To determine the force required to accelerate a body with a mass of 15 kilograms at a rate of [tex]\(8 \, \text{m/s}^2\)[/tex], we will use Newton's second law of motion. Newton's second law states that Force (F) is the product of mass (m) and acceleration (a), represented by the formula:
[tex]\[ F = m \cdot a \][/tex]
Given:
- Mass ([tex]\(m\)[/tex]) = 15 kilograms
- Acceleration ([tex]\(a\)[/tex]) = [tex]\(8 \, \text{m/s}^2\)[/tex]
Substitute the values for mass and acceleration into the formula:
[tex]\[ F = 15 \, \text{kg} \times 8 \, \text{m/s}^2 \][/tex]
[tex]\[ F = 120 \, \text{N} \][/tex]
Therefore, the force required is 120 Newtons (N).
The best answer for the question is:
D. 120 N
