please explain the answer with all formula and theory, I have been having trouble understanding the concepts. In the physics laboratory, students are performing a mechanics experiment. Two blocks are connected by a pulley as shown in the figure to the right and are let to move. If the coefficient of kinetic friction between the block and the incline is **0.39**, what is the magnitude of the acceleration of the suspended block as it falls?### Diagram Explanation:The diagram depicts a setup with two blocks connected by a pulley system:- **Block on Incline:** The block on the inclined plane is labeled as $2M$. The incline is at an angle of $30^\circ$ with respect to the horizontal. - **Suspended Block:** This block is labeled as $M$ and hangs vertically from the pulley.- **Pulley System:** A rope passes over a pulley, connecting the two blocks, allowing them to move.The primary forces acting on the inclined block include gravitational force, normal force, and friction, while the suspended block experiences gravitational force. The problem involves calculating the acceleration of the suspended block, accounting for kinetic friction on the incline.

Answered: In the physics laboratory students are…

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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please explain the answer with all formula and theory, I have been having trouble understanding the concepts.

In the physics laboratory, students are performing a mechanics experiment. Two blocks are connected by a pulley as shown in the figure to the right and are let to move. If the coefficient of kinetic friction between the block and the incline is **0.39**, what is the magnitude of the acceleration of the suspended block as it falls?

### Diagram Explanation:

The diagram depicts a setup with two blocks connected by a pulley system:

- **Block on Incline:** The block on the inclined plane is labeled as $2M$. The incline is at an angle of $30^\circ$ with respect to the horizontal.

- **Suspended Block:** This block is labeled as $M$ and hangs vertically from the pulley.

- **Pulley System:** A rope passes over a pulley, connecting the two blocks, allowing them to move.

The primary forces acting on the inclined block include gravitational force, normal force, and friction, while the suspended block experiences gravitational force. The problem involves calculating the acceleration of the suspended block, accounting for kinetic friction on the incline.

Expert Solution

Step 1: There are two blocks of mass 2M and M

Theory and formula:

The problem is based on Newton's second law of motion which says that the net force acting on the object is mass times acceleration of the object.

$straight F subscript net equals ma$

Free body diagram:

To understand the forces acting on an object, we need to draw the component of forces acting the object along assumed x and y directions. From the motion of the object, we need to decide which forces are balanced and which contribute to an unbalanced force along a direction.

Force of friction:

$Force space of space kinetic space friction space is space comma space straight f equals straight mu straight N where comma space straight mu equals space Coefficient space of space kinetic space friction space and space straight N equals space Normal space force space by space the space surface.$

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