1) Two cars of the same mass collide at an intersection. Justbefore the collisio
ID: 1680765 • Letter: 1
Question
1) Two cars of the same mass collide at an intersection. Justbefore the collision one car is traveling east at 55.0 km/h and the other car is traveling south at30.0 km/h. If the collision is completelyinelastic, so the two cars move as one object after the collision,what is the speed of the cars immediately after the collision?1
I am also stuck on this question below: I think it has the sameidea as the one above. PLEASE HELP!
2)A car with a mass of 1800 kg istraveling at a speed of 40.0 km/h on anicy road when it collides with a 10000 kg truck which was travelingtoward the car with the speed of 18 km/h. The truck stops movingafter the collision. Find the change in the kinetic energy of thesystem.
1 J
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Explanation / Answer
1) Using conservation of momentum we get tan = mbvb /mava V = mbvb / (ma + mb)sin Given that masses of two cars are same so that tan = vb / va = 30 / 55 = 0.5454 ==> = 28.61o therefore V = vb / 2sin = 30 km/hr / 2 * sin28.61 = 31.32 km/hr 2) According to conservation of momentum we have m u + M U = mv +0 ==> v = [ m u + M U ] / m = [1800 * 11.11 - 10000 * 4.999] / 1800 =16.66 m/s Therefore the change in KE = KEf -KEi = 500066.66 J - 472167.78J = 27898.89 J
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