Question

2. In a head-on collision between a truck (object #1) and a car (object #2), as difficult as it is to believe, the force of the truck on the car is equal (and opposite in direction) to the force of the car on the truck. However, because of their different masses, the two vehicles have very different subsequent motion: the truck basically keeps going, while the car will get smashed up and stick to the front of the truck. Another difference is the force experienced by each driver (assuming each is wearing a seatbelt to keep them in place). The force of the car on its driver is not the same as the force of the truck on its driver, because those are two separate interactions. Find the forces on each driver assuming the following data: each driver's mass is 80kg, the total mass of the car and its driver is 700kg, the total mass of the truck and its driver is 4300kg, and they begin by moving directly toward each other, each at 12 m/s. The collision lasts 0.85 seconds. Take the positive direction to be the truck's direction, so that vu = +12 m/s and vz1 = -12 m/s. Hint: first determine the final velocity of the car & truck stuck together.

Answer 1

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