How much work would it take to push a # 5 kg # weight up a # 1 m # plane that is at an incline of # pi / 4 #?

1 Answer
Mar 7, 2018

I tried this:

Explanation:

Consider the diagram (where #l=1m#):
enter image source here
We know that the Work will result in a change in potential energy of the crane so that:

#W=DeltaU=mgh-0#

(zero at the bottom of the ramp)

where:

#h=lsin(pi/4)=1*sqrt(2)/2#

and so:

#W=5*9.8*sqrt(2)/2=34.6~~35J#