How much work would it take to push a # 2 kg # weight up a # 9 m # plane that is at an incline of # pi / 4 #?

1 Answer
Jun 3, 2017

Answer:

I got #125J#

Explanation:

Let us consider the diagram:
enter image source here
with:
#alpha=pi/4#
#d=9m#

and the fact that the work done will result in an increase of Potential Energy (Gravitational) #U# so that:

#W=U=mgh#

but #h=dsin(alpha)#
so:

#W=mg*dsin(alpha)=2*9.8*9sin(pi/4)=124.7~~125J#