How much work would it take to push a # 2 kg # weight up a # 2m # plane that is at an incline of # (5pi) / 12 #?

1 Answer
Steve J. · Surya K.
Jan 22, 2018

#37.9J#

Explanation:

The formula for work is #W=Fdcostheta#. In this case the incline does not give us the required value for #theta#. We need to use the complement of the incline.

#theta = "completment of incline" = "pi/2 - (5pi)/12 = (6pi)/12 - (5pi)/12 = pi/12#

Here, #F=2*9.81=19.62N, d=2m, costheta=cos(pi/12)=0.9659#

Now multiply: #19.62*2*0.9659#

#W~=37.9J#

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