How much work would it take to push a # 1 kg # weight up a # 3m # plane that is at an incline of # pi / 4 #?
This requires 20.8 J of work done.
The definition of work is
but care must be taken in using the formula as the angle
Here, the force we work against is the force of gravity, so the angle in the above formula is the one between the incline and the vertical.
This means it is not
So, if the mass of the object is