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d Chrome File Edit View History Bookmarks People Window Help 80% Wed 3:22 PM MasteringPhysics: Week 6 i Secure https session masteringphysics.com /myct itemView? assignment ProblemID 76014803 College Physics I Help Close TAMU Week 6 Problem 6.4 Marlin Pictu previous l 2 of 6 l next ups of Problem 6.4 Part A CH 1315 A child goes down a playground slide with an Find the coefficient of kinetic friction between the child and the slide if the slide is inclined at an an of 32.0 below the gle acceleration of 1.18 m/s bile App 0.15 you Submit My Answers Give Up Govt incorrect; Try Again Provide Feedback Continue PhysicsExplanation / Answer
acceleration along the slide = a = 1.18 m./s/s
let the coefficeint for kinetic friciton be mu
mass of baby be m
then force balance perpendicular to the incline gives
N = mg*cos(theta)
hecne force of friction, f = mu*N = mu*mg*cos(theta) [ theta is angle of incline with the horizontal]
force balance along the incline gives us
mg*sin(theta) - f = ma
mg*sin(theta) - mu*mg*cos(theta) = ma
gsin(theta) - mu*gcos(theta) = a
mu = [g*sin(theta) - a]/g*cos(theta)
theta = 32 deg
so, mu = 0.483
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