How much work would it take to push a 1 kg weight up a 3 m plane that is at an incline of (5pi) / 12 ?

1 Answer
Jul 29, 2017

W = 28.4 "J"

Explanation:

I'll assume the incline plane is frictionless, as no information is given.

We're asked to find the total work done on a 1-"kg" object as it is pushed up an incline 3 "m" long and at an angle of (5pi)/12.

The force is given by

F = mgsintheta = (1color(white)(l)"kg")(9.81color(white)(l)"m/s"^2)sin((5pi)/12)

= 9.48 "N"

Now, we use the equation

W = Fs (one-dimensional)

to find the necessary work (s = 3 "m"):

W = (9.48color(white)(l)"N")(3color(white)(l)"m") = color(red)(ul(28.4color(white)(l)"J"