A model train with a mass of #9 kg# is moving along a track at #18 (cm)/s#. If the curvature of the track changes from a radius of #36 cm# to #35 cm#, by how much must the centripetal force applied by the tracks change?
The change in centripetal force is
The centripetal force is
The radii are
and
The variation in the centripetal force is
The centripetal forces are
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The change in centripetal force can be calculated using the formula:
[ \Delta F_c = \frac{m \cdot v^2}{r_1} - \frac{m \cdot v^2}{r_2} ]
Where: [ \Delta F_c ] is the change in centripetal force, [ m ] is the mass of the model train (9 kg), [ v ] is the velocity of the train (18 cm/s), [ r_1 ] is the initial radius of curvature (36 cm), and [ r_2 ] is the final radius of curvature (35 cm).
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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.
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.
- Any physics expert online? See the attachment.
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