# 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 #?

##### 1 Answer

Jul 29, 2017

#### Answer:

#### Explanation:

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

We're asked to find the **total work** done on a

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 (

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