Final answer:
The ratio of the quantities for the two cars are as follows: A) Accelerations: 2:1, B) Velocities: 2:1, C) Displacements: 2:1, D) Forces: 2:1.
Step-by-step explanation:
To determine the ratio of the mentioned quantities for cars 1 and 2, we need to use the principles of physics. Let's go through each one:
Acceleration:
The acceleration of an object is given by the net force acting on it divided by its mass. Since Car 1 has twice the mass of Car 2, the net force required to accelerate Car 1 would be twice that of Car 2. Therefore, the ratio of their accelerations would be 2:1.
Velocity:
If both cars experience the same net force and acceleration, the time taken to reach a certain velocity would be the same. Therefore, the ratio of their velocities would also be 2:1.
Displacement:
If both cars have the same velocity and travel for the same amount of time, their displacements would be proportional to their velocities. Therefore, the ratio of their displacements would be 2:1.
Force:
Since force is directly proportional to mass and acceleration, the ratio of the forces acting on Car 1 and Car 2 would be equal to the ratio of their masses. Therefore, the ratio of their forces would also be 2:1.