How much work does it take to push an object with a mass of #6 kg# up a #1 m# ramp, if the ramp has an incline of #(5pi)/12 # and a kinetic friction coefficient of #7 #?

1 Answer
Jul 8, 2017

Answer:

The work is #=163.3J#

Explanation:

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The coefficient of kinetic friction is

#mu_k=F_r/mgcostheta#

#F_r=mu_kmgcostheta#

The mass is m=6kg#

The coefficient of kinetic friction is #mu_k=7#

The angle is #theta=5/12pi#

The distance is #d=1m#

Resolving in the direction parallel to the plane #↗^+#

The force is

#F=mgsintheta+mu mgcostheta#

The work is

#W=Fd#

#=(mgsintheta+mu mgcostheta)*d#

#=mg(sintheta+mu_kcostheta)*d#

#=6g(sin(5/12pi)+7cos(5/12pi))*1#

#=163.3J#