# Worksheet: Escape Velocity

In this worksheet, we will practice calculating the velocity required to escape the pull of a gravitational body given the body's mass and radius.

**Q3: **

The distance from a solar system to the center of the Milky Way is 27,000 light years. Assume that the mass contained in the sphere of radius 27,000 light years is 100 billion solar masses, taking one solar mass as kg. What is the escape velocity for the Milky Way from the position of this solar system?

**Q4: **

What is the speed needed to escape from the Earth-Moon system from a point on the
surface of Earth? Assume there are no other bodies involved and do **not** account for
the fact that Earth and the Moon are moving in their orbits. Use a value of
km for the
distance between the centers of the Moon and Earth, kg for
Earth’s mass, and kg for the Moon’s mass.

- A m/s
- B m/s
- C m/s
- D m/s
- E m/s