### Educational Resource: Sled and Rider Physics Problem**Problem Statement:**A sled and rider, weighing 30 lbs and 150 lbs, respectively, travel down a smooth slope that has the shape shown in the diagram. If the rider does not hold on to the sides of the sled, determine the normal force which he exerts on the sled when the sled is (a) at point B, where it has a velocity of 15 ft/s, and (b) at some point C in mid-air.**Diagram Explanation:**The diagram presents a slope described by the equation \( y = 20 \cos \left( \frac{\pi}{40} x \right) \).- **Axes:** - The vertical axis is labeled as \( y \). - The horizontal axis is labeled as \( x \).- **Points A, B, and C:** - Point A is at the top of the slope, positioned 20 ft above the ground in the vertical direction. - Point B is on the smooth curve at a lower elevation, corresponding to where the sled has a velocity of 15 ft/s. - Point C is farther along the path, and is identified as being in mid-air.- **Measurements:** - From point A to the baseline of the slope is 20 ft vertically. - The horizontal distance between point A and point B is 20 ft.**Slope Equation:**The slope follows the cosine function:\[ y = 20 \cos \left( \frac{\pi}{40} x \right) \]This equation describes the path of the sled from point A to B and beyond, with the amplitude and frequency having specific roles in shaping the slope.**Instructions:**Determine the normal force exerted by the rider on the sled at points B and C, using principles of physics and mechanics. Consider gravitational force, velocity, and motion along a curved path in your calculations.

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A sled and rider, weighing 30 lb and 150 lb, respectively, travel down a smooth slope that has the shape shown. If the rider does not hold on to the sides of the sled, determine the normal force which he exerts on the sled when the sled is (a) at point B, where it has a velocity of 15 ft/s, and (b) at some point C in mid air. y 20 ft 20 ft -y = 20 cos x T 40 -20 ft- 20 ft- B -x I

A sled and rider, weighing 30 lb and 150 lb, respectively, travel down a smooth slope that has the shape shown. If the rider does not hold on to the sides of the sled, determine the normal force which he exerts on the sled when the sled is (a) at point B, where it has a velocity of 15 ft/s, and (b) at some point C in mid air. y 20 ft 20 ft -y = 20 cos x T 40 -20 ft- 20 ft- B -x I

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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