   Chapter 7, Problem 33P

Chapter
Section
Textbook Problem

(a) Find the magnitude of the gravitational force between a planet with mass 7.50 × 1024 kg and its moon, with mass 2.70 × 1022 kg, if the average distance between their centers is 2.80 × 108 m. (b) What is the acceleration of the moon towards the planet? (c) What is the acceleration of the planet towards the moon?

(a)

To determine
The magnitude of gravitational force between a planet and its moon.

Explanation

Given info: The gravitational constant is 6.673×1011Nm2/kg2 , the mass of the planet is 7.50×1024kg , the mass of the moon is 2.70×1022kg , and the distance between their centers is 2.80×108m .

Explanation:

The formula for the magnitude of gravitational force between the planet and its moon is,

F=Gm1m2r

• G is gravitational constant.
• m1 is mass of the planet.
• m2 is mass of the moon.
• r is the distance between their centers.

Substitute 6.673×1011Nm2/kg2 for G , 7.50×1024kg for m1 , 2

(b)

To determine
The acceleration of the moon towards the planet.

(c)

To determine
The acceleration of the planet towards the moon.

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