Q. Most of us know intuitively that in the head-on collision between a large dump truck and a subcompact car, you are better off being in the truck than in the car. Why is this? Many people imagine that collision force exerted on the car is much greater than that experienced by the truck. To substantiate this view, they point out that the car is crushed, whereas the truck in only dented. This idea of unequal forces, of course, is false. Newton's third law tells us that both objects experience forces of the same magnitude. The truck suffers less damage because it is made of stronger metal. But what about two drivers? Do they experience the same forces? To answer this question, assume that each vehicle is initially moving at 6.0 m/s and that they undergo a perfectly inelastic head-on collision. (In an inelastic collision, two objects move together as one object after the collision.) Each driver has a mass of 60.00 kg. Including the drivers, the total vehicle masses are 880 kg for the car and 4080 kg for the truck. The collision time is 0.120s. select 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 is the total x-component of momentum BEFORE collision?

(b) What is the x-component of the CENTER-OF-MASS velocity BEFORE the collision?

(c) What is the total x-component of momentum AFTER collision?

(d) What is the x-component of the final velocity of combined truck-car wreck?

(e) What impulse did the truck receive from the car during collision?

(f) What impulse did the car receive from the truck during collision?

(g) What is the average force on the truck from the car during collision?

(h) What is the average force on the car from the truck during collision?

(i) What impulse did truck driver experience from his seatbelt?

(j) What impulse did car driver experience from his seatbelt?

(k) What is the average force on the truck driver from seatbelt?