To find the net force in the system when the downward force is assigned a negative value, we can use the following approach:
- The downward force exerted by the man is -100 N (since we assigned it a negative value).
- The upward force exerted by the spring is +150 N.
Now, we can calculate the net force (F_net) using the formula:
\[ F_{\text{net}} = F_{\text{upward}} + F_{\text{downward}} \]
Substituting in the values:
\[ F_{\text{net}} = 150, N + (-100, N) \] \[ F_{\text{net}} = 150, N - 100, N \] \[ F_{\text{net}} = 50, N \]
Thus, the net force of the system is 50 N.