# A model train with a mass of #4 kg# is moving along a track at #18 (cm)/s#. If the curvature of the track changes from a radius of #25 cm# to #42 cm#, by how much must the centripetal force applied by the tracks change?

The centripetal force changes in a factor of

Thus:

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To find the change in centripetal force, first calculate the initial and final centripetal forces using the formulas:

Initial centripetal force: F_initial = (m*v^2)/r_initial
Final centripetal force: F_final = (m*v^2)/r_final

Then, subtract the initial force from the final force to find the change:

Change in centripetal force: ΔF = F_final - F_initial

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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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