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You’ve entered a “slow ski race” where the winner is the
Chapter 6, Problem 60P(choose chapter or problem)
Problem 60P
You’ve entered a “slow ski race” where the winner is the skier who takes the longest time to go down a 15° slope without ever stopping. You need to choose the best wax to apply to your skis. Red wax has a coefficient of kinetic friction 0.25, yellow is 0.20, green is 0.15, and blue is 0.10. Having just finished taking physics, you realize that a wax too slippery will cause you to accelerate down the slope and lose the race. But a wax that’s too sticky will cause you to stop and be disqualified. You know that a strong headwind will apply a 50 N horizontal force against you as you ski, and you know that your mass is 82 kg. Which wax do you choose?
Questions & Answers
QUESTION:
Problem 60P
You’ve entered a “slow ski race” where the winner is the skier who takes the longest time to go down a 15° slope without ever stopping. You need to choose the best wax to apply to your skis. Red wax has a coefficient of kinetic friction 0.25, yellow is 0.20, green is 0.15, and blue is 0.10. Having just finished taking physics, you realize that a wax too slippery will cause you to accelerate down the slope and lose the race. But a wax that’s too sticky will cause you to stop and be disqualified. You know that a strong headwind will apply a 50 N horizontal force against you as you ski, and you know that your mass is 82 kg. Which wax do you choose?
ANSWER:
Step 1 of 4
Here we need to calculate the coefficient of kinetic friction and then we need to select the appropriate wax which can be used in the given case.
Given data,
Angle, \(\theta=15^{\circ}\)
Mass, \(m=82 \mathrm{~kg}\)
Horizontal Drag force, \(D=50 \mathrm{~N}\)
Acceleration due to gravity, \(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\)
To find,
Coefficient of kinetic friction, \(\mu_{k}=?\)