# A model train, with a mass of #3 kg#, is moving on a circular track with a radius of #2 m#. If the train's rate of revolution changes from #5/4 Hz# to #1/8 Hz#, by how much will the centripetal force applied by the tracks change by?

The change in centripetal force is

Centripetal force is what

The centripetal force fluctuation is

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The centripetal force applied by the tracks will change by (21.84 , \text{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 model train with a mass of #3 kg# is moving along a track at #16 (cm)/s#. If the curvature of the track changes from a radius of #15 cm# to #32 cm#, by how much must the centripetal force applied by the tracks change?
- Two objects have masses of #4 MG# and #26 MG#. How much does the gravitational potential energy between the objects change if the distance between them changes from #7 m# to #9 m#?
- A model train, with a mass of #4 kg#, is moving on a circular track with a radius of #6 m#. If the train's kinetic energy changes from #16 j# to #80 j#, by how much will the centripetal force applied by the tracks change by?
- A model train, with a mass of #3 kg#, is moving on a circular track with a radius of #2 m#. If the train's rate of revolution changes from #2/5 Hz# to #3/7 Hz#, by how much will the centripetal force applied by the tracks change by?
- Someone weighs 200 pounds on the surface of the Earth. If the radius of the Earth is 4000 miles, how much would that person weigh 1000 miles above the surface?

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