The four living things seen here, dog, flower, algae, and bacteria, are all made of cells. A - C are multicellular, but D is uni
2 answers:
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Answer: A. Frequency
B. Wavelength
Explanation: Electromagnetic waves are waves which can travel through the vacuum. Electromagnetic waves have electrical and magnetic component associated with them.
Electromagnetic waves are arranged in order of increasing frequencies or decreasing wavelengths.
Radio waves, X-rays, and gamma rays are all electromagnetic waves which have different wavelengths and thus have different frequencies. But they all travel with the speed of light.
The order of frequency of given waves : gamma rays > X rays> Radio waves.
The order of wavelength of given waves : gamma rays < X rays < Radio waves.
A) Orbital speed:
B) Kinetic energy:
D) The orbital period is
F) The angular momentum is
G) Exponent of radial dependence:
Speed: -1/2
Kinetic energy: -1
Orbital period: 3/2
Angular momentum: 1/2
Explanation:
A)
We know that for a satellite in circular orbit around a planet of mass M, the gravitational force between the satellite and the planet is
where m is the mass of the satellite.
This force provides the centripetal force needed for the circular motion, which is
where v is the orbital speed.
Since the gravitational force provides the centripetal force, we can equate the two expressions:
And solving for v, we find
B)
The kinetic energy of an object is given by
where
m is the mass of the object
v is its speed
In this problem,
m is the mass of the satellite
is the speed of the satellite (found in part A)
Substituting, we find an expression for the kinetic energy of the satellite:
D)
The orbital speed of the satellite can be rewritten as the ratio between the distance covered during one orbit (the circumference of the orbit) divided by the period of revolution:
where
is the circumference of the orbit
T is the orbital period
We already found that the orbital speed is
Substituting into the equation,
And making T the subject,
F)
The angular momentum of an object is defined as
where
m is the mass of the object
v is its speed
r is the radius of the orbit
For the satellite here we have
m (mass of the satellite)
(orbital speed)
R (orbital radius)
Substituting,
G)
First, we rewrite the list of expressions for the different quantities that we found:
Orbital speed:
Kinetic energy:
Orbital period:
Angular momentum:
Now we observed the dependence of each quantity from R:
Orbital speed:
Kinetic energy:
Orbital period:
Angular momentum:
So the exponent of the radial dependence of each quantity is:
Speed: -1/2
Kinetic energy: -1
Orbital period: 3/2
Angular momentum: 1/2
Learn more about circular motion:
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