How Long Will It Take to Stop a Sled?

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To determine how long it takes to stop a sled moving at 8.0 m/s with a kinetic friction coefficient of 0.080 and a total mass of 95 kg, the first step is to calculate the acceleration due to friction. The frictional force can be found using the formula F_friction = μk * m * g, where g is the acceleration due to gravity (approximately 9.81 m/s²). This frictional force will then be used to find the acceleration (a = F/m), which will be negative since it opposes the sled's motion. Finally, using the initial velocity, acceleration, and the kinematic equation, the time to stop can be calculated. Understanding these steps is crucial for solving the problem effectively.
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Homework Statement



While sledding you reach the flat bottom of the hill while moving 8.0 m/s^2. The μ (kinetic) between the sled and snow is μk= .080. The mass of you and the sled is 95 kg. How long does it take to stop the sled?

I'm not sure how to do this problem and I've been trying for a while. if i could please get some help i would greatly appreciate it!
 
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First, what acceleration does the friction provide?
 
im not even really sure how to do that
 

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