How much work would it take to push a # 1 kg # weight up a # 3 m # plane that is at an incline of # (5pi) / 12 #?

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Answer 1 · 2017-07-29T19:29:12

#W = 28.4# #"J"#

I'll assume the incline plane is frictionless, as no information is given.

We're asked to find the total work done on a #1#-#"kg"# object as it is pushed up an incline #3# #"m"# long and at an angle of #(5pi)/12#.

The force is given by

#F = mgsintheta = (1color(white)(l)"kg")(9.81color(white)(l)"m/s"^2)sin((5pi)/12)#

#= 9.48# #"N"#

Now, we use the equation

#W = Fs# (one-dimensional)

to find the necessary work (#s = 3# #"m"#):

#W = (9.48color(white)(l)"N")(3color(white)(l)"m") = color(red)(ul(28.4color(white)(l)"J"#