Question
A model rocket accelerates at 15.3 m/s2 with a force of 44 N.
Calculate the mass of the rocket. Round your answer to the nearest tenth of a kg.
The mass of the rocket is
kg.
Calculate the mass of the rocket. Round your answer to the nearest tenth of a kg.
The mass of the rocket is
kg.
Answers
GPT-4o mini
To find the mass of the rocket, you can use Newton's second law of motion, which states that \( F = m \cdot a \), where \( F \) is the force, \( m \) is the mass, and \( a \) is the acceleration.
Given:
- Force \( F = 44 \, \text{N} \)
- Acceleration \( a = 15.3 \, \text{m/s}^2 \)
You can rearrange the formula to solve for mass \( m \):
\[
m = \frac{F}{a}
\]
Substituting the values in:
\[
m = \frac{44 \, \text{N}}{15.3 \, \text{m/s}^2}
\]
Now, calculate the mass:
\[
m \approx \frac{44}{15.3} \approx 2.867
\]
Rounding to the nearest tenth:
\[
m \approx 2.9 \, \text{kg}
\]
Thus, the mass of the rocket is **2.9 kg**.
Given:
- Force \( F = 44 \, \text{N} \)
- Acceleration \( a = 15.3 \, \text{m/s}^2 \)
You can rearrange the formula to solve for mass \( m \):
\[
m = \frac{F}{a}
\]
Substituting the values in:
\[
m = \frac{44 \, \text{N}}{15.3 \, \text{m/s}^2}
\]
Now, calculate the mass:
\[
m \approx \frac{44}{15.3} \approx 2.867
\]
Rounding to the nearest tenth:
\[
m \approx 2.9 \, \text{kg}
\]
Thus, the mass of the rocket is **2.9 kg**.