Question

Find the amount of work W done by a force F = 115i +350j

in moving an object in a straight line given by the displacement vector D = -13i+15j.

Answer 1

The work is equal to the dot product of the force and displacement vectors:
W = (115 i + 350 j) • (-13 i + 15 j)

W = 115 × (-13) + 350 × 15

W = 3755