}^{5}J$ has to be imparted to the satellite.