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Chapter 13: Q. 8 (page 353)

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?

Short Answer

Expert verified

Escape velocity of Planet Y is 14140 m/sec

Step by step solution

01

Given Information

Escape velocity of planet X, is 10000 m/s
Density of planet Y is twice the density of planet X => 蚁x = 2蚁y

Radius of planet Y is equal to the radius of planet X => Rx = Ry

02

Explanation

We can calculate escape velocity as

ve=2GMr

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

The escape velocity of planet X is

vX=2GMRX=2G蚁XVRX(asM=蚁脳V)

And for plant Y is

vY=2GMRY=2G蚁YVRY(asM=蚁脳V)

Now get the ratio and substitute values given

vXvY=2G蚁XVRX2G蚁YVRY10000m/svY=蚁X2蚁XvY=14140m/s

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