Question

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

Answer 1

I found `42J`

Explanation:

We work against gravity so our work can be found as:
`W=mgh`
where `h` is height (gravitational force is conservative so the work done does not depend upon the path but only on the change in vertical position).
From trigonometry we have that:
`h=1sin(pi/3)=sqrt(3)/2=0.866m`
and:
`W=5*9.8*0.866=42.4~~42J`