Question

Calculate the momentum of a toy car with a mass of 0.33 kg, traveling 1.23 meters in 3.2 seconds.
Round to the nearest hundredth. (1 point)

0.86 kg.m/s

0.13 kg.m/s

1.06 kg.m/s

0.41 kg.m/s

Answer 1

To calculate the momentum of the toy car, we first need to determine its velocity and then use the momentum formula.

1. **Calculate Velocity (v)**:
Velocity is calculated using the formula:
\[
v = \frac{\text{distance}}{\text{time}}
\]

Here, the distance is 1.23 meters and the time is 3.2 seconds:
\[
v = \frac{1.23 \, \text{m}}{3.2 \, \text{s}} \approx 0.384375 \, \text{m/s}
\]

2. **Calculate Momentum (p)**:
Momentum is calculated using the formula:
\[
p = m \times v
\]
where \( m \) is the mass of the toy car (0.33 kg).

Now plug in the values:
\[
p = 0.33 \, \text{kg} \times 0.384375 \, \text{m/s} \approx 0.126 \, \text{kg.m/s}
\]

3. **Round the Result**:
Rounding 0.126 to the nearest hundredth gives us:
\[
p \approx 0.13 \, \text{kg.m/s}
\]

Thus, the correct answer is **0.13 kg.m/s**.