** **** ****1) Typically we treat objects near the surface of our planet with the gravitational potential**

**Ug = mgh. All matter exerts gravitational forces, through the following potential:**

**U = − (Gm m )/r 1 2**

**2**

**a) Use any means you choose to (neatly) graph The gravitational potential of the**

**Earth and Moon as a function of distance between them. How far apart will they**

**be when there is 0J of potential energy?**

**b) The moon follows a slightly elliptical orbit. Assume that the only force on the**

**moon is gravitational attraction. Is there any torque exerted on the moon?**

**Explain your answer.**

**c) Use conservation of angular momentum to show how the perigee and apogee**

**velocities are related. (The moon’s velocity at perigee is about 964 m/s.)**

**(with full work and explanation)**

Subject | Science |

Due By (Pacific Time) | 11/18/2014 09:10 pm |

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