**Physics Problem: Object on an Incline and Spring Compression**An object of mass 15 kg is released at point A, slides to the bottom of a 30-degree incline, then collides with a horizontal massless spring, compressing it a maximum distance of 0.50 m. The spring constant is 400 N/m, the height of the incline is 2.0 m, and the horizontal surface is frictionless. (Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.)**Diagram Explanation:**- The diagram features an incline with a 30-degree angle from the horizontal. - Point A is at the top of the incline, 2.0 meters above the horizontal ground.- The object on point A is shown as a blue block.- At the base of the incline, there's a horizontal spring.**Questions:**(a) What is the speed of the object (in m/s) at the bottom of the incline?- __ m/s(b) What is the work of friction (in J) on the object while it is on the incline?- __ J(c) The spring recoils and sends the object back toward the incline. What is the speed of the object (in m/s) when it reaches the base of the incline?- __ m/s(d) What vertical distance (in m) does it move back up the incline?- __ m **Title: Analyzing Roller Coaster Dynamics****Introduction:**In an amusement park, a car rolls on a track as shown in the diagram. We are tasked with finding the speed (in m/s) of the car at three points: A, B, and C. It's important to note that the work done by the rolling friction is zero, as the point at which the rolling friction acts on the tires is momentarily at rest, resulting in zero displacement.**Track Description:**- The track begins at the highest point, with the car's velocity \( v = 0 \).- The initial height of the car at the top is 38 meters.- The track descends to point A, which is 14 meters above the ground level.- It then rises to point B, which is 28 meters above the ground level.- Finally, the track ends at point C, at ground level (0 meters).**Graphical Representation:**1. **Path of the Car:** - The track is depicted with a blue line, showing the car's descending and ascending path between points. - Heights are marked with red lines for clarity.2. **Points of Interest:** - **A:** Height of 14 meters. - **B:** Height of 28 meters. - **C:** Ground level.**Objective:**Calculate the speed of the car at points A, B, and C.**Calculation Fields:**- \( v_A = \) ____ m/s- \( v_B = \) ____ m/s- \( v_C = \) ____ m/s**Conclusion:**By understanding the principles of energy conservation and the absence of frictional work, one can calculate the speeds at the specified points on the track. This exercise demonstrates the conversion of potential energy to kinetic energy and vice versa in a frictionless environment, typical of amusement park rides.

Answered: Image /qna-images/answer/5735857b-5eca-4cbe-aa1f-cd226ddd6f66.jpg

-including answers submitted in WebAssign.) A 2.0 m 30° (a) What is the speed of the object (in m/s) at the bottom of the incline? m/s (b) What is the work of friction (in J) on the object while it is on the incline? (c) The spring recoils and sends the object back toward the incline. What is the speed of the object (in m/s) when it reaches the base of the incline? m/s (d) What vertical distance (in m) does move back up the incline?

-including answers submitted in WebAssign.) A 2.0 m 30° (a) What is the speed of the object (in m/s) at the bottom of the incline? m/s (b) What is the work of friction (in J) on the object while it is on the incline? (c) The spring recoils and sends the object back toward the incline. What is the speed of the object (in m/s) when it reaches the base of the incline? m/s (d) What vertical distance (in m) does move back up the incline?

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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