Please and thank you! Solve the following problem and turn it in at our next cla

Question

Please and thank you!

Solve the following problem and turn it in at our next class. You may consult other sources for this problem but the work you turn in must be individually written up. I expect with the resources at your disposal the answer will be correct: your grade will be mostly dependent on the quality of your explanation. It should involve a diagram and a verbal narration of your physical reasoning and justification alongside your mathematical notation. A car and a truck carelessly approach an intersection and collide. The car and truck become so mangled that they stick together and their wheels lock up. Together they skid along the pavement to a stop. As a physicist, you are called upon to help investigate what happened. At the scene you see that the skid marks are 10 m long and are at an angle of 32 degree north of west. You know a few things: the car was traveling west the truck was traveling north the truck is twice as massive as the car the coefficient of kinetic friction between rubber and asphalt is 0.67 the wreck occurred in a 35 mph speed limit zone Who, if anyone, was speeding?

Explanation / Answer

Let p is the momentum of wreck sfter sticking

initial momentum of car = p cos 32 degree = 0.848p

initial momentum of truck = p sin 32 degree = 0.53p

by third equation of motion on wreck,

u = sqrt(2as) = sqrt(2*0.67*9.8*10) = 11.46 m/s

mass of car = m, mass of truck =2m, mass of wreck = m+2m = 3m

p = 3m*11.46 = 34.38m

velocity of car = 34.38m*0.848/m = 29.15 m/s = 65.2 mph

velocity of truck = 34.38m*0.53/2m = 9.11 m/s = 20.4 mph

Car had velocity more than 35mph, hence car was speeding

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