How much work would it take to push a # 2 kg # weight up a # 4 m # plane that is at an incline of # (5pi) / 12 #?

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Answer 1 · 2016-02-07T13:06:47

#75.73J#

We can use the formula #W=mgh.#

We will use #g =9.8 ms^-2# assuming we are at sea level on earth.
#m=2kg#

Working out #h# needs a bit of trigonometry, the diagram below will help us understand the situation a bit better:

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As it is the opposite surface to the angle, in order to work #h# use #h = 4sin((5pi)/12)#

Now putting all these values into #W = mgh# we get:

#W = 2*9.8*4sin((5pi)/12)=75.73J#