Concept explainers
Biker Bob rides his bicycle inside the rotating space station at the speeds and directions given. The tangential speed of the floor of the station is 10 m/s clockwise.
a. Rank his speeds from highest to lowest relative to the stars.
b. Rank the normal forces on Bob from largest to smallest.
(a)
The rank of the speed of the biker from highest to lowest relative to the stars.
Answer to Problem 16A
The rank of the speed of the biker from highest to lowest relative to the stars is
Explanation of Solution
Given info:
The tangential speed of the floor of the station is
Formula used:
The expression for the speed for the objects moving in same direction as follows:
Here,
Calculation:
The speed of the biker for case A as follows:
The speed of the biker for case B as follows:
The speed of the biker for case C as follows:
By comparing the values, the speed of the biker is
Hence, the rank of the speed of the biker from highest to lowest relative to the stars is
Conclusion:
Thus, the rank of the speed of the biker from highest to lowest relative to the stars is
(b)
The rank of the normal forces on Bob from largest to smallest.
Answer to Problem 16A
The rank of the normal forces on Bob from largest to smallest is
Explanation of Solution
Given info:
The tangential speed of the floor of the station is
Formula used:
The expression for the normal force on the bicycle as follows:
Here,
Calculation:
Refer part (a).
The speed of the biker for case A
The speed of the biker for case B
The speed of the biker for case C
The normal force for case A as follows:
The normal force for case B as follows:
The normal force for case C as follows:
By comparing the values, the normal force is
Conclusion:
Thus, the rank of the normal forces on Bob from largest to smallest is
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