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0. Math Review31m
- Math Review
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1. Intro to Physics Units1h 29m
2. 1D Motion / Kinematics3h 56m
3. Vectors2h 43m
4. 2D Kinematics1h 42m
5. Projectile Motion3h 6m
6. Intro to Forces (Dynamics)3h 22m
7. Friction, Inclines, Systems2h 44m
8. Centripetal Forces & Gravitation7h 26m
9. Work & Energy1h 59m
10. Conservation of Energy2h 54m
11. Momentum & Impulse3h 40m
12. Rotational Kinematics2h 59m
13. Rotational Inertia & Energy7h 4m
14. Torque & Rotational Dynamics2h 5m
15. Rotational Equilibrium3h 39m
16. Angular Momentum3h 6m
17. Periodic Motion2h 9m
18. Waves & Sound3h 40m
19. Fluid Mechanics4h 27m
20. Heat and Temperature3h 7m
21. Kinetic Theory of Ideal Gases1h 50m
22. The First Law of Thermodynamics1h 26m
23. The Second Law of Thermodynamics3h 11m
24. Electric Force & Field; Gauss' Law3h 42m
25. Electric Potential1h 51m
26. Capacitors & Dielectrics2h 2m
27. Resistors & DC Circuits3h 8m
28. Magnetic Fields and Forces2h 23m
29. Sources of Magnetic Field2h 30m
30. Induction and Inductance3h 38m
31. Alternating Current2h 37m
32. Electromagnetic Waves2h 14m
33. Geometric Optics2h 57m
34. Wave Optics1h 15m
35. Special Relativity2h 10m

8. Centripetal Forces & Gravitation

Gravitational Potential Energy for Systems of Masses

Physics

8. Centripetal Forces & Gravitation

Gravitational Potential Energy for Systems of Masses

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Multiple Choice

What is the total gravitational potential energy of this system of masses?

$- 1.52 \times 1 0^{- 9}$ J

$- 3.49 \times 1 0^{- 8}$ J

$- 7.78 \times 1 0^{- 8}$ J

$- 1.75 \times 1 0^{- 7}$ J

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Verified step by step guidance

Identify the masses involved in the system: 20 kg, 10 kg, and 30 kg. Note their positions relative to each other as shown in the image.

Understand that gravitational potential energy between two masses is given by the formula:

- \frac{G m m m m}{r}

, where

G

is the gravitational constant,

m

and

m

are the masses, and

r

is the distance between them.

Calculate the gravitational potential energy between each pair of masses: (20 kg and 10 kg), (20 kg and 30 kg), and (10 kg and 30 kg). Use the distances provided in the image: 30 cm between 20 kg and 10 kg, and 40 cm between 20 kg and 30 kg.

Convert the distances from centimeters to meters for consistency in units, as the gravitational constant

G

is typically used in meters.

Sum the gravitational potential energies calculated for each pair to find the total gravitational potential energy of the system.

4:52m

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