Final answer:
The speed that a 600 kg car must have to have the same momentum as a 1200 kg truck traveling at a velocity of 10 m/s west is 20 m/s.
Step-by-step explanation:
To determine the speed that a 600 kg car must have in order to have the same momentum as a 1200 kg truck traveling at a velocity of 10 m/s to the west, we can use the equation for momentum, which is calculated by mass multiplied by velocity. The momentum of the truck is given by (mass of truck) * (velocity of truck) = (1200 kg) * (10 m/s) = 12000 kg m/s. Since momentum is conserved, the momentum of the car must also be 12000 kg m/s. We can rearrange the equation to solve for the velocity of the car: (mass of car) * (velocity of car) = (mass of truck) * (velocity of truck). Plugging in the values, we get (600 kg) * (velocity of car) = (1200 kg) * (10 m/s), which simplifies to velocity of car = (1200 kg * 10 m/s) / (600 kg) = 20 m/s. Therefore, the car must have a speed of 20 m/s to have the same momentum as the truck.