Final answer:
To determine the correct velocity needed for a 2400 kg car to have the same momentum as an 800 kg car, we use the conservation of momentum which requires knowing the velocity of the 800 kg car. Without that information, we can't provide a specific answer but can use the ratio of their masses to estimate the required velocity.
Step-by-step explanation:
To find the velocity needed for a 2400 kg car to have the same momentum as an 800 kg car, we can use the principle of conservation of momentum which states that in the absence of external forces, the momentum of a system remains constant. The formula for momentum (p) is mass (m) multiplied by velocity (v), p = m * v.
Let's assume the 800 kg car has a velocity of 'x' m/s. Its momentum would be 800 kg * 'x' m/s. The 2400 kg car would need to have a velocity of 'y' m/s to achieve the same momentum. Setting the momentum of both cars equal to each other gives us: 2400 kg * 'y' m/s = 800 kg * 'x' m/s.
Without the velocity 'x' of the 800 kg car, we cannot calculate the exact value of 'y'. But we can say that if the 800 kg car travels at 3 m/s, the 2400 kg car would need to travel at 1 m/s to have the same momentum because 800 kg * 3 m/s = 2400 kg * 1 m/s, so adjust the ratios accordingly for other velocities.