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Grade 10Mechanics

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 mass of B is 1400 kg. The coefficient of kinetic friction between the locked wheels of both cars and the road is 0.130. Car A succeeds in corning to rest at the light, but car B cannot stop and rear-ends car A. After the collision, A comes to rest 8.20 m ahead of the impact point and B 6.10 m ahead: see Fig. Both drivers had their brakes locked throughout the incident. (a) From the distances each car moved after the collision, find the speed of each car immediately after impact. (b) Use conservation of momentum to find the speed at which car B struck car A. On what grounds can the use of momentum conservation be criticized here?
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

Profile image of Hrishant Goswami
11 Years agoGrade 10
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Profile image of Jitender Pal
11 Years ago
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