**Problem 2: Calculating the Angle of an Inclined Plane with Friction**A box slides down an inclined plane with an acceleration that is precisely two-thirds of the value it would have had if the slide had been frictionless. Your task is to calculate the angle of the incline given that the coefficient of kinetic friction of the rough incline is 0.27.Use the following box to input your calculated angle:[......] degreesIn this problem, you are provided with the coefficient of kinetic friction (0.27) and the ratio of the actual acceleration to the frictionless acceleration (two-thirds). Use these values in conjunction with the equations of motion and the coefficients of friction to derive the angle of the incline.---### Additional Educational Information:To solve this problem, you can use principles of physics, specifically Newton's second law and trigonometry. You will set up equations based on the forces acting on the box, including gravitational force, frictional force, and the normal force. By equating the net force along the plane to the box's mass and acceleration, and involving the coefficient of kinetic friction, you can solve for the angle of inclination.No graphs or diagrams are included here; it is purely a theoretical and calculation-based question.

Let the box have a mass m. When this box is on an inclined plane, the weight of the box acting…

2. A box slides down an inclined plane with an acceleration that is precisely two-thirds what it would have been if the slid had been frictionless. Calculate the angle of the incline if the coefficient of kinetic friction of the rough incline is O f60 27

2. A box slides down an inclined plane with an acceleration that is precisely two-thirds what it would have been if the slid had been frictionless. Calculate the angle of the incline if the coefficient of kinetic friction of the rough incline is O f60 27

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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Question

**Problem 2: Calculating the Angle of an Inclined Plane with Friction**

A box slides down an inclined plane with an acceleration that is precisely two-thirds of the value it would have had if the slide had been frictionless. Your task is to calculate the angle of the incline given that the coefficient of kinetic friction of the rough incline is 0.27.

Use the following box to input your calculated angle:

[......] degrees

In this problem, you are provided with the coefficient of kinetic friction (0.27) and the ratio of the actual acceleration to the frictionless acceleration (two-thirds). Use these values in conjunction with the equations of motion and the coefficients of friction to derive the angle of the incline.

---

### Additional Educational Information:
To solve this problem, you can use principles of physics, specifically Newton's second law and trigonometry. You will set up equations based on the forces acting on the box, including gravitational force, frictional force, and the normal force. By equating the net force along the plane to the box's mass and acceleration, and involving the coefficient of kinetic friction, you can solve for the angle of inclination.

No graphs or diagrams are included here; it is purely a theoretical and calculation-based question.

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