**Title: Exploring the Physics of Speed Bumps - Case Study: The "Holly Hump"****Introduction:**Nobel laureate Arthur Holly Compton, concerned about speeding cars near his workspace, designed a speed bump known as the "Holly hump." This was implemented on a roadway segment that follows the arc of a circle with a radius of 19.6 meters, as depicted in the diagram.**Scenario:**Consider a car weighing 1800 kg traveling over this hump.**Questions:****(a) Force Exerted by the Road:**As the car travels at a speed of 29.5 km/h, we need to calculate the force exerted by the road on the car when it reaches the highest point of the hump.- **Inputs Required:** - Magnitude (in Newtons) - Direction (defaulted to "down")*Note:* This requires an understanding of centripetal force and gravitational influences at the apex of the hump.**(b) Maximum Safe Speed:**Determine the maximum velocity the car can maintain without losing contact with the road as it passes over the highest point of the bump.- **Input Required:** - Maximum speed (in km/h)**Diagram Explanation:**- The diagram presents a side view of a car moving over the circular arc of the speed bump.- An arrow indicates the direction of travel, and vector markers denote forces involved.This exploration combines principles of circular motion and gravitational forces, posing a practical question of vehicular dynamics on curved roadways.

Given data The car's mass is: m = 1800 kg The circle's arc radius is: r = 19.6 m The speed of the…

Disturbed by speeding cars outside his workplace, Nobel laureate Arthur Holly Compton designed a speed bump (called the "Holly hump") and had it installed. Suppose a 1 800-kg car passes over a hump in a roadway that follows the arc of a circle of radius 19.6 m as in the figure below. (a) If the car travels at 29.5 km/h what force does the road exert on the car as the car passes the highest point of the hump? magnitude direction down (b) What is the maximum speed the car can have without losing contact with the road as passes this highest point? km/h

Disturbed by speeding cars outside his workplace, Nobel laureate Arthur Holly Compton designed a speed bump (called the "Holly hump") and had it installed. Suppose a 1 800-kg car passes over a hump in a roadway that follows the arc of a circle of radius 19.6 m as in the figure below. (a) If the car travels at 29.5 km/h what force does the road exert on the car as the car passes the highest point of the hump? magnitude direction down (b) What is the maximum speed the car can have without losing contact with the road as passes this highest point? km/h

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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