Question

in physics class, carrie learns that a force, f, is equal to the mass of an object, m, times its acceleration, a. she writes the equation f = ma. using this formula, what is the acceleration of an object with f = 7.92 newtons and m = 3.6 kilograms? express your answer to the nearest tenth. note: the unit for force (the newton) is measured in \\( \frac{kg\cdot m}{s^{2}} \\). 0.5 \\( \frac{m}{s^{2}} \\) 1.8 \\( \frac{m}{s^{2}} \\) 2.2 \\( \frac{m}{s^{2}} \\) 4.3 \\( \frac{m}{s^{2}} \\)

Explanation:

Step1: Rearrange the formula

Given \(F = ma\), we can solve for \(a\) by dividing both sides of the equation by \(m\). So \(a=\frac{F}{m}\).

Step2: Substitute the values

We know that \(F = 7.92\) newtons and \(m = 3.6\) kilograms. Substitute these values into the formula \(a=\frac{F}{m}\), we get \(a=\frac{7.92}{3.6}\).

Step3: Calculate the value

\(\frac{7.92}{3.6}=2.2\)

Answer:

\(2.2\frac{m}{s^{2}}\) (Option C)