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mass of B is 1400 kg. The coefficient of kinetic friction between the locked whe

ID: 2177777 • Letter: M

Question

mass of B is 1400 kg. The coefficient of kinetic friction between the locked wheels of either car and the road is 0.13. Car A succeeds in stopping at the light, but car B cannot stop and rear-ends car A. After the collision, A stops 8.2 m ahead of its position at impact, and B 6.1 m ahead; see Fig. 7-27. Both drivers had their brakes locked throughout the incident. Using the material in Chapters 2 and 6, find the speed of (a) car A and (b) car B immediately after impact. (c) Use conservation of translational momentum to find the speed at which car B struck car A. On what grounds can the use of momentum conservation be criticized here? Figure 7-27 Problem 29. Icy Rood Two cars A and B slide on an icy road as they attempt to stop at a traffic light. The mass of A is 1100 kg, and the

Explanation / Answer

Friction Force for A, FA = 0.13(1100)g => Aa = 0.13g Friction Force for B, FB = 0.13(1400)g => Ab = 0.13g u^2 = 2as Ua^2 = 2(0.13g)(8.2) => Ua = 4.571 m/sec^2 Ub^2 = 2(0.13g)(6.1) => Ua = 3.942 m/sec^2 1400 v1 = 1100(4.571) + 1400 (3.942) => v1=7.5335 The momentum conversation can be criticized because there can be other types of energy loss as well (chemical,thermal , etc.)