Sure! To find the force required to accelerate an object, we can use Newton's second law of motion. Newton's second law states that the force [tex]\( F \)[/tex] acting on an object is equal to the mass [tex]\( m \)[/tex] of the object multiplied by its acceleration [tex]\( a \)[/tex]. The formula is:
[tex]\[ F = m \times a \][/tex]
Let's break it down step-by-step:
1. Identify the given values:
- Mass [tex]\( m \)[/tex] of the object is 13.5 kilograms.
- Acceleration [tex]\( a \)[/tex] is [tex]\( 9.5 \, \text{m/s}^2 \)[/tex].
2. Use the formula to calculate the force:
Substituting the given values into the formula:
[tex]\[
F = 13.5 \, \text{kg} \times 9.5 \, \text{m/s}^2
\][/tex]
3. Perform the multiplication:
[tex]\[
F = 128.25 \, \text{N}
\][/tex]
So, the force required to accelerate the object is [tex]\( 128.25 \, \text{N} \)[/tex].
Therefore, the correct answer is:
B. [tex]\( 128.25 \, \text{N} \)[/tex]
