# An astronaut with a mass of #85 kg# is floating in space. If the astronaut throws a #15 kg# object at a speed of #2/5 m/s#, how much will his speed change by?

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The astronaut's speed will change by approximately 0.035 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.

- How does the center of mass change position?
- A railroad freight car coasts along a level track. It collides and couples with a second car, initially at rest and with brakes released. What percentage of the freight car's initial energy is preserved in the two-coupled cars after collision?
- A ball with a mass of #12 kg# moving at #1 m/s# hits a still ball with a mass of #8 kg#. If the first ball stops moving, how fast is the second ball moving?
- A ball with a mass of #7 kg# moving at #6 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?
- A ball with a mass of #15 kg# moving at #6 m/s# hits a still ball with a mass of #21 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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