An object is displaced from point A(2m,3m,4m) to a point B(1 m,2 m,3 m) under a constant force F=(2hati + 3hatj + 4hatk)N. Find the work done by this force in this process.
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The work done by the force in the process is -9J
Given force, F = 2i + 3j + 4k N
and point A = 2i + 3j + 4k
and point B = 1i + 2j + 3k.
Since object is displaced from A to B, the displacement vector,
- X = B - A = -1 - 2 i + 2 - 3 j + 3 - 4 k = -1i -j - k
The work done = F.X
F.X = ( 2i + 3j + 4k).( -i - j - k ) = -2 -3 - 4 = -9J
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