What is Kepler's law of orbital motion?
Julia AguilarKepler's first law: All planets orbit in an ellipse, with the sun at one focus.
Kepler's first law (1609): All planets orbit in an ellipse, with the sun at one focus.
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Kepler's laws of orbital motion describe the motion of planets around the sun. The first law states that planets move in elliptical orbits with the sun at one focus. The second law states that a line segment joining a planet and the sun sweeps out equal areas during equal intervals of time. The third law states that the square of a planet's orbital period is proportional to the cube of the semi-major axis of its orbit.
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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.
- Two objects have masses of #6# #MG# and #8# #MG#. How much does the gravitational potential energy between the objects change if the distance between them changes from #340# #m# to #160# #m#?
- Two objects have masses of #4 MG# and #7 MG#. How much does the gravitational potential energy between the objects change if the distance between them changes from #36 m# to #45 m#?
- An object with a mass of #2 kg# is revolving around a point at a distance of #5 m#. If the object is making revolutions at a frequency of #1 Hz#, what is the centripetal force acting on the object?
- A model train, with a mass of #16 kg#, is moving on a circular track with a radius of #9 m#. If the train's kinetic energy changes from #45 j# to #9 j#, by how much will the centripetal force applied by the tracks change by?
- A model train with a mass of #5 kg# is moving along a track at #4 (cm)/s#. If the curvature of the track changes from a radius of #4 cm# to #2 cm#, by how much must the centripetal force applied by the tracks change?
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