Answer: To determine which vehicle received the greater force, we need to calculate the momentum change for each vehicle during the collision. The force experienced by a vehicle during a collision is equal to the rate of change of its momentum.
First, let's calculate the initial momentum for each vehicle:
The car has a mass of 1,000 kg and a velocity of 30 m/s, so its initial momentum is 1,000 kg * 30 m/s = 30,000 kg m/s.
The truck has a mass of 2,000 kg and a velocity of 20 m/s, so its initial momentum is 2,000 kg * 20 m/s = 40,000 kg m/s.
Next, let's calculate the final momentum for both vehicles after the collision:
The car and truck collide head-on, so their velocities will become zero after the collision. So the final momentum for both vehicles will be zero.
Finally, we can calculate the rate of change of momentum for each vehicle:
The rate of change of momentum for the car is equal to its final momentum minus its initial momentum, or 30,000 kg m/s - 0 kg m/s = 30,000 kg m/s.
The rate of change of momentum for the truck is equal to its final momentum minus its initial momentum, or 0 kg m/s - 40,000 kg m/s = -40,000 kg m/s.
Since the magnitude of the rate of change of momentum for the truck is greater than the magnitude of the rate of change of momentum for the car, the truck has received the greater force.
Explanation: