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1. A ball with a mass of 2.00 kg and an initial velocity of ?⃗1 =...

1. A ball with a mass of 2.00 kg and an initial velocity of ?⃗1 = 30.0m/s ?̂ collides with another ball of mass 1 kg which is initially sitting still. After the collision, the second mass has a velocity of ?⃗2f = 25.0m/s ?̂. What is the velocity of the first mass after the collision?


2. Two billiard balls with identical masses of 1 kg move toward each other. The initial velocity of ball 1 is +30 cm/s and the initial velocity of ball 2 is -20 cm/s. The final velocity of ball 1 is -20cm/s and the final velocity of ball 2 is +30 cm/s. Assume friction and rotation are unimportant. Show, through conservation of energy, that this was indeed an elastic collision. (Hint: Find the kinetic energy of the system before and after the collision. If the values are equal, then indeed this is an elastic collision.)

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