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{\text{kg} \cdot \text{m}}{\text{s}^2}\\).

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

Explanation:

Rearrange the formula for acceleration

Using the Rearranging Formulas knowledge point

$$
LATEXBLOCK0
$$

Substitute the given values

Using the Linear Equations knowledge point

$$
LATEXBLOCK1
$$

Calculate the numerical value

$$
LATEXBLOCK2
$$

Answer:

• (A) \(0.5\frac{\text{m}}{\text{s}^2}\)
• (B) \(1.8\frac{\text{m}}{\text{s}^2}\)
• (C) \(2.2\frac{\text{m}}{\text{s}^2}\) (Correct answer)
• (D) \(4.9\frac{\text{m}}{\text{s}^2}\)