Sure, let's solve this problem step-by-step using Newton's second law of motion.
Newton's second law of motion states that the force acting on an object is equal to the mass of that object multiplied by its acceleration. Mathematically, this can be expressed as:
[tex]\[ F = m \cdot a \][/tex]
Where:
- [tex]\( F \)[/tex] is the force,
- [tex]\( m \)[/tex] is the mass of the object, and
- [tex]\( a \)[/tex] is the acceleration.
Let's apply these values into the formula:
1. The mass ([tex]\( m \)[/tex]) of the object is given as 50 kg.
2. The acceleration ([tex]\( a \)[/tex]) of the object is given as [tex]\(0.30 \, m/s^2\)[/tex].
Now, simply multiply the mass and the acceleration:
[tex]\[ F = 50 \, \text{kg} \times 0.30 \, \text{m/s}^2 \][/tex]
[tex]\[ F = 15 \, \text{N} \][/tex]
Thus, the force acting on the 50 kg mass to give it an acceleration of [tex]\( 0.30 \, \text{m/s}^2 \)[/tex] is [tex]\( 15 \, \text{N} \)[/tex].
