a) Two vehicles travelling on a road in the same direction collide. Vehicle 1 ha

Question

a) Two vehicles travelling on a road in the same direction collide. Vehicle 1 has a mass 1200kg and is travelling at 30m/s. Vehicle 2 has a mass 900kg and is                 travelling at 45m/s. Assuming that the cars momentarily lock together and continue moving in the same direction determine the new velocity(combined) of the cars                 after the collision.
                
                b) Determine the change in momentum in each vehicle.
                
                c) If the time of deceleration of vehicle 2 during the collision is 0.15 seconds determine the average force acting on the vehicle during this time.
                
                d) Determine the average force acting on vehicle 1 during the 0.15 seconds.

Explanation / Answer

Momentum conservation:

1200*30 + 900*45 = (1200 + 900)*v

v = 36.43 m/s

b)

Change in momentum of 1200 kg vehicle = 1200*36.43 - 1200*30 = 7714.3 kg-m/s

Change in momentum of 00 kg vehicle = 900*36.43 - 900*45 = -7714.3 kg-m/s

c)

Impulse = F*t = change in momentum

F*0.15 = -7714.3

F = -51428.6 N

d) It'll be 51428.6 N.

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