To calculate the momentum of the toy car, we first need to determine its velocity. Momentum (p) is calculated using the formula:
\[ p = m \cdot v \]
where:
- \( p \) is the momentum,
- \( m \) is the mass of the object,
- \( v \) is the velocity of the object.
First, we find the velocity \( v \) by using the distance traveled and the time taken. The velocity is calculated as:
\[ v = \frac{\text{distance}}{\text{time}} \]
In this case:
- Distance = 2.23 meters
- Time = 6.4 seconds
Now we can calculate the velocity:
\[ v = \frac{2.23 , \text{meters}}{6.4 , \text{seconds}} \approx 0.3484375 , \text{m/s} \]
Next, we can calculate the momentum using the mass of the toy car, which is 0.45 kg:
\[ p = m \cdot v = 0.45 , \text{kg} \cdot 0.3484375 , \text{m/s} \approx 0.1568 , \text{kg.m/s} \]
Rounding to the nearest hundredth gives:
\[ p \approx 0.16 , \text{kg.m/s} \]
Thus, the momentum of the toy car is 0.16 kg.m/s.
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