  # Find the magnitude of the gravitational force (in N) between a planet with mass 7.25 ✕ 1024 kg and its moon, with mass 2.30 ✕ 1022 kg, if the average distance between their centers is 2.90 ✕ 108 m.

Question

Find the magnitude of the gravitational force (in N) between a planet with mass 7.25 ✕ 1024 kg and its moon, with mass 2.30 ✕ 1022 kg, if the average distance between their centers is 2.90 ✕ 108 m.

check_circleExpert Solution
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 Mp, 2.30 ✕ 1022 kg for Mm,...

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