10. two vehicles collide head on. a van and an suv.

the westbound van had a momentum of -500000 kg*m/s and the eastbound suv had a momentum of +250000 kg*m/s before they collided.

which way will they continue moving after the collision?

show your work to support your answer and for full marks. draw a diagram/sketch to assist with your answer.

chapter 16

read pages 286-291 in the science connect 2 textbook

17. how are cars with crumple zones better at protecting occupants than cars without crumple zones?

Question

10. two vehicles collide head on. a van and an suv.

the westbound van had a momentum of -500000 kg*m/s and the eastbound suv had a momentum of +250000 kg*m/s before they collided.

which way will they continue moving after the collision?

show your work to support your answer and for full marks. draw a diagram/sketch to assist with your answer.

chapter 16

read pages 286-291 in the science connect 2 textbook

17. how are cars with crumple zones better at protecting occupants than cars without crumple zones?

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [ "Conservation of Momentum", "Collision Safety" ], "new_concepts": [], "current_concepts": [ "Conservation of Momentum", "Collision Safety" ] } ## Calculate total initial momentum $$ \begin{aligned} p_{\text{van}} &= -500000\text{ kg}\cdot\text{m/s} \ p_{\text{SUV}} &= +250000\text{ kg}\cdot\text{m/s} \ p_{\text{total}} &= p_{\text{van}} + p_{\text{SUV}} \ p_{\text{total}} &= -500000 + 250000 = -250000\text{ kg}\cdot\text{m/s} \end{aligned} $$ ## Determine direction of motion after collision $$ \begin{aligned} p_{\text{final}} &= p_{\text{total}} = -250000\text{ kg}\cdot\text{m/s} \ p_{\text{final}} &< 0 \implies \text{Westbound} \end{aligned} $$ ## Analyze the safety benefit of crumple zones $$ \begin{aligned} F_{\text{average}} &= \frac{\Delta p}{\Delta t} \ \Delta t_{\text{crumple}} &> \Delta t_{\text{rigid}} \implies F_{\text{crumple}} < F_{\text{rigid}} \end{aligned} $$ ## Question 10 They will continue moving **westward** (in the negative direction). ## Question 17 Crumple zones increase the duration of the collision ($\Delta t$), which decreases the average impact force ($F$) exerted on the occupants for the same change in momentum ($\Delta p$). { "elements": [ { "type": "arrow", "params": [[-4, 1], [-1, 1]], "properties": { "name": "SUV (+250,000 kg*m/s)", "strokeColor": "#5583F2", "strokeWidth": 3, "withLabel": true, "labelPosition": [-3, 1.5] } }, { "type": "arrow", "params": [[4, -1], [1, -1]], "properties": { "name": "Van (-500,000 kg*m/s)", "strokeColor": "#F2557F", "strokeWidth": 3, "withLabel": true, "labelPosition": [2, -1.5] } }, { "type": "arrow", "params": [[0, 0], [-2, 0]], "properties": { "name": "Net Momentum (-250,000 kg*m/s)", "strokeColor": "#8C55F2", "strokeWidth": 4, "withLabel": true, "labelPosition": [-1, -0.5] } } ], "timestamps": [0, 1, 2] } { "subject": "Natural Science", "question_type": "Multi-part", "knowledge_point": [ "Natural Science", "Physics", "Momentum and Collisions" ] }

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QUESTION IMAGE

Question

Explanation:

Calculate total initial momentum

Determine direction of motion after collision

Analyze the safety benefit of crumple zones

Answer:

Question 10

Question 17