Two Two cars A and B slide on an icy road as they attempt to stop at a traffic l

Question

Two

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 0.12. Car A succeeds in coming to rest at the light, but car B cannot stop and rear-ends car A. After the collision, A comes to a rest 8.2 m ahead of the impact point and B 6.1 m ahead: see Fig. 6-36. Both drivers had their brakes locked throughout the incident.

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 0.12. Car A succeeds in coming to rest at the light, but car B cannot stop and rear-ends car A. After the collision, A comes to a rest 8.2 m ahead of the impact point and B 6.1 m ahead: see Fig. 6-36. Both drivers had their brakes locked throughout the incident. From the distances each car moved after the collision, find the speed of car A immediately after impact. m/s Find the speed of car B immediately after impact. m/s Use conservation of linear momentum to find the speed at which car B struck car A. m/s

Explanation / Answer

(a) Acceleration of the cars = -ug = -1.176 m/s^2

For car A,

v^2 -u^2 = 2as

0-u^2 = 2*(-1.176)*8.2

u = 4.39 m/s

(b)For car B,

u^2 =

2*1.176*6.1 = 3.79 m/s

(c) (1400*3.79) + (1100*4.39) = v*1400

v = 7.24 m/s

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