How much work would it take to push a #12 kg # weight up a # 3 m # plane that is at an incline of # pi / 12 #?

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Answer 1 · 2017-06-07T13:16:51

The work is #=91.31J#

Resolving in the direction parallel to the plane #↗+#

As the component of the weight perpendicular to the plane do not perform work

#F=mgsintheta#

The mass is #m=12kg#

The angle is #theta=1/12pi#

#F=12gsin(1/12pi)=30.44N#

The distance is #d=3m#

The work is

#W=F*d=30.44*3=91.31J#