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Q. 33

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

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Short Answer

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 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

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