Certainly! Here is the transcription of the content and an explanation suitable for an educational website:---**Physics Problem: Motion and Forces on an Incline****Problem Statement:**7. You're biking down a hill at 11.375 m/s. You want to apply the brakes and stop over a distance of 7.35 m. Your mass with the bike is 73.125 kg. The angle of incline of the road is 15.7 degrees. What is your acceleration across the surface of the ramp? Take up the ramp to be positive and down the ramp to be negative.**Solution Steps and Submissions:**a. Calculate the acceleration across the surface of the ramp.- Previous submission: 8.8 (correct)b. What is the normal force \( F_N \) of the road on the bike?- Previous submission: 689.89 (correct)c. What must be the force of friction \( F_{\text{fs}} \) to achieve the desired acceleration?- Previous submissions: - 643.5 - 193.92 - 449.58 - (All marked incorrect)d. What must be the coefficient of friction \( \mu_{\text{k}} \)? (It's \( \mu_{\text{k}} \) even though the bike is moving because it's not slipping across the surface of the road.)- Previous submissions: - 0.933 - 0.28 - 0.65 - (All marked incorrect)**Explanation of Concepts:**- **Acceleration:** When braking on an incline, determining the acceleration is crucial for calculating stopping distances.- **Normal Force \( F_N \):** This is the perpendicular force exerted by the surface on the object. It is essential for calculating friction when dealing with inclines.- **Force of Friction \( F_{\text{fs}} \):** This is the force that resists the motion of the bike. Calculating it correctly is key to determining the braking force.- **Coefficient of Friction \( \mu_{\text{k}} \):** This dimensionless number describes how slippery the surface is. It's vital for finding out whether the tires have enough grip to stop without slipping.For this problem, understanding how forces interact on an incline helps in applying physics to real-world situations like biking down a hill.--- This transcription and explanation cater to educational purposes,

Given: Mass of rider + bike = m = 73.125 kg Inclination angle of the road = θ = 15.7 degrees…

a. You're biking down a hill at 11.375 m/s. You want to apply the brakes and stop over a distance of 7.35 m. Your mass with the bike is 73.125 kg. The angle of incline of the road is 15.7 degrees. What is your acceleration across the surface of the ramp? Take up the ramp to be positive and down the ramp to be negative. Previous submissions: 8.8 b. What is FN of the road on the bike? Previous submissions: 689.89 c. What must be Ffs to achieve the desired acceleration? Previous submissions: 643.5 193.92 449.58 d. What must be us? (It's u, even though the bike is moving becuase it's not slipping across the surface of the road.) correct correct incorrect

a. You're biking down a hill at 11.375 m/s. You want to apply the brakes and stop over a distance of 7.35 m. Your mass with the bike is 73.125 kg. The angle of incline of the road is 15.7 degrees. What is your acceleration across the surface of the ramp? Take up the ramp to be positive and down the ramp to be negative. Previous submissions: 8.8 b. What is FN of the road on the bike? Previous submissions: 689.89 c. What must be Ffs to achieve the desired acceleration? Previous submissions: 643.5 193.92 449.58 d. What must be us? (It's u, even though the bike is moving becuase it's not slipping across the surface of the road.) correct correct incorrect

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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