Show every step of the work.

1. A 12000 kg truck strikes the back end of a 750 kg car moving at 15 m/s. If the truck loses 7500 kg-m/s of its momentum to the car, what is the car's velocity after the collision?

2. An 8.0 g bullet is fired from a gun at 120 m/s into a 2.0 kg block of wood sitting on a fence post. If the bullet hits the wood and remains in it, what is the speed of the block after the collision?

3. How can these concepts be used to understand or explain an automobile accident?

4. Using the facts from question 1, imagine there was a person, unseat-belted, in the car. The person weighs 70 kg. What speed would the person be traveling at compared to the car after the collision? Explore two possibilities, and explain your reasoning fully. (Hints: Is the person part of or separate from the vehicle in terms of motion? How does the mass of the person change the problem?) Do your best!

5. Using the facts from question 1, imagine there was a person, unseat-belted, in the truck. The person weighs 70 kg. What speed would the person be traveling at compared to the truck after the collision? Explore two possibilities, and explain your reasoning fully. Do your best!