Log In Start studying!
Answers without the blur. Sign up and see all textbooks for free! Illustration

Q. 28

Expert-verified
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 354

Answers without the blur.

Just sign up for free and you're in.

Illustration

Short Answer

A new planet is discovered orbiting the star Vega in a circular orbit. The planet takes earth years to complete one orbit around the star. Vega’s mass is times the sun’s mass. What is the radius of the planet’s orbit? Give your answer as a multiple of the radius of the earth’s orbit.

The radius of the planet's orbit is times of the earth's orbit radius.

See the step by step solution

Step by Step Solution

Step 1 : Given information

Time period = mass of the planet =

Step 2 : Calculation

According to Kepler's 3rd law, the time period is given by

Where, T is the time period, R is the required radius of the orbit, G is the universal gravitational constant and M is the required mass of Vega.

Now solving we get,

The radius of the earth's orbit is

Radius of the planet is times of the earth's orbit radius.

Step 3 : Final answer

The radius of the planet is times of the earth's orbit radius.

Recommended explanations on Physics Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.