# A ball with a mass of #3 kg# moving at #15 m/s# hits a still ball with a mass of #17 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?

The speed of the second ball is

The loss in kinetic energy is

We have conservation of momentum

So,

The kinetic energy, before the collision, is

The kinetic energy, after the collision, is

The loss in kinetis energy is

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#45/17\ "m"/"s"~~2.647\ "m"/"s"#

#4725/17~~277.941\ "J"#

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The second ball will be moving at 3 m/s. The kinetic energy lost as heat in the collision is 337.5 J.

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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.

- A 600.0 kg cannon stands on frictionless wheels and fires a 9.50 kg cannonball horizontally at 150. m/s. With what velocity does the cannon move after firing the ball ?
- What are some examples of momentum?
- A ball with a mass of #4 kg # and velocity of #3 m/s# collides with a second ball with a mass of #5 kg# and velocity of #- 7 m/s#. If #20%# of the kinetic energy is lost, what are the final velocities of the balls?
- A ball with a mass of #12 kg# moving at #7 m/s# hits a still ball with a mass of #15 kg#. If the first ball stops moving, how fast is the second ball moving?
- A ball with a mass of #18 kg# moving at #2 m/s# hits a still ball with a mass of #25 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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