What is the coefficient of static friction between the crate and the truck bed?

AI Thread Summary
To determine the coefficient of static friction between the crate and the truck bed, the acceleration of the truck must first be calculated using the given stopping distance and initial speed. A Free Body Diagram (FBD) can help visualize the forces acting on the crate, including the frictional force that prevents it from sliding. The relationship between friction and the normal force is crucial for finding the coefficient of static friction. Once the acceleration is known, it can be used alongside the mass of the crate to solve for the coefficient. Understanding these concepts is essential for solving the problem effectively.
BiggiesGhost
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A crate is in a pickup truck traveling horizontally at 15.0 m/s. The trucks apply the brakes for
28.7 m while stopping with uniform acceleration. What is the coefficient of static friction between the crate and the truck bed if the crate does not slide?


I know how to solve for the coefficient of static friction, but what I'm given in the problem doesn't make since with me to find the mass, normal force, or any of the other required components to find the coefficient of static friction. I'm completely at a loss as to where to begin, can anybody help me out?
 
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Find the acceleration first. Draw a FBD on the block while moving on the truck, how is friction related to any of the forces you will have drawn?
 
What's a FBD?
 
Free Body Diagram
 
Thanks, that helped.
 
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