In order for the barge to pass under the low bridge, the pile of sand on the barge should be removed. Adding more sand would only make the pile taller and the barge even less likely to pass under the bridge. By removing sand from the pile, the barge's height would decrease, allowing it to safely pass under the bridge without any issues.
To allow the barge to pass under the low bridge, sand should be removed from the barge. This will decrease the overall height of the sand pile, ensuring that the barge can safely pass without getting stuck or damaging the bridge. Additionally, removing sand will reduce the weight of the barge, causing it to float higher in the water and further increase its clearance.
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Giving brainlist so plz help
What were John Locke's 3 big ideas
A. Natural rights, consent of the people, and moral obligation to rebel.
OR
B. Life, Liberty, and property
Answer:
Among these fundamental natural rights, Locke said, are "life, liberty, and property." Locke believed that the most basic human law of nature is the preservation of mankind. To serve that purpose, he reasoned, individuals have both a right and a duty to preserve their own lives.
Explanation:
From Google
Can I have brainliest
The spark plug of a motor bike does NOT work because the user did not use a torque wrench to tighten spark plug, instead he/she used a regular wrench. This is an example of? *
A. What is the RPN Number?
B. What are the potential Failure Modes?
C. What are the Potential Causes?
D. What are the Potential Effects?
This is an example of potential cause and effect. The potential cause is the improper use of tools, specifically using a regular wrench instead of a torque wrench to tighten the spark plug. The potential effect is the malfunctioning of the spark plug, leading to its failure to work properly.
Using the wrong tool, in this case, a regular wrench instead of a torque wrench, can lead to overtightening or undertightening of the spark plug. A torque wrench is specifically designed to apply a specific amount of torque or rotational force to tighten the spark plug to the manufacturer's specifications. Without using a torque wrench, it becomes challenging to achieve the correct tightness, which can result in a range of issues.
In the given scenario, the potential failure mode is the spark plug not functioning correctly, leading to the bike's engine not igniting properly. This can result in poor engine performance, misfires, or complete engine failure. Using the appropriate tools and following proper procedures is crucial to ensure the reliable and safe operation of mechanical components.
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How does a decrease in thermal energy affect the kinetic energy of the particles in each state of matter?
Answer:
kinetic and potential energy). The opposite is true when you remove thermal energy: Particles move slower (less kinetic energy). Particles get closer together (less potential energy)
Answer:
Explanation:
kinetic and potential energy). The opposite is true when you remove thermal energy: Particles move slower (less kinetic energy). Particles get closer together (less potential energy).
Does this make sense??-
water poursed slowly from a teapot spout can double back under the spout for a considerable distance
Siphoning is a technique for drawing liquid from a higher elevation to a lower one, typically from a container of some sort to the ground, with the aid of an intermediary mechanism. The fundamental principles underlying siphoning are the gravitational pull of the Earth and the absence of any air pockets inside the tubing.
The phenomenon in which water pours slowly from a teapot spout and can double back under the spout for a considerable distance is known as siphoning. Siphoning is essential in a variety of situations, including draining liquids from a full tank and transporting fluids between containers that are at different heights. Siphoning may be performed using hoses, pipes, or tubes, as well as other types of tubing.
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A partial sum of an arithmetic sequence is given. find the sum. 5 9 13 . . . 381
The sum arithmetic sequence is 18,335 of a partial sum of an arithmetic sequence is given 5 9 13 . . . 381
Calculation
d = 9-5 = 4
a = 5
\(a_n\) = 5 + 4(n -1) = 381
= 5 + 4n -4 = 381
= 4n +1 = 381
= 4n = 380
= n = 380/4
= 95
Now,
\(S_{95}\) = \(95(\frac{5 + 381}{2} )\)
= 95 × 193
= 18,335
What is arithmetic sequence?The series where the common difference between any two next words stays constant is known as an arithmetic sequence. Let's review what a sequence is. A collection of numbers that follow a pattern is called a sequence. As an illustration, the numbers 1, 6, 11, 16,... are an arithmetic sequence because they follow a pattern in which the preceding term is multiplied by 5 to produce each subsequent number. There are two formulas for arithmetic sequences.
The equation to determine the nth term in an arithmetic sequenceThe equation for calculating the sum of an arithmetic sequence's first n termsLearn more about arithmetic sequence
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Select the best answer for the question.
3. Aside from representing the circuit components and the way they're connected to each other, the electrical symbols used in schematic diagrams also represent the
OA. physical location of the circuit.
OB. functions of the circuit.
O C. size of the circuit.
OD. actual shapes of the circuit components.
The electrical symbols used in schematic diagrams also represent the physical location of the circuit.
What is schematic diagram in electrical?A schematic diagram is a basic, two-dimensional representation of an electrical system that shows the connectivity and operation of various electrical components.
A simplified drawing that uses symbols and lines to represent key information is called a schematic diagram. For instance, if you're taking the subway, you might see a "map" that shows all the stations along the route, but it won't show all the streets and structures you might pass.
Symbol used :The most typical symbols used in circuit diagramming are electrical symbols. In your circuit, amplifiers (represented by triangle shapes) boost the output signal. Your system's capacitors (parallel lines) store energy, whereas resistors (zigzag lines) lower current flow.
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an ethernet cable is 3.90 m long and has a mass of 0.190 kg. a transverse pulse is produced by plucking one end of the taut cable. the pulse makes four trips down and back along the cable in 0.835 s. what is the tension in the cable?
One end of the taut cable is pulled, causing a transverse pulse to be created. In 0.835 seconds, the pulse travels four times down the cable and four times back then the tension in the ethernet cable is determined as 67 N.
It is given to us that -
Ethernet cable is 3.90 m long => l = 3.90 m
and has a mass of 0.190 kg => m = 0.190 kg
It is also given that the transverse pulse makes four trips down and back along the cable in 0.835 s.
=> time taken, t = 0.835 s
We have to find out the tension in the cable.
We know that
Speed = Distance/Time ----- (1)
Since the transverse pulse applied on the ethernet cable makes four trips down and back along the cable, the total distance travelled by the pulse = 4 * (2l)
Now, using equation (1) we can find out the speed of the pulse by -
\(v = \frac{4*2*3.90}{0.835} \\= > v = 37.36\) m/s ---- (2)
We also know that the mass density of the pulse can be determined by the formula -
μ = \(\frac{m}{l}\) ------ (3)
where,
m = mass of the cable
l = length of the cable
Substituting the given values of mass and length of the cable in equation (3), we can find out the mass density of the pulse as -
μ = \(\frac{m}{l} = \frac{0.190}{3.90} = 0.048\) kg/m ------ (4)
We also know that the tension in the cable can be represented by the formula -
T = μ\(v^{2}\) ----- (5)
Substituting the values of v and μ from equations (2) and (4) respectively, we can find out the tension in the cable as -
T = μ\(v^{2}\)
=> T = 0.048 * \((37.36)^{2}\)
=> T = 67 N
Thus, the tension in the ethernet cable is determined as 67 N.
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Given the production rules below, is the plus operator (+) left-associative, right-associative, or neither? You need to provide a sample sentence and a parse tree of it that supports your answer.
S → T + S | T
T → 1 | 2 | 3
Given the production rules below, is the plus operator (+) left-associative, right-associative, or neither a parse tree of it is in the explanation part below.
In the provided production rules, the addition operator (+) is left-associative.
Consider the statement "1 + 2 + 3" to show this.
This sentence's parse tree is as follows:
The addition operator's left-associativity is shown in this parse tree. The operands 1 and 2 are combined by the leftmost plus operator, and the resultant total is merged with the operand 3 by another plus operator. This depicts the assessment of the statement "1 + 2 + 3" from left to right.
If the plus operator were right-associative, the parse tree would be different, with the rightmost plus operator first combining operands 2 and 3, and then combining the resultant sum with operand 1.
Thus, the parse tree is attached below as image.
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Two charges q1 and q2 exert a 90 N electrostatic force onto each other when they are 1 m apart. They are moved further away to a distance of 3 m. What will the new electrostatic force be?
30 N
810 N
10 N
270 N
What is the gravitational force between two billiard balls of mass 156 g and 170 g that are 75 cm apart?
-2.36 x 10-12 N
2.36 x 10-12 N
3.15 x 10-12 N
-3.15 x 10-12 N
Based on Coulomb's law, which quantities does the acceleration of a charged particle due to the Coulomb force depend on?
The acceleration depends on the charge but not on the mass.
The acceleration does not depend on the charge nor on the mass.
The acceleration depends on the mass but not on the charge.
The acceleration depends on both the charge and the mass.
Two masses m1 and m2 exert a gravitational force of 20 N onto each other when they are 4 m apart.
At what distance should they be to exert a force of 5 N onto each other?
64 m
16 m
8 m
1 m
Answer:
If anyone is from connections someone shld make a quizlet w quick check answers
Explanation:
The force of gravity is an attractive force that acts between any two bodies on the earth.
Given that;
F = Kq1q2/r^2
F = 90 N
r = 1 m
q1= q2 = q1^2
q1 =√Fr^2/K
q1 = √90 × 1/9.0 × 10^9
q1 = 1 × 10^-4 C
Then;
F = 9.0 × 10^9 × (1 × 10^-4 )^2/3^2
F = 10 N
2) From;
F = Gm1m2/r^2
F = 6.6 × 10^-11 Nm^2Kg^-2 × 0.156 Kg × 0.170 Kg/(0.75 m)^2
F = 3.15 x 10-12 N
3) The acceleration of a particle due to the Coulomb force depends on both the charge and the mass.
4) F = Gm1m2/r^2
Where m1=m2 = m1^2
m1 =√F/r^2/G
m1 = √20 N ( 4 m)^2/6.6 × 10^-11 Nm^2Kg^-2
m1 = 2.2 × 10^6 Kg
To find r when F = 5N
r =√Gm1^2/F
r =√6.6 × 10^-11 Nm^2Kg^-2 × (2.2 × 10^6 Kg)^2/5N
r = 8 m
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Using the work-energy theorem, when driving 90 km/hr, how much more distance do you need to stop compared with driving 30 km/hr
When driving at 90 km/hr, you need approximately 4.5 times more distance to stop compared to driving at 30 km/hr.
The work-energy theorem states that the work done on an object is equal to the change in its kinetic energy. In the context of stopping a moving vehicle, this theorem can be applied to determine the additional distance required to stop when the initial velocity is increased.
1. The kinetic energy (KE) of an object is given by the formula: KE = ½ mv², where m is the mass of the object and v is its velocity.
2. Let's assume the mass of the vehicle remains constant. Therefore, the ratio of the kinetic energies at different velocities is equal to the ratio of the squares of the velocities: KE₁/KE₂ = (v₁/v₂)².
3. To compare the distances required to stop, we can equate the initial kinetic energy to the work done to stop the vehicle. Let's assume the work done is equal to the change in kinetic energy.
4. When driving at 30 km/hr, the initial velocity (v₂) is 30 km/hr and the initial kinetic energy (KE₂) is (½)mv₂².
5. When driving at 90 km/hr, the initial velocity (v₁) is 90 km/hr and the initial kinetic energy (KE₁) is (½)mv₁².
6. Using the ratio from step 2, we have KE₁/KE₂ = (v₁/v₂)² = (90/30)² = 9² = 81.
7. Therefore, the initial kinetic energy when driving at 90 km/hr is 81 times greater than when driving at 30 km/hr.
8. Since the work done to stop the vehicle is equal to the initial kinetic energy, the distance required to stop when driving at 90 km/hr is approximately 81 times greater than when driving at 30 km/hr.
In summary, when driving at 90 km/hr, you need approximately 4.5 times more distance to stop compared to driving at 30 km/hr (since 81 is approximately 4.5 times larger than 1).
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ejbsjca bdsj dbcsc j ecsabkfskbj jcbaskjbb
Sorry but I can't help you cuz the words you use makes no sens if you are going to ask a question pls do and dont joke around about it thank you very much and have a great day! ^^
Help with these please
Answer:
I'll just give short and simple explanation .
Explanation:
when the distance between the masses are doubled but the masses remain the same then,
the gravitational force between two masses decrease by four times when the distance between them is doubled.
hope this helped you
any confusion then comment it.
As you walk around the ASU Campus IN THE SHADE, the air is quite warm this time of year. Exactly what heats the air you feel next to Earth's surface? Indirect solar radiation Redirected solar radiatio
The air you feel next to Earth's surface in the shade is heated by two main factors: indirect solar radiation and redirected solar radiation.
Indirect solar radiation refers to the process by which sunlight is absorbed by the Earth's surface and then re-emitted as heat. When the sun's rays reach the Earth, some of the energy is absorbed by buildings, pavement, and other objects. As these objects heat up, they release the absorbed energy as heat, which warms the surrounding air. This is why the air feels warm when you walk around the ASU Campus in the shade.
Redirected solar radiation also plays a role in heating the air near the Earth's surface. This occurs when sunlight is scattered or reflected by the atmosphere, clouds, or nearby objects, and then reaches the shaded areas. The redirected solar radiation contributes to the overall heating of the air, making it feel warm.
In conclusion, the air you feel next to Earth's surface in the shade is heated by indirect solar radiation, as the absorbed energy from the sun is released as heat, and redirected solar radiation, as sunlight is scattered or reflected and contributes to the warming of the air.
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A 12-cm-diameter circular loop of wire is placed in a 0.74-T magnetic field.
Part A When the plane of the loop is perpendicular to the field lines, what is the magnetic flux through the loop? Express your answer to two significant figures and include the appropriate units.
Part B The plane of the loop is rotated until it makes a 38? angle with the field lines. What is the angle in the equation ?B = BAcos?for this situation? Express your answer using two significant figures.
Part C What is the magnetic flux through the loop at this angle? Express your answer to two significant figures and include the appropriate units.
The magnetic flux through the loop when the plane is perpendicular to the field lines can be calculated using the formula Φ = BA, where B is the magnetic field strength and A is the area of the loop.
The magnetic flux through a closed loop is defined as the product of the magnetic field strength and the area of the loop perpendicular to the magnetic field lines. When the plane of the loop is perpendicular to the field lines, the area of the loop is maximum and equal to πr^2, where r is the radius of the loop. Thus, the magnetic flux through the loop can be calculated using the formula Φ = BA, where B is the magnetic field strength and A is the area of the loop.
The angle between the plane of the loop and the magnetic field lines affects the amount of magnetic flux through the loop, as the area of the loop perpendicular to the field lines decreases.
When the plane of the loop is at an angle to the magnetic field lines, the area of the loop perpendicular to the field lines decreases. The amount of magnetic flux through the loop can still be calculated using the formula Φ = BAcosθ, where B is the magnetic field strength, A is the area of the loop, and θ is the angle between the magnetic field lines and the normal to the loop surface. The magnetic flux through the loop when the plane is perpendicular to the field lines is calculated using the formula Φ = BA, where B is the magnetic field, and A is the area of the loop.
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It takes a time t = 0.69 s for a record to revolve on a record player once. a particular point on the record moves past the needle at a speed of vn = 0.93 m/s.
The radius at which the needle is in contact moves with a velocity of 0.93 m/s and the time taken 0.69 seconds is 0.102 meters.
What is Speed?Speed is a unit used to describe how quickly an object is moving. The fact that speed is a scalar denotes that it is a measurement with a magnitude but no direction.
A thing that moves swiftly and quickly, moving a great distance in a short period of time. On the other hand, an object moving slowly and moving at a low speed travels a relatively short distance in the same amount of time. Nothing moves at all when an object has no speed.
Given:
The time, t = 0.69 seconds,
The speed, s = 0.93 m/s,
Calculate the distance covered by the needle,
d = \(s*t\)
Substitute the values,
d = 0.93 * 0.69
d = 0.6417 meters,
The total distance covered by the needle is equal to the circumference of the record, so,
d = 2\(\pi \\\)r
r = 0.6417/ 2*3.14
r = 0.102 meters
Therefore, the radius at which the needle is in contact moving with a velocity of 0.93 m/s and time taken 0.69 seconds is 0.102 meters.
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The complete Que is
It takes a time t = 0.69 s for a record to revolve on a record player once. A particular point on the record moves past the needle at a speed of vn = 0.93 m/s. What is the radius at which the needle is in contact with the record?
A speaker fixed to a moving platform moves toward a wall, emitting a steady sound with a frequency of 225Hz . A person on the platform right next to the speaker detects the sound waves reflected off the wall and those emitted by the speaker.How fast should the platform move, vp, for the person to detect a beat frequency of 1.00Hz ?
The speed of the platform so that the person detects a beat frequency of 1.00 Hz is 5.286m/s.
The speaker moving towards the wall is emitting the sound of frequency of 115Hz and the platform right next to the speaker is detecting the sound reflected by the wall and emitted by the speaker.
Now, to find the speed of the platform so that the person here the beta frequency pf 1.00Hz, we will use the relation,
F = (c+v/c-v)f
c = Speed of waves in the medium
u = Speed of the receiver relative to the medium
v = Speed of the source relative to the medium
f = emitted frequency
Our values are given,
Beat frequency = 7Hz
Reflective Doppler frequency = 225+7=232Hz
Putting values,
232 = (c+v/c-v)225
solving further,
v = 5.286 m/s.
So, the speed of the platform shoud be 5.286m/s.
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Convert the scientific notation to a decimal number \(4 \times {10}^{ - 5} cm\)
\(4 \times {10}^{ - 5} \\ = 4 \times 0.00001 \\ = 0.00004\)
This is ur answer.
List the three astronomical causes for the seasons
A student designed an experiment to test the hypothesis that even very cold objects like ice contain heat . The student obtained liquid air , at a temperature of 200 , stored in a thermally insulated Under the supervision of the teacher , the student immersed a block of ice at a temperature of 12 C in the liquid air The temperature of the ice was measured over time What is the expected result of the experiment and why ? A The ice will become colder because the extreme difference in temperature will cause the particles of ice to slow down and increase in temperature B The liquid air will boil because the extreme difference in temperature will cause heat to be transferred from the ice to the liquid air and the molecules of the liquid air will begin to leave the liquid The ice will become warmer because the extreme difference in temperature will cause the particles of ice to gain kinetic energy , speed up and increase in temperature D The liquid air will freeze because the extreme difference in temperature will cause heat to be transferred to the ice and the molecules of the liquid air will move
The expected result of the experiment is that the liquid air will boil because the extreme difference in temperature will cause heat to be transferred from the ice to the liquid air ( B ).
The temperature of the liquid air = - 200 °C
The temperature of the block of ice = - 12 °C
Since they are in a thermally insulated flask, the heat will be transferred until both the objects' temperature becomes equal. So the temperature of liquid air rises and the temperature of ice decreases. The boiling point of liquid air is - 194.35 °C. So the liquid air boils.
Option A would have been correct if the final statement was decrease in temperature and not increase in temperature. Option C is incorrect because the ice becomes colder. Option D is incorrect because liquid air will boil.
Therefore, the expected result of the experiment is that the liquid air will boil because the extreme difference in temperature will cause heat to be transferred from the ice to the liquid air and the molecules of the liquid air will begin to leave the liquid ( B ).
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Which of the following is part of a treatment program for laboratory animal allergies?
Dilantin
Mast cell stabilizer
Mast cell stabilizer is part of a treatment program for laboratory animal allergies.
What are animal allergies? Animal allergies occur when a person's immune system overreacts to an allergen in an animal's body. Pet allergies are more common, but anyone who works with or around laboratory animals may develop allergies to them. When a person is exposed to animal allergens, their immune system produces a response that causes allergic symptoms in the body.
The following are some of the treatment options for animal allergies:
Antihistamines: Antihistamines are used to alleviate allergic symptoms such as itching, sneezing, and runny nose. Antihistamines work by blocking histamine, a chemical produced by the body in response to an allergen.
Mast cell stabilizers: Mast cell stabilizers prevent the release of histamine and other chemicals that cause allergy symptoms. These drugs can take a few weeks to become fully effective.
Nasal corticosteroids: These nasal sprays relieve inflammation in the nasal passages, which can reduce the severity of allergy symptoms.
Allergy shots: Allergy shots, or immunotherapy, can be used to treat severe animal allergies. Immunotherapy works by exposing the patient to small amounts of the allergen over time, which can reduce the body's immune response to the allergen. Dilantin is an anticonvulsant medication that is used to treat seizures. It is not used in the treatment of animal allergies.
Therefore, Mast cell stabilizer is part of a treatment program for laboratory animal allergies.
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light goes from flint glass into ethanol. the angle of refraction in the ethanol is 27.2 ◦ , the index of refraction for flint glass is 1.61, and the index of refraction for ethanol is 1.36. what is the angle of incidence in the glass? answer in units of ◦ .
The angle of incidence in the glass is approximately 31.8°.
To find the angle of incidence in the glass, we can use Snell's law, which states that the ratio of the sines of the angles of incidence and refraction is equal to the ratio of the indices of refraction:
n1 * sin(angle of incidence) = n2 * sin(angle of refraction)
In this case, n1 is the index of refraction for flint glass (1.61), n2 is the index of refraction for ethanol (1.36), and the angle of refraction in ethanol is 27.2°.
Plugging in these values into Snell's law, we get:
1.61 * sin(angle of incidence) = 1.36 * sin(27.2°)
To find the angle of incidence, we can rearrange the equation:
sin(angle of incidence) = (1.36 * sin(27.2°)) / 1.61
Now, we can solve for the angle of incidence by taking the inverse sine (or arcsine) of both sides:
angle of incidence = arcsin((1.36 * sin(27.2°)) / 1.61)
Calculating this value, the angle of incidence in the glass is approximately 31.8°.
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plz help >:
If an object is 5 m from a plane mirror, how far away is the image from the object?
Answer:
10m
Explanation:
The object distance and image distance is the same from the mirror. so the image is 5m behind the mirror.
5+5=10
Meteorologists can distinguish a cold from a warm front because a cold front occurs when a cold air masses --- whereas a warm front exists where a -----
Meteorologists can distinguish a cold from a warm front because a cold front occurs when a cold air mass advances and replaces a warmer air mass, resulting in cooler temperatures and often stormy weather. On the other hand, a warm front exists where a warm air mass moves over and replaces a cooler air mass, resulting in a gradual increase in temperature and often steady rainfall.
A cold front occurs when a cold air mass advances into a region occupied by a warm air mass. As the cold air mass moves forward, it lifts the warm air mass, causing the warm air to cool and condense into clouds. This can result in the formation of thunderstorms and other types of precipitation, and often brings a rapid drop in temperature.
A warm front, on the other hand, exists where a warm air mass advances into an area occupied by a cooler air mass. As the warm air mass moves forward, it rises over the cooler air mass, causing the warm air to cool and condense into clouds. This can result in the formation of steady rain or drizzle, and often brings a gradual rise in temperature.
In summary, meteorologists can distinguish a cold front from a warm front based on the direction in which the air masses are moving and the temperature characteristics of each air mass.
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1) Cold fronts occur when a cold air mass moves into and replaces a warmer air mass.
This typically happens when a high-pressure system moves in, pushing cold air towards an area of low pressure.
2) As the cold air mass moves forward, it forces the warm air mass upwards, where it cools and condenses.
This creates clouds, which can lead to precipitation.
3) The boundary between the two air masses is called a front.
In a cold front, the front is the leading edge of the cold air mass.
4) The cold air behind the front is usually drier and colder than the air ahead of the front.
This can cause a sudden drop in temperature and a change in wind direction, which can result in severe weather conditions such as thunderstorms, strong winds, and even tornadoes.
5) Warm fronts, on the other hand, occur when a warm air mass moves into and replaces a colder air mass.
This typically happens when a low-pressure system moves in, drawing warm air from surrounding areas towards an area of lower pressure.
6) As the warm air mass moves forward, it rises over the colder air mass, where it cools and condenses.
This also creates clouds, which can lead to precipitation.
7) The boundary between the two air masses is again called a front, but in a warm front, the front is the leading edge of the warm air mass.
8) The warm air mass is usually more humid than the air ahead of the front.
This can cause a rise in temperature and a change in wind direction, which can result in milder weather conditions such as light rain, drizzle, or even fog.
By observing the characteristics of a front and the air masses behind it, meteorologists can make predictions about future weather patterns, which helps people prepare for potential weather hazards.
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It refers to the condition of the atmosphere in a place over a long period of time.
Answer:
Climate
Explanation:
conditions of the atmosphere at a particular location over a long period of time; it is the long-term summation of the atmospheric elements
PLEASE HELP!!Chemical reactions can be recognized by the presence of heat, light, or gas formation. The ultimate outcome for any chemical reaction is the
A. change from a solid to a liquid.
B. presence of sound.
C. formation of a new chemical substance.
Answer:
C
Explanation:
because it's new chemical substances
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;
\(P^{2}\) = \(\frac{4\pi ^{2} }{k^{2} (M_{1} + M_{2} }a^{3}\)
Where: P is the period in days, a is the semimajor axis in AU, \(M_{1}\) is the mass of the first star, \(M_{2}\) 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
\(\pi\) = \(\frac{22}{7}\)
The sum of the masses of the two star can be determined by;
\((M_{1} + M_{2})\) = \(\frac{4\pi ^{2} }{P^{2}k^{2} } a^{3}\)
= \(\frac{4*(\frac{22}{7}) ^{2} } {(3650)^{2} * (0.01720209895)^{2} } (6.67)^{3}\)
= \(\frac{11724.29601}{3942.2904}\)
= 2.9417 solar masses
Thus the combined mass of the two star is 2.9417 solar masses.
12. Which of the following is true of an electrolyte?
A. It is a component of a cell, but not a battery.
B. It is a component of a wet cell but not a dry cell.
C. It is a component of a dry cell but not a wet cell.
D. It is a component of both a wet cell and a dry cell.
Answer:
A
Explanation:
It’s a because a electrolyte reproduces
For a science fair project about food and chemistry, Bill looks around his kitchen for examples of covalent compounds. What evidence can Bill use in his project to show that water (H2O) acts like other covalent compounds? He can demonstrate that water is a liquid with a definite volume. He can demonstrate that water can be boiled on a simple kitchen stove. He can demonstrate that water can sometimes be used to conduct electricity. He can demonstrate that water can change shape and either be sprayed or poured.
Answer:
B) He can demonstrate that water can be boiled on a simple kitchen stove.
Explanation:
Took the test edge2020 :)
He can demonstrate that water can be boiled on a simple kitchen stove.
The following information should be considered;
The evidence that should be used in his project for representing the water is that the water should be boiled on the kitchen stove and that should be simple not fancy. Therefore, the other options should not be considered.Learn more: https://brainly.com/question/5566317?referrer=searchResults
A string is used to pull a wooden block across the floor without accelerating the block. The string makes an angle to the horizontal as shown below
Does the force applied via the string do work on the block?
Answer: Yes
Explanation: The block moves a distance d under the influence of the force, so work is done by the force. Note that since the object is not accelerating, there is another force present, most likely friction.
b.
kepler's third law, p2 = a3, means that
Kepler's third law, p^2 = a^3, means that the square of the total time period of a planet's revolution the sun is directly proportional to the cube of its mean distance from the Sun.
Kepler's third law is also known as the law of periods. It states that the shorter the orbit of the planet around the sun, the shorter will be its time period. These equation have helped to calculate the total time period of the planets of the Solar system.
Using Newton's law of gravitation, we can simplify the above equation as:
P^2 = 4π^2 /[G(M1+ M2)] × a^3
Here M1 and M2 are the masses of the revolving objects.
If you need to learn more about Kepler's third law, click here
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