Section 13.5 Gravitational Potential EnergyA rocket is

Step 1 of 1

We have to find the speed of the rocket when it is very far away from the earth.

The speed of the rocket when it is very far away from the earth can be found using the law of conservation of energy.

\(K_{2}+U_{2}=K_{1}+U_{1}\)

2 represents the energy of the rocket at a faraway distance.

1represents the energy of the rocket at the surface of Earth.

\(\frac{1}{2} m_{r} v_{2}^{2}-\frac{G M_{e} m_{r}}{r_{2}}=\frac{1}{2} m_{r} v_{1}^{2}-\frac{G M_{e} m_{r}}{R_{e}}\)