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}\\). 1.8 \\(\frac{m}{s^2}\\) 4.9 \\(\frac{m}{s^2}\\) 2.2 \\(\frac{m}{s^2}\\) 0.5 \\(\frac{m}{s^2}\\)

Explanation:

Step1: Recall the formula \( F = ma \) and solve for \( a \)

We can rearrange the formula to solve for acceleration \( a \) by dividing both sides of the equation by \( m \). So, \( a=\frac{F}{m} \).

Step2: Substitute the given values of \( F \) and \( m \) into the formula

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

Step3: Perform the division

Calculating \( \frac{7.92}{3.6} \), we know that \( 3.6\times2.2 = 7.92 \), so \( a = 2.2 \) \( \frac{m}{s^{2}} \).

Answer:

\( 2.2\ \frac{m}{s^{2}} \) (corresponding to the option with \( 2.2\ \frac{m}{s^{2}} \))