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Definitions
Ff = μ * FN
Ff is the friction pulling back on the object (force of friction)
μ is the coefficient of friction. It is either a kinetic (if it is already moving) or static (if it isn�t already moving)
Fs is static friction
Fk is kinetic friction
Ff is the Fsmax when μ is the static coefficient
FN is the Normal force (in our case it is the weight and is measured in newtons (N))
FN =Mg (mass*gravitational pull)
Question 1
A force of 10N to the right is acting on a wooden crate on a horizontal wooden floor initially moving to the right. The crate weighs 25N.
1. Calculate the magnitude of the force of friction on the floor.
Ff = μ * FN
FN = 25N
μ= kinetic(.30)/static(.42) -its on the table #4
Ff = μ * FN
Ff =(.30)*(25)=7.5
Answer: Ff (or force of friction) =7.5
2. What is the magnitude of the net force acting on the crate?
Fy (are the forces acting on it in the y direction (y-axis)) � there is its weight of 25N going down, and the table pushing up with equal force up � so there is no net force in y direction
Fx (are the forces acting on it in the x direction (x-axis)) � there is the force of friction of 7.5N in the �x direction (-7.5) and you are exerting a force of 10N in the +x direction (+10) � the net forces in the x direction is (-7.5+10) =2.5N
Answer: 2.5 N
3. Is the crate accelerating?
Answer: yes because Fnet =MA and since you know there is a net force, the acceleration cant be 0 because that would make the net force 0 (Fnet =MA(0), M*0=0= Fnet)
Question 2
A force of 10N is exerted on a steel crate, on a steel horizontal platform, initially moving to the right. The crate weighs 40N. Calculate the magnitude of the force of friction between the crate and the floor.
Ff = μ * FN
Ff = x
FN = 40N
μ = kinetic(.57)/static(.74)
μ * FN
(40)*(.57) =22.8N=Static friction
Answer: 22.8N
Question 3: (pg. 107, 23 from textbook)
A force of 40N accelerates a 5.0-kg block at 6.0m/s2 along a horizontal surface.
Fnet =MA
Fnet = (40-x) = MA = (5.0)*(6.0) = 30 = (40-x)
x = 10 = Ff
Answer: Ff =10N
Ff = μ * FN
FN = Mg (5.0)*(9.8) =49
Ff =10N
10 = (x)*(49)
x = .204
Answer: μ=.204
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