A particle moves from point A = (0, 0, 0) to point B = (2π, 0,...

A particle moves from point A = (0, 0, 0) to point B = (2π, 0, 2π), under the action of the force F = xi + yj − zk .

a. Calculate the work done by the force F on the particle if it moves along the conic-helical curve

r(t) = (t cost )i + (t sint )j + tk with 0 ≤ t ≤ 2π.

b. Find a parametric vector equation for the straight line connecting A to B, and calculate the work done by the force F on the particle as it moves along this straight line.

c. Is the force F conservative or not?

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Expert Solution

milcah answered 1 year ago

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