Question
A ball is rolling down a hill with a velocity of 0.6 m/s. The ball has a momentum of 1.8 kg*m/s. What is the mass of the ball?
Answers
GPT-4o mini
To find the mass of the ball, we can use the formula for momentum, which is given by:
\[
\text{Momentum} = \text{mass} \times \text{velocity}
\]
In this case, we can denote the mass of the ball as \( m \) and the given values are:
- Momentum \( p = 1.8 \, \text{kg} \cdot \text{m/s} \)
- Velocity \( v = 0.6 \, \text{m/s} \)
We can rearrange the formula to solve for mass:
\[
m = \frac{p}{v}
\]
Now we can substitute the known values into the equation:
\[
m = \frac{1.8 \, \text{kg} \cdot \text{m/s}}{0.6 \, \text{m/s}} = 3 \, \text{kg}
\]
Thus, the mass of the ball is \( 3 \, \text{kg} \).
\[
\text{Momentum} = \text{mass} \times \text{velocity}
\]
In this case, we can denote the mass of the ball as \( m \) and the given values are:
- Momentum \( p = 1.8 \, \text{kg} \cdot \text{m/s} \)
- Velocity \( v = 0.6 \, \text{m/s} \)
We can rearrange the formula to solve for mass:
\[
m = \frac{p}{v}
\]
Now we can substitute the known values into the equation:
\[
m = \frac{1.8 \, \text{kg} \cdot \text{m/s}}{0.6 \, \text{m/s}} = 3 \, \text{kg}
\]
Thus, the mass of the ball is \( 3 \, \text{kg} \).