Question

Calculate the work expended when a particle is moved from O = (0,0) to Q = (7,7) along the segments $\overline{OP}$ and $\overline{PQ}$ in the presence of the force field F = ($x^2$, $y^2$).

Name: Calculate the work expended when a particle is moved from O = (0,0) to Q = (7,7) along the segments OP and PQ in the presence of the force field F = (x^2, y^2).
Uploaded: 2022-06-21T02:48:27-08:00
Duration: 2 min 17 s
Channel: Adi S
Description: Calculate the work expended when a particle is moved from O = (0,0) to Q = (7,7) along the segments OP and PQ in the presence of the force field F = (x^2, y^2).

          Calculate the work expended when a particle is moved from O = (0,0) to Q = (7,7) along the segments $\overline{OP}$ and $\overline{PQ}$ in the presence of the force field F = ($x^2$, $y^2$).

Added by Wayne B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

06/21/2022

Step 1

The displacement vector d along OP is given by d = <7, 7> - <0, 0> = <7, 7>. The dot product of F = <x^2, y^2> and d = <7, 7> is: F · d = (x^2)(7) + (y^2)(7) = (7^2)(7) + (7^2)(7) = 98 + 98 = 196. Therefore, the work expended along the segment OP is: W1 = ∫ F · Show more…

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Calculate the work expended when a particle is moved from O=(0,0) to Q=(7,7) along the segments /bar (OP) and /bar (PQ) in the presence of the force field F=(:x^(2),y^(2):). Calculate the work expended when a particle is moved from O = (0, 0) to Q = (7, 7) along the segments OP and PQ in the presence of the force field F = (x2, y2)