You are called as an expert witness to analyze the following auto accident: Car

Question

You are called as an expert witness to analyze the following auto accident: Car B, of mass 1900 { m kg}, was stopped at a red light when it was hit from behind by car A, of mass 1500 { m kg}. The cars locked bumpers during the collision and slid to a stop. Measurements of the skid marks left by the tires showed them to be 7.20 { m m} long, and inspection of the tire tread revealed that the coefficient of kinetic friction between the tires and the road was 0.650

a.What was the speed of car A just before the collision?

b. By how many { m mph} was car A exceeding the speed limit 35.0 { m mph}?

Explanation / Answer

v_f2-v_o2=2*U_k(g)D
v_f = 0 m/s
v_0 = x (need to find for problem #1)
U_k = 0.650
g = 9.8 m/s^2
D = 7.2m
Good. Solve for v_0, which is the speed of the stuck cars after the collision.

x= 3.03 m/s

m_1 v_1i + m_2 v_2i = (m_1+m_2)v_f
1500 v_1i + 1900*0 = (1500+1900)6.647
v_1i =6.86 m/s

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