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A 3.0 kg cart moving to the right with a speed of 1.0 m/s has...

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Physics

A 3.0 kg cart moving to the right with a speed of 1.0 m/s has ahead-on collision with a 5.0 kg cart that is initially moving tothe left with a speed of 2.0 m/s. After the collision, the 3.0 kgcart is moving to the left with a speed of 1.0 m/s.

a. What is the final velocity of the 5 kg cart?

b. Determine the speed of the center of mass of the two cartsbefore and after the collision.

c. If instead, the two carts stuck together after the collision,what would be their common velocity?

d. Determine the amount of kinetic energy lost in the collisionsdescribed in (a) and (c). State the type of collision in parts (a)and (c) and suggest a reason for the loss of total energy after thecollision.

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