The speed of the rock just before it reaches the water is 10.9 m/s.
Describe acceleration.In mechanics, acceleration is the rate at which the velocity of an object changes in relation to time. Acceleration is a vector quantity (in that they have magnitude and direction). The direction of an object's acceleration is determined by the direction of the net force acting on it. According to Newton's Second Law, the object's mass, which changes based on the materials it is built of, and the net balance of all external forces acting on it both contribute to an object's acceleration. The mass of an item has an inverse relationship with the magnitude of its acceleration.
The change in velocity of an object divided by the length of the interval gives its average acceleration over that time.
Proper acceleration, or the acceleration of a body relative to a free-fall scenario, is measured using a device called an accelerometer.
We can start by using the formula for vertical motion under constant acceleration:
h = ut + 0.5 × at²
where h is the vertical height, u is the initial velocity (zero in this case), t is the time, and a is the acceleration (9.8 m/ for gravity).
We can use this formula to find the time it takes for the rock to fall from the height of the bridge to the water:
h = ut + 0.5 × at²
0 = 0 × t + 0.5 × (-9.8) × t²
25 = -4.9 × t²
t² = 25 / -4.9
t = √(25 / -4.9)
t = √(5.1)
t = 2.28 s
Now that we know the time it takes for the rock to fall, we can use the formula for average velocity:
v = d / t
where d is the vertical distance and t is the time.
The distance is 25 m and the time is 2.28 s, so:
v = d / t
v = 25 / 2.28
v = 10.9 m/s
So the speed of the rock just before it reaches the water is 10.9 m/s.
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what is the difference between a conductor and an insulator in terms of electrons?
Conductors and insulators are materials classified based on their ability to conduct electricity. In a conductor, electrons are free to move and flow easily. In an insulator, electrons are tightly bound and do not move freely.
Does insulator restrict electrons flow?Yes, insulators restrict the flow of electrons. In insulators, electrons are tightly bound to their atoms and do not move freely, making it difficult for an electric current to flow through the material.
What is the significance of conductors?Conductors play a significant role in many areas of technology and science. They are materials that allow electrons to move freely. Because of this property, conductors are used extensively in electrical and electronic systems to transfer or control electric currents.
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a motor operates an endless conveyor belt. the motor produces a force of 500.0 n on the belt and it moves at the rate of 6.5 m/s. what is the power of the motor in kilowatts?
The power of the motor in kilowatts is 3.25 kW.
What does the kW of a motor mean?The maximum output of an electric motor is referred to as "power" and is a fairly straightforward concept. This is rated in kilowatts (or 1000 watts), like a standard internal combustion engine (ICE). You'll get more power at the cost of higher energy use if you have more kW.
Since work is defined as force times displacement ([tex]W=F\times d[/tex]) and velocity is defined as force times displacement over time (v=d/t), power is equal to force times velocity.
Multiply the motor voltage by the full-load current. Watts stand in for the result. Watts are converted to kilowatts by multiplying by 1000. For instance, 4,600 watts is equal to 230 volts times 20 amps.
Given,
Motor produce force = 500.0N
moves at the rate = 6.5 m/s
Power = Force × Velocity
Power = 500 × 6.5
Power = 3250 watts
= 3.25 kW
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if both masses are tripled, what happens to the force?
If the mass of each object is increased by the a factor of three, the force will be multiplied by a factor of nine (3*3) if indeed the distance between both the objects is doubled and the mass of each object is tripled.
Describe a force example.A force is a force that possesses the power to accelerate something. This can literally mean pushing anything to move it across the room, like a big piece of furniture. It might be more metaphorical, like depressing the gas pedal on a car.
Where do forces come from?The interactions of two (or more) things result in forces. Each applies an equal but opposing power to the other. The object is propelled by external forces. The object's general motion is unaffected by an interior force.
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quizket a copper wire that is 3.14 m long with a diameter of 2 cm has an electrical resistance of 10 ohms. if this wire is cut exactly in half (equal lengths), what is the electrical resistance of each wire piece?
After cutting the wire in half, the new length of each wire piece is 1.57 m. Each wired piece has an electrical resistance of 10 ohms.
The electrical resistance of a wire depends on its length and cross-sectional area. When a wire is cut in half, its length is halved while its cross-sectional area remains the same.
Using the formula for resistance:
R = ρ * L / A
=3.14 m / 2
= 1.57 m.
The cross-sectional area of each wire piece can be calculated as:
A = π * (diameter / 2)^2
A = π * (2 cm / 2)^2
A = π * (1 cm)^2
A = π cm^2
Plugging in the new values for length and area, we get:
R = ρ * 1.57 m / π cm^2
R = 10 ohms
Resistance is a term used in physics to describe the opposition of a material to the flow of an electric current. It is a fundamental concept in electrical engineering and is used to describe the behavior of electrical circuits and devices.
Resistance is typically measured in units of ohms (Ω) and is determined by the properties of the material, such as its composition and temperature, as well as its physical dimensions, such as its length and cross-sectional area.
In an electric circuit, resistance limits the flow of electric current, causing a drop in voltage and dissipating energy as heat. The amount of resistance in a circuit affects the amount of current that can flow through it, which in turn affects the operation of electrical devices. Resistance is an important factor in the design and operation of electrical systems, as it affects the efficiency and performance of devices, such as motors, transformers, and power supplies. It is also a key factor in the safety of electrical systems, as it helps to prevent dangerous overloading and short circuits.
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if the bus needed to stop quickly, the driver could slam on the brakes. if the braking force was 24,000 n, how much distance would the bus need to stop? (recall that the bus has 576,000 j of ke before the brakes are applied.)
The required distance needed to stop the bus when kinetic energy of the bus is given is calculated to be 24 m.
The work done by the bus is nothing but the kinetic energy of the bus.
So, W = 576000 J
The force needed by the bus to stop quickly is F = 24000 N
You can write the work done as,
W = F s
where,
F is force
s is distance
Putting the values into the above equation, we have,
W = F s
576000 = 24000 × s
Distance s = 24 m
Thus, the distance needed by the bus to move and come to a stop is 24 m.
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by shaking one end of a stretched string, a single pulse is generated. the traveling pulse involves a transport of
By shaking one end of a stretched string, a single pulse is generated. the traveling pulse involves a transport of energy and momentum.
The definition of energy is "capacity to do work, which is ability to apply force causing displacement of an object." Energy is just the force that moves objects, despite this definition's seeming complexity.
Potential and kinetic energy are the two different categories. The best approach to understand them is to think of potential energy as occurring before an action and kinetic energy as occurring during an action. Consider raising your physics textbook in the air. Simply due of its elevated elevation, it could fall. If you drop the textbook, the potential energy is transformed into kinetic energy, which is the energy that drives the movement.
momentum is the product of the mass and velocity of an object. It is a vector quantity, possessing a magnitude and a direction.
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a planar surface of area a with a unit normal vector sits in an uniform electric field . the electric flux through the surface is:
The highest flux would be reached if the planar surface was perpendicular to the electric field vector.
What is electric flux through planar surface?The electric flux through a planar area is defined as the electric field multiplied by the area component perpendicular to the field. If the area is not planar, the flux must be evaluated using an area integral because the angle is constantly changing.
The electric flux (E) travelling through a surface of vector area S is: E = ES = EScos, where E is the magnitude of the electric field (in units of V/m), S is the area of the surface, and is the angle between the electric field lines and the normal (perpendicular) to S.
To know more about The electric flux (E) travelling through a surface of vector area S is: E = ES = EScos, where E is the magnitude of the electric field (in units of V/m), S is the area of the surface, and is the angle between the electric field lines and the normal (perpendicular) to S.
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if you were to sketch a displacement-time graph and a speed-time graph for an object experiencing constant acceleration, what would they look like?
The displacement-time graph for an object experiencing constant acceleration would be a parabolic shape, with the displacement increasing at an increasing rate over time. The speed-time graph for an object experiencing constant acceleration would be a linear graph, with the speed increasing linearly with time.
The displacement-time graph would not be linear although the speed-time graph would.
When a velocity-time graph of a motion with a changing, positive velocity is plotted, it produces a sloped line. Positive acceleration is shown in the line's positive slope. Additionally, only positive values for velocity are presented, signifying a motion with a positive velocity.
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What is accurate about seismic waves moving through the Earth?S-waves (also called shear-waves) move through neither solids nor liquids.S-waves (also called shear-waves) move through solids and all liquids except Diet Pepsi.Correct!S-waves (also called shear-waves) move through solids but not liquids.S-waves (also called shear-waves) move through liquids but not solids.S-waves (also called shear-waves) move through both solids and liquids.
S-waves, also known as shear waves, flow through liquids but not solids, which is correct information regarding seismic waves travelling through the earth.
What are seismic waves?Seismic waves are created when materials unexpectedly move inside the Earth, such as when they slide down a fault when in an earthquake.. Seismic waves can also be produced by volcanic eruptions, explosions, landslide, avalanches, or even swiftly flowing rivers. An acoustic wave that passes through the Planet or the other planetary body is called a seismic wave. Large landslides, volcanic eruptions, magma movement, earthquakes, and man-made explosions that release a lot of low-frequency acoustic energy can all cause it.
What causes seismic?Sudden movement along Earth's fault lines causes earthquakes. The motion releases "elastic strain" energy that has been accumulated inside the form of seismic waves, that travel through the Earth & cause the earth to tremble. Seismic wave research is crucial for understanding and forecasting earthquakes and tsunamis, but it also provides details on the structure and properties of the Earth, much like it did for the discovery the Mohorovicic's discontinuity.
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if a car is moving to the left with constant velocity, one can conclude that
I took a picture of how they want the question answered
The amount of work done by the applied force is 500 J.
How much work is done by the applied force?The amount of work done by the applied force is equal to the product of the applied force and the displacement of the object.
Mathematically, the formula for work done by an applied force is given as;
W = F d
where;
F is the applied forced is the displacement of the objectThe amount of work done by the applied force is calculated as;
W = 50 N x 10 m
W = 500 J
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wo positive point charges and 4 are at and , respectively, and free to move. a third charge is placed so that the entire three-charge system is in static equilibrium. what are the magnitude, sign, and -coordinate of the third charge?
By finding q3 in the equation F = k * q / L2, where k is Coulomb's constant and L is the separation between the first two charges, one may determine the magnitude of the third charge.
The net electric force acting on each of the three charges must be zero for the system to be in static equilibrium. As a result, the force acting on the third charge must be of a magnitude equal to and directed in the opposite direction from the force acting on the first two charges. Coulomb's law, F = k * q1 * q2 / r2, determines the magnitude of the force between two point charges. Since k is Coulomb's constant and L represents the separation between the first two charges, it is possible to determine the magnitude of the third charge by finding q3 in the equation F = k * q / L2.
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Two point charges q and 4q are at x=0 and x=L, respectively, and free to move. A third charge is placed so that the entire three-charge system is in static equilibrium. Part A What is the magnitude of the third charge?
A snail travels 24.5 cm/hr. The snail accelerates itself to 28.2 cm/hr in 23.4 min. What is the acceleration of the snail? Convert minutes to hours by dividing 23.4 min by 60 before solving the problem.
The acceleration of the snail is 9.49 cm/hr².
What is acceleration?Acceleration is a vector quantity considered as the rate at which an object's velocity varies. If an object's velocity changes, it is accelerating.
To find the acceleration of the snail, we need to find the change in velocity (Δv) and divide it by the time it took for that change to occur (Δt).
First, convert the time from minutes to hours:
23.4 min ÷ 60 min/hr = 0.39 hr
Now, the change in velocity:
Δv = 28.2 cm/hr - 24.5 cm/hr = 3.7 cm/hr
Finally, we'll divide the change in velocity by the time it took to get the acceleration:
a = Δv / Δt = 3.7 cm/hr / 0.39 hr = 9.49 cm/hr²
So, the acceleration of the snail is 9.49 cm/hr².
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a spring does 800 j of work on a marble to launch it across a horizontal floor. it applies 200 n of force. how far does the marble travel?
Use the formula work = force x distance to calculate the marble's travel distance. Distance in rearranging equals work / force. Distance = 800 J / 200 N = 4 m after plugging in the values.
What pressure does the spring exert on the marble?
The spring exerts a 200 Newton force on the marble. This is a gauge of the force being exerted on the marble and is based on how much work the spring is putting in.
The spring is exerting 800 Joules of energy in this instance to propel the marble across a horizontal floor. The forcethe spring applies is directly proportional to the amount of work it is doing, so as the amount of work increases, the force
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please help me! Fill in all the blanks using the highlighted words. All 23 please. Thank you!!
Blood travels throughout the body as follows:
oxygen inhale red blood cellsblood vena cavaright atriumright ventriclelungs pulmonary deoxygenated lungs Gas exchangecapillaries oxygenated pulmonaryleft oxygenated heart left atrium ventricle aortaupper lowerHow does circulation work?Circulation is the continuous movement of blood throughout the body by the circulatory system. It consists of the heart, blood vessels (arteries, veins, and capillaries), and blood. The heart acts as a pump, sending oxygen-rich blood through the arteries to the body's cells, and then returning oxygen-depleted blood through the veins back to the heart.
The exchange of oxygen, nutrients, and waste products between the blood and cells occurs through the capillaries. This continuous flow of blood helps to maintain the body's functions and overall health.
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which of the three kicks in the figure is in the air for the longest time ? they all reach the same maximum height
The vertical motion of balls determines time of flight. Since everyone reaches the same altitude, their time in the air will be equal. Everyone will fly at the same moment.
By focusing just on the ball's vertical motion and ignoring air resistance, the length of time it takes to reach the highest point may be calculated. The formula y(t) = h + v0t - (1/2)gt2 may be used to calculate the vertical motion of a projectile, where h is the greatest height, v0 is the beginning velocity, t is the duration, and g is the acceleration caused by gravity. Set y(t) = h and solve for t to determine the time needed to achieve the maximum height. The time it takes the ball to reach its highest point when air resistance is neglected is given by this equation: t = sqrt(2h/g).
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which of the three kicks in the figure is in the air for the longest time? they all reach the same maximum height h. ignore air resistance.
what is the correct ac power priority for ac bus 2? assume all power sources are available to the electrical system.
The correct AC power priority for AC bus 2 is: Utility power, Emergency power, Standby power, Uninterruptible Power Supply (UPS) and Generator power.
The AC power is not paralleled. An existing source of AC power is immediately disconnected in favour of the source that is currently connected to a generator bus. No source of AC power automatically enters the system (when it reaches proper voltage & frequently). It needs to be manually turned on. NB The "automatic generator on-line" feature on the NG has loosened this rule. If the APU fails or is turned off after takeoff while still powering the buses, this will automatically connect the engine generators.
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Can you think of a scenario when the kinetic and gravitational potential energy could both be zero?
Answer:
An object not in motion (stationary) and at the 0 point.
Explanation:
If we define earth's surface to be the 0 point, and an object is stationary, it's kinetic energy is zero (no motion) as well as the gravitational potential energy.
Calculate the power required of a 1400kg car under the following circumstances a) The car climbs a 10° hill at a steady 80km/h and b) The car accelerates from 90 to 110km/h in 6.0s to pass another car on a level road. Assume the force of friction on the car is 700N in both parts of the problem.
(a) The power required for the car to climb the hill at a steady speed is 15.56 kW.
(b) The power required for the car to climb the hill at a changing speed is 19.44 kW.
What is the power required for the car to climb the hill?The power required for the car the move the incline is calculated as follows;
When the speed is steady, the average speed is calculated as;
v = ( 80km/h + 80 km/h) / 2 = 80 km/h = 22.22 m/s
P = Fv
where;
F is the applied forcev is average speedP = ( 700 N x 22.22 m/s )
P = 15,555.56 W = 15.56 kW
When the speed changes from 90 km/h to 110 km/h, the average speed is calculated as;
v = ( 90 km/h + 110 km/h ) / 2 = 100 km/h = 27.78 m/s
P = ( 700 N x 27,78 m/s )
P = 19,444.44 W = 19.44 kW
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Which property does the Saffir-Simpson scale use to categorize hurricanes?(1 point) Responses storm diameter storm diameter storm surge storm surge wind speed wind speed water temperature water temperature
Answer: Might be a little late but the answer is wind speed
Explanation: Just took the quiz
The Saffir-Simpson scale categorizes hurricanes based on their maximum sustained wind speed.
What is Wind Speed property?
Wind speed is a measure of the speed of the movement of air, typically in kilometres per hour (kph) or miles per hour (mph). Wind speed is an important property of the atmosphere, as it influences the weather, climate, and the degree of turbulence experienced by aircraft. It is also an important property for the design of wind turbines and other wind energy systems. Wind speed is measured using an anemometer, which is a device that measures the force of the wind. Wind speed is used to determine the power output of wind turbines, to predict the weather, and to assess the risk of turbulence for aircraft.
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in the experiment you used objects with masses that were not necessarily known. assume that it is determined that the mass of an object that produces a deformation of size 3, is 120 grams. what is the mass of an object that would produce 1 unit of deformation? group of answer choices 20 grams. 25 grams. 30 grams. 35 grams. 40 grams. 45 grams. 50 grams. 60 grams.
In the experiment, you employed objects whose masses weren't necessary known, and it took 40 grams of an object's mass to cause 1 unit of deformation.
What is the source of the gravitational force that is seen in falling objects?Therefore, there must be another item that is, in a way, creating the gravity force in order for it to act on something like a falling object. What is the source of the gravitational force that is seen in falling objects? the entire planet earth.
What are some instances of experiment uncertainty?Most experiments include measuring some quantities, then determining other quantities using the measured data. A room's length and width, for instance, could be measured in order to determine region by a multiple. Every measured quantity has a "measurement uncertainty" attached to it.
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3. The city of Oslo, Norway, has an average daytime temperature of -3.7°C in January. The city of Bergen, Norway, has an average daytime temperature of 1.5°C. Both cities are at about the same latitude. One city is on the Norwegian coast; the other is inland. A mountain is between them. Which city do you think is on the coast? Why? What effect do you think the mountain has on the temperature of the inland city
The city of Bergen, Norway ( hotter among them) is on the coast because warm wind from sea helps to remain warmer whereas the cold air from the mountain makes the temperature of the other city lower.
What is temperature?Temperature is a temperature of hotness or coolness that can be described in terms of a variety of arbitrary scales. It also indicates the direction in which heat energy would spontaneously flow, i.e., from a hotter (body) to a colder (body) body (one at a lower temperature).
Temperature is not the same as the energy of a thermodynamic system; for instance, an iceberg has a significantly larger total heat energy than a match.
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A figure skater begins spinning counterclockwise at an angular speed of 4.1 π rad/s. During a 4.5 s interval, she slowly pulls her arms
inward and finally spins at 7.1 π rad/s.
What is her average angular acceleration
during this time interval?
Answer in units of rad/s^2.
The average angular acceleration of the skater is 2.1 rad/s².
What is the average angular acceleration of the skater?
The average angular acceleration of the skater is calculated by applying the following formula.
a = Δω / Δt
where;
Δω is change in angular speedΔt is change in time of motiona = ( ω₂- ω₁ ) / ( t₂ - t₁ )
where;
ω₁ is the initial angular speedω₂ is the final angular speedt₁ is initial timet₂ is final timea = ( 7.1π - 4.1π ) / ( 4.5 )
a = 2.1 rad/s²
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what percentage of the takeoff velocity did the plane gain when it reached the midpoint of the runway?
g a copper wire that is 3.14 m long with a diameter of 2 cm has an electrical resistance of 10 ohms. if this wire is cut exactly in half (equal length), what is the electrical resistance of each wire piece?
The resistance of the copper wire when the length of the wire is halved is 5 ohms
The length of the copper wire = 3.14 m
The diameter of the wire = 2 x 10⁻² m
The resistance of the wire = 10 ohms
The electrical resistance of the wire if the length of the wire is cut in half is
R = ρ L / A
where R is the resistance of the copper wire
ρ is the resistivity
L is the length of the copper wire
A is the area of the copper wire
We can see that the resistance is directly proportional to the length of the copper wire in the above equation.
Thus, if the length of the wire is cut in half, then the resistance of the wire will also be reduced by half the value.
Resistance = 10 ohms / 2
= 5 ohms
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a thin glass rod is submerged in oil. what is the critical angle for light traveling inside the rod?
A thin glass rod submerged in oil. Then the sensitive angle of light propagating inside the rod with a glass refractive index of 1.50 and oil refractive index of 1.46 is 72°.
The critical angle is the angle of incident light from the denser medium to the less dense medium whose angle of refraction is parallel to the boundary between the two media. When the angle of incidence is greater than the critical angle, the light will be reflected completely back into the water. This event is called a perfect reflection.
To find the size of this critical angle, you can use the following Snell's Law:
Φk = sin⁻¹ (n₂ n₁)
Where:
Φk = critical angle (degrees)
n₁ = refractive index of the denser medium
n₂ = refractive index of the less dense medium
In matter
n₁ = 1.50
n₂ = 1.46
So,
Φk = sin⁻¹ (n₂/ n₁)
Φk = sin⁻¹ (1.46/1.50)
Φk = sin⁻¹ (0.923)
Φk = 72°
Your question is incomplete but most probably your full question was:
A thin glass rod is submerged in oil. What is the critical angle for light traveling inside the rod? The index of refraction for glass is 1.50 The index of refraction for oil is 1.46.
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which person is weightless? which person is weightless? a child in the air as she plays on a trampoline. a scuba diver exploring a deep-sea wreck. an astronaut on the moon.
The weightlessness of a toddler playing on a trampoline in the air.
During the activities depicted, who is weightless?Since only the diver is falling freely, she is the only one who is weightless (aka the only person fully in the air.)
What exactly is kinetic energy, and what are two examples?Pick the appropriate kinetic energy definition and two illustrations. An object's kinetic energy is the energy it has as a result of its location. Examples include the motion of the liquid molecules in a cup of hot coffee or an automobile that is resting on a hill. An object's kinetic energy is the energy it has as a result of motion.
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we have two waves of light, a and b. wave a has a higher frequency than wave b. then wave b must have: a. longer wavelength b. higher speed c. shorter wavelength d. lower speed
In the two waves, wave a has higher frequency than that of wave b. Therefore, wave a will have longer wavelength in comparison to wave b. Thus, the correct option is A.
What are wavelength and frequency?A wave is a kind of disturbance in a medium which carries the energy without a net movement of particles. Waves may take the form of elastic deformation, a kind of variation of pressure, electric or the magnetic intensity, electric potential, or the temperature.
Wave has different properties such as wavelength, wave number, frequency, and time period. The wavelength is the distance between the two wave crests or two troughs. The units used for the measurement of wavelength are meters (m), millimeters (mm), nanometers (nm). The frequency is the number of vibrations which passes over a given spot in the time period of one second, and it is measured in cycles per second Hertz (Hz).
Therefore, the correct option is A.
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an automobile travels on a straight road for 18km at 31 km/h. it then continues in the same direction for another 18km at 62 km/h. what is the average velocity of the car during this 36 km trip?
The average velocity of the car during this 36 km trip was 41.1 km/h.
The average velocity of an object over a certain distance is given by the total distance traveled divided by the total time taken to travel that distance.
In this case, the first part of the trip took 18 km / 31 km/h = 0.581 hours. The second part of the trip took 18 km / 62 km/h = 0.290 hours. The total time taken for the entire trip was 0.581 + 0.290 = 0.871 hours.
The total distance traveled was 18 km + 18 km = 36 km.
Therefore, the average velocity of the car during this 36 km trip was 36 km / 0.871 hours = 41.1 km/h.
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rank the following aqueous solutions from lowest predicted boiling point to highest. in the case of solutions containing aqueous ions, assume there is no ion clustering in the solution.Ist attempt See Periodic Table See Hint Question List (5 items) (Drag and drop into the appropriate area) Correct Answer List highest 167 mCH_OH 0.530 mNazSO4 No more items 0.475 mKaPO4 0.907 mKBr 0.722 mNHANOj
The highest overall concentration will result in the highest boiling point so the boiling points are: NH3NO4 < Na2SO4 < CH3OH < KBr < K3Po4
The solution with the highest overall concentration will have the lowest projected boiling point. So, 1.67M methanol is the first solution. Due to the fact that this does not divide into ions, its overall morality is also 1.67M. If the second solution is an aqueous one, then the concentration of sodium sulphate in it is 0.530M. Three sodium and sulphate ions will result from this separation. Therefore, the final molarity will be 1.59M (0.53 x 3). Three potassium and one phosphate ion are produced when 0.475M potassium phosphate is separated into solution number three. So, 1.90M = 0.475*4. KBr that's 0.907M, One potassium and one bromide species will emerge from this. The total molarity is 1.814M (0.907 x 2). We have an ammonium nitrate solution that, in accordance with the criteria for aqueous eligibility, entirely separates into two ions one ammonium and one nitrate. 0.722 x 2 = 1.444M is the total molarity.
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