Your friend has had a car accident and is trying to negotiate with the insurance

Question

Your friend has had a car accident and is trying to negotiate with the insurance company the other driver for that pays for damage to your vehicle. She believes that the other car was going to speeding and also fault the accident was the other driver. She knows you have the knowledge of physics and hopes he can prove his assertions. She describes him accident scene and tells what happened. She was traveling north when he entered the fateful intersection. There was no stop sign, so she looked down and saw both directions no car approaching. It was a clear, sunny and bright day. When he was in the center the intersection, his car was hit by another vehicle driver traveling to the East. The two cars remained united after the collision and skidded to a stop. The both roads speed limit is 50 mph. Of visible marks on the street, you It determines that after the collision the car skidded 56 feet at an angle of 30 degrees north East before stopping. She has a copy of the police report, which gives the brand and the year of each car. In the library you determine the weight of the car her friend 2600 lb and the other car was 2200 lb, including the driver's weight in each case. Coefficient kinetic friction for rubber skidding on dry pavement is 0.80. It is not enough to try the other driver was traveling at excessive speed

Explanation / Answer

let initial velocity be v

friction = 0.8 *( 2200 + 2600) = 3840 lb

mass after collision = 4800 /32

retardation = 3840 *32 / 4800=25.6 ft/s2

final velocity2 = v2 - 2 *25.6 * 56

v = 53.54 ft/s

component of final velocity along east = 53 .21 cos 30 = 46.37 m/s

speed limit= 50 m ph = 50*5280/3600 = 73 ft/s

now let the other guy travel with speed u

due to conservation of momentum

initial momentum = final momentum

2200/32 * u = 4800 /32 *46.37

=> u = 101.17 ft/s

so the other guy was over speeding

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