math question..

Question

Find the acute angle that a constant unit force vector makes with the positive x-axis if the work done by the force in moving a particle from (0, 0) to (4, 0) equals 2. Show steps taken

Answer 1

Set the dot product Fdcosθ equal to the work W and solve for θ.

F = 1

d = 4 - 0 = 4

W = 2

Fd cosθ = W

(1)(4)cosθ = 2

cosθ = 1/2

θ = 60°