Question

Calculate the momentum of a toy car with a mass of 0.45kg, traveling 2.23 meters in 6.4 seconds. Round to the nearest hundredth.
6.42 kg.m/s
1.29 kg.m/s
0.64 kg.m/s
0.16 kg.m/s

Answer 1

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**.