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.

1 answer

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.