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A cyclist is coasting at a steady speed of 12 m/s but enters a muddy stretch where the
Chapter 4, Problem 73GP(choose chapter or problem)
Problem 73GP
A cyclist is coasting at a steady speed of 12 m/s but enters a muddy stretch where the effective coefficient of friction is 0.60. Will the cyclist emerge from the muddy stretch without having to pedal if the mud lasts for 11 m? If so, what will be the speed upon emerging?
Questions & Answers
QUESTION:
Problem 73GP
A cyclist is coasting at a steady speed of 12 m/s but enters a muddy stretch where the effective coefficient of friction is 0.60. Will the cyclist emerge from the muddy stretch without having to pedal if the mud lasts for 11 m? If so, what will be the speed upon emerging?
ANSWER:
Solution 73GP
Step 1 of 4:
Consider a cyclist enters a muddy stretch with a constant initial speed vo and the mud offers a frictional force and the speed of the cycle decreases. The length of the muddy stretch is given as Δx. Assume that the cyclist doesn’t apply any force to pedal the cycle. We are going to find whether the cyclist will emerge out from the mud or not and the final speed of the cycle if he emerges.
The initial speed of the cycle vo = 12 m/s
The acceleration due to gravity g = 9.8 m/s2
The distance covered in the stretch Δx = 11 m
The coefficient of friction of the mud μ = 0.6