Final answer:
The force exerted on Truck A by Truck B during a collision is equal in magnitude but opposite in direction to the force exerted on Truck B by Truck A, complying with Newton's Third Law of Motion.
Step-by-step explanation:
The relationship between the magnitude of the force exerted on Truck A by Truck B during a collision is described by Newton's Third Law of Motion. According to this law, for every action, there is an equal and opposite reaction. This means that the magnitude of the force exerted by Truck A on Truck B must be equal to the magnitude of the force exerted by Truck B on Truck A, so a = b. When a truck collides with a car, and both experience forces during the collision, these forces are equal in magnitude but opposite in direction.
Considering an example where a truck of mass 2200 kg accelerates at 10 m/s² due to a collision, we can use Newton's Second Law (F = ma) to find the force on the truck, which is the same force exerted on the car. If the car has a mass of 550 kg, to find the car's acceleration, we rearrange the equation to a = F/m, using the force calculated for the truck. As both masses experience the same force, the car's acceleration will be greater due to its smaller mass, demonstrating how the same force affects different masses.