## Problem 2: Two Planets Orbiting a Distant Star### a. Calculating the Radius of Planet A's OrbitConsider two planets orbiting a distant star. Planet A is farther from the star. It is orbiting at a speed of 14,625 m/s and has an orbital period of 12.45 years. What is the radius of A's orbit?**Hint:** Remember to convert the period into seconds.**Response:**- Input: \(4.57 \times 10^{11}\) m- Status: Incorrect**Previous Submissions:**- \(457000000000\) m### b. Determining the Mass of the StarWhat is the mass of the star?**Response:**- Input: \(1.465 \times 10^{30}\) kg- Status: Incorrect**Previous Submissions:**- \(1.465 \times 10^{30}\) kg### c. Calculating the Radius of Planet B's OrbitPlanet B is closer in. B has a larger velocity of 38,500 m/s. What is the radius of B's orbit?**Response:**- Input: \(6.598 \times 10^{10}\) m- Status: Incorrect**Previous Submissions:**- \(65980000000\) m### ExplanationThis section involves calculations related to celestial mechanics. The task is to determine the radius of orbit for two planets, A and B, around a star, along with identifying the mass of the star. The given values for speed and orbital periods should be used, ensuring unit conversions for precision.

Given:- The speed of planet A is vA = 14625 m/s The time period of planet A is T = 12.45 years…

2. a. Consider two planets orbiting a distant star. Planet A is further from the star. A is orbiting at a speed of 14625 m/s and has an orbital period of 12.45 years. What is the radius of A's orbit? Hint: remember to convert the period into seconds. 4.57E11 Previous submissions: 457000000000 b. What is the mass of the star? 1.465E30 Previous submissions: 1.465e30 c. Planet B is closer in. B has a larger velocity of 38500 m/s. What is the radius of B's orbit? 6.598E10 Previous submissions: 65980000000 kg m m incorrect kg V incorrect m incorrect

2. a. Consider two planets orbiting a distant star. Planet A is further from the star. A is orbiting at a speed of 14625 m/s and has an orbital period of 12.45 years. What is the radius of A's orbit? Hint: remember to convert the period into seconds. 4.57E11 Previous submissions: 457000000000 b. What is the mass of the star? 1.465E30 Previous submissions: 1.465e30 c. Planet B is closer in. B has a larger velocity of 38500 m/s. What is the radius of B's orbit? 6.598E10 Previous submissions: 65980000000 kg m m incorrect kg V incorrect m incorrect

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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Question

## Problem 2: Two Planets Orbiting a Distant Star

### a. Calculating the Radius of Planet A's Orbit

Consider two planets orbiting a distant star. Planet A is farther from the star. It is orbiting at a speed of 14,625 m/s and has an orbital period of 12.45 years. What is the radius of A's orbit?

**Hint:** Remember to convert the period into seconds.

**Response:**
- Input: \(4.57 \times 10^{11}\) m
- Status: Incorrect

**Previous Submissions:**
- \(457000000000\) m

### b. Determining the Mass of the Star

What is the mass of the star?

**Response:**
- Input: \(1.465 \times 10^{30}\) kg
- Status: Incorrect

**Previous Submissions:**
- \(1.465 \times 10^{30}\) kg

### c. Calculating the Radius of Planet B's Orbit

Planet B is closer in. B has a larger velocity of 38,500 m/s. What is the radius of B's orbit?

**Response:**
- Input: \(6.598 \times 10^{10}\) m
- Status: Incorrect

**Previous Submissions:**
- \(65980000000\) m

### Explanation

This section involves calculations related to celestial mechanics. The task is to determine the radius of orbit for two planets, A and B, around a star, along with identifying the mass of the star. The given values for speed and orbital periods should be used, ensuring unit conversions for precision.

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