Question

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 50 - kg child running at 4 m/s a 4,500 - kg truck rolling at 0.4 m/s a 0 - 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, $p_1=500\times16 = 8000$ kg·m/s.

Step3: Calculate momentum of ball

For the 0.2 - kg ball rolling at 40 m/s, $p_2 = 0.2\times40=8$ kg·m/s.

Step4: Calculate momentum of child

For the 50 - kg child running at 4 m/s, $p_3=50\times4 = 200$ kg·m/s.

Step5: Calculate momentum of truck

For the 4500 - kg truck rolling at 0.4 m/s, $p_4=4500\times0.4 = 1800$ kg·m/s.

Step6: Assume mass of van is 1000 kg (since part of number is hidden)

For the 1000 - kg van driving at 9 m/s, $p_5=1000\times9=9000$ kg·m/s.

Step7: Rank the momenta

Ranking from greatest to least: Van (9000 kg·m/s), Car (8000 kg·m/s), Truck (1800 kg·m/s), Child (200 kg·m/s), Ball (8 kg·m/s)

Answer:

1. A 1000 - kg van driving at 9 m/s
2. A 500 - kg car traveling at 16 m/s
3. A 4500 - kg truck rolling at 0.4 m/s
4. A 50 - kg child running at 4 m/s
5. A 0.2 - kg ball rolling at 40 m/s