A planet of mass 5 x 1024 kg is at location (S x 1011, -5 x 1011, o) m. A star of mass 5 x 1030 kg is at location (-6 x 1011, 5 x 1011, 0) m. It will be useful to draw a diagram of the situation, including the relevant vectors. (a) What is the relative position vector r pointing from the planet to the star? r= <-1.1.1012 1. 1012,0 > m (b) What is the distance between the planet and the star? Irl = |14.86e11 (c) What is the unit vector in the direction of r? 7 = <-.74,.67,0 > (d) What is the magnitude of the force exerted on the planet by the star? |Fon planetl = 7.56e42 X N (e) What is the magnitude of the force exerted on the star by the planet? Fon starl = (f) What is the force (vector) exerted on the planet by the star? (Note the change in units.) Fon planet = x 1020 N (g) What is the force (vector) exerted on the star by the planet? (Note the change in units.) Fon star= x 1020 N
A planet of mass 5 x 1024 kg is at location (S x 1011, -5 x 1011, o) m. A star of mass 5 x 1030 kg is at location (-6 x 1011, 5 x 1011, 0) m. It will be useful to draw a diagram of the situation, including the relevant vectors. (a) What is the relative position vector r pointing from the planet to the star? r= <-1.1.1012 1. 1012,0 > m (b) What is the distance between the planet and the star? Irl = |14.86e11 (c) What is the unit vector in the direction of r? 7 = <-.74,.67,0 > (d) What is the magnitude of the force exerted on the planet by the star? |Fon planetl = 7.56e42 X N (e) What is the magnitude of the force exerted on the star by the planet? Fon starl = (f) What is the force (vector) exerted on the planet by the star? (Note the change in units.) Fon planet = x 1020 N (g) What is the force (vector) exerted on the star by the planet? (Note the change in units.) Fon star= x 1020 N
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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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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Question
Please answer d,e,f,g
![A planet of mass \(5 \times 10^{24}\) kg is at location \((5 \times 10^{11}, -5 \times 10^{11}, 0)\) m. A star of mass \(5 \times 10^{30}\) kg is at location \((-6 \times 10^{11}, 5 \times 10^{11}, 0)\) m. It will be useful to draw a diagram of the situation, including the relevant vectors.
(a) What is the relative position vector \(\mathbf{\hat{r}}\) pointing from the planet to the star?
\[
\mathbf{\hat{r}} = \langle -1.1 \times 10^{12}, 1.1 \times 10^{12}, 0 \rangle \, \text{m}
\]
(b) What is the distance between the planet and the star?
\[
|\mathbf{\hat{r}}| = 14.866 \, \text{m}
\]
(c) What is the unit vector \(\mathbf{\hat{r}}\) in the direction of \(\mathbf{\hat{r}}\)?
\[
\mathbf{\hat{r}} = \langle -.74, -.67, 0 \rangle
\]
(d) What is the magnitude of the force exerted on the planet by the star?
\[
|F_{\text{on planet}}| = 7.56e42 \, \text{N}
\]
(e) What is the magnitude of the force exerted on the star by the planet?
\[
|F_{\text{on star}}| = \, \text{N}
\]
(f) What is the force (vector) exerted on the planet by the star? (Note the change in units.)
\[
\mathbf{F}_{\text{on planet}} = \, \times 10^{20} \, \text{N}
\]
(g) What is the force (vector) exerted on the star by the planet? (Note the change in units.)
\[
\mathbf{F}_{\text{on star}} = \, \times 10^{20} \, \text{N}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F97aba9c2-7733-43fc-8cda-64b1db1637bb%2F9df94e1b-f524-4eeb-ad10-ed7dbe96042e%2Frzdv2fg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A planet of mass \(5 \times 10^{24}\) kg is at location \((5 \times 10^{11}, -5 \times 10^{11}, 0)\) m. A star of mass \(5 \times 10^{30}\) kg is at location \((-6 \times 10^{11}, 5 \times 10^{11}, 0)\) m. It will be useful to draw a diagram of the situation, including the relevant vectors.
(a) What is the relative position vector \(\mathbf{\hat{r}}\) pointing from the planet to the star?
\[
\mathbf{\hat{r}} = \langle -1.1 \times 10^{12}, 1.1 \times 10^{12}, 0 \rangle \, \text{m}
\]
(b) What is the distance between the planet and the star?
\[
|\mathbf{\hat{r}}| = 14.866 \, \text{m}
\]
(c) What is the unit vector \(\mathbf{\hat{r}}\) in the direction of \(\mathbf{\hat{r}}\)?
\[
\mathbf{\hat{r}} = \langle -.74, -.67, 0 \rangle
\]
(d) What is the magnitude of the force exerted on the planet by the star?
\[
|F_{\text{on planet}}| = 7.56e42 \, \text{N}
\]
(e) What is the magnitude of the force exerted on the star by the planet?
\[
|F_{\text{on star}}| = \, \text{N}
\]
(f) What is the force (vector) exerted on the planet by the star? (Note the change in units.)
\[
\mathbf{F}_{\text{on planet}} = \, \times 10^{20} \, \text{N}
\]
(g) What is the force (vector) exerted on the star by the planet? (Note the change in units.)
\[
\mathbf{F}_{\text{on star}} = \, \times 10^{20} \, \text{N}
\]
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