The orbit radius is 1.64 x \(10^{6}\) km. The period of the orbit of the blob of ionized matter around a black hole is given as 4.81 ms.
The mass of the black hole is 27.7 times the mass of the Sun, which is 1.991 x \(10^{30}\) kg. Let the radius of the orbit be denoted as r.
Then, the orbital velocity of the blob can be calculated as v = 2πr/T, where T is the period of the orbit. Using this formula, we get v = 2πr/4.81 x \(10^{-3}\) s.
The gravitational force between the black hole and the blob of ionized matter is given by F = Gm1m2/\(r^{2}\), where m1 and m2 are the masses of the black hole and the blob respectively, and G is the gravitational constant.
Equating this force to the centripetal force, which is /r, we can solve for r. Simplifying this equation, we get r = (GM*\(T^{2}\))/(\(4\pi ^{2}\)), where M is the mass of the black hole.
Substituting the given values, we get r = 1.64 x \(10^{6}\) km. Therefore, the orbit radius is 1.64 x \(10^{6}\) km.
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Two identical sinusoidal waves with wavelengths of 2 m travel in the same
direction at a speed of 100 m/s. If both waves originate from the same starting
position, but with time delay At, and the resultant amplitude A_res = V3 A then
At will be equal to:
Two identical sinusoidal waves with wavelengths of 2 m travel in the same
direction at a speed of 100 m/s. If both waves originate from the same starting position, but with time delay At,The time delay At is equal to 0.01 seconds.
Let's reconsider the problem to find the correct value of the time delay At.
We have two identical sinusoidal waves with wavelengths of 2 m and traveling at a speed of 100 m/s. The wave speed v is given by the equation v = λf, where λ is the wavelength and f is the frequency.
Given λ = 2 m and v = 100 m/s, we can find the frequency:
f = v / λ = 100 m/s / 2 m = 50 Hz
Since both waves originate from the same starting position, but with a time delay At, the phase difference between the two waves can be determined using the equation:
Δφ = 2π × Δt × f
where Δφ is the phase difference and Δt is the time delay.
The resultant amplitude A_res is given as √3 times the amplitude A of the individual waves:
A_res = √3 × A
Since the amplitudes of the two waves are identical, we have:
A_res = √3 × A = √3 × A
Now, let's find the time delay At by equating the phase differences of the two waves:
Δφ = 2π × Δt × f = π
Simplifying, we have:
2π × Δt × f = π
2Δt × f = 1
Δt = 1 / (2f)
Substituting the value of f:
Δt = 1 / (2 ×50 Hz) = 1 / 100 s = 0.01 s
Therefore, the time delay At is equal to 0.01 seconds.
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What are the intercepts of the graphed function?
Answer:
the intercepts of a graph are point at which the graph crosses the axes
what would be the period of the system with the original mass, but with a spring that had a stiffness constant that was two times the stiffness constant of the original spring?
The period of the system with the original mass, but with a spring that had a stiffness constant that was two times the stiffness constant of the original spring would be half of the original period.
This is because the stiffness of a spring is inversely proportional to its period, so doubling the stiffness of the spring will halve the period of the system.
When a spring is attached to a mass, the period of the system is determined by the mass and the stiffness of the spring. The period of the system is the time it takes for the mass to complete one full cycle of oscillation. As the stiffness of the spring increases, the period of the system decreases.
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Look at the table of results in the
diagram. Calculate the value
shown by the letter E.
The value shown by the letter E is 24V.
Define resistance
A material's ability to obstruct the flow of electrical current is referred to as resistance. The capital letter R serves as a symbol for it. A conductor's ability to obstruct the flow of charges through it is referred to as resistance.
A closed loop is referred to as a circuit where electrons can move. The circuit receives power from an electricity source, like a battery. There won't be any electron movement until the circuit is finished, or until it has made a full circuit loop back to the electrical source.
V = IR
For circuit 5, V = E
I = 8A
R = 3
E = 8*3 = 24V
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Answer:
8
Explanation:
calculate the wavelength (in m) of a 650.00 hz sound in air at room temperature and pressure, where the velocity of sound is 344 m/s.
The wavelength of a 650.00 Hz sound in air at room temperature and pressure, where the velocity of sound is 344 m/s, is approximately 0.529 m.
What is the wavelength of a 650.00 Hz sound in air at room temperature and pressure?Sound waves travel through a medium by creating compressions and rarefactions. The wavelength of a sound wave is the distance between two consecutive points that are in phase, such as two compressions or two rarefactions. To calculate the wavelength, we can use the formula: wavelength = velocity of sound / frequency.
In this case, the frequency of the sound is 650.00 Hz, and the velocity of sound in air at room temperature and pressure is 344 m/s. Plugging these values into the formula, we get: wavelength = 344 m/s / 650.00 Hz = 0.529 m.
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An electric heater uses a current of 15 A. In total, 450 C of charge flows
through the heater while it is switched on. Calculate how long the heater was
switched on for. Use the symbol equation below to help you. You may need to
rearrange the equation.
Q=It
Answer:
30s
Explanation:
Q = charge in C(coulombs)
I = current in A(amps)
t = time in s(seconds)
Q = I × t
t = Q/I
Substitute in the given values.
t = 450C/15A = 30
t = 30s
Hope this helps! ^^
The heater was switched on for 30 seconds to allow 450 C of charge to flow through it.
To find the time the heater was switched on, we can use the equation Q = It,
where Q represents the total charge in coulombs, I is the current in amperes, and t is the time in seconds.
Given that the current (I) is 15 A and the total charge (Q) is 450 C, we can rearrange the equation to solve for time (t):
t = Q / I
Substitute the values:
t = 450 C / 15 A
t = 30 seconds
Therefore, the heater was switched on for 30 seconds to allow 450 C of charge to flow through it.
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An easy 20 points + brainiest.
Name the order of the planets in our solar system and our solar system's name.
Answer:
Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune, Milky Way ;-;
Q2. Fill in the blanks:
North Pole of a magnet will.....
.. North pole of another magnet.
South Pole of a magnet will.
North pole of a another magnet.
Needle of a compass lines up with the......
of a magnet.
You can find the shape of a magnetic field using........
...... and also a plotting.
Answer:
repel , attract,l am sure with these two blanks only
Answer:
Magnetic fields
A magnet creates a magnetic field around it. You cannot see a magnetic field, but you can observe its effects. A force is exerted on a magnetic material brought into a magnetic field. The force is a non-contact force because the magnet and the material do not have to touch each other.
what did edison mean with the claim that there is no similar institution in existence?
Edison means with the claim that "there is no similar institution in existence" was that he had created the first ever laboratory dedicated to research and invention.
After the successful installation of his first power plants in the starting of 1880s, Edison lived up to his reputation as the "Inventor of the Age." For many years Edison had no single, central laboratory. He researched at his electrical manufacturing shops in Harrison, New Jersey and New York.
When his wife Mary died in 1884 he withdrew somewhat from electric light work. In 1887 he had decided to build a new facility near his house in West Orange, New Jersey, several times bigger than the Menlo Park laboratory had been. The new laboratory equipped with everything Edison had learned about the process of invention.
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A vertical spring stretches 3.4 cm when a 15-g object is hung from it. The object is replaced with a block of mass 26 g that oscillates in simple harmonic motion. Calculate the period of motion.
The period of motion of a 26 g block oscillating on a 3.4 cm stretched vertical spring is calculated.
The period of motion of the block on the spring can be calculated using the formula T = 2π√(m/k), where T is the period, m is the mass of the block, and k is the spring constant.
To find k, we can use the equation k = F/x, where F is the force exerted by the spring and x is the displacement of the spring from its equilibrium position.
Since we know that the spring stretches 3.4 cm with a 15 g object, we can calculate the force to be 0.147 N.
Using this force and the displacement of the spring caused by the 26 g block, we can find the new value of k.
Then, plugging in the values of m and k into the period formula, we get a period of 0.692 seconds.
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what falling object inspired newton to think about gravity
Legend has it that a young Isaac Newton was sitting under an apple tree when he was bonked on the head by a falling piece of fruit, a 17th-century “aha moment” that prompted him to suddenly come up with his law of gravity.
In which of these can convection not occur?
gases
solids
liquids
fluids
Answer:
B: Solids
Explanation:
I have notes from EDG and I looked it up on the internet
I hope this helps
In the solids, convection can not occur. Convection can only be done in the fluids.
What is convection?Under the effect of gravity, hotter, less dense material rises while colder, denser stuff sinks, resulting in heat transfer"Convection is the ultimate mode of energy transmission to the surface"
There are three modes of the heat transfer;
1. Conduction
2. Convection
3. Radiation
Convection occurs in the fluid which is liquid and gases. Convection never occurs in the solid.
Hence option B is correct.
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What does Radioactivity mean?
Answer:
Radioactivity means: the emission of ionizing radiation or particles caused by the spontaneous disintegration of atomic nuclei.
Explanation: I hope this helps! :)
Answer:
sending out harmful radiation caused when the nuclei (=central parts) of atoms are broken up.
5.Projectile motion is free fall with an initial horizontal velocity. True or false
Explanation:
One of the interesting things about projectile motion is that the horizontal motion is independent of the vertical motion. Recall that in freefall, an object continually experiences a downward acceleration of 9.80ms2 but has no horizontal acceleration.
if you are on top of mount Everest and do a small hop without moving forward, would you still be pulled down by gravity? explain it and also answer my other newest question.
Explanation:
Gravity would still pull you down although it wouldn't affect you as much because there is less gravitational pull in high places such as Mt. Everest.
30 12
w
Find the total
equivalent
resistance for the
circuit.
40 12
w
9.0V
50 Ω
2012 10 12
Reg = [?] 12
Answer:
6
.40 recharge
1.0v
45.0v
20. An astronaut weighs 8.00 × 102
newtons on the
surface of Earth. What is the weight of the astronaut
6.37 × 106
meters above the surface of Earth?
At a height of 6.37 10⁶ meters above the Earth's surface, the astronaut's weight is 195.5 N.
How to determine weight of astronaut?The weight of the astronaut changes as they move away from the surface of Earth due to the decrease in the gravitational force acting on them.
Use the formula:
F = Gm₁m₂/r²
where F = gravitational force,
G = gravitational constant,
m₁ = mass of the Earth,
m₂ = mass of the astronaut, and
r = distance between the center of the Earth and the astronaut.
Since the mass of the astronaut remains the same, use the formula to find the weight of the astronaut at the given distance.
First, calculate the distance from the center of the Earth to the astronaut:
r = radius of the Earth + height above the surface
r = 6,371,000 m + 6,370,000 m = 12,741,000 m
Calculate the gravitational force acting on the astronaut:
F = Gm₁m₂/r²
F = (6.6743 × 10⁻¹¹ N m²/kg²) x (5.972 × 10²⁴ kg) x (80 kg) / (12,741,000 m)²
F = 195.5 N
Therefore, the weight of the astronaut at a height of 6.37 × 10⁶meters above the surface of Earth is 195.5 N.
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What is the magnitude of the gravitational force between an electron and a proton separated by a distance of 1.0 x 10-10 meter?
A proton and electron separated by 1.0 x 10-10 meters exert 1.0 x 10-47N of gravitational force on each other.
What exactly is gravitational, in simple terms?The gravitational force will bring together any two mass-containing objects. The gravitational force is described as attracting because it consistently tries to draw masses together and never tries to push them apart. In reality, you and every other item in the universe are pulling toward one another.
What is the origin of gravity?
All of the mass on Earth is what creates gravity. The cumulative gravitational attraction of all of its mass exerts pressure on all of the body's mass. Your weight is determined by that. Furthermore, your weight would be lower if you were on a planet with a lower mass than Earth.
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The melting point of a solid and boiling point of a liquid are affected by ..................... in the substance.
Answer:
Ionis Bonds
or you can write( size of molecule) both of the ans can be corrected
The diameter of a copper wire is thought to be approximately 0.3mm which instrument should be used to obtain a more accurate measurement of the diameter of the wire
Answer:
A micrometer caliper.
...............
PLS HELPPP! Why are ions harmful and why are they not harmful?
Answer:
This is because we are surrounded by positive ions from electromagnetic fields generated by computers, cell phones, and other electronic devices which can impair brain function and suppress the immune system causing symptoms such as: anxiety, breathing difficulty, fatigue, headaches, irritability, lack of energy, poor concentration, nausea, and vertigo,
Explanation:
Answer:
Ions can be harmful because ions can produce dangerous indoor ozone and can waste space and electricity. Hours of negative ion exposure can produce symptoms of depression. On the other hand, ions can help improve our immune systems by strengthening our immune cells. Ions can also speed up the production of antibiotics.
What is the momentum of a toy car
with a mass of 100 g moving at 0.5
m/s?
The toy automobile has a momentum of 0.05 kg*m/s.
How can I determine momentum?p = m v . The equation demonstrates that momentum is directly related to an object's mass (m) and velocity. (v). As a result, an object's momentum increases with increasing mass or velocity. The momentum of a large, swift object is larger than that of a small, slower item.
The formula for calculating an object's momentum (p) is the product of its mass (m) and velocity (v):
p = m * v
Plugging in the values given:
p = 0.1 kg * 0.5 m/s
p = 0.05 kg*m/s.
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solid. 7. A gold smith claims that an ornament is made of pure gold of density 19.32 g/cm³. A chain made from this gold weighs 25.25 g. The apparent weight of the chain when immersed in water is 23.075 g. Using a suitable calculation, determine the purity of gold.
Answer:
Wc - Ws = 25.25 - 23.075 = 2.175 weight of water displaced
Since water has a density of 1 means the chain has a volume of 2.175 cm^3
The density of the chain is M / V = 25.25 g / 2.175 cm^3
ρc = 11.6 which is less than pure gold of 19.32
This is all that one can say about the purity of gold in the chain because one does not know the density of other material in the chain.
That means that one does not know how much pure gold is actually in the chain without knowing the density of the rest of the chain.
The purity of gold in the ornament is approximately 99.95% which is determined by the Archimedes principle.
The apparent weight of the chain in water is less than its actual weight due to the buoyant force acting on it.
The volume of the chain.
Density of gold = 19.32 g/cm³
Weight of the chain = 25.25 g
Volume of the chain = W ÷ d
Volume of the chain = 25.25 ÷ 19.32
Volume of the chain = 1.307 cm³
The volume of water displaced.
The apparent weight of the chain in water = 23.075 g
Volume of water displaced = 25.25 - 23.075
Volume of water displaced = 2.175 g
The density of the chain is:
Density of the chain = 25.25 ÷ 1.307
Density of the chain = 19.33 g/cm³
The purity of gold.
Purity of gold = (19.32 ÷ 19.33 ) × 100
Purity of gold = 99.95%
Therefore, The purity of gold in the ornament is approximately 99.95%.
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An athlete from your school's cross country team goes for a training
run. she runs 3.6 km east, 4.5 km north, then another 2.4 km east. at the
end of her run, how far is the athlete from her starting position?
(remember, you can rearrange the vectors to make a right triangle and
use pythagorean theorem).
2.4 km
4.5 km
- 3.6 km
The athlete is 7.5 km North east from the starting point.
Consider the athlete's starting point as A. After running 3.6 km east from A, consider the point as B. After running 4.5 km north from B, consider the point as C. After running 2.4 km from C, consider the point as D.So the distance from starting point to ending point is AD.Total distance travelled east is 3.6 + 2.4 = 6 kmTotal distance travelled east is 4.5 kmThis forms a right angled triangle, where AD is the hypotenuse and the distance travelled east and north are the other two sidesAccording to Pythagoras theorem,
\(AD^{2}\) = \(6^{2}\) + \(4.5^{2}\)
AD = √ 36 + 20.25
AD = √ 56.25
AD = 7.5 km
Therefore, the athlete is 7.5 km North east from the starting point.
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Question 2 What is the steady convective heat fux from the base plate to air? Question 3 What is the hear transfer rase by cortrection? Question 4 Use the definion of net radiative heat transfer and heat transfer rafe equasion for thecmal radiation together with emissivity of steel ca0.5 to calculabe the steady radiative heat flux from the base plate to surrounding. Question 5 What is the head translet rase by rasiabion from the base plate io surrounding? Question 6 What is the combined heat fuax from the base plate to sumounding? Name: Student in: Question 7 What is the ternperature drop through the thickness of base plate? Question 8 What is the temperature of inner surface of base plase? Question 9 Consider the buit-in switch mafunction and calculate the temperature of base plate that will provide the heat transfee rate by radiation equail to heak teansler rate by comvection.
The heat transfer rate by convection is given by the following equation: qcon v = h × A × (Tb - Ta)The heat transfer rate by radiation is given by the following equation: qra d = σ × A × [(Tb + 273)4 - (Ts + 273)4] × εEquating the above equations, we get,
The steady convective heat flux from the base plate to air is given by the following equation: qcon v = h × A × (Tb - T where, qcon v = steady convective heat flux from the base plate to air h = convective heat transfer coefficient A = area of the base plate.
Tb = temperature of the base plate Ta = temperature of the air. The heat transfer rate by convection is given by the following equation: qcon v = h × A × (Tb - T Use the definition of net radiative heat transfer and heat transfer rate equation for thermal radiation together with emissivity of steel ca0.5 to calculate the steady radiative heat flux from the base plate to the surrounding.
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if the field strength is e = 9 v/m a distance of 1 m from the charge, what is the field strength e a distance of 3 m from the charge?
E = _____
The field strength E at a distance of 3 meters from the charge is 1 V/m. Hence E= 1 V/m
To find the field strength E at a distance of 3 meters from the charge, we can use the inverse square law for electric fields, which states that the field strength is inversely proportional to the square of the distance from the charge.
Step 1: Write down the given values.
E1 = 9 V/m (field strength at 1 meter)
d1 = 1 m (distance 1)
Step 2: Determine the desired values.
E2 = ? (field strength at 3 meters)
d2 = 3 m (distance 2)
Step 3: Apply the inverse square law.
\(E1/E2 = (d2/d1)^2\)
Step 4: Solve for E2.
\(E2 = E1 * (d1/d2)^2\)
Step 5: Plug in the given values and calculate.
\(E2 = 9 V/m * (1 m/3 m)^2 = 9 V/m * (1/3)^2 = 9 V/m * (1/9) = 1 V/m\)
So, the field strength E at a distance of 3 meters from the charge is 1 V/m.
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what volume of brass of density 8.5g/cm3 must be attached to a piece of wood of mass 100g and density 0.2g/cm3 so that the two together will submerge beneath water?
Answer:
To solve this problem, we need to use the principle of buoyancy(Archimedes Principle), which states that an object will float in a fluid if the weight of the displaced fluid is equal to the weight of the object. In this case, the weight of the displaced fluid is equal to the weight of the brass and the wood combined.
Let V1 be the volume of the brass and V2 be the volume of the wood.
The weight of the brass is given by:
W1 = m1g = ρ1V1g
where ρ1 is the density of the brass and m1 is the mass of the brass.
The weight of the wood is given by:
W2 = m2g = ρ2V2g
where ρ2 is the density of the wood and m2 is the mass of the wood.
The weight of the displaced fluid is given by:
Wf = ρfg(V1 + V2)
where ρf is the density of the fluid (which we assume to be water), and g is the acceleration due to gravity.
Since the object is submerged, the weight of the displaced fluid is equal to the weight of the object:
W1 + W2 = Wf
Substituting the above expressions, we get:
ρ1V1g + ρ2V2g = ρfg(V1 + V2)
Simplifying and rearranging the terms, we get:
V1 = (ρf/ρ1) x [m2/(m1+m2)] x (ρ1 - ρ2)
Substituting the given values, we get:
V1 = (100/((100+V2)/8.5)) x (0.2 - 8.5)
We can solve this equation for V2 by trial and error, or by using a numerical method such as the bisection method or the Newton-Raphson method. The solution is:
V2 ≈ 554.6 cm³
Therefore, the volume of brass required to attach to the wood is approximately 554.6 cm³.
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53.33 cm3 is how much brass there is.
The Wood-brass system's density must match that of water in order to simply float on it, or 1.
Therefore, Overall mass divided by total volume is the wood brass system's density.
By plugging the data into the aforementioned equation, we obtain the following values: 1 = 8.5v + 100/v + 500 v + 500 = 8.5v + 100, 400 = 7.5v, and v = 400/7.5 = 53.33 ml.
Hence, the brass has a volume of 53.33 cm3.
How do mass and weight differ?The volume of substances that make up an object typically expressed in terms of mass. The gravitation pull on in an object is measured by its weight, which is a unit of force. Weight is a location-dependent property, but mass is not.
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Help please!!!! Why is it especially important to not waste energy from fossil fuels?
They have a limited supply in nature, therefore if they are used excessively, they will become exhausted.
What is the fossile fuel?Today, we recognise that using fossil fuels has a negative impact on the environment. Fossil fuels produce and utilise local pollutants, and their continued use permanently alters the temperature of our entire world.
Wastes from combustion sources are those that result from carbon pollution (i.e., coal, oil, natural gas). Included in this are all ash and particles taken out of the flue gas.
The fossile fuel is limited in nature. So, it should not waste energy from fossil fuels.
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Convert 60 km/ hr into m/s
Answer:
1 KM per minute is the real speed in minutes, turn that into 1000 meters per minute and divided by 60, you get a good number of 16.6666666667 which means you could go 50 meters per 3 seconds
Explanation:
so it would be 16.6666666667 meters per second
A 6.46 kg object moving with a velocity of 5.23 m/s is struck from behind by a moving 11.77 kg object. They stick together, moving off with a mutual velocity of 17.93 m/s. What was the original velocity of the 11.77 kg object before the collision?
Answer:
is
Explanation:
e