The figure illustrates six different scenarios where a box is released from rest at the top of a frictionless inclined plane. The mass of the box and the initial height from which it is released are provided for each scenario:- **Situation A**: A box with a mass of 10 kg is released from a height of 1 m along a 10 m incline.- **Situation B**: A box with a mass of 10 kg is released from a height of 1 m along a 5 m incline.- **Situation C**: A box with a mass of 5 kg is released from a height of 0.5 m along a 10 m incline.- **Situation D**: A box with a mass of 1 kg is released from a height of 2 m along a 5 m incline.- **Situation E**: A box with a mass of 1 kg is released from a height of 0.5 m along a 5 m incline.- **Situation F**: A box with a mass of 15 kg is released from a height of 0.75 m along a 7.5 m incline.The question posed is: "In which situation will the box have the greatest kinetic energy at the bottom of the incline?"To determine the greatest kinetic energy, calculate the potential energy at the top, which converts completely into kinetic energy at the bottom in a frictionless system. Potential energy \(PE = mgh\), where \(m\) is the mass, \(g\) is the acceleration due to gravity, and \(h\) is the height. The situation with the highest potential energy will result in the greatest kinetic energy at the bottom.

Kinetic energy at the bottom is given by:- E=mgh Hence, from above formula it is clear that kinetic…

Answered: The figure below shows 6 different…

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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The figure below shows 6 different situations in which a box is released from rest at the top of a frictionless inclined plane. The masses and initial heights of the box are given in the figure.