How Long Will It Take to Stop a Sled?

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SUMMARY

The discussion centers on calculating the time required to stop a sled moving at an initial speed of 8.0 m/s on a flat surface with a kinetic friction coefficient (μk) of 0.080. The combined mass of the sled and rider is 95 kg. To determine the stopping time, one must first calculate the deceleration caused by friction using the formula a = μk * g, where g is the acceleration due to gravity (approximately 9.81 m/s²). The stopping time can then be found using the equation t = v/a, where v is the initial velocity and a is the calculated deceleration.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Basic knowledge of friction and its coefficients
  • Familiarity with kinematic equations
  • Ability to perform calculations involving acceleration and time
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  • Calculate the deceleration due to friction using the formula a = μk * g
  • Apply the kinematic equation t = v/a to find the stopping time
  • Explore the effects of different friction coefficients on stopping distance
  • Investigate real-world applications of friction in sports and safety
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Students studying physics, educators teaching mechanics, and anyone interested in understanding motion and friction in practical scenarios.

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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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