6.

What is the ratio of potential energy to kinetic energy for a planet in circular orbit around the sun? (Please use accepted conventions)

1. 1/2
2. 1
3. 2
4. -1
5. -2

7.

Asteroid Eros is one of the largest near-Earth asteroids. For purposes of this problem, assume that it is spherical. The value of g at its surface is 0.006 m/s² and the escape velocity is only 9.95 m/s. What is the radius of Eros?

1. 8250 m
2. 16000 m
3. 1600 m
4. 800 m

8.

A mass of 10 kg is inside a large hollow spherical mass (m = 2.0 x 10²⁴ kg, r = 3.0 x 10⁶ m). Its position is halfway between the center and the edge of the shell. Recall that G= 6.67 x 10^-11 N m²/kg². Determine the gravitational force each exerts on the other.

1. 148 N
2. 83 N
3. 74 N
4. 0 N

9.

A mass of 10 kg isinside a large solid uniform spherical mass (m = 2.0 x 10²⁴ kg, r = 3.0 x 10⁶m). Its position is halfway between the center and the edge of the sphere. Recall that G= 6.67 x 10^-11 N m²/kg². Determine the gravitational force each exerts on the other.

1. 148 N
2. 83 N
3. 74 N
4. 0 N

10.

A mass of 10 kg isoutside a large hollow spherical mass (m = 2.0 x 10²⁴ kg, r = 3.0 x 10⁶ m). Its position is 1.0 x 10⁶ m above the surface of the shell. Recall that G= 6.67 x 10^-11 N m²/kg². Determine the gravitational force each exerts on the other.

1. 148 N
2. 83 N
3. 74 N
4. 0 N