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 #?

1 Answer
Apr 3, 2016

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#