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28 August, 10:41

An observer in the Earth reference frame observes cart A and cart B moving toward each other with the same speed until they collide and come to rest. Consider this event as seen by observer A moving along with cart A. Assume that this observer matches cart A's initial velocity but does not collide with cart B (that is, observer A continues along at the same velocity that cart A had initially).

Part A

Would the observer in the Earth reference frame and observer A obtain the same value for the initial velocity of cart A? (Yes or no)

Part B

Would the observer in the Earth reference frame and observer A obtain the same value for the final velocity of cart B after the collision? (Yes or no)

Part C

Would the observer in the Earth reference frame and observer A obtain the same value for the relative velocity of the two carts after the collision? (Yes or no)

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Answers (1)
  1. 28 August, 10:55
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    A) The statement is false, B) The statement is false, C) The statement is True

    Explanation:

    A) The car speeds between the two observers are related by the Galileo speed transformation

    . v ' = v + u

    Where v 'is the observer speed in the mobile reference frame, in this case mounted on the car, v the speed in the fixed reference frame, the Earth in this case and u the speed between the two reference system.

    With this expression we can see that the observer on earth sees a velocity of v, but the observer in the car sees a chorus velicad (v ' = 0)

    The statement is false

    B) After the collision the observer of the earth sees a velocity of zero, but in the observer in the car as his system continues to move he sees a velocity of v ' = - u

    The statement is false

    C) the relative velocity is (v-v ') = u this value if it is the same for the two observers

    The statement is True
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