The Language of Science How we communicate
Describing an object Scalars Quantity that can be expressed with a single number 10 gallons, 30 miles, 20 years Expressed in magnitude only Vectors Quantity expressed with a number and direction Expressed in magnitude and direction 30 miles east, 24 m/s north
How do we represent vectors? The arrow is called a vector. The length represents the magnitude of the objects speed. The direction represents the direction of the applied velocity.
Examples Calculate the resultant velocity of Freda Flyer who normally flies at 100 km/h and then encounters a 10 km/h headwind. 100 km/H 10 km/h 90 km/h
Adding Vectors 80 km/h 60 km/h Resultant = 100 km/h
Vector Components Changing a single vector into it’s vertical and horizontal components is called resolution or decomposition. Vertical component Horizontal Component
Solving for the resultant Pythagorean Theorem a 2 + b 2 = c 2 5 km/h (5 km/h) 2 + (5 km/h) 2 = _________
Vertical and Horizontal Components
Equations – What are they good for? Equations help us describe what happens and relationships. Equations are a shorthand form of expressing ideas. Equations can be expressed in graphical format.
Direct Relationship A = k x B
Inverse Relationship A =
Power Law Relationship A = k B n
Inverse Square Relationship A =
Metric Prefixes Multiply Giga billion Mega million Kilo thousand Divide Centi hundred Milli thousand Micro million Nano billion
Homework Read Chapter 2 4 definitions