(a) Find the magnitude of the gravitational force (in N) between a planet with mass 6.50 x 1024 kg and its moon, with mass 2.75 x 1022 kg, if the average distance between their centers is 2.90 x 108 m. 2.12e30 x N (b) What is the moon's acceleration (in m/s²) toward the planet? (Enter the magnitude.) 7.7e7 |× m/s² (c) What is the planet's acceleration (in m/s²) toward the moon? (Enter the magnitude.) 3.3e5 × m/s?

College Physics
11th Edition
ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Gravitational Force and Acceleration Calculations**

**(a)** Find the magnitude of the gravitational force (in N) between a planet with mass \(6.50 \times 10^{24}\) kg and its moon, with mass \(2.75 \times 10^{22}\) kg, if the average distance between their centers is \(2.90 \times 10^{8}\) m.

*Attempted Answer:*
2.12e30 N ❌

**(b)** What is the moon's acceleration (in m/s\(^2\)) toward the planet? (Enter the magnitude.)

*Attempted Answer:*
7.7e7 m/s\(^2\) ❌

**(c)** What is the planet's acceleration (in m/s\(^2\)) toward the moon? (Enter the magnitude.)

*Attempted Answer:*
3.3e5 m/s\(^2\) ❌

**Note:** 
- Each attempt marked with ❌ indicates incorrect answers.
- Students should review the gravitational force equation \( F = \frac{{G \cdot m_1 \cdot m_2}}{{r^2}} \) and ensure calculations are conducted accurately, considering significant figures and units.
- Acceleration calculations should factor in Newton's second law \( a = \frac{F}{m} \), where \( F \) is the gravitational force calculated.
Transcribed Image Text:**Gravitational Force and Acceleration Calculations** **(a)** Find the magnitude of the gravitational force (in N) between a planet with mass \(6.50 \times 10^{24}\) kg and its moon, with mass \(2.75 \times 10^{22}\) kg, if the average distance between their centers is \(2.90 \times 10^{8}\) m. *Attempted Answer:* 2.12e30 N ❌ **(b)** What is the moon's acceleration (in m/s\(^2\)) toward the planet? (Enter the magnitude.) *Attempted Answer:* 7.7e7 m/s\(^2\) ❌ **(c)** What is the planet's acceleration (in m/s\(^2\)) toward the moon? (Enter the magnitude.) *Attempted Answer:* 3.3e5 m/s\(^2\) ❌ **Note:** - Each attempt marked with ❌ indicates incorrect answers. - Students should review the gravitational force equation \( F = \frac{{G \cdot m_1 \cdot m_2}}{{r^2}} \) and ensure calculations are conducted accurately, considering significant figures and units. - Acceleration calculations should factor in Newton's second law \( a = \frac{F}{m} \), where \( F \) is the gravitational force calculated.
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