Question

40 n
50 kg
190 n
what is the net force?
what is the acceleration?

Explanation:

Step1: Define upward as positive

Let the upward - acting force be $F_1 = 40\ N$ and the downward - acting force be $F_2=190\ N$.

Step2: Calculate the net force

The net force $F_{net}$ is given by the formula $F_{net}=F_1 - F_2$. Substitute the values: $F_{net}=40 - 190=- 150\ N$. The negative sign indicates that the net force is in the downward direction.

Step3: Use Newton's second law to find acceleration

Newton's second law is $F_{net}=ma$, where $m = 50\ kg$ and $F_{net}=-150\ N$. We can solve for acceleration $a$ by the formula $a=\frac{F_{net}}{m}$. Substitute the values: $a=\frac{-150}{50}=-3\ m/s^{2}$. The negative sign indicates that the acceleration is in the downward direction.

Answer:

Net Force: $-150\ N$
Acceleration: $-3\ m/s^{2}$