### Gravitational Force Between Two PlanetesimalsSomewhere far, far away on the other side of our galaxy, there is a new protoplanetary disk where two baby planetesimals are growing. Planetesimal A is currently \(5 \times 10^9\) kg, and Planetesimal B is \(2 \times 10^5\) kg. If these two planetesimals are 100 meters apart, what is the gravitational force between them?**Hint**: The Universal Gravitational Constant (\( G \)) is \( 6.67 \times 10^{-11} \, \text{Nm}^2/\text{kg}^2 \).\[F_G = \frac{G m_1 m_2}{r^2}\]#### Diagram ExplanationThis diagram depicts two planetesimals, labeled A and B, situated 100 meters apart:- **Planetesimal A**: Represented by a large blue circle with a mass of \( 5 \times 10^9 \, \text{kg} \).- **Planetesimal B**: Represented by a smaller green circle with a mass of \( 2 \times 10^5 \, \text{kg} \).- The distance between Planetesimal A and Planetesimal B is indicated by a horizontal line with the label "100 meters."- Blue and green arrows point towards each other, indicating the direction of the gravitational force each exerts on the other.#### Calculation1. **Mass of Planetesimal A (\( m_1 \))**: \( 5 \times 10^9 \, \text{kg} \)2. **Mass of Planetesimal B (\( m_2 \))**: \( 2 \times 10^5 \, \text{kg} \)3. **Distance between the planetesimals (\( r \))**: 100 meters4. **Universal Gravitational Constant (\( G \))**: \( 6.67 \times 10^{-11} \, \text{Nm}^2/\text{kg}^2 \)By substituting these values into the gravitational force formula:\[F_G = \frac{(6.67 \times 10^{-11}) \times (5 \times 10^9) \times (2

Somewhere far, far away on the other side of our galaxy, there is a new protoplanetary disk where two baby planetesimals are growing. Planetesimal A is currently 5x10° kg, and Planetesimal B is 2x105 kg. If these two planetesimals are 100 meters apart, what is the gravitational force between them? (Hint: the Universal Gravitational Constant (G) is 6.67x10-11 Nm²/kg²) Gm1m2 FG %D r2 Planetesimal B Planetesimal A 2 x 10 kg 5 x 10°kg 100 meters

Somewhere far, far away on the other side of our galaxy, there is a new protoplanetary disk where two baby planetesimals are growing. Planetesimal A is currently 5x10° kg, and Planetesimal B is 2x105 kg. If these two planetesimals are 100 meters apart, what is the gravitational force between them? (Hint: the Universal Gravitational Constant (G) is 6.67x10-11 Nm²/kg²) Gm1m2 FG %D r2 Planetesimal B Planetesimal A 2 x 10 kg 5 x 10°kg 100 meters

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

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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