Problems 2 (20 points)

A simple satellite consisted of an inflated spherical aluminum balloon 30 meter in diameter and of mass 20 kilogram. Suppose a meteor having a mass of 7.0 kilogram passes within 3.0 meter of the surface of the satellite

G= 6.67 10-11Nm2/kg2

(5 points) Make a detail sketch of the problem including the forces

Part 2a (5 points) What is the magnitude of the gravitational force on the meteor from the satellite at the closest approach of 3.0 meter?

Show your detail calculations with all the units

Part 2b (5 points) What is the gravitational potential energy between the meteor and the satellite at the closest approach of 3.0 meter?

Part 2c (5 points) What is the magnitude of the acceleration of gravity at the surface of the meteor due to the satellite at the closest approach of 3.0 meter?