the energy of an object in motion.
What is kinetic energy?
State the Law of Conservation of Energy.
The law of conservation of energy states that energy can never be created or destroyed, just transformed from one form into another.
This property of sound increases with frequency.
What is pitch?
What information do you need to calculate wave speed?
frequency and wavelength
when a wave bounces off an object
What is reflection?
an objects ability to change or cause change
What is energy?
What happens to the total amount of energy in a closed system according to the Law of Conservation of Energy?
It stays the same.
Fill in the Blank: Wavelength and _________have an inverse relationship.
Frequency
What is the speed of light?
3 x 108 m/s

What happens to the green light?
It is reflected.
the ability of an object to cause change due to its position, shape or condition
What is potential energy?
If total energy stays the same, what happens to energy when parts of a system may speed up or slow down, get warmer or colder, or change in other measurable ways?
The energy is transformed into other forms.
How are electromagnetic (light) and mechanical (sound) waves different?
Sound waves require a medium while light waves can travel in empty space.
The equation for period (T).
T=1/F
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
Refraction of light
Calculate the potential energy of a 4-kilogram cat crouched 3 meters off the ground.
117.6 J

On the roller coaster above, where would point B have as much potential energy as point A?
No, when the car goes up the second hill to point B, kinetic energy is changed to potential energy. Some energy is lost to friction. That is why point B is a little lower than point A.
True or False: Light waves travel faster through a solid that through a gas.
What is the period of a wave that has a wavelength of 1 meter and a speed of 20 m/s?
T= 0.05 s
Why is green light the only color of light being reflected?
The other colors were absorbed.
Calculate the kinetic energy of a 4-kilogram cat running at 5 m/s.
100 J
A 3-kg ball is tossed straight up with a kinetic energy of 1176 J. How high does it go?
40 meters
True or False: Solid waves travel faster through a solid that through a gas.
True
The wavelength of a wave is 0.5 meter and its period is 2 seconds. What is the speed of this wave?
0.25 m/s.
a change in direction of waves as they pass through an opening or around a barrier in their path
What is diffraction?