Final answer:
The work done by the force F in moving the object from P to Q is -28 Joules.
Step-by-step explanation:
To calculate the work done by a force in moving an object from point P to point Q, we can use the formula W = F · d, where W is the work, F is the force, and d is the displacement vector.
In this case, the force F is given as F = 4i - 5j and the displacement vector from P(0,0) to Q(3,8) is d = 3i + 8j.
Therefore, substituting the values into the formula, we have:
W = (4i - 5j) · (3i + 8j) = 4 * 3 + (-5) * 8 = 12 - 40 = -28.
The work done by the force F in moving the object from P to Q is -28 Joules.