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What is the minimum mass m that will stick and not slip? Express your answer in kg. Your result must contain at least two digits after the decimal point.

What is the minimum mass m that will stick and not slip? Express your answer in kg. Your result must contain at least two digits after the decimal point.

College Physics
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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plz use g=9.8

The image illustrates a block with mass \( m \) positioned on a \( 42^\circ \) inclined plane. The block's coefficients of friction with the surface are given as static friction \( \mu_s = 0.7 \) and kinetic friction \( \mu_k = 0.45 \). The block is connected via a massless string that runs over a massless, frictionless pulley to a hanging block with a mass of 8 kg. The problem asks: **What is the minimum mass \( m \) that will stick and not slip?** Express your answer in kg. Your result must include at least two digits after the decimal point. **Explanation of Diagram:** - A block labeled \( m \) is on a slope angled at \( 42^\circ \). - The slope is connected to a pulley at the top. - The massless string extends over the pulley, connecting to another block hanging vertically, with a mass of 8 kg. The goal is to find the smallest mass \( m \) that will prevent slipping due to friction on the incline.
Transcribed Image Text:The image illustrates a block with mass \( m \) positioned on a \( 42^\circ \) inclined plane. The block's coefficients of friction with the surface are given as static friction \( \mu_s = 0.7 \) and kinetic friction \( \mu_k = 0.45 \). The block is connected via a massless string that runs over a massless, frictionless pulley to a hanging block with a mass of 8 kg. The problem asks: **What is the minimum mass \( m \) that will stick and not slip?** Express your answer in kg. Your result must include at least two digits after the decimal point. **Explanation of Diagram:** - A block labeled \( m \) is on a slope angled at \( 42^\circ \). - The slope is connected to a pulley at the top. - The massless string extends over the pulley, connecting to another block hanging vertically, with a mass of 8 kg. The goal is to find the smallest mass \( m \) that will prevent slipping due to friction on the incline.
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