A model train, with a mass of #8 kg#, is moving on a circular track with a radius of #2 m#. If the train's kinetic energy changes from #8 j# to #48 j#, by how much will the centripetal force applied by the tracks change by?
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The change in centripetal force can be calculated using the formula:
[ \Delta F_c = \frac{\Delta KE}{\Delta r} ]
where (\Delta KE) is the change in kinetic energy (final KE - initial KE) and (\Delta r) is the change in radius. Plugging in the values:
[ \Delta F_c = \frac{48,J - 8,J}{2,m} ]
[ \Delta F_c = \frac{40,J}{2,m} ]
[ \Delta F_c = 20,N ]
Therefore, the centripetal force applied by the tracks will change by 20 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.
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 #8 kg#, is moving on a circular track with a radius of #2 m#. If the train's kinetic energy changes from #8 j# to #48 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 along a track at #8 (cm)/s#. If the curvature of the track changes from a radius of #15 cm# to #12 cm#, by how much must the centripetal force applied by the tracks change?
- A model train, with a mass of #3 kg#, is moving on a circular track with a radius of #1 m#. If the train's kinetic energy changes from #27 j# to #36 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 along a track at #12 (cm)/s#. If the curvature of the track changes from a radius of #4 cm# to #8 cm#, by how much must the centripetal force applied by the tracks change?
- Are there any equation for 2d motion and if present what are they?

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