**Problem 15:**A cube of mass \( m \) is initially at rest at the highest point of an inclined plane, which has a height of \( 6.63 \, \text{m} \) and an angle of \( \theta = 17.7^\circ \) with respect to the horizontal. After it has been released, it is found to be traveling at \( v = 0.19 \, \text{m/s} \) a distance \( d \) after the end of the inclined plane, as shown. The coefficient of kinetic friction between the cube and the plane is \( \mu_p = 0.1 \), and the coefficient of friction on the horizontal surface is \( \mu_r = 0.2 \).**Diagram Explanation:**- The diagram shows a cube labeled \( m \) at the bottom of an inclined plane.- The inclined plane has height \( h \) and angle \( \theta \) with respect to the horizontal.- After traveling down the incline, the cube slides a distance \( d \) along a horizontal surface with velocity \( v \).**Task:**Find the distance \( d \), in meters.**Calculation Input:**- An input box for entering the calculated distance \( d \).- A calculator interface with trigonometric functions, allowing input using either degrees or radians.**Note:** The problem requires considering the effects of friction on both the inclined plane and the horizontal surface.

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Problem 15: A cube of mass m is initially at rest at the highest point of an inclined plane which has a height of 6.63 m and has an angle of 0 = 17.7' with respect to the horizontal. After it has been released, it is found to be traveling at v= 0.19 m/s a distance d after the end of the inclined plane, as shown. The coefficient of kinetic friction between the cube and the plane is up = 0.1, and the coefficient of friction on the horizontal surface is μ = 0.2. h m Find the distance, d, in meters. d=1 m 01 X V m

Problem 15: A cube of mass m is initially at rest at the highest point of an inclined plane which has a height of 6.63 m and has an angle of 0 = 17.7' with respect to the horizontal. After it has been released, it is found to be traveling at v= 0.19 m/s a distance d after the end of the inclined plane, as shown. The coefficient of kinetic friction between the cube and the plane is up = 0.1, and the coefficient of friction on the horizontal surface is μ = 0.2. h m Find the distance, d, in meters. d=1 m 01 X V m

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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Concept explainers

Static and Kinetic Friction

Kinetic friction comes into existence when there are moving surfaces means in other words we can say that the force which comes into existing between moving surfaces is known as kinetic friction.

Question

**Problem 15:**

A cube of mass \( m \) is initially at rest at the highest point of an inclined plane, which has a height of \( 6.63 \, \text{m} \) and an angle of \( \theta = 17.7^\circ \) with respect to the horizontal. After it has been released, it is found to be traveling at \( v = 0.19 \, \text{m/s} \) a distance \( d \) after the end of the inclined plane, as shown. The coefficient of kinetic friction between the cube and the plane is \( \mu_p = 0.1 \), and the coefficient of friction on the horizontal surface is \( \mu_r = 0.2 \).

**Diagram Explanation:**

- The diagram shows a cube labeled \( m \) at the bottom of an inclined plane.
- The inclined plane has height \( h \) and angle \( \theta \) with respect to the horizontal.
- After traveling down the incline, the cube slides a distance \( d \) along a horizontal surface with velocity \( v \).

**Task:**

Find the distance \( d \), in meters.

**Calculation Input:**

- An input box for entering the calculated distance \( d \).
- A calculator interface with trigonometric functions, allowing input using either degrees or radians.

**Note:** The problem requires considering the effects of friction on both the inclined plane and the horizontal surface.

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