Force, constant speed, friction, acceleration

AI Thread Summary
To solve the problem of an empty crate sliding at 7 m/s that encounters a rough patch with a coefficient of kinetic friction of 0.25, the first step is to calculate the acceleration due to friction. The acceleration can be determined using the formula a = -μg, where μ is the coefficient of friction and g is the acceleration due to gravity. Next, apply the kinematic equation to find the distance it takes for the crate to stop, using the initial speed, final speed (0 m/s), and the calculated acceleration. Energy methods can also be employed to analyze the work done by friction in bringing the crate to a stop. Ultimately, the solution involves understanding the relationship between friction, acceleration, and distance.
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I would really appreciate any help on this. I'm confused with this.

Homework Statement


An empty crate is sliding witha speed of 7m/s over a frictionless surface when it hits a rough patch where .25 is the coefficient of kinetic friction. Find the distance it takes to stop the box.

The Attempt at a Solution


Should I calculate acceleration first and if so how do I do the rest of the problem?
 
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Hint: Try using energy methods.
 
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