**Transcription and Explanation:****Text:**A roller-coaster car with mass 840 kg is launched from a huge spring with k = 31 kN/m into a frictionless loop-the-loop track of radius 6.2 m, as shown below. If the spring is compressed a distance of 2.869 m, what is the magnitude of the car's velocity at the top of the loop?**Diagram:**The diagram illustrates a roller-coaster car positioned at the beginning of a loop-the-loop track. The car is propelled by a large spring, depicted on the left side, that is compressed. The track forms a complete vertical loop, showing the path the car will follow. - The spring, linked to the car, represents the potential energy source that will be converted into kinetic energy as the spring releases.- The loop has a circular shape with a clearly defined radius of 6.2 meters.- The car in the diagram is shown in a simplified form to emphasize the track's design and spring mechanism.This scenario is designed to explore the principles of energy conservation and dynamics, focusing on how potential energy from the spring converts into kinetic energy to propel the car through the loop, especially examining the velocity at the loop's highest point.

Use conservation of energy to find the magnitude of the velocity at the top of the loop as shown…

A roller-coaster car with mass 840 kg is launched from a huge spring with k = 31 kN/m into a frictionless loop-the-loop track of radius 6.2 m, as shown below. If the spring is compressed a distance of 2.869 m, what is the magnitude of the car's velocity at the top of the loop?

A roller-coaster car with mass 840 kg is launched from a huge spring with k = 31 kN/m into a frictionless loop-the-loop track of radius 6.2 m, as shown below. If the spring is compressed a distance of 2.869 m, what is the magnitude of the car's velocity at the top of the loop?

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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