Q. 8

Expert-verifiedFound in: Page 353

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

The escape speed from Planet X is 10,000 m/s. Planet Y has the same radius as Planet X but is twice as dense. What is the escape speed from Planet Y?

Escape velocity of Planet Y is 14140 m/sec

Escape velocity of planet X, is 10000 m/sDensity of planet Y is twice the density of planet X => ρ_{x} = 2ρ_{y}

Radius of planet Y is equal to the radius of planet X => R_{x} = R_{y}

We can calculate escape velocity as

Where G = universal gravitational constant, M = mass of the planet r = radius of the planet

The escape velocity of planet X is

And for plant Y is

Now get the ratio and substitute values given

94% of StudySmarter users get better grades.

Sign up for free