An object with a mass of #9 kg# is on a plane with an incline of # - pi/4 #. If it takes #24 N# to start pushing the object down the plane and #5 N# to keep pushing it, what are the coefficients of static and kinetic friction?

1 Answer
Nov 11, 2017

#mu_s # = 0.4

#mu_k# = 0.1

Explanation:

24N to (START PUSHING ) = #F_"smax"#

5N to ( KEEP PUSHING IT ) = #F_K#

#mu_"smax"# = #F_"smax"/N#

N = mgcos(#theta#)

#theta# = - #pi/4#

m = 9kg ---- Plug in the numbers to get #mu_"smax"#

#mu_k# = #F_k/N# Do the same thing to get #mu_k#