Question

Asked Apr 2, 2019

Find the magnitude of the gravitational force (in N) between a planet with mass 7.25 ✕ 10^{24} kg and its moon, with mass 2.30 ✕ 10^{22} kg, if the average distance between their centers is 2.90 ✕ 10^{8} m.

Step 1

The gravitational force between two objects can be determined according to the Newton’s universal law of gravitation. It states that the force of attraction between two objects in the universe is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. Thus, the magnitude of the gravitational force between the planet and its moon can be calculated as follows.

Step 2

The gravitational constant is equal to 6.67✕10-11 m3kgs-2. Substitute 7.25 ✕ 1024 kg for *M*p, 2.30 ✕ 1022 kg for *M*m,...

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