The potential energy of a watermelon is 15.0 J. The watermelon is 3.0 m high. What is the mass of the watermelon?
1 answer:
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Answer:
The rotational inertia of the pendulum around its pivot point is .
Explanation:
The angular frequency of a physical pendulum is measured by the following expression:
Where:
- Angular frequency, measured in radians per second.
- Mass of the physical pendulum, measured in kilograms.
- Gravitational constant, measured in meters per square second.
- Straight line distance between the center of mass and the pivot point of the pendulum, measured in meters.
- Moment of inertia with respect to pivot point, measured in
.
In addition, frequency and angular frequency are both related by the following formula:
Where:
- Frequency, measured in hertz.
If , then angular frequency of the physical pendulum is:
From the formula for the physical pendulum's angular frequency, the moment of inertia is therefore cleared:
Given that ,
,
and
, the moment of inertia associated with the physical pendulum is:
The rotational inertia of the pendulum around its pivot point is .
The shortest wavelength of visible light = violet light
Energy that can be felt as heat but not seen = infrared
Short, invisible rays that can cause eye damage = ultraviolet
Visible light with the longest wavelength = red light
Explanation:
Electromagnetic waves are waves consisting of oscillations of the electric and the magnetic field, occurring in a plane perpendicular to the direction of motion the wave.
They are the only type of waves able to travel without a medium, and they are transverse in nature.
All electromagnetic waves travel in a vacuum at the speed of light, which value is:
Electromagnetic waves are classified into 7 different classes, depending on their wavelength/frequency, and they have different properties. From shortest to longest wavelength (and from highest to lowest frequency), they are:
Gamma rays
X rays
Ultraviolet
Visible light
Infrared radiation
Microwaves
Radio waves
Moreover, the visible light of the spectrum is further divided into different colors, according to how our eye perceive them; from shortest to longest wavelength:
violet
blue
green
yellow
orange
red
Therefore, we have:
- The shortest wavelength of visible light is violet light, which has wavelength between 380 and 450 nm
- The longest wavelength of visible light is red light, which has wavelenght between 620 and 750 nm
- Infrared radiation is a type of radiation that is felt as heat by our body, however it cannot be seen because it falls outside the spectrum of visible light
- Ultraviolet radiation is also invisible to human eye; it has shorter wavelength than visible light and therefore it has more frequency (and more energy), therefore it can cause damage, especially to the eye
Learn more about electromagnetic waves:
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