Question
What is the force required to accelerate a 200 kg object to 5 m/s^2 in 2 seconds?
Answers
GPT-4o mini
To find the force required to accelerate an object, we can use Newton's second law of motion, which states:
\[ F = m \cdot a \]
where:
- \( F \) is the force,
- \( m \) is the mass of the object,
- \( a \) is the acceleration.
Given:
- \( m = 200 \, \text{kg} \)
- \( a = 5 \, \text{m/s}^2 \)
Now we can substitute the values into the formula:
\[ F = 200 \, \text{kg} \cdot 5 \, \text{m/s}^2 \]
Calculating this gives:
\[ F = 1000 \, \text{N} \]
Therefore, the force required to accelerate the 200 kg object to 5 m/s² is **1000 Newtons**.
\[ F = m \cdot a \]
where:
- \( F \) is the force,
- \( m \) is the mass of the object,
- \( a \) is the acceleration.
Given:
- \( m = 200 \, \text{kg} \)
- \( a = 5 \, \text{m/s}^2 \)
Now we can substitute the values into the formula:
\[ F = 200 \, \text{kg} \cdot 5 \, \text{m/s}^2 \]
Calculating this gives:
\[ F = 1000 \, \text{N} \]
Therefore, the force required to accelerate the 200 kg object to 5 m/s² is **1000 Newtons**.