Math Problem Statement
The maximum force exerted onto a 34.5 kg box at rest is 28.9 N due to static friction. What is the coefficient of static friction?
Solution
To calculate the coefficient of static friction (), we use the following formula:
Where:
- is the maximum static friction force (28.9 N),
- is the normal force, which is equal to the weight of the box (mass ) times the acceleration due to gravity ().
First, we calculate the normal force:
Now let's solve for ( F_{\text{normal
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Math Problem Analysis
Mathematical Concepts
Physics
Statics
Friction
Formulas
F_friction = mu_s * F_normal
F_normal = m * g
Theorems
Newton's Laws of Motion
Suitable Grade Level
High School Physics
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