# How does the center of mass change position?

There are 2 scenarios described with examples below.

A system moving from one location to another.

A force would be required for this. Imagine an iceboat on a frozen lake.

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The center of mass changes position based on the distribution of mass within a system. It moves in response to external forces acting on the system or changes in the internal distribution of mass.

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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 ball with a mass of #14kg# moving at #1 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?
- On a touchdown attempt, a 95.0 kg running back runs toward the end zone at 3.75 m/s. A 111 kg linebacker moving at 4.10 m/s meets the runner in a head-on collision. If the two players stick together, what is their velocity immediately after the collision?
- A ball with a mass of # 6 kg# is rolling at #7 m/s# and elastically collides with a resting ball with a mass of #3 kg#. What are the post-collision velocities of the balls?
- How is the elastic collision equation derived?
- An astronaut with a mass of #100 kg# is floating in space. If the astronaut throws an object with a mass of #4 kg# at a speed of #11/9 m/s#, how much will his speed change by?

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