Two stars orbiting each other are separated by 6.67 AU and revolve around their common center of gravity in 10 years. Use Newton’s form of Kepler’s third law to calculate the combined mass of the 2 stars in solar masses.
Answer:
The combined mass of the two stars is 2.9417 solar masses.
Explanation:
The mathematical expression for Kepler's third law is;
[tex]P^{2}[/tex] = [tex]\frac{4\pi ^{2} }{k^{2} (M_{1} + M_{2} }a^{3}[/tex]
Where: P is the period in days, a is the semimajor axis in AU, [tex]M_{1}[/tex] is the mass of the first star, [tex]M_{2}[/tex] is the mass of the second star and k is the Gaussian gravitational constant.
Given that;
P = 10 years = 3670 days (including two leap years)
a = 6.67 AU
k = 0.01720209895 rad
[tex]\pi[/tex] = [tex]\frac{22}{7}[/tex]
The sum of the masses of the two star can be determined by;
[tex](M_{1} + M_{2})[/tex] = [tex]\frac{4\pi ^{2} }{P^{2}k^{2} } a^{3}[/tex]
= [tex]\frac{4*(\frac{22}{7}) ^{2} } {(3650)^{2} * (0.01720209895)^{2} } (6.67)^{3}[/tex]
= [tex]\frac{11724.29601}{3942.2904}[/tex]
= 2.9417 solar masses
Thus the combined mass of the two star is 2.9417 solar masses.
Can anyone solve this?? I need help ASAP!! Tysm
Answer:
The answer would be D. electrical energy into mechanical energy.
Explanation:
Many devices are used to convert mechanical energy to or from other forms of energy, e.g. an electric motor converts electrical energy to mechanical energy, an electric generator converts mechanical energy into electrical energy and a heat engine converts heat energy to mechanical energy.
An electric mixer is one of the many examples of devices.
On which body in the solar system would some life forms from earth be most likely to survive?
The most likely place for life forms from Earth to survive in the solar system would be on Mars, which is present in Option A, as the conditions on Mars are harsh for most life forms, some extremophile organisms on Earth can survive in similarly extreme conditions.
What is Mars' climate?Mars has a more similar environment to Earth than any other planet or moon in the solar system, as it has a thin atmosphere that contains some of the same gases as Earth, including carbon dioxide, nitrogen, and argon. Mars also has seasons, polar ice caps, and evidence of liquid water in the past, but the surface of Mars is not habitable for most Earth organisms but some similarities do exist, however, that make it similar to Earth.
Hence, the most likely place for life forms from Earth to survive in the solar system would be on Mars, which is present in Option A.
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The question is incomplete, complete question is below
On which body in the solar system would some life forms from earth be most likely to survive?
A)Mars
B)jupiter
A student wishes to make the magnetic force exerted by the electromagnet shown below greater. Which procedure step could the student follow to accomplish this goal?
Answer:
Increase the number of loops in the coil.
Explanation:
Base on the scenario been described in the question, if the student wishes to increase the make the electromagnetic greater, the student should Increase the number of loops in the coil. By so doing, the electromagnetic force will be greater
According to Hooke's law, when the applied force that stretches a spring increase, the extension ( stretching ) will also increase.
TRUE OR FALSE??
Answer:
true
Explanation:
battery of 12 V supplies charge of 1000 C to a device work battery
Answer:
W = 12 kJ
Explanation:
We have,
Voltage of a battery is 12 V
Charge supplied by the battery is 1000 C
It is assumed to find the work is done by the battery in moving the charge. The work done is given in terms of voltage as :
[tex]W=qV\\\\W=1000\times 12\\\\W=12000\ J[/tex]
or
W = 12 kJ
So, the work of 12 kJ is done by battery in moving charges.
Identify the three subatomic particles.
Where are each of the particles located
within the atom?
A power cycle operates between a lake’s surface water at a temperature of 25 °C and water at a depth whose temperature is 6 °C. At steady state the cycle develops a power output of 14 kW, while rejecting energy by heat transfer to the lower temperature water at the rate 14,400 kJ/min. Determine the thermal efficiency of the power cycle, the maximum thermal efficiency for any such power cycle, and whether the power cycle is possible.
Answer:
[tex]\eta_{real} = 5.512\,\%[/tex], [tex]\eta_{max} = 6.373\,\%[/tex]. Possible.
Explanation:
The thermal efficiency of the real power cycle is determined by the following expression:
[tex]\eta_{real} = \frac{\dot W}{\dot Q_{H}}\times 100\,\%[/tex]
Where:
[tex]\dot W[/tex] - Power output of the power plant, in kW.
[tex]\dot Q_{H}[/tex] - Heat transfer rate from lake surface level, in kW.
The heat transfer rate from lake surface level is the sum of the heat rejection rate and the power output. That is:
[tex]\dot Q_{H} = \left(14,400\,\frac{kJ}{min} \right)\cdot \left(\frac{1}{60}\,\frac{min}{s} \right) + 14\,kW[/tex]
[tex]\dot Q_{H} = 254\,kW[/tex]
Now, the real efficiency of the power cycle is:
[tex]\eta_{real} = \frac{14\,kW}{254\,kW} \times 100\,\%[/tex]
[tex]\eta_{real} = 5.512\,\%[/tex]
Besides, the maximum possible efficiency for any power cycle is based on Carnot's cycle efficiency, whose formula is:
[tex]\eta_{max} = \left(1-\frac{T_{L}}{T_{H}} \right)\times 100\,\%[/tex]
Where:
[tex]T_{L}[/tex] - Temperature of the cold reservoir, in K.
[tex]T_{H}[/tex] - Temperature of the hot reservoir, in K.
The maximum efficiency of the cycle is:
[tex]\eta_{max} = \left(1-\frac{279.15\,K}{298.15\,K} \right)\times 100\,\%[/tex]
[tex]\eta_{max} = 6.373\,\%[/tex]
The cycle is possible as [tex]\eta_{real} \leq \eta_{max}[/tex], observing the Second Law of Thermodynamics.
An electrical device with a resistance of 100 allows a current of 2A to flow through it what is the voltage drop across the device
Answer:
200 Volts
Explanation:
V = I x R
I = 2A
R = 100 Ohms
V = 2 x 100
V = 200
Since the moon orbits the earth approximately every 27 days, there is a lunar eclipse approximately every 27 days.
True
False
Answer:
No ! its False
Explanation:
We all know , we dont have lunar eclipse in every 27 days . They do not happen every month because the Earth's orbit around the sun is not in the same plane as the Moon's orbit around the Earth.
Answer:
False
Explanation:
Yes, the moon orbits the Earth every 27 days, actually, it's precisely 27.3, but that does not mean that there is a lunar eclipse every 27 days. A lunar eclipse only happens when the full moon is directly in Earth's shadow. The moon does not pass through Earth's shadow often because of the Earth's axis. Earth only sees a couple of lunar eclipses a year.
I dont get it. The formula for this is
y[tex]\frac{amount of energy}{time}[/tex]
Answer:
5000 W
Explanation:
you are technically correct, but the question is asking for units in Watts
Recall that Power rating is the energy per unit time
= Energy ÷ Time
= 300,000 ÷ 60
= 5000 j/s
but we are told that the unit is a single letter, and recall that joules/s = watts
hence
5000j/s = 5000 W
edit: typo. Missing a zero from answer
True or false? One reason gases are easy to compress is because their particles have higher energy.
The given statement is true as molecules in gas are far away from each other due to weak forces of attraction.
What are forces of attraction?
Forces of attraction is a force by which atoms in a molecule combine. it is basically an attractive force in nature. It can act between an ion and an atom as well.It varies for different states of matter that is solids, liquids and gases.
The forces of attraction are maximum in solids as the molecules present in solid are tightly held while it is minimum in gases as the molecules are far apart . The forces of attraction in liquids is intermediate of solids and gases.
The physical properties such as melting point, boiling point, density are all dependent on forces of attraction which exists in the substances.
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_ Ba+_O2 =_BaO how do I balance this?
Answer:
02-ba=_4
Explanation:
Which formula is used to calculate average velocity?
Va
o v
;
Vave
O V =
Answer:
Vav=total distance/total time
1.
What is the most direct type of heat transfer?
radiation
conduction
Answer:
conduction is the correct answer
the car is moving on a straight road at a speed of 15m / s. The driver of the car starts overtaking with an acceleration of 2m / s². Determine how fast the car has reached after 6s from the start of overtaking. The speed at uniformly accelerated rectilinear motion with the initial speed is calculated by the formula v = vo + at.
Answer: 27 m/s
Explanation:
vo = 15 m/s
a = 2 m/s^2
t = 6s
v = vo + at
v = 15 + 2(6)
v = 15 + 12
v = 27 m/s
The image produced by a concave mirror is _____
Answer : virtual or real
Answer:
Mostly real
Explanation:
Concave mirrors can have real images.
“ If the object is further away from the mirror than the focal point, the image will be upside-down and real meaning that the image appears on the same side of the mirror as the object.”
The image produced by a concave mirror is virtual or real.
What is concave mirror?When a hollow sphere's inside surface serves as the reflecting surface and the cut part's outside is painted, the result is a mirror. The term "concave mirror" refers to this kind of mirror.
Concave mirrors have certain characteristics.
When light hits the concave mirror's reflecting surface, it converges at a single point and reflects back. A converging mirror is another name for it as a result.A magnified, upright, virtual image can be created by placing the concave mirror very close to the object.The concave mirror creates an image that might be little or large, real or virtual.Learn more about Concave mirrors here:
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10. A cyclist reaches the top of a hill at 5.0 m/s and accelerates downhill, reaching the bottom
in 8.3 s with a speed of 11.4 m/s. How long was the hill (total length down)?
Answer:94.62 m
Explanation:Distance=speed×time
Downhill,
Distance= 11.4 m/s×8.3 m/s
Therefore, Distance= 94.62 m (downhill)
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A bottlenose dolphin can hear sounds with frequencies up to 1.5 x 10^5 Hz. If the speed of sound in sea water is approximately 1.5 x 10^3 m/s, what is the wavelength of the wave thae dolphin can hear?
a
2.25 x 10^2 m
b
1 x 10^-2 m
c
1 x 10^2 m
Answer:
b. 1.0 × [tex]10^{-2}[/tex] m
Explanation:
The wavelength of a wave is the distance between successive crests or troughs. It is measured in meters, and related to velocity and frequency of the wave by:
v = fλ
Where v is the velocity, f frequency and λ is the wavelength of the wave. Given that; f = 1.5× [tex]10^{5}[/tex] Hz and v = 1.5 × [tex]10^{3}[/tex], then:
λ = [tex]\frac{v}{f}[/tex]
= [tex]\frac{1.5*10^{3} }{1.5*10^{5} }[/tex]
= 1.0 × [tex]10^{-2}[/tex] m
The wavelength, λ, of the wave is 1.0 × [tex]10^{-2}[/tex] m.
4. What is the amplitude of the waves shown in the diagram below?
Answer:
7.5 m
Explanation:
True or false? All three types of ionising radiation have the potential to make cells become cancerous or even kill them completely.
Answer:
true
Explanation:
All three types of ionising radiation have the potential to make cells become cancerous or even kill them completely.
17.
What type of energy wave is highest in energy? (3 points)
Radio wave
Microwave
Visible light
Gamma wave
Answer:
Gamma rays
Gamma rays have the highest energies, the shortest wavelengths, and the highest frequencies.
Explanation:
To do work, this truck uses energy stored in chemical fuel and an electrical battery. An illustration of truck with a wide arrow away from it labeled input energy? J and it splits into 3 arrows labeled kinetic energy 400 J, heat 250 J, and friction 150 J. How much total energy does this truck put out? 50 J 250 J 400 J 800 J
I think it may be 800 J.
Answer:
(d)
Explanation:
I took the test
Total energy does this truck put out is 800 joule.
What is energy?Energy is the ability or capability to do tasks, such as the ability to move an item (of a certain mass) by exerting force. Energy can exist in many different forms, including electrical, mechanical, chemical, thermal, or nuclear, and it can change its form.
Given in question energy split into 3 arrows labeled kinetic energy 400 J, heat 250 J, and friction 150 J. Total energy does this truck put out is 800 joule.
Total energy does this truck put out is 800 joule.
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How do patterns in motion of the stars tell us about the origin of our Universe ?
Answer:
Actually, the motion of the stars and galaxies tell us about the origin of the Universe.
You see, the light frequency of the waves we receive tell us that the galaxies
are moving away from us, and the more distant they are, the go away faster.
Now, in the outer space there's no friction at such, and according to Newton's First Law, an object won't change its direction and velocity unless an external force act on that object. That means this motion of the galaxies is due to an initial force, like an explosion, which occasionate the seperation between galaxies, that's why the Big Bang Theory exists.
So, that's how the motion of stars and galaxis tell us something about the origin of all.
Your home energy bill is given in what kind of units?
Answer:
Home energy bill/electricity bill is measured in Kilowatt hours.
Water bill is measured in gallons & gas units is measured in BTUs.
hope it helps!
At exactly the same time Daisy and David both step off a diving platform 5 m high. David jumps off and out from the platform whereas Daisy just takes a step from a standing position. Who will reach the water first?
none of them
Explanation:
the horizontal speed doesn't matter and if i got it right both of them started from the same height and both of them fell to the water (none of the jumped *higher only farther) and that's the only thing that matters. so they'll both end up there at the same time cause only gravity is affecting their movement process among the way.
someone help me plz
Answer:
Aerobic exercise includes?
(C) All activities that make you tired and short of breathe.
2. Which choice is an intense exercise that involve short burst of activity in which the muscles worked so hard that they produce energy without using energy?
(B) anaerobic exercise
Explanation:
Why does a Parallel Circuit still continue to function after a switch turns off one bulb but continues to pass through the second bulb? (please be as specific as possible)
Explanation:
In short, when we switch off a branch, the remaining branch still forms a complete circuit with the battery, so electricity still pass through the remaining branch.
Technically speaking, the voltage in each branch is the same, and the resistance of the light bulb remains unchanged (neglect effect of temp.) by V=IR, the current should remain unchanged after switching off the other branch.
how do wind, water, and waves cause erosion?
Answer:
Over time
Explanation:
When the waves crash against the rocks (erosion) small bits of rock begin to wear off. Over a lot of years lots of rock would've worn off.
Answer:
when there is high wind e.g hurricane it can cause soil erosion, when there is flood it can cause soil erosion, when there are waves it can wear out the land and cause soil erosion
Explanation:
when there is high wind e.g hurricane it can cause soil erosion, when there is flood it can cause soil erosion, when there are waves it can wear out the land and cause soil erosion
Is pure water a acid or a base?
Answer:
The pure water is neutral since its PH is 7
Answer:
NEITHER.
Explanation:
it is neutral