Final answer:
The net force acting on the object is 90.10 N.
Step-by-step explanation:
In this problem, three forces act on an object. One force has a magnitude of 79.5 N and is directed due north. Another force has a magnitude of 42.3 N.
To find the net force, we need to use the Pythagorean theorem. The northward force of 79.5 N and the westward force of 42.3 N form a right triangle. The net force can be found by taking the square root of the sum of the squares of the two forces. Using the Pythagorean theorem, we can calculate the net force as:
Net Force = sqrt((79.5 N)^2 + (42.3 N)^2) = sqrt(6336.75 N^2 + 1789.29 N^2) = sqrt(8125.04 N^2) = 90.10 N
Therefore, the net force acting on the object is 90.10 N.