How would you solve this problem?? Determine the mass of a starA new planet is discovered orbiting a distant star. Observations have confirmed that the planet has a circular orbit with a radius of 30 AU andtakes 140 days to orbit the star. Determine the mass of the star. State your answer with appropriate mks units. [NOTE: AU stands for"astronomical unit". It is the average distance between Earth & the Sun. 1 AU = 1.496 × 10¹1 m.]

Given data: The radius of the circular orbit, R=30 AU=4.488×1012 m Time period, T=140 days=1.21×107…

Answered: A new planet is discovered orbiting a…

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)...

See similar textbooks

Related questions

Question

How would you solve this problem??

Determine the mass of a star
A new planet is discovered orbiting a distant star. Observations have confirmed that the planet has a circular orbit with a radius of 30 AU and
takes 140 days to orbit the star. Determine the mass of the star. State your answer with appropriate mks units. [NOTE: AU stands for
"astronomical unit". It is the average distance between Earth & the Sun. 1 AU = 1.496 × 10¹1 m.]

Expert Solution

Step 1

Given data:

The radius of the circular orbit, $R = 30 AU = 4.488 \times 10^{12} m$

Time period, $T = 140 days = 1.21 \times 10^{7} s$

The diagram of the situation is given below-

In the above diagram,

$M$ is the mass of the star, $m$ is the mass of the planet, $F_{g}$ is the gravitational force between the planet and the star and $R$ is the orbital radius.

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions