To determine the force required to accelerate a body with a given mass at a specified rate, we can use Newton's second law of motion. This law states that the force [tex]\( F \)[/tex] applied to an object is equal to the mass [tex]\( m \)[/tex] of the object multiplied by the acceleration [tex]\( a \)[/tex] of the object. Mathematically, it can be expressed as:
[tex]\[ F = m \times a \][/tex]
Given:
- The mass of the body, [tex]\( m \)[/tex], is 15 kilograms.
- The acceleration, [tex]\( a \)[/tex], is [tex]\( 8 \, \text{m/s}^2 \)[/tex].
Now, substituting the given values 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 to accelerate the body is 120 Newtons.
So, the best answer for the question is:
A. 120 N
