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A body is displaced from vec r(A) =(2hat...

A body is displaced from `vec r_(A) =(2hat i + 4hatj -6hat k)` to `vecr_(B) = (6hat i -4hat j +3 hat k)` under a constant force `vec F = (2 hat i + 3 hat j - hat k)`. Find the work done.

Text Solution

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Work done `W = vec F. vec S, W = vec F.(vec r_(B)-vec r_(A))`
`W = (2 hat i+3 hat j - hat k).[(6 hati - 4 hat j + 2 hat k)-(2 hat i + 4 hat j - 6 hat k)]`
`W = (2 hat I + 3 hat j - hat k).(4 hat I - 8 hat j + 8 hat k)`
`W = 8 - 24 -8 = -24 units`.
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