Question
A 10kg box is accelerating at 3m/s². How much force is needed to achieve this acceleration?
Answers
GPT-4o mini
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.
- \( F \) 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.