# A ball with a mass of #2kg# moving at #1 m/s# hits a still ball with a mass of #6 kg#. If the first ball stops moving, how fast is the second ball moving?

We use the conservation of momentum equation, which states that,

Now, we can plug in values into the equation and we get,

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Use the law of conservation of momentum:

[ \text{Initial momentum} = \text{Final momentum} ]

[ (m_1 \times v_1) + (m_2 \times v_2) = 0 ]

[ (2 , \text{kg} \times 1 , \text{m/s}) + (6 , \text{kg} \times v_2) = 0 ]

[ v_2 = -\frac{2}{6} , \text{m/s} ]

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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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