Ch. 5 # 43 . Please see attached images for Physics question . Thank you . **Figure 5.19****(a)** A diagram depicts a motorcycle performing a vertical loop-the-loop stunt. The rider enters the loop from the left. The loop has a radius labeled as \( r \). The motorcycle is shown at four key positions within the loop: entering the loop, moving up, reaching the top, and descending.**(b)** This is a force diagram of the loop and the rider, depicting the normal force \( \vec{F}_N \) and the gravitational force \( mg \) at four different positions:1. **Position 1**: At the bottom of the loop, \( \vec{F}_{N1} \) points upwards and \( mg \) points downwards.2. **Position 2**: On the right side of the loop, \( \vec{F}_{N2} \) points towards the center of the loop, and \( mg \) points downward.3. **Position 3**: At the top of the loop, both \( \vec{F}_{N3} \) and \( mg \) point downwards.4. **Position 4**: On the left side of the loop, \( \vec{F}_{N4} \) points towards the center, and \( mg \) points downward.This figure illustrates the balance and changes in forces as the motorcycle moves through the loop. **Problem 43: Understanding Normal Force in Circular Motion**For the normal force in Figure 5.19 to have the same magnitude at all points on the vertical track, the stunt driver must adjust the speed to be different at various points. Suppose, for example, that the track has a radius of 3.0 meters and that the driver goes past point 1 at the bottom with a speed of 15 meters per second. What speed must she have at point 3, so that the normal force at the top has the same magnitude as it did at the bottom?**Explanation:**In this problem, we explore the dynamics of a stunt driver maneuvering through a vertical loop of radius 3 meters. At the bottom of the loop (point 1), the driver has a speed of 15 m/s. The challenge is to determine the necessary speed at the top of the loop (point 3) to ensure that the normal force experienced is consistent at both the top and the bottom of the loop.The dynamics of this situation depend on the principles of circular motion, specifically the relationship between velocity, gravitational force, and normal force. For the normal force to remain constant throughout the loop, adjustments in speed are required due to changes in gravitational influence at different points of the loop. Key factors to consider include:- Centripetal force requirements- Energy conservation (potential and kinetic energy trade-offs)- The effect of gravitational force at the top and bottom of the loop.By applying these principles, one can solve for the required speed at the top of the loop.

Answered: Image /qna-images/answer/124971f6-6c14-4106-a354-7ed7d48010ce.jpg

43. ssm For the normal force in Figure 5.19 to have the same magni- tude at all points on the vertical track, the stunt driver must adjust the speed to be different at different points. Suppose, for example, that the track has a radius of 3.0 m and that the driver goes past point 1 at the bottom with a speed of 15 m/s. What speed must she have at point 3, so that the normal force at the top has the same magnitude as it did at the bottom?

43. ssm For the normal force in Figure 5.19 to have the same magni- tude at all points on the vertical track, the stunt driver must adjust the speed to be different at different points. Suppose, for example, that the track has a radius of 3.0 m and that the driver goes past point 1 at the bottom with a speed of 15 m/s. What speed must she have at point 3, so that the normal force at the top has the same magnitude as it did at the bottom?

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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