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)

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