Q. 33

Expert-verified
Found in: Page 354

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

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

See the step by step solution

## Step 1 : Given information a

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

## Step 2 : Calculation a

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 : .

## Step 3 : Final answer a

The speed of the satellite is

## Step 4 : Given information b

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

## Step 5 : Calculation b

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

Substituting values in the formula we get :

## Step 6 : Final answer b

The escape speed from the planet is