Table of contents

0. Math Review31m
- Math Review
  31m
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

Newton's Law of Gravity

Physics

8. Centripetal Forces & Gravitation

Newton's Law of Gravity

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Multiple Choice

The mass of the moon is 7.36 × 10^22 kg and its distance to the Earth is 3.84 × 10^8 m. What is the gravitational force of the moon on the Earth, given that the gravitational constant G is 6.674 × 10^-11 N(m/kg)^2?

6.67 × 10^11 N

3.84 × 10^22 N

1.98 × 10^20 N

7.36 × 10^22 N

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Verified step by step guidance

Identify the formula for gravitational force: The gravitational force between two masses is given by Newton's law of universal gravitation, which is F = G * (m1 * m2) / r^2, where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses, and r is the distance between the centers of the two masses.

Assign the given values to the variables in the formula: Here, m1 is the mass of the moon (7.36 × 10^22 kg), m2 is the mass of the Earth (which is not given but is approximately 5.97 × 10^24 kg), r is the distance between the Earth and the moon (3.84 × 10^8 m), and G is the gravitational constant (6.674 × 10^-11 N(m/kg)^2).

Substitute the values into the formula: Replace m1, m2, r, and G in the formula F = G * (m1 * m2) / r^2 with the given values. This will give you F = 6.674 × 10^-11 * (7.36 × 10^22 * 5.97 × 10^24) / (3.84 × 10^8)^2.

Simplify the expression: First, calculate the product of the masses (m1 * m2), then calculate the square of the distance (r^2), and finally divide the product of the masses by the square of the distance. Multiply the result by the gravitational constant G.

Interpret the result: The calculated value will give you the gravitational force between the Earth and the moon. Ensure that the units are consistent and the result is in newtons (N).