One end of a rope is tied to a 11 kg hanging weight. The rope goes over a pulley and the other end is tied to a 11.7 kg block on flat ground and pulls the block horizontally towards the pulley. The coefficient of kinetic friction is .2. The block is sliding away from the pulley at 3.0 m/s (the weight is being pulled upwards). What is the magnitude of the acceleration of the block in meters per second squared?

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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**Physics Problem: Pulley System and Friction**

One end of a rope is tied to a 11 kg hanging weight. The rope goes over a pulley and the other end is tied to a 11.7 kg block on flat ground and pulls the block horizontally towards the pulley. The coefficient of kinetic friction is 0.2. The block is sliding away from the pulley at 3.0 m/s (the weight is being pulled upwards). What is the magnitude of the acceleration of the block in meters per second squared?

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**Explanation**

This physics problem involves a classic mechanics setup featuring a pulley, two masses, and kinetic friction. Here, the focus is on determining the acceleration of the block as it moves horizontally.

Relevant points for an educational focus:
- **Pulley Dynamics**: Understand how tension in the rope affects both the hanging weight and the block on the ground.
- **Frictional Force**: Consider the impact of kinetic friction (calculated using the coefficient of friction) on the block’s motion.
- **Calculating Acceleration**: Use Newton’s Second Law and incorporate both gravitational and frictional forces.
Transcribed Image Text:Certainly! Here is the transcription and description suitable for an educational website. --- **Physics Problem: Pulley System and Friction** One end of a rope is tied to a 11 kg hanging weight. The rope goes over a pulley and the other end is tied to a 11.7 kg block on flat ground and pulls the block horizontally towards the pulley. The coefficient of kinetic friction is 0.2. The block is sliding away from the pulley at 3.0 m/s (the weight is being pulled upwards). What is the magnitude of the acceleration of the block in meters per second squared? --- **Explanation** This physics problem involves a classic mechanics setup featuring a pulley, two masses, and kinetic friction. Here, the focus is on determining the acceleration of the block as it moves horizontally. Relevant points for an educational focus: - **Pulley Dynamics**: Understand how tension in the rope affects both the hanging weight and the block on the ground. - **Frictional Force**: Consider the impact of kinetic friction (calculated using the coefficient of friction) on the block’s motion. - **Calculating Acceleration**: Use Newton’s Second Law and incorporate both gravitational and frictional forces.
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