How much work does it take to push an object with a mass of #2 kg# up a #1 m# ramp, if the ramp has an incline of #(5pi)/12 # and a kinetic friction coefficient of #7 #?

1 Answer
Dec 29, 2017

Answer:

The work is #=54.4J#

Explanation:

Resolving in the direction parallel to the plane #↗#

#"Force to push up the object "= "component of the weight parallel to the plane"+ "force of kinetic friction"#

#F=mu_k*mgcostheta+mgsintheta#

The work done is

#W=Fxxd#

The mass of the object is #m=2kg#

The distance #d=1m#

The angle #theta=5/12pi#

The coefficient of kinetic friction is #mu_k=7#

The acceleration due to gravity is #g=9.8ms^-2#

Therefore,

The work done is

#W=(7*2*9.8*cos(2/12pi)+2*9.8sin(5/12pi))*1#

#=54.4J#