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 #5 cm# to #24 cm#, by how much must the centripetal force applied by the tracks change?
The change in centripetal force is
Centripetal force is what
The radii are
additionally
The centripetal force's variance is
What are the centripetal forces?
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To find the change in centripetal force, you can use the formula:
[ F = \frac{mv^2}{r} ]
where:
- ( m ) is the mass of the train (3 kg)
- ( v ) is the velocity of the train (12 cm/s)
- ( r ) is the radius of curvature of the track
First, calculate the initial centripetal force with the initial radius: [ F_{initial} = \frac{3 \times (12)^2}{5} ]
Then, calculate the final centripetal force with the final radius: [ F_{final} = \frac{3 \times (12)^2}{24} ]
Finally, find the change in centripetal force: [ \Delta F = 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.
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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- Two objects have masses of #3 MG# and #15 MG#. How much does the gravitational potential energy between the objects change if the distance between them changes from #130 m# to #24 m#?
- An object with a mass of #4 kg# is revolving around a point at a distance of #2 m#. If the object is making revolutions at a frequency of #5 Hz#, what is the centripetal force acting on the object?
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