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)
Responses
0.13 kg.m/s
0.13 kg.m/s
1.06 kg.m/s
1.06 kg.m/s
0.86 kg.m/s
0.86 kg.m/s
0.41 kg.m/s
Responses
0.13 kg.m/s
0.13 kg.m/s
1.06 kg.m/s
1.06 kg.m/s
0.86 kg.m/s
0.86 kg.m/s
0.41 kg.m/s
Answers
GPT-4o mini
To calculate the momentum of the toy car, we first need to determine its velocity. The formula for velocity is:
\[
\text{Velocity} = \frac{\text{Distance}}{\text{Time}}
\]
Given:
- Distance = 1.23 meters
- Time = 3.2 seconds
Calculating the velocity:
\[
\text{Velocity} = \frac{1.23 \text{ m}}{3.2 \text{ s}} \approx 0.384375 \text{ m/s}
\]
Next, we calculate the momentum using the formula:
\[
\text{Momentum} = \text{Mass} \times \text{Velocity}
\]
Given:
- Mass = 0.33 kg
- Velocity ≈ 0.384375 m/s
Calculating the momentum:
\[
\text{Momentum} = 0.33 \text{ kg} \times 0.384375 \text{ m/s} \approx 0.126 \text{ kg.m/s}
\]
Rounding to the nearest hundredth:
\[
\text{Momentum} \approx 0.13 \text{ kg.m/s}
\]
Thus, the answer is:
**0.13 kg.m/s**
\[
\text{Velocity} = \frac{\text{Distance}}{\text{Time}}
\]
Given:
- Distance = 1.23 meters
- Time = 3.2 seconds
Calculating the velocity:
\[
\text{Velocity} = \frac{1.23 \text{ m}}{3.2 \text{ s}} \approx 0.384375 \text{ m/s}
\]
Next, we calculate the momentum using the formula:
\[
\text{Momentum} = \text{Mass} \times \text{Velocity}
\]
Given:
- Mass = 0.33 kg
- Velocity ≈ 0.384375 m/s
Calculating the momentum:
\[
\text{Momentum} = 0.33 \text{ kg} \times 0.384375 \text{ m/s} \approx 0.126 \text{ kg.m/s}
\]
Rounding to the nearest hundredth:
\[
\text{Momentum} \approx 0.13 \text{ kg.m/s}
\]
Thus, the answer is:
**0.13 kg.m/s**