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Answer :
Final answer:
The final velocity of the blue car, after undergoing an elastic collision with the yellow car, is approximately -1.88 m/s in the opposite direction (southwards).
Explanation:
This problem involves the concept of conservation of momentum. In an elastic collision, the total momentum before the collision is equal to the total momentum after the collision. Therefore, we can set up the following equation:
(Mass of blue car)*(Initial velocity of blue car) + (Mass of yellow car)*(Initial velocity of yellow car) = (Mass of blue car)*(Final velocity of blue car) + (Mass of yellow car)*(Final velocity of yellow car)
In this case, the initial velocity of the yellow car is 0 (since it isn't stated in the problem), and the final velocity of the yellow car is 1.34 m/s [N].
We plug these values into the equation and solve for the final velocity of the blue, 96 kg bumper car ensuing the elastic collision with the 135 kg yellow car. The equation becomes:
96kg*1.24m/s + 0 = 96kg*Vf + 135kg*1.34m/s
When you solve this for Vf (the final velocity of the blue car), you'll find that the final velocity of the blue car is approximately -1.88 m/s [S].
Learn more about Elastic Collision here:
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