A block of mass \( m \) is resting on a 20° slope. The block has coefficients of friction \(\mu_s = 0.80\) (static friction) and \(\mu_k = 0.50\) (kinetic friction) with the surface. It is connected via a massless string over a massless, frictionless pulley to a hanging block of mass 2.0 kg.(a) What is the minimum mass \( m \) that will stick and not slip?(b) If this minimum mass is nudged ever so slightly, it will start being pulled up the incline. What acceleration will it have?**Diagram Explanation:**The diagram shows:- An inclined plane positioned at a 20° angle to the horizontal.- A block of mass \( m \) is placed on the inclined plane.- A string is attached to the block, running over a pulley positioned at the top of the incline.- A second block with a mass of 2.0 kg is hanging vertically from the other end of the string.The forces involved include both the gravitational force acting on both masses, the tension in the string, and the frictional force between the inclined plane and the block of mass \( m \).

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A block of mass m resting on a 20° slope. The block has coefficients of friction μs = 0.80 and μk = 0.50 with the surface. It is connected via a massless string over a massless, frictionless pulley to a hanging block of mass 2.0 kg. (a) What is the minimum mass m that will stick and not slip? (b) If this minimum mass is nudged ever so slightly, it will start being pulled up the incline. What acceleration will it have? m 20° 2.0 kg

A block of mass m resting on a 20° slope. The block has coefficients of friction μs = 0.80 and μk = 0.50 with the surface. It is connected via a massless string over a massless, frictionless pulley to a hanging block of mass 2.0 kg. (a) What is the minimum mass m that will stick and not slip? (b) If this minimum mass is nudged ever so slightly, it will start being pulled up the incline. What acceleration will it have? m 20° 2.0 kg

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

A block of mass \( m \) is resting on a 20° slope. The block has coefficients of friction \(\mu_s = 0.80\) (static friction) and \(\mu_k = 0.50\) (kinetic friction) with the surface. It is connected via a massless string over a massless, frictionless pulley to a hanging block of mass 2.0 kg.

(a) What is the minimum mass \( m \) that will stick and not slip?

(b) If this minimum mass is nudged ever so slightly, it will start being pulled up the incline. What acceleration will it have?

**Diagram Explanation:**

The diagram shows:

- An inclined plane positioned at a 20° angle to the horizontal.
- A block of mass \( m \) is placed on the inclined plane.
- A string is attached to the block, running over a pulley positioned at the top of the incline.
- A second block with a mass of 2.0 kg is hanging vertically from the other end of the string.

The forces involved include both the gravitational force acting on both masses, the tension in the string, and the frictional force between the inclined plane and the block of mass \( m \).

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