Question

given the following diagram, answer the following
70 n
20 kg
190 n
net force =
acceleration =
check

Explanation:

Step1: Define upward as positive

Let the upward - acting force $F_1 = 70\ N$ and the downward - acting force $F_2=- 190\ N$.

Step2: Calculate net force

The net force $F_{net}=F_1 + F_2$. Substitute the values: $F_{net}=70+( - 190)=-120\ N$. The negative sign indicates the net force is downward.

Step3: Use Newton's second - law to find acceleration

Newton's second law is $F_{net}=ma$, where $m = 20\ kg$ and $F_{net}=-120\ N$. Then $a=\frac{F_{net}}{m}$. Substitute the values: $a=\frac{-120}{20}=-6\ m/s^{2}$. The negative sign indicates the acceleration is downward.

Answer:

Net Force = $- 120\ N$
Acceleration = $-6\ m/s^{2}$