Final answer:
To calculate the total momentum of the car and truck before and after the collision, we use the momentum formula (mass × velocity) for both vehicles. Before the collision, the momentum is solely from the moving car, whereas after, the momentum is the sum of both the car's and the truck's momenta. The total momentum before and after the collision remains the same at 9080 kg·m/s.
Step-by-step explanation:
The student is asking to calculate the total momentum of a car and a truck before and after a collision. To find the momentum of each vehicle, we use the formula momentum = mass × velocity. Before the collision, only the car is moving, so we multiply the car's mass (454 kg) by its velocity (20 m/s) to find the momentum. After the collision, both the car and the truck are moving, and we calculate the momentum of each and then sum them to find the total momentum after the collision.
Calculating momentum before collision: 454 kg × 20 m/s = 9080 kg·m/s.
Calculating momentum of the car after collision: 454 kg × 5 m/s = 2270 kg·m/s.
Calculating momentum of the truck after collision: 908 kg × 7.5 m/s = 6810 kg·m/s.
Adding the momenta after collision: 2270 kg·m/s + 6810 kg·m/s = 9080 kg·m/s.
So the answer is: Before: 9080 kg·m/s, After: 9080 kg·m/s, which corresponds to option D.