A box is being moved by the force vs distance function shown

A box is being moved by the force vs. distance function shown at left. This function contains a linear portion (with its equation given) along with constant portions. Determine the work done over the entire force function duration (0 lessthanorequalto s lessthanorequalto 9) by applying the work definition: U_1-2 = integral_s1^s2 F(s) cos theta ds No angle exists between the applied force and the box being moved.

Solution

Work done(W) = total area under the curve

W = A1 + A2 + A3

= (0.5×8×2.667)+(1.333×8)+(4×5)

= 41.332 nm   

= 41.332 j

The total work done (W) = 41.332j