Q. 24

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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

# The asteroid belt circles the sun between the orbits of Mars and Jupiter. One asteroid has a period of earth years. What are the asteroid’s orbital radius and speed?

The asteroid’s orbital radius is and its speed is

See the step by step solution

## Step 1 : Given information

The asteroid belt circles the sun between the orbits of Mars and Jupiter. One asteroid has a period of earth years.

## Step 2 : Calculation

The radius can be calculated using the time period and it is given by :

Sun's gravitational attraction provides the asteroid's centripetal force and it is given by :

## Step 3 : Continuation of calculation

Substituting the value of R in equation (2) we get,

Substituting the value of 'v' in equation (1) we get,

## Step 4 : Final answer

The asteroid’s orbital radius is and its speed is