Question

5 rank the following objects in terms of momentum. (greatest momentum at top & least at bottom) a 500 - kg car traveling at 16 m/s a 0.2 - kg ball rolling at 40 m/s a child running at 4 m/s a 4.5 - g puck rolling at 0.4 m/s a 2,000 - kg van driving at 9 m/s

Explanation:

Step1: Recall momentum formula

The formula for momentum is $p = mv$, where $p$ is momentum, $m$ is mass and $v$ is velocity.

Step2: Calculate momentum of car

For the 500 - kg car traveling at 16 m/s, $p_{car}=500\times16 = 8000$ kg·m/s.

Step3: Calculate momentum of ball

For the 0.2 - kg ball rolling at 40 m/s, $p_{ball}=0.2\times40=8$ kg·m/s.

Step4: Calculate momentum of child (assuming mass is 30 kg, since it's not given. A reasonable average mass for a child)

For the 30 - kg child running at 4 m/s, $p_{child}=30\times4 = 120$ kg·m/s.

Step5: Calculate momentum of truck (assuming mass is 4500 kg, since the number is cut off. A reasonable mass for a truck)

For the 4500 - kg truck rolling at 0.4 m/s, $p_{truck}=4500\times0.4=1800$ kg·m/s.

Step6: Calculate momentum of van

For the 2000 - kg van driving at 9 m/s, $p_{van}=2000\times9 = 18000$ kg·m/s.

Step7: Rank the objects

Comparing the values: $p_{van}>p_{car}>p_{truck}>p_{child}>p_{ball}$.

Answer:

1. A 2,000 - kg van driving at 9 m/s
2. A 500 - kg car traveling at 16 m/s
3. A 4,500 - kg truck rolling at 0.4 m/s (assuming mass)
4. A 30 - kg child running at 4 m/s (assuming mass)
5. A 0.2 - kg ball rolling at 40 m/s