/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q5-64P (II) Planet A and planet B are i... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q5-64P (page 109)

(II) Planet A and planet B are in circular orbits around a distant star. Planet A is 7.0 times farther from the star than is planet B. What is the ratio of their speeds \({v_A}/{v_B}\)?

Short Answer

Expert verified

The ratio of their speeds is \(\sqrt 7 \).

Step by step solution

01

Concept

When a body moves on path from a fixed distance, then the body is said to be orbiting around the center.

02

Given data

The relation between the distance from the star is \({r_B} = 7{r_A}\).

03

Calculation

The expression for the orbital velocity is given by,

\(v = \sqrt {\frac{{GM}}{r}} \)

Here, G is the gravitational constant, M is the mass, and r is the distance from center.

For two different positions above equation can be written as,

\(\frac{{{v_A}}}{{{v_B}}} = \sqrt {\frac{{{r_B}}}{{{r_A}}}} \)

Substitute the given condition in above equation,

\(\begin{aligned}\frac{{{v_A}}}{{{v_B}}} &= \sqrt {\frac{{7{r_A}}}{{{r_A}}}} \\\frac{{{v_A}}}{{{v_B}}} &= \sqrt 7 \end{aligned}\)

Thus, the ratio of their speeds is \(\sqrt 7 \).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Describe all the forces acting on a child riding a horse on a merry-go-round. Which of these forces provides the centripetal acceleration of the child?

Calculate the acceleration due to gravity on the Moon, which has radius1.74脳106mand mass7.35脳1022kg?

A certain neutron star has five times the mass of our Sun packed into a sphere about 10 km in radius. Estimate the surface gravity on this monster.

Calculate the force of Earth鈥檚 gravity on a spacecraft 2.00 Earth radii above the Earth鈥檚 surface if its mass is 1850 kg.

Neptune is an average distance of \({\bf{4}}{\bf{.5 \times 1}}{{\bf{0}}^{\bf{9}}}{\bf{\;km}}\)from the Sun. Estimate the length of the Neptunium year using the fact that the Earth is \({\bf{1}}{\bf{.50 \times 1}}{{\bf{0}}^{\bf{8}}}{\bf{\;km}}\) from the Sun on average.
See all solutions

Recommended explanations on Physics Textbooks

Space Physics

Read Explanation

Torque and Rotational Motion

Read Explanation

Force

Read Explanation

Solid State Physics

Read Explanation

Translational Dynamics

Read Explanation

Turning Points in Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.