Suppose a man is sitting on a chair and exerting 100 N of force downward, while a spring beneath the chair exerts 150 N of force upward. If you assign a negative value to the downward force, what is the net force of this system?(1 point)

Responses

250 N
250 N

-50 N
-50 N

50 kg
50 kg

50 N

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
3 hours ago

To find the net force in the system when the downward force is assigned a negative value, we can use the following approach:

  1. The downward force exerted by the man is -100 N (since we assigned it a negative value).
  2. 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.