Question
A bicycle has a momentum of 36 kg • m/s and a velocity of 4 m/s. What is the mass of the bicycle?
9 kg
32 kg
40 kg
144 kg
9 kg
32 kg
40 kg
144 kg
Answers
GPT-4o mini
To find the mass of the bicycle, we can use the formula for momentum, which is given by:
\[
\text{Momentum} (p) = \text{mass} (m) \times \text{velocity} (v)
\]
We know the momentum \( p = 36 \, \text{kg} \cdot \text{m/s} \) and the velocity \( v = 4 \, \text{m/s} \). We can rearrange the formula to solve for mass \( m \):
\[
m = \frac{p}{v}
\]
Substituting the known values:
\[
m = \frac{36 \, \text{kg} \cdot \text{m/s}}{4 \, \text{m/s}} = 9 \, \text{kg}
\]
Therefore, the mass of the bicycle is **9 kg**.
\[
\text{Momentum} (p) = \text{mass} (m) \times \text{velocity} (v)
\]
We know the momentum \( p = 36 \, \text{kg} \cdot \text{m/s} \) and the velocity \( v = 4 \, \text{m/s} \). We can rearrange the formula to solve for mass \( m \):
\[
m = \frac{p}{v}
\]
Substituting the known values:
\[
m = \frac{36 \, \text{kg} \cdot \text{m/s}}{4 \, \text{m/s}} = 9 \, \text{kg}
\]
Therefore, the mass of the bicycle is **9 kg**.