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Q. 24

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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

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 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

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