(a)
The velocity of the satellite at the point C.
(a)
Answer to Problem 90P
The velocity of the satellite at the point C is
Explanation of Solution
Write the expression for velocity of the satellite.
Here,
Conclusion:
Substitute
Therefore, the velocity of the satellite at the point C is
(b)
The average velocity of the satellite for one quarter of an orbit starts at point A to the end point B.
(b)
Answer to Problem 90P
The average velocity of the satellite for one quarter of an orbit starts at point A to the end point B is
Explanation of Solution
Write the expression for average velocity of the satellite.
Here,
Substitute
Conclusion:
Substitute
Therefore, the angle does the wheel rotate during the third
(c)
The average acceleration of the satellite for one quarter of an orbit starts at point A to the end point B.
(c)
Answer to Problem 90P
The average acceleration of the satellite for one quarter of an orbit starts at point A to the end point B is
Explanation of Solution
Write the expression for average acceleration of the satellite.
Here,
Since, the average acceleration is in the same direction as,
Substitute
Conclusion:
Substitute
Therefore, the average acceleration of the satellite for one quarter of an orbit starts at point A to the end point B is
(d)
The acceleration of the satellite at point D.
(d)
Answer to Problem 90P
The acceleration of the satellite at point D is
Explanation of Solution
Write the expression for gravitational force.
Here,
Write the expression from Newton’s second law.
Here,
Conclusion:
Solve the equation (IV) and (V) to find centripetal acceleration.
Substitute
Therefore, the acceleration of the satellite at point D is
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