If-the-constant-forces-2i-5j-6k-and-i-2j-k-act-on-a-particle-due-to-which-it-is-displaced-from-a-point-A-4-3-2-to-a-point-B-6-1-3-then-the-work-done-by-the-forces-is-

Question Number 58055 by Salomon M. last updated on 17/Apr/19

If the constant forces 2 i - 5 j + 6 k and

- i + 2 j - k act on a particle due to which

it is displaced from a point A (4, - 3, - 2)

to a point B (6, 1, - 3), then the work

done by the forces is

Answered by Kunal12588 last updated on 17/Apr/19

T o t a l F o r c e \vec{F} = {\vec{F}}_{1} + {\vec{F}}_{2}

\vec{F} = (2 i - 5 j + 6 k) + (- i + 2 j - k)

= i - 3 j + 5 k

{\vec{s}}_{2} = 6 i + j - 3 k

{\vec{s}}_{1} = 4 i - 3 j - 2 k

\vec{s} = {\vec{s}}_{2} - {\vec{s}}_{1} = 2 i + 4 j - k

W = \vec{F} \cdot \vec{s} = (i - 3 j + 5 k) \cdot (2 i + 4 j - k)

= 2 - 12 - 5 = - 15

Commented by Kunal12588 last updated on 17/Apr/19

t h a n k s s i r

Commented by tanmay last updated on 17/Apr/19

k u n a l \dots (2 i - 5 j + 6 k) + (- i + 2 j - k)

= i - 3 j + 5 k

s_{2} = 6 i + j - 3 k

s_{1} = 4 i - 3 j - 2 k

s_{2} - s_{1} = 2 i + 4 j - k

W = (i - 3 j + 5 k) . (2 i + 4 j - k)

= 2 - 12 - 5

= - 15

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