Question

an 8 kg block is accelerating at a rate of 12 m/s² while being acted on by two forces. one of the forces equals 30 n. what is the magnitude of the other force? hint: when applying the formula you will get the net force, which is the sum of all forces.

Explanation:

Step1: Calculate the net force

According to Newton's second law \(F_{net}=ma\). Given \(m = 8\space kg\) and \(a=12\space m/s^{2}\), then \(F_{net}=8\times12\).

$$F_{net}=96\space N$$

Step2: Find the unknown force

Let the unknown force be \(F\). We know that \(F_{net}=F + 30\) (assuming the two forces act in the same direction). Then \(F=F_{net}- 30\). Substitute \(F_{net}=96\space N\) into the equation: \(F = 96-30\).

$$F = 66\space N$$

Answer:

\(66\space N\)