Question
What force is required to accelerate a 22,680 kg train at 2 m/s2?
Answers
GPT-4o mini
To find the force required to accelerate an object, you can use Newton's second law of motion, which states:
\[ F = m \times a \]
where:
- \( F \) is the force,
- \( m \) is the mass of the object, and
- \( a \) is the acceleration.
In this case:
- \( m = 22,680 \, \text{kg} \)
- \( a = 2 \, \text{m/s}^2 \)
Now, plug in the values:
\[
F = 22,680 \, \text{kg} \times 2 \, \text{m/s}^2 = 45,360 \, \text{N}
\]
Thus, the force required to accelerate the train is **45,360 newtons** (N).
\[ F = m \times a \]
where:
- \( F \) is the force,
- \( m \) is the mass of the object, and
- \( a \) is the acceleration.
In this case:
- \( m = 22,680 \, \text{kg} \)
- \( a = 2 \, \text{m/s}^2 \)
Now, plug in the values:
\[
F = 22,680 \, \text{kg} \times 2 \, \text{m/s}^2 = 45,360 \, \text{N}
\]
Thus, the force required to accelerate the train is **45,360 newtons** (N).