The subscript 2 in \(Br_2\) indicates that two atoms of bromine are joined together.
\(Br_2\), which is a bromine compound, is formed by the combination of two bromine atoms.
At normal temperature and pressure, the original colour of Bromine (\(Br_2\)) is a red-brown liquid.
When there is a subscript "2," it signifies that a molecule is made up of two Bromine atoms.
We never use subscripts of "1" while writing the chemical formula, since they are only used when more than one atom is being represented.
When referring to a diatomic molecule, we use the element's symbol and add the subscript "2" to denote the bond between two of that element's atoms.
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If 120 g of naoh were used to prepare 500 ml of solution, what would the concentration be?.
The molarity of the solution is 6M.
The Concentration Calculator is a tool for converting molarity to percentage concentration given the molar mass of a known solute and the density of the solution. Additionally, if you know the percentage concentration, you can calculate the mass of the substance per 100 g of water. Solution concentration is a measure of the amount of solute dissolved in a given volume of solvent or solution.
calculation:-
mass = 120 g
molar mass = 40
Mole = 120/40
= 3 mol
Concentration = mole/ volume
= 3/0.5
= 6 M
Concentrated solutions are solutions that contain relatively large amounts of solutes. Focus is the mental effort you put into work or study. Sometimes confused with attention span, attention span is the amount of time you can focus on something. Both m and M are units of concentration in chemical solutions. A lowercase m indicates molarity calculated using moles of solute per kilogram of solvent.
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In a ______ solar system, the planets orbit around the sun.
A. Geocentric
B. Monolithic
C. Heliocentric
D. Pericentric
for a rockfall, what two factors lead to a greater distance of travel of the moving debris?
The two critical factors that lead to a greater distance of travel of the moving debris during a rockfall are the height of the fall and the initial velocity of the rocks or debris.
A rockfall is a natural disaster that occurs when rocks or debris become dislodged from a steep slope or cliff and move downhill under the influence of gravity. The distance traveled by the moving debris during a rockfall depends on several factors, including the angle of the slope, the size and shape of the rocks or debris, and the surface characteristics of the slope.
However, two critical factors that lead to a greater distance of travel of the moving debris during a rockfall are the height of the fall and the initial velocity of the rocks or debris.
Firstly, the height of the fall plays a crucial role in determining the distance traveled by the moving debris. The higher the height of the fall, the more potential energy the rocks or debris possess. As the debris falls, this potential energy is converted into kinetic energy, increasing the velocity of the moving debris. Therefore, rocks or debris that fall from a greater height will have a higher initial velocity and travel further down the slope before coming to a stop.
Secondly, the initial velocity of the rocks or debris is another factor that determines the distance traveled during a rockfall. The initial velocity of the debris depends on the angle of the slope, the size and shape of the rocks or debris, and the surface characteristics of the slope. If the slope angle is steep, the initial velocity of the debris will be higher, leading to a greater distance traveled by the moving debris.
In conclusion, the two critical factors that lead to a greater distance of travel of the moving debris during a rockfall are the height of the fall and the initial velocity of the rocks or debris.
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Use the information in the square to answer the questions
about tin.
Answer:
50 protons in an atom of tin, 50 electrons in an atom of tin, and 69 neutrons in an atom of tin
Explanation:
A 75.0 kg weight lifter is doing arm raises using a 7.50 kg weight in her hand. Her arm pivots around the elbow joint, starting 40.0 ∘ below the horizontal. (See (Figure 1).) Biometric measurements have shown that both forearms and the hands together account for 6.50 % of a person's weight. Since the upper arm is held vertically, the biceps muscle always acts vertically and is attached to the bones of the forearm 5.50 cm from the elbow joint. The center of mass of this person's forearm-hand combination is 17.5 cm from the elbow joint, along the bones of the forearm, and the weight is held 38.0 cm from the elbow joint.
What force does the biceps muscle exert on the forearm?
Find the magnitude of the force that the elbow joint exerts on the forearm.
Find the direction of the force that the elbow joint exerts on the forearm.
Find the direction of the force that the elbow joint exerts on the forearm. (upward/downward)
As the weight lifter raises her arm toward a horizontal position, will the force in the biceps muscle increase, decrease, or stay the same?
As the weight lifter raises her arm toward a horizontal position, will the force in the biceps muscle increase, decrease, or stay the same? (increase/decrease/stay the same)
As the weight lifter raises her arm toward a horizontal position, the force in the biceps muscle will decrease.
How to solveTo find the force exerted by the biceps muscle on the forearm, we'll apply the principle of torque equilibrium.
The torque due to the weight of the forearm-hand combination, the external weight, and the biceps muscle must balance.
The total weight of the forearm-hand combination is 0.065 * 75 kg = 4.875 kg.
The torque due to the forearm-hand combination and the external weight is (4.875 kg * 9.81 m/s^2 * 0.175 m + 7.50 kg * 9.81 m/s^2 * 0.380 m) * sin(40°).
To find the force exerted by the biceps muscle (F_biceps), we'll divide this torque by the distance of the biceps attachment (0.055 m) and find F_biceps ≈ 981.29 N.
The elbow joint must exert a force equal in magnitude but opposite in direction to the sum of the biceps force and the combined weight of the forearm-hand and external weight. This force is directed both upward and horizontally toward the body.
As the weight lifter raises her arm toward a horizontal position, the force in the biceps muscle will decrease. This is because the angle between the arm and the vertical force of the biceps muscle becomes smaller, leading to a smaller torque component.
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a) A cell of dry air is moved vertically from its original position under adiabatic conditions. Depending on the temperature profile of the surrounding atmosphere, this gas cell can keep on moving in the same direction, or it may come back to its original position. Considering the temperature profile of the atmosphere, change of the air cell temperature as it moves up and down in the surrounding atmosphere, as well as relative densities of the air cell and atmosphere, explain why and when the atmosphere is considered to be convectively stable and convectively unstable. In answering this question, use diagrams of temperature change with altitude. (13 marks) b) Explain why the adiabatic lapse rate of dry air is different from the adiabatic lapse rate of wet saturated air. Show them both in a diagram. (5 marks) c) Wet unsaturated air rises from the ocean surface. The ambient lapse rate is higher than the adiabatic lapse rate for dry air. There is a temperature inversion layer at higher altitudes. Show in a schematic diagram how the temperature of the wet air changes with altitude, in comparison with the ambient temperature. Explain at what altitudes the cumulus clouds are formed and why. (7 marks)
The question addresses the stability of the atmosphere and the factors that determine convective stability or instability. It also explains the difference between the adiabatic lapse rate of dry air and wet saturated air.
a) The stability of the atmosphere is determined by the temperature profile and relative densities of the air cell and atmosphere. If the temperature of the surrounding atmosphere decreases with altitude at a rate greater than the adiabatic lapse rate of the air cell, the atmosphere is considered convectively stable.
In this case, the air cell will return to its original position. Conversely, if the temperature of the surrounding atmosphere decreases slower than the adiabatic lapse rate of the air cell, the atmosphere is convectively unstable. The air cell will continue moving in the same direction.
b) The adiabatic lapse rate refers to the rate at which temperature decreases with altitude for a parcel of air lifted or descending adiabatically (without exchanging heat with its surroundings). The adiabatic lapse rate of dry air is higher (around \(9.8^0C\) per kilometer) compared to the adiabatic lapse rate of wet saturated air (around 5°C per kilometer).
This difference arises because when water vapor condenses during the ascent of saturated air, latent heat is released, reducing the rate of temperature decrease. A diagram can illustrate the difference between the two lapse rates, showcasing their respective slopes.
c) When wet unsaturated air rises from the ocean surface, its temperature decreases at a rate equal to the dry adiabatic lapse rate. However, if the ambient lapse rate (temperature decrease with altitude) is higher than the adiabatic lapse rate for dry air, a temperature inversion layer forms at higher altitudes.
In this inversion layer, the temperature increases with altitude instead of decreasing. A schematic diagram can depict the temperature changes of the wet air in comparison to the ambient temperature, showing the inversion layer.
Cumulus clouds form at the altitude where the rising moist air reaches the level of the temperature inversion layer. These clouds are formed due to the condensation of water vapor as the air parcel cools to its dew point temperature.
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A plant expansion is planned for City of Beaumont. The new design flow rate is 1.2 m³/s. A deep bed monomedia filter with a design loading rate of 575 m³/d. m² of filter is to be used. If each filter box is limited to 50 m² of surface area, how many filter boxes will be required? Check the design loading with one filter box out of service. Propose an alternative design if the design loading rate is exceeded with one filter box out of service.
One filter box will be required for the plant expansion, but an alternative design needs to be proposed if the design loading rate is exceeded with one filter box out of service.
To determine the number of filter boxes required, we need to calculate the total surface area required and divide it by the maximum surface area per filter box.
Calculate the total surface area required:
Total surface area = Design flow rate / Design loading rate
Total surface area = 1.2 m³/s × 24 × 3600 s / (575 m³/d × 1 d/24h)
Total surface area = 18.67 m²
Determine the number of filter boxes required:
Number of filter boxes = Total surface area / Maximum surface area per filter box
Number of filter boxes = 18.67 m² / 50 m²
Number of filter boxes = 0.37 (round up to the nearest whole number)
Number of filter boxes = 1 (since we cannot have a fraction of a filter box)
Therefore, one filter box will be required to meet the design loading rate.
To check the design loading with one filter box out of service, we need to recalculate the loading rate:
Calculate the new design loading rate:
New design loading rate = Design flow rate / (Number of filter boxes - 1)
New design loading rate = 1.2 m³/s / (1 - 1)
New design loading rate = Undefined
Since the new design loading rate is undefined when one filter box is out of service, an alternative design should be proposed to ensure that the design loading rate is not exceeded. This could involve increasing the number of filter boxes or redesigning the filtration system to accommodate the required flow rate.
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A stone is dropped from a high tower and 9.21 seconds later it hits the ground. How high is the tower?
Answer:
S = 415.64m
Explanation:
Given the following data;
Time, t = 9.21secs
Since it's a free fall, acceleration due to gravity = 9.8m/s²
Initial velocity, u = 0
To find the height of the tower, we would use the second equation of motion;
\( S = ut + \frac {1}{2}at^{2}\)
Where;
S represents the displacement or height measured in meters. u represents the initial velocity measured in meters per seconds. t represents the time measured in seconds. a represents acceleration measured in meters per seconds square.Substituting into the equation, we have;
\( S = 0*9.21 + \frac {1}{2}*(9.8)*9.21^{2}\)
\( S = 0 + 4.9*84.8241\)
\( S = 4.9*84.8241 \)
Height, S = 415.64m
Therefore, the tower is 415.64m in height.
on what does the angular momentum of an object depend? select all that apply. on what does the angular momentum of an object depend?select all that apply. the rate at which that the object rotates. the mass of the object. the shape of the object. the axis of rotation.
The angular momentum of an object depends on: the rate at which that the object rotates, the mass of the object, the shape of the object and the axis of rotation.
What is angular momentum?The definition of angular momentum is: the characteristic of any rotating object determined by the product of inertia and angular velocity.
It is a property of a rotating body determined by the product of the rotating object's moment of inertia and angular velocity. It is a vector quantity, so along with magnitude, direction must also be taken into account.
It depends on: the rate at which that the object rotates, the mass of the object, the shape of the object and the axis of rotation.
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Answer:
Mass,Velocity and Acceleration
Explanation:
Hope this helps and its different for everyone for me it was A,B and C what was it for you
What will be net force be if net forces are unbalanced?
Answer: If the forces on an object are balanced, the net force is zero. If the forces are unbalanced forces, the effects don't cancel each other. Any time the forces acting on an object are unbalanced, the net force is not zero, and the motion of the object changes.
a car is traveling up one side of a hill and down the other side. the top of the hill is a circular arc with a radius of 45.0 m. determine the maximum speed the car can have without losing contact with the road.
When a car travels up one side of a hill and down the other, it can lose contact with the road if it goes too fast. The maximum speed the car can have without losing contact with the road is 21.8 m/s.
The weight of the car is equal to its mass times gravity, which is equal to m * g. The normal force, on the other hand, is the force that the ground exerts on the car, and it is equal in magnitude to the weight of the car but in the opposite direction.
When the normal force is zero, the car loses contact with the road, which is why we're looking for the maximum speed that will still produce a normal force greater than zero.
Thus, the maximum speed can be found using the equation: v² / R = g; where v is the maximum speed of the car,
R is the radius of the circular arc, and
g is the acceleration due to gravity.
Substituting the given values gives: v² / 45.0 = 9.81
Solving for v, we get: v = √(45.0 * 9.81) = 21.8 m/s
Therefore, the maximum speed the car can have without losing contact with the road is 21.8 m/s.
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A galaxy cluster contains between _____ galaxies. 5,000 to 10,000 50 to 1,000 1,000 to 5,000 5 to 50 10,000 to 50,000
A galaxy cluster contains between 50 to 1,000 galaxies.
How far apart are galaxy clusters?A supercluster's galaxy clusters are frequently millions of light years apart from one another, making it difficult to estimate their distance with accuracy. The distance between us and the galaxy clusters in the Hydra Supercluster, which is around 100 million light years long, ranges from 105 to 160 million light years.
In accordance with this theory, groupings of dozens of galaxies are gravitationally drawn together to create galaxy clusters, which then combine to form clusters of hundreds or even thousands of galaxies.
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Add the following masses and express the sum decimally in grams: 0.75 cg, 19 mg, 0.35 dg, 0.005335 kg, 0.127 g.
The sum of the given masses expressed decimally in grams is 5.524 g.
To add the following masses and express the sum decimally in grams: 0.75 cg, 19 mg, 0.35 dg, 0.005335 kg, 0.127 g, we need to convert the units to the same base units.
The common base unit is gram (g). Therefore,
1 centigram = 0.01 g1 decigram = 0.1 g1 milligram = 0.001 g1 kilogram = 1000 gTherefore, 0.75 cg = 0.75 × 0.01 g = 0.0075 g
19 mg = 19 × 0.001 g = 0.019 g
0.35 dg = 0.35 × 0.1 g = 0.035 g
0.005335 kg = 0.005335 × 1000 g = 5.335 g
0.127 g = 0.127 g
Adding these masses together, we get:0.0075 g + 0.019 g + 0.035 g + 5.335 g + 0.127 g = 5.524 g. Therefore, the sum of the given masses expressed decimally in grams is 5.524 g.
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Which of the following is evidence that a physical change has
occurred? *
a. Broken glass
b. Rust
c. Bubbles
d. Formation of a solid precipitate
Answer:
Broken glass
Explanation:
Question. 1 How much heat is necessary to warm 500g of water from 20°C to 65°C?
Answer:
The heat necessary to warm 500g of water from 20°C to 65°C is 37,620 J.
Explanation:
GIVEN: m = 500 gm, T₂ = 65°C AND T₁ = 20°C, we know that c (specific heat capacity) = 4180
TO FIND: The heat necessary to warm 500g of water from 20°C to 65°C.
SOLUTION:
By using the heat equation,
Q=m c ΔT
ΔT = T₂ - T1
ΔT = 65 - 20 = 45°C
In this case,
Q = 0.2 × 4180 × 45 = 37,620 J
when was the last time that all four of the gas giant planets were aligned on the same side of the sun?
The last time all four gas giant planets – Jupiter, Saturn, Uranus, and Neptune – were aligned on the same side of the Sun was in 1981.
Planetary alignment refers to the scenario when planets in our solar system form a straight line in relation to the Sun. This phenomenon is relatively rare due to the varying orbital periods of these planets.
Jupiter takes about 11.9 Earth years to complete one orbit around the Sun, while Saturn's orbit takes approximately 29.5 Earth years. Uranus and Neptune have even longer orbital periods, taking around 84 and 165 Earth years, respectively. These differences in orbital periods mean that true alignment of all four gas giants is not a frequent occurrence.
It is important to note that such alignments do not have any significant effects on our daily lives or Earth's environment. Although some people may associate planetary alignments with disasters or astrological predictions, these claims lack scientific basis.
In summary, the last time all four gas giant planets were aligned on the same side of the Sun was in 1981. This event is relatively rare due to the planets' differing orbital periods, and it does not have any notable impact on Earth or its inhabitants.
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Two students carried out an experiment to determine the speed of sound. This is the method used
Student A stands 100 m away from Student B.
1
2
3
4.
5.
Student A bangs two blocks of wood together making a loud sound.
Student B starts a stopclock when he sees the blocks of wood bang together.
Student B stops the stopclock when he hears the sound and records the time.
The students repeat steps 2-4 several times.
The students calculated the speed of sound from their results.
(e) Suggest the most likely source of error in the experiment.
The most likely source of error would be human error such as delay in stopping the stopwatch. The coordination error would be the source of error.
What is the speed of Sound?On Earth, the speed of sound as calculated experimentally at sea level assuming a default air temperature of 59 degrees Fahrenheit (15 degrees Celsius) is 761.2 mph (1,225 km/h). The speed of sound is slowed down because gas molecules move more slowly at lower temperatures.
Thus, sound tends to move faster in warmer air.
To explain what speed of sound is, the speed of sound can be described as the distance travelled per unit of time by any sound wave as it propagates through a completely elastic medium.
At 20 °C, temperature the speed of sound in air is about 343 meters per second, or one kilometer in 2.91 s or one mile in 4.69 s.
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When do a 1000kg car and a 2000kg truck have the same momentum
Answer:A 1000 kg car and a 2000 kg truck have the same momentum when the car is travelling at twice the speed of the truck, i.e. 38 m/s.
When a 1000kg car and a 2000kg truck have the same momentum, the speed of 1000 kg car is twice that of the 2000kg truck.
What is momentum?The product of a particle's mass and velocity is its momentum. Being a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force applied on a particle is equal to the time rate of change of momentum.
As a 1000kg car and a 2000kg truck have the same momentum,
1000 kg × v₁ = 2000 kg × v₂
v₁ = 2v₂
Hence, the speed of 1000 kg car is twice that of the 2000kg truck.
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plaque contains billions of bacteria true or false
Answer:
true
Explanation:
Answer: True
Explanation:
3. What gases compose the lower atmosphere, and what are examples of variable gases?
4. How does the atmosphere change in properties of air pressure and temperature with rise or fall in altitude, and what rates are useful to estimate how much change occurs with altitude in the Troposphere layer?
The lower atmosphere is primarily composed of nitrogen and oxygen (about 21%). Variable gases present in smaller amounts include carbon dioxide, water vapor, methane, ozone, and trace amounts of other gases.
The lower atmosphere, also known as the troposphere, is the layer closest to the Earth's surface. It is primarily composed of nitrogen, accounting for approximately 78% of the gases present, and oxygen, which makes up about 21%. These two gases are considered the main components of the lower atmosphere.
In addition to nitrogen and oxygen, there are variable gases present in smaller amounts. One example is carbon dioxide (CO2), which plays a crucial role in the Earth's climate system as a greenhouse gas. Another variable gas is water vapor (H2O), which can vary in concentration depending on the humidity of the air. Water vapor is an important component for the Earth's weather patterns and can influence temperature and precipitation.
Other variable gases include methane (CH4), which is another greenhouse gas with a significant impact on climate change; ozone (O3), which is found in the upper troposphere and stratosphere and plays a crucial role in absorbing ultraviolet radiation from the Sun; and trace amounts of other gases such as noble gases (argon, neon, helium, etc.) and pollutants like sulfur dioxide (SO2), nitrogen oxides (NOx), and volatile organic compounds (VOCs).
The properties of air pressure and temperature change with altitude in the troposphere. Air pressure refers to the force exerted by the weight of the air molecules above a given point. As altitude increases, the density of air decreases, leading to lower air pressure. Temperature, on the other hand, generally decreases with an increase in altitude in the troposphere.
The rate at which the temperature changes with altitude is called the lapse rate. On average, the lapse rate in the troposphere is about 6.5 degrees Celsius per kilometer (3.6 degrees Fahrenheit per 1,000 feet). This means that for every kilometer you ascend in the troposphere, the temperature decreases by approximately 6.5 degrees Celsius. However, it's important to note that the actual lapse rate can vary depending on various factors such as weather conditions, geography, and time of day.
Estimating changes in air pressure with altitude can be done using the barometric formula, which takes into account the decrease in air density as altitude increases. However, it's worth mentioning that air pressure can also be influenced by weather patterns, temperature variations, and local geography.
In summary, the lower atmosphere is primarily composed of nitrogen and oxygen, with variable gases such as carbon dioxide, water vapor, methane, ozone, and trace amounts of other gases. As altitude increases in the troposphere, air pressure decreases, while temperature generally decreases at a rate of approximately 6.5 degrees Celsius per kilometer.
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arrange 6.002, 6.023, 6.302, 6.020 from least to greatest
WILL MARK BRAINLIEST
Answer:
6.002
6.020
6.023
6.302
Explanation:
Why are light-years more convenient than miles, kilometers, or astronomical units (au) for measuring the distances to stars and galaxies? (select all that apply.)
Answer:
sEE BELOW
Explanation:
Well.....because the numbers are 'astronomical'....meaning VERY, VERY , VERY LARGE
A skater moves with 15 m/s velocity in a circle of radius circle of radius 30 m. The ice exerts a center force of 450 N. What is the mass of the skater?
a disc starts from rest with an angular acceleration completes 10 revolutions in 2 seconds. the time taken by it to complete 10 more revolution from that instant is
Starting from rest, the disc completes \(\theta\) revolutions after \(t\) seconds according to
\(\theta=\dfrac\alpha2t^2\)
with angular acceleration \(\alpha\). It completes 10 rev in 2 s, which means
\(10\,\mathrm{rev}=\dfrac\alpha2(2\,\mathrm s)^2\implies\alpha=5\dfrac{\rm rev}{\mathrm s^2}\)
Find the time it takes to complete 20 rev with this acceleration:
\(20\,\mathrm{rev}=\dfrac12\left(5\dfrac{\rm rev}{\mathrm s^2}\right)t^2\implies t=\sqrt8\,\mathrm s\approx2.83\,\mathrm s\)
so it takes approximately 0.83 s to complete 10 more rev.
A child looks at his reflection in a spherical Christmas tree ornament 8.0 cm in diameter in season that the image of his face is reduced by 1/2 how far is his face from the ornament
From the information given,
diameter of ornament = 8
radius = diameter/2 = 8/2
radius of curvature, r = 4
Recall,
focal length, f = radius of curvature/2 = 4/2
f = 2
Recall,
magnification = image d
Question 19 of 20
8 44%
Look at the diagram. To overcome the friction force, the man could use a slippery
substance like oil or graphite spray on the floor. These substances are examples of
what?
Enter your answer
Substances like oil or graphite spray are examples of - lubricants.
Lubrication is the control of friction and a friction-reducing film between moving surfaces such as the given diagram. The lubricant used can be a fluid, solid, or plastic substance.
Oil reduces the amount of friction by introducing a layer of a smooth and slippery substance that makes the surface smooth and slippery as well.Graphite Spray is a Lubricant that contains high purity graphite along with an organic binder that will adhere the coating to most surfaces.This leaves a dry, clean film of highly lubricous graphite.It lubricates and reduces friction in parts so they slide or rotate easily.Thus, oil or graphite spray are examples of - lubricants.
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The inertia of an object is related to its: a.mass and speed.b.mass and force.c.mass only.d.speed only
Given :
The inertia of an object is related to its: a. Mass and speed, b. Mass and force, c. Mass only, d. Speed only.
Solution :
Inertia is the tendency of an object to continue its current state i.e. motion and rest.
Now, inertia only depends on mass of the object.
If mass of object is too huge. It is hard to to change its current state in comparison to object of small mass.
Therefore, correct object is c. Mass only.
What is it called when particles in a solid or liquid move slower and closer together?
The reason at the time when particles in a solid or liquid move slower and closer together should be explained below.
What are particles?The particles should be in the form of small pieces of matters. Also, the scientist believed that each and everything in the universe should be made of the particles. here the range of the particles should be in the range via the large subatomic particles such as electrons or it has lower microscopic particles.
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energy is the ability to___or___ matter
Energy is defined in science as the ability to move matter or change matter in some other way.
A wire carrying 5.30 A is bent into a circular arc that sweeps out 0.100 radians. The magnetic field at the center of the arc is 8.80X 10^5 T? What is the radius of the arc? ___ cm
To solve this problem, we can use the formula for the magnetic field created by a current-carrying wire. Where B is the magnetic field, I is the current, r is the radius of the wire, and μ0 is the permeability of free space (a constant value)
B = μ0*I/(2*pi*r)
In this case, we are given the current (5.30 A), the magnetic field (8.80*10^5 T), and the angle swept out by the wire (0.100 radians). We want to find the radius of the arc.
We can start by rearranging the formula to solve for r:
r = μ0*I/(2*pi*B)
Substituting in the given values, we get:
r = (4*pi*10^-7)*(5.30)/(2*pi*8.80*10^5)
r = 0.00300 m
To convert this to centimeters, we multiply by 100:
r = 0.300 cm
Therefore, the radius of the arc is 0.300 cm.To find the radius of the arc, we can use the formula for the magnetic field at the center of a circular arc:
B = (μ₀ * I * θ) / (4 * π * r)
where B is the magnetic field, μ₀ is the permeability of free space (4π × 10⁻⁷ Tm/A), I is the current, θ is the angle in radians, and r is the radius.
Given:
B = 8.80 × 10⁵ T
I = 5.30 A
θ = 0.100 radians
We want to solve for r:
r = (μ₀ * I * θ) / (4 * π * B)
r = ((4π × 10⁻⁷ Tm/A) * (5.30 A) * (0.100)) / (4 * π * (8.80 × 10⁵ T))
r ≈ 1.885 × 10⁻⁶ m
Now, convert meters to centimeters:
r ≈ 1.885 × 10⁻⁶ m * (100 cm/1 m) = 1.885 × 10⁻⁴ cm
So, the radius of the arc is approximately 1.885 × 10⁻⁴ cm.
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