Q. 33

Expert-verifiedFound in: Page 354

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

In , NASA placed a satellite in orbit around an asteroid. Consider a spherical asteroid with a mass of and a radius of

a. What is the speed of a satellite orbiting above the surface?

b. What is the escape speed from the asteroid?

a. The speed of the satellite is

b. The escape speed from the asteroid is

Height = mass of asteroid (M) = , Radius of asteroid (R) =

For a satellite to revolve around the planet the necessary centripetal force is provided by the gravitational force of attraction between the planet and the satellite.

Where orbital radius of satellite r = R + h

And

Now

Substituting values and solving we get : .

The speed of the satellite is

Mass of the asteroid (M) = radius of asteroid =

The escape speed from a planet is given by the formula :

Substituting values in the formula we get :

The escape speed from the planet is

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