To calculate the force required to accelerate an object, you can use Newton's second law of motion, which states that:
\[ F = m \cdot a \]
where:
- \( F \) is the force,
- \( m \) is the mass of the object,
- \( a \) is the acceleration.
In this case:
- \( m = 12 , \text{kg} \)
- \( a = 65 , \text{m/s}^2 \)
Now, plug in the values:
\[ F = 12 , \text{kg} \cdot 65 , \text{m/s}^2 \]
\[ F = 780 , \text{N} \]
So, the force required to accelerate the 12 kg object by 65 m/s² is 780 N.