### Chapter Outline

### Teacher Support

#### Teacher Support

Physics learning objectives come from 112.39 (c) Knowledge and Skills

### Teacher Support

#### Teacher Support

Contrast the type of work that each scientist did. Both were important and tackled difficult problems. Kepler found patterns in a mountain of data. Newton found the underlying cause of those patterns.

What do a falling apple and the orbit of the moon have in common? You will learn in this chapter that each is caused by gravitational force. The motion of all celestial objects, in fact, is determined by the gravitational force, which depends on their mass and separation.

Johannes Kepler discovered three laws of planetary motion that all orbiting planets and moons follow. Years later, Isaac Newton found these laws useful in developing his law of universal gravitation. This law relates gravitational force to the masses of objects and the distance between them. Many years later still, Albert Einstein showed there was a little more to the gravitation story when he published his theory of general relativity.

### Teacher Support

#### Teacher Support

Before students begin this chapter, it is useful to review the following concepts:

- Using significant figures in calculationsâ€”Demonstrate how to use the proper number of significant figures when adding and multiplying.
- Review scientific notation as related to significant figures.
- Converting unitsâ€”Demonstrate how to convert from km/h to m/s.
- Review dimensional analysis. For example, N is equivalent to kgâˆ™m/s
^{2}. - Explain that metric units clearly distinguish between mass and weight, but that the commonly used English units do not.
- Calculating averageâ€”Demonstrate how to average two numbers.
- Review manipulation of formulas so that they may be expressed in terms of the unknown.
- Review Newtonâ€™s laws of motion.