# Which scientist is credited with the collection of the data necessary to support the planet's elliptical motion?

Brahe Tycho

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Johannes Kepler is credited with collecting the data necessary to support the planet's elliptical motion through his observations of planetary positions, particularly those of Mars, and his subsequent formulation of Kepler's laws of planetary motion.

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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.

- A model train with a mass of #2 kg# is moving along a track at #2 (cm)/s#. If the curvature of the track changes from a radius of #3 cm# to #8 cm#, by how much must the centripetal force applied by the tracks change?
- Two objects have masses of #9 MG# and #5 MG#. How much does the gravitational potential energy between the objects change if the distance between them changes from #500 m# to #20 m#?
- An object with a mass of #7 kg# is revolving around a point at a distance of #4 m#. If the object is making revolutions at a frequency of #7 Hz#, what is the centripetal force acting on the object?
- Which of Newton's laws states that an object with no net force will remain in rest or in constant velocity?
- A model train with a mass of #8 kg# is moving along a track at #9 (cm)/s#. If the curvature of the track changes from a radius of #21 cm# to #120 cm#, by how much must the centripetal force applied by the tracks change?

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