On a farm you are pushing on a stubborn pig with a constant

On a farm, you are pushing on a stubborn pig with a constant horizontal force with magnitude 21.5 N and direction 37.0 counterclockwise from the +x-axis.

How much work does this force do during a displacement of the pig that is

s =(5.00m)^?

How much work does this force do during a displacement of the pig that is s =(6.00m)j^?

How much work does this force do during a displacement of the pig that is

s =(2.00m)^+(4.00m)j^?

Solution

F = 21.5 (cos37i + sin37j) = 17.17i + 12.94j N

and s = 5i m

Work done = F.s

    = (17.17i + 12.94j) (5i) = (17.17 x 5) + (12.94 x 0) = 85.58 J

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s = -6j

W = (17.17i + 12.94j) (-6j) = (17.17 x 0) + (12.94 x -6) = -77.6 J

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s = -2i + 4j

W =   (17.17i + 12.94j) (-2i + 4j)

= (17.17 x -2 ) + (12.94 x 4)

= 17.4 J