# What would happen to the earth if both the sun and the moon were to disappear instantly?

Earth would become colder and fly off into space in a (mostly) straight line. It would also spin much faster due to the loss of tides (source).

Since the sun and the moon provide almost all the gravitational pull on earth, the earth would fly off into space at its tangential velocity. The loss of tides (which are caused by the Moon's and Sun's gravity) could decrease Earth's rotational inertia and increase its angular velocity, but more importantly, Earth would lose its main source of heat and light. Since wind is caused by temperature differentials, it would gradually slow down and stop.

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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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- The tension in a 2 m length of string that whirls a 1 kg mass at 4 m/s in a horizontal circle is calculated to be 8 N. How do you alculate the tension for the following case: twice the length of string?
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- A model train, with a mass of #4 kg#, is moving on a circular track with a radius of #5 m#. If the train's rate of revolution changes from #1/9 Hz# to #1/5 Hz#, by how much will the centripetal force applied by the tracks change by?

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