# A ball with a mass of # 5 kg# is rolling at #8 m/s# and elastically collides with a resting ball with a mass of #2 kg#. What are the post-collision velocities of the balls?

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To calculate the post-collision velocities, you can use the conservation of linear momentum. The equation is:

[ m_1 \cdot v_{1i} + m_2 \cdot v_{2i} = m_1 \cdot v_{1f} + m_2 \cdot v_{2f} ]

Substitute the given values:

[ 5 , \text{kg} \cdot 8 , \text{m/s} + 2 , \text{kg} \cdot 0 , \text{m/s} = 5 , \text{kg} \cdot v_{1f} + 2 , \text{kg} \cdot v_{2f} ]

Solve for (v_{1f}) and (v_{2f}).

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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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- A ball with a mass of # 3 kg# is rolling at #25 m/s# and elastically collides with a resting ball with a mass of # 2 kg#. What are the post-collision velocities of the balls?

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