100583
AssignmentMultiple Choice

Universal Law of Gravitation

Question 100583 • Crowley Credit Recovery Physics A

Saturn’s moon Titan has a mass of 1.35 × 1023 kg. If Titan is 1.19 × 106 km from Saturn, and Saturn’s mass is 5.86 × 1026 kg, what is the gravitational force between Saturn and its moon?

Answer
A
2.76 × 104 N
B
3.29 × 107 N
C
3.73 × 1021 N
D
4.43 × 1030 N

Explanation

Use Newton’s law of gravitation: F = Gm₁m₂/r². Convert the distance to meters: 1.19 × 10⁶ km = 1.19 × 10⁹ m. Substituting the masses and G = 6.67 × 10⁻¹¹ gives F ≈ (6.67 × 10⁻¹¹)(1.35 × 10²³)(5.86 × 10²⁶)/(1.19 × 10⁹)² ≈ 3.73 × 10²¹ N, so the answer is C, 3.73 × 10²¹ N.

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