To determine the force required to accelerate a body, we can use Newton's second law of motion. This law states that the force applied to an object is equal to the mass of the object multiplied by its acceleration. The formula is given by:
[tex]\[ F = m \times a \][/tex]
Where:
- [tex]\( F \)[/tex] is the force,
- [tex]\( m \)[/tex] is the mass,
- [tex]\( a \)[/tex] is the acceleration.
Given:
- The mass ([tex]\( m \)[/tex]) is 15 kilograms,
- The acceleration ([tex]\( a \)[/tex]) is [tex]\( 8 \, \text{m/s}^2 \)[/tex].
Using the given values:
[tex]\[ F = 15 \, \text{kg} \times 8 \, \text{m/s}^2 \][/tex]
By performing the multiplication:
[tex]\[ F = 120 \, \text{N} \][/tex]
Therefore, the force required to accelerate a body with a mass of 15 kilograms at a rate of [tex]\( 8 \, \text{m/s}^2 \)[/tex] is [tex]\( 120 \)[/tex] Newtons. The correct answer is:
C. 120 N
