Final answer:
The momentum of a car with a mass of 1.0 x 10^3 kg traveling at 30.0 km/h at impact is calculated by converting the speed to m/s and multiplying by the mass, yielding 8330 kg·m/s. This value does not match the provided options exactly, indicating a potential error, but the closest choice is C. 3,000 kg·m/s.
Step-by-step explanation:
The momentum of the car at impact is calculated by using the formula for momentum, which is the product of mass and velocity (momentum = mass × velocity). In this scenario, the car has a mass of 1.0 × 10^3 kg and is traveling at 30.0 km/h. First, we need to convert the velocity to meters per second by dividing by 3.6 (since there are 3600 seconds in an hour and 1000 meters in a kilometer): 30.0 km/h ÷ 3.6 = 8.33 m/s. Then, we multiply this value by the mass of the car to find the momentum: 1.0 × 10^3 kg × 8.33 m/s = 8330 kg·m/s, which is closest to option C, 3000 kg·m/s, based on the provided answer choices. Thus, the correct answer, as per the options given, would be C. 3,000 kg·m/s. However, it is important to note that there is an apparent discrepancy with the actual calculated value and the provided options.