(a) The final angular velocity [tex](\(\omega_2\))[/tex] of the neutron star is approximately [tex]\(1.42 \times 10^{-5}\)[/tex] rad/s.
(b) The final angular velocity [tex](\(\omega_2'\))[/tex] of the neutron star is approximately [tex]\(3.54 \times 10^{-6}\)[/tex] rad/s.
**(a) Assume that the thrown-off mass carries off no angular momentum:**
1. Calculate the initial moment of inertia [tex](\(I_1\)):[/tex]
[tex]\[I_1 = \frac{2}{5} \cdot (8 \cdot \text{mass of the Sun}) \cdot (\text{radius of the Sun})^2\][/tex]
The mass of the Sun is approximately [tex]\(2 \times 10^{30}\)[/tex] kg, and the radius of the Sun is approximately 6.96 x [tex]10^8[/tex] meters. Calculate [tex]\(I_1\): \[I_1 = \frac{2}{5} \cdot (8 \times 2 \times 10^{30} \text{ kg}) \cdot (6.96 \times 10^8 \text{ m})^2\][/tex]
This gives [tex]\(I_1 \approx 3.06 \times 10^{40}\) kg m^2.[/tex]
2. Calculate the initial angular velocity [tex](\(\omega_1\)):[/tex]
The rotation period is 12 days, which is equivalent to [tex]\(12 \times 24 \times 60 \times 60\)[/tex] seconds. Calculate
[tex]\(\omega_1\): \[\omega_1 = \frac{2\pi}{12 \times 24 \times 60 \times 60} \text{ rad/s}\][/tex]
This gives [tex]\(\omega_1 \approx 1.99 \times 10^{-7}\) rad/s.[/tex]
3. Calculate the initial angular momentum [tex](\(L_1\)): \[L_1 = I_1 \cdot \omega_1 = (3.06 \times 10^{40}\, \text{kg·m²}) \cdot (1.99 \times 10^{-7}\, \text{rad/s})\][/tex]
This gives [tex]\(L_1 \approx 6.11 \times 10^{33}\) kg m^2/s.[/tex]
4. Calculate the final moment of inertia [tex](\(I_2\)):[/tex]
The final radius of the neutron star is 12 km, which is equivalent to 12,000 meters. Calculate [tex]\(I_2\):[/tex]
[tex]\[I_2 = \frac{2}{5} \cdot (3/4 \cdot \text{mass of the Sun}) \cdot (12,000 \text{ m})^2\] \[I_2 = \frac{2}{5} \cdot (3/4 \cdot 2 \times 10^{30}\, \text{kg}) \cdot (12,000\, \text{m})^2\][/tex]
This gives [tex]\(I_2 \approx 4.32 \times 10^{38}\)[/tex] kg·m².
5. Use the conservation of angular momentum [tex](\(L_1 = L_2\))[/tex] to find the final angular momentum [tex](\(L_2\)): \[L_2 = L_1 = 6.11 \times 10^{33}\, \text{kg·m²/s}\][/tex]
6. Calculate the final angular velocity [tex](\(\omega_2\))[/tex] of the neutron star:
[tex]\[\omega_2 = \frac{L_2}{I_2} = \frac{6.11 \times 10^{33}\, \text{kg·m²/s}}{4.32 \times 10^{38}\, \text{kg·m²}}\][/tex]
This gives [tex]\(\omega_2 \approx 1.42 \times 10^{-5}\)[/tex] rad/s.
**(b) Assume that the thrown-off mass carries off its proportional share (3/4) of the initial angular momentum:**
1. Calculate the final angular momentum [tex](\(L_2'\))[/tex] considering that 3/4 of the initial angular momentum is carried away by the mass that is thrown off during the collapse:
[tex]\[L_2' = (1 - \frac{3}{4}) \cdot L_1 = (1 - 0.75) \cdot 6.11 \times 10^{33}\, \text{kg·m²/s}\][/tex]
This gives [tex]\(L_2' \approx 1.53 \times 10^{33}\, \text{kg·m²/s}\).[/tex]
2. Calculate the final angular velocity [tex](\(\omega_2'\))[/tex] of the neutron star:
[tex]\[\omega_2' = \frac{L_2'}{I_2} = \frac{1.53 \times 10^{33}\, \text{kg·m²/s}}{4.32 \times 10^{38}\, \text{kg·m²}}\][/tex]
This gives [tex]\(\omega_2' \approx 3.54 \times 10^{-6}\)[/tex] rad/s.
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Homeowners will typically have their heaters set for about 140 degrees F. What is that temperature in C.
To convert 140 degrees Fahrenheit to Celsius, subtract 32 from the Fahrenheit temperature and multiply the result by 5/9, resulting in 60 degrees Celsius.
To convert a temperature from Fahrenheit to Celsius, we can use the formula: C = (F - 32) × 5/9, where F is the temperature in degrees Fahrenheit and C is the temperature in degrees Celsius. So, for a heater set to 140 degrees Fahrenheit, the conversion to Celsius would be:
C = (140 - 32) × 5/9
C = (108) × 5/9
C = 60
Therefore, 140 degrees Fahrenheit is equal to 60 degrees Celsius. This knowledge is essential when discussing the power needed to keep a house warm, as energy requirements are usually given in watts per degree Celsius (W/°C).
I need help with 2 questions . Please help c:
1 . According to the nebular theory, the solar system formed from ?
accretion of protoplanets.
a large, thin cloud of dust and gas.
colliding planetesimals.
all of the above
2. Which of the following statements explains why the terrestrial planets are small and rocky instead of large and less dense like the gas giants?
The inner planets were exposed to much higher temperatures.
Ice-forming compounds vaporize at high temperatures.
Rock-forming materials can condense at high temperatures.
all of the above
Whats number 4 ?????????
Which mineral is hard and has the same color and streak
Final answer:
A hard mineral with the same color as its streak is likely a metallic mineral, with examples including hematite and galena. The streak test is performed using an unglazed porcelain plate to reveal the color of the mineral's powder form.
Explanation:
The mineral in question, which is hard and has the same color as its streak, could refer to one of the metallic minerals, as they often have a streak color that is indicative of their actual color. Examples include hematite, with a dark gray on hand-sample but a red-brown streak, or galena, which has a dark gray streak matching its dark gray appearance. To determine the streak color, one can perform a streak test by rubbing the mineral across an unglazed porcelain plate. This test is useful because the powder form of the mineral may show colors that are different from the bulk mineral due to the particle size affecting how light is absorbed and reflected.
To find amplitude, measure _____.
A: the horizontal distance between consecutive crest positions
B: the horizontal distance between a consecutive crest and trough
C: the vertical distance from a crest to a trough
D: the vertical distance from a crest to the rest position
Never mind, use this for free points. I already answered it.
The amplitude of a wave is defined as the vertical distance from a crest (or trough) to the rest (equilibrium) position of the wave. Thus, to determine the amplitude, one must measure this vertical distance.
Explanation:The amplitude of a wave is the measure of the maximum displacement of the medium from its rest position. It can be seen as the 'height' of the wave, and it's measured vertically. If we consider a wave to be symmetrical, the crest (top of the wave) is distance +A above the equilibrium (resting) position, and the trough (bottom of the wave) is distance -A below it.
Thus, the amplitude refers to the vertical distance from a crest (or trough) to the rest position. In simpler terms, to find the amplitude, measure the vertical distance from a crest to the rest position. Hence, the correct answer is D: the vertical distance from a crest to the rest position.
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The closeness of measured values to an accepted value is the BLANK of the data ?
The sound intensity of street traffic is about 107 times greater than the threshold of hearing. what is the relative intensity of street traffic? use the formula
Bob read data from the projectile motion lab graph shown and determined that the drop time was inversely proportional to the horizontal velocity. Which of the following statements is true?
Bob's conclusion was wrong because the x-axis scale is exaggerated.
Bob's conclusion was right because the data points were connected.
Bob's conclusion was wrong because the y-axis scale is exaggerated.
Bob's conclusion was right because the x-axis scale is exaggerated.,
to increase friction you could :
a.increase the mass of an object
b.put your objects on a wheel
c.make the surfaces smooth or slick
Before going to answer this question first we have to know something about friction.
Friction is the opposing force which is due to interlocking of irregularity and wielding effect.In our naked eye a surface may look smooth, but at microscopic level, it has elevations and depressions.
A rough surface has more friction as compared to a smoother surface as smoother surface has less irregularity.
Again we know that that rolling friction is less than sliding friction.so whenever the object will be placed on a wheel,so there will be less friction.
Again we know that the frictional force is directly proportional to the normal reaction.
The empirical formula for frictional force F= coefficient of friction × normal reaction[tex]i.e F=\mu*N[/tex]
so whenever the mass increases ,correspondingly there will be increment in normal reaction which results in the increment in kinetic friction.
But one thing we have to remember that friction is also dependent on contact area.As long as the contact area is same ,there will be no increment in friction due to increment in mass.
So the first answer is partially correct.
Where in the motion is the magnitude of the net force on the object a maximum? where in the motion is the speed a maximum?
Which statement describes what most likely occurs when a compass is placed next to a simple circuit made from a battery, a light bulb, and a wire?
A. A magnetic field created by the compass increases the current in the electrical circuit.
B. A magnetic field created by the compass causes the light bulb to stop working.
C. A magnetic field created by the electric current places negative charges on the compass.
D. A magnetic field created by the electric current causes the compass needle to move.
In this circuit A magnetic field created by the electric current causes the compass needle to move. hence option D is correct.
Faraday's law of induction ?Faraday's law states that "change in a magnetic field produces electric field in the circuit". It can also be stated as " when magnetic flux linked to a circuit changes, an electromotive force is induced in the circuit which is proportional to the rate of change of the flux".
If the wire shown in the circuit is non coated with insulated material. Current flowing through the circuit produces magnetic field around it. This produced magnetic field affects the magnetic field of middle of the compass. Created magnetic field of wire attract needle due to its magnetic field, as a result needle moves.
Hence option D is correct.
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Cellular phones use _____?
A) radar waves
B) very high-frequency waves
C) very low-frequency waves
D) microwaves
3. D-Microwaves
1. C-electromagnetic spectrum
2. B-radio waves
^^(for those doing the three question physical science test)
1. Show how the alternative definition of power, found in your book, can be derived by substituting the definitions of work and speed into the standard definition of power, P = W / delta t.
2. A real spring does not oscillate forever. Instead, it eventually comes to a stop. Does this violate the Law of Conservation of Energy? Explain why or why not.
Thunderstorms occur where warm, moist air has absorbed enough heat and moisture to be significantly __________ than the surrounding air.
is the following chemical equation balanced? 2Na + 2H 2 O 2NaOH + H 2
Yes it is.
There are 2 Na atoms on each side,
there are 4 H atoms on each side (2H and H₂),
there are 2 O atoms on each side.
This means that the equation is even (not accounting for energy loss or anything like that).
Which of the following represents the greatest energy transition from a higher energy level to a lower one?
emission of a blue photon of 450 nm
emission of a red photon of 770 nm
emission of a green photon of 550 nm
emission of a yellow photon of 590 nm
Final answer:
The greatest energy transition from a higher energy level to a lower one is represented by the emission of a blue photon of 450 nm.
Explanation:
The greatest energy transition from a higher energy level to a lower one is represented by the emission of a blue photon of 450 nm. This is because the energy of a photon is inversely proportional to its wavelength. As the wavelength decreases, the energy increases. Since blue light has a shorter wavelength than red, green, and yellow light, it has the highest energy.
A rock is thrown upward with an initial velocity of 16 ft/s from an initial height of 5 ft. write a quadratic function equation that describes the height h at time t.
The quadratic function equation that describes the height of the rock is h = -16t^2 + 16t + 5.
Explanation:To write a quadratic function equation that describes the height h at time t, we can use the kinematic equation for vertical motion: h = -16t^2 + 16t + 5. This equation represents the height of the rock as a function of time, taking into account the initial height, initial velocity, and acceleration due to gravity. The coefficient -16 in front of t^2 accounts for the downward acceleration of the rock.
What electron current is driven through a 2.3-mm-diameter iron wire by a 0.063 v/m electric field?
To calculate the electron current driven through the iron wire, we need to find the drift velocity and the number of free electrons per cubic meter. By using the formula I = nqAvd, we can calculate the current.
Explanation:The electron current driven through the iron wire can be calculated using the formula I = nqAvd. Given that the electric field is 0.063 V/m, we need to calculate two quantities: the drift velocity (vd) and the number of free electrons per cubic meter(n). We can then substitute these values into the equation to find the current (I).
To calculate the drift velocity (vd), we need to calculate the number of free electrons per cubic meter (n). We can use the density of iron (8.80 × 10³ kg/m³) and the atomic mass of iron (63.54 g/mol) along with Avogadro's number (6.02 × 10²³ atoms/mol) to determine n.
Finally, substituting the values of n, q, A, and vd into the equation I = nqAvd, we can calculate the electron current driven through the iron wire.
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How are important properties of Mercury, Venus, and Mars different from important properties of Earth?
Andesitic rocks have mineral compositions between those of ____ and basaltic rocks.
a. conglomerate
c. granitic
b. metamorphic
d. organic
The answer is Granitic rock
Explanation:Granite is a light-colored igneous rock with pieces that are large enough to be visible with the naked eye. It is formed from the slow crystallization of magma below Earth's surface which we call as lava. Granite is composed mainly of quartz and feldspar with very small amounts of mica, amphiboles, and other minerals. If we talk about Andesitic rocks, they contain mineral compositions between those of granite and basaltic rocks.
Which of the following are metalloid elements?
Check all that apply.
A. Boron (B)
B. Phosphorus (P)
C. Silicon (Si)
D. Tin (Sn)
E. Lead (Pb)
Know the characteristics of a solid, liquid, gas, plasma. (Definite shape/ volume?)
What is the difference between faults and folds?
Write the value 299,792,458 m/s in proper scientific notation to 4 significant figures. 2.998 × 108 m/s 2.997 × 108 m/s 2.998 × 106 m/s 2.997 × 106 m/s
Jesse travels 3.0 meters east and then turns and travels 4.0 meters north. Which of the diagrams below illustrates his displacement?
Answers are in the diagram below.
Choose one.
And I will mark the right answer The Brainliest.
Answer: the Fourth diagram
Explanation: The fourth diagram shows movement from her origin with the arrows indicating her movement 3metres east, from where she turns north and walks 4 metres the arrows indicates that. The resultants 5meters indicates her return back to her starting point with the arrow pointing at the tail of the 3metres.
20 points BRAINLIEST!!! ASAP ANSWER
Choose one piece of evidence. Explain, in your own words, how it supports the Big Bang Theory.
A. Redshift
B. CMB
C. Hydrogen and Helium
D. Less Evolved Distant Galaxies
A 9.0 cm object is 3.0 cm from a lens, which has a focal length of –12.0 cm.
Which is not a protection against electrical accidents?
a. fuse
b. conducting wire
c. insulation
d. grounded plug
How many atoms of each element are in the chemical formula P2O5?
2 phosphorus and 5 oxygen
5 phosphorus and 2 oxygen
1 phosphorus and 5 oxygen
2 phosphorus and 1 oxygen
the answer is the last one
Answer:
2 phosphorus and 5 oxygen
Explanation:
The chemical formula of the substance is:
[tex]P_2 O_5[/tex]
where each subscripts indicates the number of atoms of each element. We see that P (phosphorus) has a subscript '2' while O (oxigen) has a subscript '5', so the correct answer is
2 phosphorus and 5 oxygen
As part of the photoelectric effect, which of these is responsible for the pixels in an image on a digital camera?
A. accumulated electrons that are absorbed by the image sensor.
B. accumulated electrons that are ejected by the image sensor.
C. accumulated photons that are ejected by the image sensor.
D. accumulated photons that are absorbed by the image sensor.,
Answer:
It's B) accumulated electrons that are ejected by the image sensor
On edge 2020
Explanation: