# How do you calculate inelastic collisions?

Given perfect inelasticity, we go back to first principles.

For inelastic collisions momentum is conserved, but energy is lost. Hence, recall,

To demonstrate, I will do a problem.

Given,

Now, recall what we talked about!

Hence,

is the velocity of the compound asteroid after the collision (in the positive direction).

1: Giancoli, D. C. (2014). Physics: Principles with Applications. Boston: Pearson. pg. 195

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Use the equation: ( m_1 \cdot v_{1i} + m_2 \cdot v_{2i} = (m_1 + m_2) \cdot v_f )

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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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- If an object is mass m with a velocity u collides with a stationary object of mass m, how much kinetic energy is lost?
- How much momentum does a #2 kg# object moving at #1/2 m/s# have?
- A 5-kg fish swimming at a velocity of 1 m/s swallows an absent-minded 1-kg fish swimming towards it 4 m/s. Wha tis the speed of the larger fish after lunch?

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