A car travels for 10s at a steady speed of 20m/s along a straight road. A traffic light changes to red, and the car slows down w
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Answer:
As the wavelength of an electromagnetic wave _decrease__ the frequency of the wave _increase_______.
Explanation:
What is the relationship between frequency and wavelength?
Wavelength and frequency of light are closely related. The higher the frequency, the shorter the wavelength. Because all light waves move through a vacuum at the same speed, the number of wave crests passing by a given point in one second depends on the wavelength.
That number, also known as the frequency, will be larger for a short-wavelength wave than for a long-wavelength wave. The equation that relates wavelength and frequency is:
V= fλ
where v= velocity
f= frequency
λ = wavelength
⇒ f = v/λ
also f ∝ 1/λ
For electromagnetic radiation, the speed is equal to the speed of light, c, and the equation becomes:
C= fλ
where c= Speed of light
f= frequency
λ = wavelength
⇒ f = v/λ
also f ∝ 1/λ
Answer:
1) 0.43 meters per second
2) 0.21 meters per second
3) 1.02
4) 0.66 seconds
Explanation:
part 1
By conservation of energy, the maximum kinetic energy (K) of the block is at equilibrium point where the potential energy is zero. So, at the equilibrium kinetic energy is equal to maximum potential energy (U):
With m the mass, v the speed, k the spring constant and xmax the maximum position respect equilibrium position. Solving for v
part 2
Again by conservation of energy we have kinetic energy equal potential energy:
part 3
Acceleration can be find using Newton's second law:
with F the force, m the mass and a the acceleration, but elastic force is -kx, so:
part 4
The period of an oscillator is the time it takes going from one extreme to the other one, that is going form 4.5 cm to -4.5 cm respect the equilibrium position. That period is:
So between 0 and 4.5 cm we have half a period: