A particle is moved around the closed path AB-BC-CD-DE-EF-FA shown, under $\vec{F}$ =(αy î+2αx ĵ) N with α=-1 N m⁻¹. Find the work done in joules.
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Question

A particle is moved around the closed path AB-BC-CD-DE-EF-FA shown, under F ⃗ \vec{F} F =(αy î+2αx ĵ) N with α=-1 N m⁻¹. Find the work done in joules.

G1 Physics · Accepted Answer

Evaluate W=∮F⃗·dr⃗ segment by segment along the six straight portions of the shown path. With α=-1 N m⁻¹ and the stated coordinates, the signed sum is 0.75 J.