To calculate the force required to achieve a certain acceleration, you can use Newton's second law of motion, which states that \( F = m \times a \), where:
- \( F \) is the force,
- \( m \) is the mass of the object, and
- \( a \) is the acceleration.
In this case:
- The mass \( m = 10 , \text{kg} \),
- The acceleration \( a = 3 , \text{m/s}^2 \).
Now, plug the values into the formula:
\[ F = 10 , \text{kg} \times 3 , \text{m/s}^2 = 30 , \text{N} \]
Therefore, a force of 30 Newtons is needed to accelerate the 10 kg box at 3 m/s².