Newton’s Universal Law of Gravitation – Practice Problems

1. IB Physics Power Points Topic 6 SL Fields and Forces www.pedagogics.ca Newton’s Universal Law of Gravitation – Practice Problems

2. 1. Draw free body diagrams (including annotations and calculated values) representing the following situations (consider g = 10 ms-2) • A 50 kg student in an elevator at rest • A 50 kg student in an elevator moving downwards at 2 ms-1. • A 50 kg student in an elevator moving upwards at 5 ms-1. • A 50 kg student in an elevator accelerating upwards at 1 ms-2. • A 50 kg student in an elevator accelerating downwards at 3 ms-2 • A 50 kg student in an elevator falling freely

3. 1. Draw free body diagrams (including annotations and calculated values) representing the following situations (consider g = 10 ms-2) • A 50 kg student in an elevator at rest

4. 1. Draw free body diagrams (including annotations and calculated values) representing the following situations (consider g = 10 ms-2) • A 50 kg student in an elevator at rest

5. 1. Draw free body diagrams (including annotations and calculated values) representing the following situations (consider g = 10 ms-2) • A 50 kg student in an elevator at rest weight = 50 kg x 10 ms-2 = 500 N 500 N mg

6. 1. Draw free body diagrams (including annotations and calculated values) representing the following situations (consider g = 10 ms-2) • A 50 kg student in an elevator at rest 500 N Fg

7. 1. Draw free body diagrams (including annotations and calculated values) representing the following situations (consider g = 10 ms-2) • A 50 kg student in an elevator at rest 500 N W

8. 1. Draw free body diagrams (including annotations and calculated values) representing the following situations (consider g = 10 ms-2) • A 50 kg student in an elevator at rest FN 500 N 500 N mg

9. 1. Draw free body diagrams (including annotations and calculated values) representing the following situations (consider g = 10 ms-2) • A 50 kg student in an elevator at rest • A 50 kg student in an elevator moving downwards at 2 ms-1. • A 50 kg student in an elevator moving upwards at 5 ms-1.

10. 1. Draw free body diagrams (including annotations and calculated values) representing the following situations (consider g = 10 ms-2) • A 50 kg student in an elevator at rest • A 50 kg student in an elevator moving downwards at 2 ms-1. • A 50 kg student in an elevator moving upwards at 5 ms-1. FN 500 N 500 N mg

11. 1. Draw free body diagrams (including annotations and calculated values) representing the following situations (consider g = 10 ms-2) • A 50 kg student in an elevator at rest • A 50 kg student in an elevator moving downwards at 2 ms-1. • A 50 kg student in an elevator moving upwards at 5 ms-1. • A 50 kg student in an elevator accelerating upwards at 1 ms-2. FN 500 N 500 N mg

12. 1. Draw free body diagrams (including annotations and calculated values) representing the following situations (consider g = 10 ms-2) • A 50 kg student in an elevator at rest • A 50 kg student in an elevator moving downwards at 2 ms-1. • A 50 kg student in an elevator moving upwards at 5 ms-1. • A 50 kg student in an elevator accelerating upwards at 1 ms-2. FN ? 500 N mg

13. 1. Draw free body diagrams (including annotations and calculated values) representing the following situations (consider g = 10 ms-2) • A 50 kg student in an elevator at rest • A 50 kg student in an elevator moving downwards at 2 ms-1. • A 50 kg student in an elevator moving upwards at 5 ms-1. • A 50 kg student in an elevator accelerating upwards at 1 ms-2. FN ? Fnet ma ma = 50 x 1 = 50 N 500 N mg

14. 1. Draw free body diagrams (including annotations and calculated values) representing the following situations (consider g = 10 ms-2) • A 50 kg student in an elevator at rest • A 50 kg student in an elevator moving downwards at 2 ms-1. • A 50 kg student in an elevator moving upwards at 5 ms-1. • A 50 kg student in an elevator accelerating upwards at 1 ms-2. FN 550 N 500 N mg

15. 1. Draw free body diagrams (including annotations and calculated values) representing the following situations (consider g = 10 ms-2) • A 50 kg student in an elevator at rest • A 50 kg student in an elevator moving downwards at 2 ms-1. • A 50 kg student in an elevator moving upwards at 5 ms-1. • A 50 kg student in an elevator accelerating upwards at 1 ms-2. • A 50 kg student in an elevator accelerating downwards at 3 ms-2 FN 350 N 500 N mg

16. 1. Draw free body diagrams (including annotations and calculated values) representing the following situations (consider g = 10 ms-2) • A 50 kg student in an elevator at rest • A 50 kg student in an elevator moving downwards at 2 ms-1. • A 50 kg student in an elevator moving upwards at 5 ms-1. • A 50 kg student in an elevator accelerating upwards at 1 ms-2. • A 50 kg student in an elevator accelerating downwards at 3 ms-2 • A 50 kg student in an elevator falling freely 500 N mg

17. 2. Which of the following graphs shows how the gravitational force varies with the distance of separation between two objects?

18. 3. A satellite experiences a gravitational force of 228 N at an altitude of 4.0 × 107 m above Earth. www.pedagogics.ca What is the mass of this satellite? • 23 kg • 650 kg • 910 kg • 1 200 kg

19. 4. A rock drops from a very high altitude towards the surface of the moon. Which of the following is correct about the changes that occur in the rock’s mass and weight?