How much work would it take to push a # 4 kg # weight up a # 12 m # plane that is at an incline of # pi / 6 #?

1 Answer
Gió
Jan 5, 2016

I found: #235.2J#

Explanation:

I considered the following diagram:
enter image source here
Here I imagine the object moving up at constant velocity having zero acceleration.
From the equations of Newton's Law we get:

#F=W_x=mg*sin(pi/6)=4*9.8*0.5=19.6N#

We now can evaluate the work done as:

#W=vecF*vecd=F*d# (force and displacement in the same direction).

Where #d# represents the displacement. So:
#W=19.6*12=235.2J#.

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