**Title: Roller Coaster Physics: Understanding Speed and Height with Frictionless Motion****Description:**In the figure provided, we explore the dynamics of a frictionless roller coaster. The car has a mass of \( m = 805 \, \text{kg} \) and begins its descent from the first hill with an initial speed \( v_0 = 18.0 \, \text{m/s} \) at a height \( h = 41.0 \, \text{m} \).**Objective:**Determine the speed of the roller coaster car at different points on its journey:- (a) at point A,- (b) at point B,- (c) at point C.Additionally, calculate the maximum height the car can reach on the last hill, given that it's too high for the car to cross completely. Use the gravitational acceleration \( g = 9.81 \, \text{m/s}^2 \).**Diagram Explanation:**The diagram shows the path of the roller coaster:- The initial hill (marked as "First hill") is the highest point, where the car's motion starts.- Point A is the next notable point, followed by points B and C along the track's path.- The height at point A is indicated, with points B and C at lower elevations.- The track features a descending and ascending pattern, crucial for understanding energy conversion in the system.This exercise provides a practical application of energy conservation principles in physics, particularly focusing on kinetic and potential energy transformations.

Answered: Image /qna-images/answer/d753cbf8-2a50-4a4c-8d0c-d43d9ae44b11.jpg

805 (8 In the figure, a frictionless roller coaster car of mass m =805. kg tops the first hill with speed vo = 18.0 m/s at height h= 41.0 m. What is the speed of the car at (a) point A, (b) point B, and (c) point C? (d) How high will the car go on the last hill, which is too high for it to cross? Use g-9.81 m/s2. To First hill- h h/2

805 (8 In the figure, a frictionless roller coaster car of mass m =805. kg tops the first hill with speed vo = 18.0 m/s at height h= 41.0 m. What is the speed of the car at (a) point A, (b) point B, and (c) point C? (d) How high will the car go on the last hill, which is too high for it to cross? Use g-9.81 m/s2. To First hill- h h/2

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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