# What is the Newton's version of Kepler's third law?

We know that centrifuge force is given by

Then combining both expresions

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Newton's version of Kepler's third law states that the square of the orbital period of a planet is directly proportional to the cube of the semi-major axis of its orbit. Mathematically, it can be expressed as T^2 ∝ a^3, where T is the orbital period and a is the semi-major axis of the 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.

- A model train with a mass of #4 kg# is moving along a track at #6 (cm)/s#. If the curvature of the track changes from a radius of #36 cm# to #48 cm#, by how much must the centripetal force applied by the tracks change?
- Does gravity push or pull?
- An object with a mass of #12 kg# is revolving around a point at a distance of #12 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 #5 kg#, is moving on a circular track with a radius of #9 m#. If the train's rate of revolution changes from #4 Hz# to #7 Hz#, by how much will the centripetal force applied by the tracks change by?
- The gravitational force between two unit masses seprated by unit distance is?

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