According to the law of universal gravitation, any two objects are attracted to each other. The strength of the gravitational fo
rce depends on the masses of the objects and their distance from each other.
Many stars have planets around them. If there were no gravity attracting a planet to its star, the planet's motion would carry it away from the star. However, when this motion is balanced by the gravitational attraction to the star, the planet orbits the star.
Two solar systems each have a planet the same distance from the star. The planets have the same mass, but Planet A orbits a more massive star than Planet B.
Which of the following statements is true about the planets?
A.
Planet B is more attracted to its star than Planet A.
B.
Planet B will keep orbiting its star longer than Planet A.
C.
Planet A orbits its star faster than Planet B.
D.
Planet A has a longer year than Planet B.
Many stars have planets around them. If there were no gravity attracting a planet to its star, the planet's motion would carry it away from the star. However, when this motion is balanced by the gravitational attraction to the star, the planet orbits the star.
Two solar systems each have a planet the same distance from the star. The planets have the same mass, but Planet A orbits a more massive star than Planet B.
Which of the following statements is true about the planets?
A.
Planet B is more attracted to its star than Planet A.
B.
Planet B will keep orbiting its star longer than Planet A.
C.
Planet A orbits its star faster than Planet B.
D.
Planet A has a longer year than Planet B.
1 answer:
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Answer:
Frequency required will be 2421.127 kHz
Explanation:
We have given inductance
Current in the inductor
Voltage v = 13 volt
Inductive reactance of the circuit
We know that
f = 2421.127 kHz
a) Total power output:
b) The relative percentage change of power output is 1.67%
c) The intensity of the radiation on Mars is
Explanation:
a)
The intensity of electromagnetic radiation is given by
where
P is the power output
A is the surface area considered
In this problem, we have
is the intensity of the solar radiation at the Earth
The area to be considered is area of a sphere of radius
(distance Earth-Sun)
Therefore
And now, using the first equation, we can find the total power output of the Sun:
b)
The energy of the solar radiation is directly proportional to its frequency, given the relationship
where E is the energy, h is the Planck's constant, f is the frequency.
Also, the power output of the Sun is directly proportional to the energy,
where t is the time.
This means that the power output is proportional to the frequency:
Here the frequency increases by 1 MHz: the original frequency was
so the relative percentage change in frequency is
And therefore, the power also increases by 1.67 %.
c)
In this second case, we have to calculate the new power output of the Sun:
Now we want to calculate the intensity of the radiation measured on Mars. Mars is 60% farther from the Sun than the Earth, so its distance from the Sun is
Now we can find the radiation intensity with the equation
Where the area is
And substituting,
Learn more about electromagnetic radiation:
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