How much work does it take to push an object with a mass of #2 kg# up a #2 m# ramp, if the ramp has an incline of #(11pi)/12 # and a kinetic friction coefficient of #3 #?
1 Answer
My calculator is in the degree mode, so I will convert
Note:
I prefer to use conservation of energy. The top of the ramp has gravitational potential energy of
In addition to that, work was done against the force of friction -- call it
So the sum is
Now I will calculate work using the force *distance method. (Because cos165 has a negative value, I will use cos15 instead of cos165 in the following steps.)
The force of friction from the work above is
Exerting that force over the 2 m length calculates to
There is also some work against gravity. The downslope component of the weight of that mass,
So the work of pushing against that force is
So the sum is
I hope this helps,
Steve