# The Gran Canyon Diablo Crater in Arizona is 200m, and was produced by an impact of a #3xx10^8 kg# meteorite traveling at #1.3xx10^4 m/s#. Estimate (a) the change in Earth’s velocity as a result of the impact and (b) the average force exerted on Earth?

Assuming that the velocity of meteorite has been stated with respect to a reference frame in which earth is stationary, and that none of the kinetic energy of the meteorite is lost as heat sound etc., we make use of the law of conservation of momentum

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(a) Using the law of conservation of momentum, the change in Earth's velocity is approximately 5.2x10^-9 m/s.

(b) The average force exerted on Earth is approximately 1.56x10^13 N.

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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 #5 kg# moving at #3 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?
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- A ball with a mass of #8 kg# moving at #4 m/s# hits a still ball with a mass of #3 kg#. If the first ball stops moving, how fast is the second ball moving?

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