Question
Makayla pushes a 200 kg box of books across the floor. The box accelerates at 0.4 m/s2 . Ignoring outside forces, calculate the force on the box.
Answers
GPT-4o mini
To calculate the force on the box, 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, and
- \( a \) is the acceleration.
Given:
- The mass \( m = 200 \) kg,
- The acceleration \( a = 0.4 \) m/s².
Now, substituting the values into the equation:
\[
F = 200 \, \text{kg} \cdot 0.4 \, \text{m/s}^2
\]
Calculating this gives:
\[
F = 80 \, \text{N}
\]
Thus, the force on the box is **80 Newtons**.
\[
F = m \cdot a
\]
where:
- \( F \) is the force,
- \( m \) is the mass of the object, and
- \( a \) is the acceleration.
Given:
- The mass \( m = 200 \) kg,
- The acceleration \( a = 0.4 \) m/s².
Now, substituting the values into the equation:
\[
F = 200 \, \text{kg} \cdot 0.4 \, \text{m/s}^2
\]
Calculating this gives:
\[
F = 80 \, \text{N}
\]
Thus, the force on the box is **80 Newtons**.