Stopping distance and static friction

  • Thread starter sp3sp2sp
  • Start date
  • #1
100
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Homework Statement


A large box of mass M is moving on a horizontal surface at speed v_0. A small box of mass m sits on top of the large box. The coefficients of static and kinetic friction between the two boxes are μs and μk, respectively.
Find an expression for the shortest distance dmin in which the large box can stop without the small box slipping.
Express your answer in terms of the variables v0, μs, and appropriate constants.

Homework Equations


F=μN
a=F/m

delta S = -v_i^2 / (2a_s)


= -v_0^2 / 2a_s


The Attempt at a Solution


Question asks for minimum stopping distance, delta s, I am looking for the max deceleration that wont have greater force than the force due to static friction, μN.

dmin = -v_0^2 / 2(u_s/m)
Is this correct?
thanks for any help
 

Answers and Replies

  • #2
35,924
12,756
Do the units match?
Without matching units it cannot be right.
 

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