Question

Find the work done by the force F in moving an object from P to Q. F=4 -5 ; P(0,0), Q(3,8)

Answer 1

The work done by the force F in moving the object from P(0,0) to Q(3,8) is -28 J.

Step-by-step explanation:

To find the work done by the force F in moving an object from P to Q, we need to calculate the dot product of the force vector F and the displacement vector D between the two points.

F = (4 N)î - (5 N)ĵ

D = Q - P = (3, 8) - (0, 0)

= (3-0, 8-0) = (3, 8)

Therefore, the work done by the force F in moving the object from P to Q is given by:

W = F • D = (4, -5) • (3, 8) = 4(3) + (-5)(8) = 12 - 40 = -28 J