# A ball with a mass of #8 kg# moving at #3 m/s# hits a still ball with a mass of #9 kg#. If the first ball stops moving, how fast is the second ball moving? How much kinetic energy was lost as heat in the collision?

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To find the velocity of the second ball after collision, use the principle of conservation of momentum. The final momentum of the system equals the initial momentum. The initial momentum is (8 , \text{kg} \times 3 , \text{m/s}). Solve for the velocity of the second ball.

To calculate the kinetic energy lost as heat, find the initial kinetic energy of the system (before collision) and the final kinetic energy of the system (after collision). The difference between the initial and final kinetic energies represents the kinetic energy lost as heat. Use the formula (KE = \frac{1}{2} mv^2) for kinetic energy calculations.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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