(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Mr. Smith was traveling northbound on Ashland Blvd when his car broadsided Mr. Green’s car, as it traveled east on Lime Rd. When the cars collided, they stuck together and slid. Analysis of the skid marks before the cars collided, indicated that Mr. Green did not apply his brakes, but that Mr. Smith did. Examination of the skid marks indicates that the speed of Mr. Smith’s car was reduced by 2.3 m/s before hitting Mr. Greene’s car.

The two drivers were interviewed. Mr. Smith stated that he had a green light when he went through the intersection, and went through the intersection at the posted speed limit (16 m/s). Mr. Green, however contends that he had stopped for a red light, and did not proceed into the intersection until after it had turned green. Because he started from a stop, Mr. Green does not know what his actual speed was when the accident occurred.

Analysis of evidence at the scene revealed the following information about the movement of the cars after they collided.

Angle of movement: 39° north of east

Displacement of vehicles: 0.81 m

The investigating officer at the scene has recorded the following additional information:

Mr. Smith

Automobile: Ford Escort

Weight: 1556 kg

Mr. Green

Automobile: Ford Escort

Weight: 1556 kg

1. What combination of speeds for Mr. Smith and Mr. Green is most consistent with the displacement and angle of the vehicles after the collision?

2. Does the evidence at the scene tend to confirm or deny the stories given to the investigating officer by Mr. Smith and Mr. Green?

3. While it is not possible to determine which driver ran the red light, is there any evidence that would indicate that a ticket should be issued to either one or both of the drivers?

As part of the one the scene investigation, the coefficient of sliding friction between the tires and the road was found to be 0.45. .

2. Relevant equations

P tot Before: (m1)(v1) + (m2)(v2)

P tot After: (m1)(v1) + (m2)(v2)

On the Y Axis

(m1)(v1)(sin) = (m2)(v2)(sin)

On the X Axis

(m1)(v1)(cos) + (m2)(v2)(cos) = (m1)(vf)

Friction Force = Coefficient Friction x Normal Force

Momentum = m x v

Force = m x change in velocity divided by time

or Force x Time = m x change in velocity

3. The attempt at a solution

so what I thought I should do was use this formula:

P tot Before: (m1)(v1) + (m2)(v2)

P tot After: (m1)(v1) + (m2)(v2)

but i already know the final speed so this formula wouldn't work.. right??? or am i wrong???

So then I thought maybe I would have to use this formula:

On the Y Axis

(m1)(v1)(sin 32) = (m2)(v2)(sin)

On the X Axis

(m1)(v1)(cos 32) + (m2)(v2)(cos 58) = (m1)(vf)

but I know this problem is inelastic since the cars stick together and this formula if for elastic collisions.

I really don't know what to do and I have no idea why I need the coefficient of friction, can someone help me?

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# Combination of Speeds? Car Crash problem?

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