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

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Answer 1 · 2018-04-17T12:37:36

#110.9# joules

Work is expressed through the equation,

#W=F*d*costheta#

#F# is the force in newtons

#d# is the distance moved in meters

#theta# is the angle of incline

The force here is the weight of the box, which is #4 \ "kg"*9.8 \ "m/s"^2=39.2 \ "N"#.

And so,

#W=39.2 \ "N"*4 \ "m"*cos(pi/4)#

#=(156.8sqrt(2) \ "N m")/2#

#=78.4sqrt(2) \ "J"#

#~~110.9 \ "J"#