Unit Test Questions

1. A 2 kg mass moves in a circle of radius 0.5 m at 4 m/s. Calculate centripetal force.
2. A satellite orbits Earth at 2 × 10^7 m from center. Determine orbital speed.
3. A ball on a string rotates in vertical circle, radius 1.5 m. Find minimum speed at top to maintain circular motion.
4. Compute gravitational force between two 5 kg masses separated by 2 m.
5. A car moves over a hill of radius 20 m at 12 m/s. Find normal force at crest.
6. Derive tension in a string when a 1.5 kg mass swings in horizontal circle of radius 0.8 m at 5 m/s.
7. A satellite doubles orbit radius. How does its period change?
8. Find acceleration of object in circular motion if speed is 10 m/s and radius is 3 m.
9. Calculate speed of geostationary satellite orbiting Earth.
10. A particle moves in circle, friction prevents slipping. Radius 2 m, speed 6 m/s. Find minimum friction force.