How much work does it take to push an object with a mass of #2 kg# up a #3 m# ramp, if the ramp has an incline of #(5pi)/12 # and a kinetic friction coefficient of #2 #?
W = 87.21 J
The ramp is at an angle of 75 degrees, so to find the force of gravity pulling it down, we find:
Now, to find the for of the opposing friction force, we find:
In the case of a ramp, normal force is only the component of gravity perpendicular to the ramp, so:
Now we can use F_"net" = ma to find set up total force. And assuming the minimum work is wanted, a (an subsequently m) will be set to 0.
Now to find work, use W= f*d cos(theta), where theta will be set to 0 as we assume the force is applied in the same direction of the ramp.