To find the net force acting on the system, we can assign a negative value to the downward force and a positive value to the upward force.
- The downward force (the man's weight exerted on the chair) is \( -100 , \text{N} \).
- The upward force (the spring force) is \( +150 , \text{N} \).
Now, we can calculate the net force:
\[ \text{Net Force} = \text{Upward Force} + \text{Downward Force} = 150 , \text{N} + (-100 , \text{N}) = 150 , \text{N} - 100 , \text{N} = 50 , \text{N} \]
Thus, the net force of this system is 50 N.