# A model train with a mass of #1 kg# is moving along a track at #24 (cm)/s#. If the curvature of the track changes from a radius of #16 cm# to #15 cm#, by how much must the centripetal force applied by the tracks change?

The centripetal force changes by

Centripetal force is what

The centripetal force fluctuation is

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To calculate the change in centripetal force, we need to first find the centripetal force before and after the change in curvature of the track using the formula:

Centripetal force = (mass × velocity^2) / radius

Before the change: Centripetal force = (1 kg × (24 cm/s)^2) / 16 cm

After the change: Centripetal force = (1 kg × (24 cm/s)^2) / 15 cm

Then, subtract the centripetal force before the change from the centripetal force after the change to find the change in centripetal force.

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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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