A block of mass m is initially at rest at the top of an inclined plane which has a height of 6.18m and makes an angle of θ=25.2∘ with respect to the horizontal. After being released, it is observed to be traveling at v=0.14m/s a distance d after the end of the inclined plane, as shown. The coefficient of kinetic friction between the block and the plane is μp=0.1, and the coefficient of friction on the horizontal surface is μr=0.2.Find the distance, d, in meters. This diagram illustrates a classic physics problem involving a block on an inclined plane. Here is a detailed description of the elements shown:- A block with mass \( m \) is positioned at the top of an incline.- The incline forms an angle \( \theta \) with the horizontal surface.- The height of the incline is labeled as \( h \).- The block slides down the incline and moves a distance \( d \) along a horizontal surface after descending.- Once on the horizontal surface, the block travels with a velocity \( v \).- A coordinate system is included at the top right, with the \( x \) axis pointing right and the \( y \) axis pointing up, indicating the conventional orientation for analyzing motion in two dimensions. This setup is typically used to analyze energy conservation, frictional forces, or acceleration due to gravity.

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Answered: A block of mass m is initially at rest…

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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A block of mass m is initially at rest at the top of an inclined plane which has a height of 6.18m and makes an angle of θ=25.2∘ with respect to the horizontal. After being released, it is observed to be traveling at v=0.14m/s a distance d after the end of the inclined plane, as shown. The coefficient of kinetic friction between the block and the plane is μp=0.1, and the coefficient of friction on the horizontal surface is μr=0.2.

Find the distance, d, in meters.

This diagram illustrates a classic physics problem involving a block on an inclined plane. Here is a detailed description of the elements shown:

- A block with mass \( m \) is positioned at the top of an incline.
- The incline forms an angle \( \theta \) with the horizontal surface.
- The height of the incline is labeled as \( h \).
- The block slides down the incline and moves a distance \( d \) along a horizontal surface after descending.
- Once on the horizontal surface, the block travels with a velocity \( v \).
- A coordinate system is included at the top right, with the \( x \) axis pointing right and the \( y \) axis pointing up, indicating the conventional orientation for analyzing motion in two dimensions.

This setup is typically used to analyze energy conservation, frictional forces, or acceleration due to gravity.

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