suppose that each vehicle is initially moving at 8.0 m/s and that they undergo a

Question

suppose that each vehicle is initially moving at 8.0 m/s and that they undergo a perfectly inelastic head-on collision. (In an inelastic collision, the two objects move together as one object after the collision.) Each driver has a mass of 90.0 kg. Including the drivers, the total vehicle masses are 890 kg for the car and 4090 kg for the truck. The collision time is 0.160 s. Choose coordinates such that the truck is initially moving in the positive x direction, and the car is initially moving in the negative x direction.

(a)what IMPULSE did the TRUCK driver experience from his SEATBELT?

(b) what IMPULSE did the CAR driver experience from his SEATBELT?

(c) what is the average force on the truck driver from the seatbelt?

(d) what is the average force on the car driver from the seatbelt?

Explanation / Answer

4090 x 8 - 890 x 8 = (4090 + 890)v

v = 5.14 m/s

a) impulse on truck driver = mv = 90 x (5.14-8) =-257.4 kg.m/s

b)  impulse on car driver = mv = 90 x (5.14+ 8) = 1182.6 Kg.m/s

c) impulse = F.t

-257.4 = F x 0.160

F = -1608.75 N

d)

impulse = F.t

1182.6 = F x 0.160

F = 7391.25 N

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