The area of the spill increasing when the circumference of the circle is 100π meters at a rate of 2000 sq. m/sec.
What is circumference ?In geometry, the perimeter of a circle or ellipse is its circumference. In other words, the circumference would equal the length of the arc if the circle were expanded up and straightened out to a line segment.
The term "perimeter" is most frequently used to describe the radius of any closed shape. The exact location of the circle, which corresponds to the edge of a disc, is also referred to as its circumference.
Given parameters:
circumference changing at a rate = 2π dr = 40m/sec.
the circumference of the circle is = 2πr = 100π meters
Hence, the rate of area of the spill increasing = 2πrdr
= 100π meters × 40m/sec/2π
= 2000 sq. m/sec.
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a circuit contains an ac generator and a resistor. what haplens to the average power dissipated in the resistor when the frequency is doubled and the rms voltage is tripled?
The average power increases by a factor of 3^2 = 9 since is proportional to the square of the rms voltage.
What is rms voltage?
In the AC waveform tutorial, we briefly looked at the RMS voltage value of a sine wave and said that this RMS value would give the same heating effect as the equivalent DC power. We detail them in terms of RMS voltage and current.
The term 'RMS' stands for 'Root Mean Square'. Most books define this as "the amount of AC power that produces the same heating effect as equivalent DC power" or something along those lines, but the RMS value is much more than that. Mean value of the quadratic function of instantaneous values. The symbols used to define RMS values are VRMS or IRMS.
Therefore, the average power increases by a factor of 3^2 = 9 since is proportional to the square of the rms voltage.
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a 1.50 v potential difference is maintained across a 1.50 m wire that has a cross-sectional area of 0.600 mm2. how much power is dissipated in the wire if its resistivity is 5.25x10-8ωm?
17.1 W is the power dissipated in the wire.
What is Power?Power is the amount of work completed in a given amount of time, or time spent working. The joules per second (J/s)-based SI unit of power is the Watt (W).
In light of the fact that the potential difference is V = 1.5 V.
The wire is l = 1.5 meters long.
The area of the cross-section is A = 0.6m.
The wire has a 5.25 resistance.
R=ρ l/A
=5.25×10^(-8)×1.5/(0.6×10^(-6) )
=0.13125Ω
The formula to calculate power is
P=V^2/R
Substituting the values, the power will be
P = ((1.5)^2)/0.13125
P = 17.1 W
Thus, the power dissipated in the wire is 17.1 W
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a meterstick of uniform density is hung from a string tied at the 11-cm mark. a 0.40-kg object is hung from the zero end of the meterstick, and the meterstick is balanced horizontally. what is the mass of the meterstick?
The meterstick has a mass of 0.40 kg and is suspended from a string that is knotted at the 11-cm point. A 0.40-kg object is suspended from the meterstick's zero end due to its uniform density.
Mass is a physical body's total amount of matter. It also serves as a gauge for the body's inertia, or resistance to acceleration (change in velocity) in the presence of a net force. The strength of an object's gravitational pull to other bodies is also influenced by its mass. The substance's mass per unit of volume is known as its density (volumetric mass density or specific mass). Although the Latin letter D may also be used, the sign most frequently used for density is (the lower case Greek letter rho). Mass is the mathematical definition of density.
M2 = 0.40 Kg
d = 11cm
m1*g*r1 = m2*g*r1
m1*9.8 = 0.40*9.8
m1 = 0.40 kg
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A 1,168-kg car comes to a stop without skidding. The car's brakes do -23,180 J of work
to stop the car.
Which of the following was the car's velocity when the brakes were initially applied?
The initial velocity of the car when the brake was initially applied is 6.3 m/s.
option D is the correct answer.
What is the velocity of the car when the brake was initially applied?
The velocity of the car when the brake was initially applied is calculated as follows;
Mathematically, kinetic energy formula is given
K.E = ¹/₂mv²
where;
m is the mass of the speedv is the speed of the car when the brake was initially appliedmv² = 2 K.E
v² = ( 2 K.E ) / ( m)
v = √ [ ( 2 K.E ) / ( m) ]
Substitute the given parameters and solve of the initial velocity of the car when the brake was applied.
v = √ [ ( 2 x 23,180 ) / ( 1168) ]
v = 6.3 m/s
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The complete question is below:
A 1,168-kg car comes to a stop without skidding. The car's brakes do -23,180 J of work
to stop the car.
Which of the following was the car's velocity when the brakes were initially applied?
A. 3.2 m/s
B. 1.7 m/s
C. 5.1 m/s
D. 6.3 m/s
a bat flying in a cave emits a sound and receives its echo 0.1 s later. how far is from the cave wall? (in m)
The distance from the wall is 17 m when a bat flying in a cave emits a sound and receives its echo 0.1 s later.
Given sound wave velocity (s) = 340m/s
Time taken for the sound wave (echo) to travel towards the wall and reflect off the bat = 0.1 s
So the time taken by the sound wave to travel to the wall only (t) = 0.1s/2 = 0.05s
Distance from wall to bat (d) = speed of sound wave(s) * time(t)
The distance between the wall and the bat is = 340 m/s * 0.05 s = 17 m
Thus, the distance from the wall when a bat emits a sound and receives its echo 0.1 s later in a cave is 17 m.
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which statement does not describe fission? a very heavy nucleus splits into several medium-weight nuclei. stable, lightweight nuclei start the process. several neutrons are emitted. a fast neutron starts the process.
The statement that does not describe fission is: Stable, lightweight nuclei start the process.
What is Fission?
A bigger atom undergoes fission when a neutron collides with it, causing it to excite and split into two smaller atoms, also referred to as fission products. This process is also known as Nuclear Fission. Additionally, additional neutrons are emitted, and these can start a chain reaction. Each atom splits, releasing a huge quantity of energy.
Hence, The statement that does not describe fission is: Stable, lightweight nuclei start the process.
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The statement that does not describe fission is: Stable, lightweight nuclei start the process.
What is Fission?
A bigger atom undergoes fission when a neutron collides with it, causing it to excite and split into two smaller atoms, also referred to as fission products. This process is also known as Nuclear Fission. Additionally, additional neutrons are emitted, and these can start a chain reaction. Each atom splits, releasing a huge quantity of energy.
Hence, The statement that does not describe fission is: Stable, lightweight nuclei start the process.
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a high-fidelity sound system may have a frequency range that extends up to or beyond 20,000 hz. what is the purpose of this extended range?
This increased range's objective is to make it easier for the sound to create detectable high frequency noises.
Describe a sound wave:A sound wave is a series of disruptions that are caused by energy that is being transmitted away from the source of the sound. The path of the acoustic waves is parallel of the particle vibration. So, longitudinal waves is what they are called. Atoms move back and forward between instantaneously as they vibrate.
What does sound wave propagation entail?Transverse waves, such as sound waves, spread diagonally to the transmission medium. Sound waves move in a straight line parallel to the transmission medium since they are longitudinal waves. Depending on the temperature, sound waves can move in either a longitudinal or transverse direction. This increased range's objective is to make it easier for the sound to create detectable high frequency noises.
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This increased range's objective is to make it easier for the sound to create detectable high frequency noises.
Describe a sound wave:A sound wave is a series of disruptions that are caused by energy that is being transmitted away from the source of the sound. The path of the acoustic waves is parallel of the particle vibration. So, longitudinal waves is what they are called. Atoms move back and forward between instantaneously as they vibrate.
What does sound wave propagation entail?Transverse waves, such as sound waves, spread diagonally to the transmission medium. Sound waves move in a straight line parallel to the transmission medium since they are longitudinal waves. Depending on the temperature, sound waves can move in either a longitudinal or transverse direction. This increased range's objective is to make it easier for the sound to create detectable high frequency noises.
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An airplane flying horizontally with a speed of 500 km/h at a height of 850 m fires a projectile horizontally in its direction of motion at a speed of 290 m/s relative to the plane. (Calculate the following answers relative to the ground.) (a) How far in front of the release point does the projectile hit the ground (in m)? (b) What is its speed when it hits the ground (in m/s)?
The projectile hit the ground 3,992.97 m in front of the release point. The projectile speed when it hits the ground is 438.5 m/s
When a level-flying aircraft fires a projectile horizontally in the direction of travel, it means:
v₁ = speed of the plane = 500 km/h
v₁ =500 x 1000 km = 138.89 m/s
3600s
v₂ = velocity of bullet with respect to plane = 290 m/s
v = projectile velocity relative to the ground
v = v₁ + v₂ = 428.89 m/s
The projectile moves horizontally, but has projectile motion that moves horizontally and vertically along a parabola curve.
In the vertical direction, the projectile moves with un uniform motion.
uy = initial vertical velocity = 0 m/s
h = height = 850m
g = gravitational acceleration = 9.8 m/s²
2h = 1/2 gt²
2 × 850 = 9.8 × t²
t = √1,7009.8
t = 9.31 seconds
The projectile moves horizontally with constant velocity.
distance
d = vt
d = 428.89 × 9.31
d = 3,992.97m
when the projectile almost touches the ground
vertically
maximum speed
vy = gt = 9.8 × 9.31 = 91.24 m/s
horizontally
vx = v = 428.89 m/s
projectile final velocity
v² = vx² + vy²
v² = 428.89² + 91.24²
v² = 183,946.63 + 8,324.37
v² = 192,271.004
v = 438.5 m/s
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A random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph. From past information, it is known that the standard deviation of the population is 22 mph. A 95% confidence interval for population mean is determined. If we are to reduce the sample size to 100 (other factors remain unchanged), the 95% confidence interval would:.
The average speed of 121 cars traveling on to an interstate in a random sample was 65 mph. The same values (60.688, 69.312) are used to calculate the 95 percent confidence range for the value of.
What are speed and its measure?The pace at which a distance changes over time is referred to as speed. It has a dimension of time-distance. As a result, the fundamental unit of time as well as the basic unit for length are combined to form the High silica content of speed.
What is an example of speed?You can determine an object's speed if you know how far it moves in a given amount of time. For instance, an automobile is moving at 70 miles per hour if it covers 70 miles in an hour.
Briefing:
The sample size is n= 121
The sample's average speed is 65 mph.
σ = 22mph
100 should be the new sample size other factors remain unchanged so,
given The sample size is n= 100
σ = 22mph
The 95 % of confidence interval for is calculated as follows:
(65 - 4.312 ,65 +4.312)
(60.688 , 69.312) ≅(61 ,69)
similar to (61.08, 68.92) ≅(61 ,69)
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a garden hose with a small puncture is stretched horizontally along the ground. the hose is attached to an open water faucet at one end and a closed nozzle at the other end. as you might suspect, water pressure builds up and water squirts vertically out of the puncture to a height of 0.37 m. determine the pressure inside the hose. (enter your answer to the nearest 1000 pa.)
A garden hose with a small puncture is stretched horizontally along the ground. The hose is attached to an open water faucet at one end and a closed nozzle at the other end.
Height up to which water squirts vertically out of the puncture is, h2 = 0.73 m
Let A be the area of the cross-section of the hose.
From Bernoulli's equation, we can write,
[tex]P1 + (1/2) \rho v12 + \rhogh1 = P2 + (1/2) \rho v22 + \rhogh2[/tex]
we assume that the area of the cross-section of the hose is equal to the area of the puncture so that the velocity of the water both inside the hose and at the puncture is the same. Since the hose is on the ground, h1 = 0 m. Also, P2 = 0 as water in the open experiences no pressure.
Thus, we can write
[tex]P1 = PGH_{2}[/tex]
where [tex]Pgh_{2}[/tex]is the potential energy per unit volume?
[tex]\rho = 1000 kg/m3and g = 9.8 m/s2[/tex]
So,
P1 = 1000 kg/m3 * 9.8 m/s2 * 0.73 m
[tex]P1 = 7154 kg/m.s2\approx 7kPa[/tex] is the pressure inside the hose.
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During soccer practice one of your teammates sprains her ankle. You take an instant cold pack from the first aid kit to use on her ankle. It is not at all cold when you take it out. The instructions on the cold pack tell you to punch the pack so that you break open a sake of chemicals inside it. When you do that, you notice that the cold pack rapidly becomes quite cold. What happened?.
A chemical reaction took place absorbing thermal energy from the pack
What is sprains ?Ligaments, which are tenacious bands of fibrous tissue that hold two bones together in your joints, can be stretched or torn during a sprain. An ankle sprain is the most typical type of injury. The first course of treatment entails rest, ice, compression, and elevation.
A direct or indirect injury (trauma) that misaligns the joint, overextends it, and occasionally tears the supporting ligaments results in a sprain. A sprain can result from various injuries, for instance: rolling your ankle while running, switching directions, or coming down from a jump
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2. [10pts]Three identical rods are welded together to form a Y-s of each rod is A, and they have length L and thermal conductivity k. The free end of rod 1 is maintained at Ti and the free ends of rods 2 and 3 are maintained at a lower temperature To. There is no heat loss from the surfaces of the rods to their surroundings. haped figure. The cross-sectional area a) [6pts] What is T, the temperature of the junction H2 H point? [4pts] What are the heat currents flowing in these three rods? b)
The temperature of the junction H2 is and the heat currents flowing in these three rods is H1 = 2KA/3L (Ti - To).
The thermal conductivity of a fabric is a degree of its capability to behavior warmth. it's miles usually denoted by k, lambda, or kappa. warmth switch occurs at a decrease rate in materials of low thermal conductivity than in materials of excessive thermal conductivity.
Calculation:-
H2 = H1/2
K A ( T initial - T final)/L
= 2KA ( T i T f)/L
T = (T1 + 2To)/3
H1 = 2KA/3L (Ti - To)
By symetry and law of comservation of energy.
H1 + H2 + H3 = O
H1 = H2 + H3
H2 = H3. (same properties)
H1/2 = H2 + H3
Rod 1
H1 = K(T i - T j)/L
Rod2
H2 = KA(T j - T o )/L
Thermal conductivity is a belongings that describes how properly warmness flows thru a substance. The better the thermal conductivity, the higher a substance conducts warmness.
The lower the thermal conductivity the higher, because the material conducts much less heat strength. Thermal conductivity is a assets of the cloth and does not consider thickness. Different thicknesses of the identical fabric nevertheless have the identical λ-fee.
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a wheel with rotational inertia i is mounted on a fixed, frictionless axle. the angular speed ???? of the wheel is increased from zero to ???????? in a time interval t. question what is the average power input to the wheel during this time interval?
the average power input to the wheel during this time interval, power P = I ω f 2 /2 T
What is average power?
It is the average amount of work done or energy converted per unit of time. The average power is often simply called "power" when the context makes it clear. The instantaneous power is then the limiting value of the average power as the time interval Δt approaches zero.
Power P = torque * average angular speed
= I α ( 0 + ω f ) / 2
where I = moment of inertia
α= angular accleration = ω f / T
So, power P = I ω f 2 /2 T
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how much heat (in kj) is required to warm 15.0 g of ice, initially at to steam at . the heat capacity of ice is , and that of steam is .
The heat absorbed by the ice during changing its phase from a solid-state to the liquid state is called the latent heat. Heat capacity is the amount of heat energy required to raise the temperature of a given quantity of matter by one degree Celsius.
How will the latent heat be obtained when ice undergoes transition?
The ice would have to undergo 2 phase transitions and absorb heat in the 3 phases. The equation would be:
Q=mC(ice) ∆T(ice) +mHf+ mC(water) ∆T(water) +mHv +mC(steam)∆T(steam)
The latent heat of fusion Hf of water is 333.55 J/g
The latent heat of vaporization Hv of water is 2257 J/g
The heat capacity C(water) of water is 4.184 J/g-C
ΔT(ice) is from -20 to 0 degrees Celsius
ΔT(water) from 0 to 100 degrees Celsius, and
ΔT(steam)from 100 to 125 degree celcius
Q=10.0×2.09×(0−−20)+10.0×333.55+10.0×4.184×(100−0)+10.0×2257+10.0×1.84×(125−100)Q=10.0×2.09×(0−−20)+10.0×333.55+10.0×4.184×(100−0)+10.0×2257+10.0×1.84×(125−100)
Therefore, main answer is that Heat Capacity is Q=30967.5 J=30.9675 kJ
It requires 31.0 kJ of heat to warm the ice initially at -20.0 ∘C, to steam at 125∘C.
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The statement leads us to the conclusion that 7.07kJ of heat are needed to warm the ice.
In physics, what do heat and temperature mean?An object's heat is made up all of the potential of all intrinsic molecular motion. Temperature is a unit of measurement for the heat produced of typical energy of an object, such as the parts of a material.
Briefing:Given data:
Ice has a mass of 15.0 grams (m).
The starting temperature is 10 degrees Celsius below zero.
T' = 110.0 degrees Celsius, which is the final temperature.
Ice has a heat capacity of c = 2.09 J/g C.
Steam has a heat capacity of c' = 2.01 J/g C.
At 110 degrees Celsius, the transformation from freezing to water (a liquid) and then to steam occurs as ice absorbs heat. So,
This is how much heat was absorbed:
Q = m[c(T' - T) + c'T']
Q = 15[2.09(110-(-10)+(2.01*110)]
Q = 7078.5 J
Convert in kJ as,
Q = 7078.5/1000
Q = 7.07 kJ
Therefore, we may say that 7.07kJ of heat are needed to warm the ice.
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The complete question is-
How much heat (in kJ) is required to warm 15.0 g of ice, initially at −10.0 °C, to steam at 110.0 °C? The heat capacity of ice is 2.09 J/g · °C, and that of steam is 2.01 J/g °C.
a pair of narrow slits, separated by 1.8 mm, is illuminated by a monochromatic light source. light waves arrive at the two slits in phase. a fringe pattern is observed on a screen 4.8 m from the slits. in the situation above, there are 5.0 bright fringes/cm on the screen. the wavelength of the monochromatic light is closest to:
750 nm is the predicted wavelength. The distance between two successive crests or troughs of a wave is known as its wavelength. It is measured in the wave's direction.
A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles. This length is typically defined in wireless systems in meters (m), centimeters (cm), or millimeters (mm) (mm).
= slit separation = 1.8 mm = 0.0018 m
is the monochromatic light's wavelength.
= 4.8 meters from the screen
= first bright fringe's position =
= order = 1
The first bright fringe's position is indicated by
λ = 7.5 x 10⁻⁷ m
λ = 750 nm
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what is solar activity? describe key features including sunspots, solar prominences, solar flares, and coronal mass ejections.
Solar activity includes coronal mass ejections, high-speed solar winds, solar energetic particles, and solar flares.
Explain about the Solar activity?The magnetic fields become tangled, stretched, and twisted due to the Sun's perpetual gas movement. Solar activity, or solar activity as it is also known, is produced by this motion on the Sun's surface. The Sun's surface occasionally exhibits intense activity. The atmosphere can change from time to time.
In actuality, the lengthier, 22-year cycle of solar activity is divided in half by the 11-year sunspot cycle. The magnetic field of the Sun associated with sunspots reverses polarity with each upswing and downswing in the number of sunspots, and the northern and southern magnetic hemispheres of the Sun alternate in their orientation. There is an 11-year cycle between solar activity maxima as determined by the quantity of sunspots.
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Purple colored pattern results when Ninhydrin binds with.....................................within fingerprint residue which allows for fingerprint ................................ .
enzymes, development
sweat, removal
amino acids, removal
water, development
amino acids, development
oils, development
enzymes, removal
salts, development
Purple colored pattern results when Ninhydrin binds with amino acid within fingerprint residue which allows for fingerprint development. 5th option.
How does Ninhydrin affect fingerprints?Ninhydrin reacts with the amino acid in the fingerprint deposit to produce a dark-purple product (eccrine secretion). Amino acid helps for the development of fingerprints on paper. It turns dark purple when deposited on paper.
Ninhydrin is a chemical reagent and is most widely used for fingermarks detection on porous surfaces like cardboard and paper. The purple product is often referred to as Ruhemann's purple. It was used in early times for criminology.
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if the pressure reading of your pitot tube is 12.0 mm hg at a speed of 210 km/h, what will it be at 830 km/h at the same altitude? assume the density of air at sea level.
The pressure reading of the pitot tube is 12.0 mm hg at a speed of at 830 km/h will be 187.45 mm of Hg.
It is given that,
The pressure reading of the pitot tube =12 mm of Hg
[tex]$\mathbf{p}_1=12 \mathrm{~mm}$[/tex] of Hg
Velocity at this height [tex]$\mathrm{v}_1=210 \mathrm{~km} / \mathrm{h}$[/tex]
Pressure reading at height [tex]$\mathrm{h}_2=$[/tex]
Velocity at this height [tex]$\mathrm{v}_2=830 \mathrm{~km} / \mathrm{hr}$[/tex]
Now applying the concept of the Bernoulli principle
[tex]$$\mathrm{p}_1+\frac{1}{2} \rho \mathrm{v}_1^2+\rho \mathrm{gh}_1=\mathrm{p}_2+\frac{1}{2} \rho \mathrm{v}_2^2+\rho \mathrm{gh}_2$$[/tex]
From the above equation it is clear that
[tex]$$\begin{aligned}\Delta \mathrm{p}_1^2 & =\frac{1}{2} \rho \mathrm{v}_1^2 \\\Delta \mathrm{p}_2 & =\frac{1}{2} \rho \mathrm{v}_2^2 \\\frac{\Delta \mathrm{p}_2}{\Delta \mathrm{p}_1} & =\frac{\frac{1}{2} \rho \mathrm{v}_2^2}{\frac{1}{2} \mu \mathrm{v}_1^2} \\\frac{\mathrm{p}_2}{\mathrm{p}_1} & =\frac{\mathrm{v}_2^2}{\mathrm{v}_1^2}\end{aligned}$$[/tex]
Hence, the value of the Pressure is given in terms of mm of Hg will be:
[tex]$$\begin{aligned}& \frac{\mathrm{h}_2}{\mathrm{~h}_1}=\frac{\mathrm{v}_2^2}{\mathrm{v}_1^2} \\& \mathrm{~h}_2=\mathrm{h}_1\left(\frac{\mathrm{v}_2^2}{\mathrm{v}_1^2}\right) \\& \mathrm{h}_2=\frac{12(830)^2}{210^2}=187.45 \mathrm{~mm} \text { of } \mathrm{hg}\end{aligned}$$[/tex]
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a student performs three trials of a standard two-slit interference experiment. in each trial the material and hence the index of refraction in the region between the barrier and the screen is
In each trial the material and hence the index of refraction in the region between the barrier and the screen is 487.8 nm
Given D=2.05,d=5
m=1,Y1=20cm
we have d sinθ = mλ
λ=dYn/mD=
5*10⁻⁶*20*10⁻²/1*2.05
λ=487.8 nm
In physics, refraction is the direction change brought on by a wave's speed change as it passes through one medium and enters another. In deep water, for instance, waves move more quickly than in shallow water. When two materials with different densities, such as air and glass, are in contact, light waves change their speed. Refraction is the term for the resultant change in direction that results.
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the yellow-red stains that occur on some rock surfaces is the result of which is a form of weathering.
The yellow red stain that occurs on some rock surfaces is the result of Oxidation Form of weathering
What is Oxidation ?A molecule, atom, or ion undergoes oxidation when it loses electrons as a result of a process.
When a molecule, atom, or ion's oxidation state is raised, oxidation takes place. When there is an increase in electrons or a drop in an atom, molecule, or ion's oxidation state, the process is known as reduction.
According to the given information
When you see crimson stains on rock, you are looking at the results of oxidation, which is when oxygen causes chemical changes. Steel and other iron-containing materials oxidise, which sets off a chemical reaction that causes the material to rust. Similar chemical weathering occurs in rocks.
The yellow red stain that occurs on some rock surfaces is the result of Oxidation Form of weathering
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suppose the wave is traveling in a medium in which the speed of the wave is 0.75c. determine the maximum magnetic field strength if the maximum electric field strength in the electromagnetic wave is 140 kv/m
The maximum magnetic field strength is 6.22 × 10⁻⁴ T. The result is obtained by dividing the maximum electric field strength by the speed of the wave.
What is the maximum magnetic field strength?The ratio of electric field strength to magnetic field strength in any electromagnetic wave is equal to the speed of light.
E/B = c
Where
E = electric field strengthB = magnetic field strengthc = speed of light (3 × 10⁸ m/s)If the speed of the medium wave is 0.75c and the maximum electric field strength is 140 kV/m. The maximum electric field strength would be
B = E/0.75c
B = 140.000/0.75c
B = 140.000/(0.75 × 3 × 10⁸)
B = 14×10⁻⁴/2.25
B = 6.22 × 10⁻⁴ T
Hence, the maximum electric field strength in the electromagnetic wave is 6.22 × 10⁻⁴ T.
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at what positive value of displacement x in terms of a is the potential energy 1/9 of the total mechanical energy?
When [tex]x=0.33A[/tex] the system's potential energy is 1/9 of the total mechanical energy.
Explanation:
In a simple harmonic motion the mechanical energy is conserved and is expressed by the relation
Em = ½ k A²
At all points of movement the mechanical energy and
Em = K + U
remember that potential energy is
U = ½ k x²
they ask us for the point where
U = 1/9 Em
we substitute
½ k x² = 1/9 (½ k A²)
x = √1/9 A
x = 0.33 A
Energy in Example: What is it?Energy may take on a variety of shapes. Examples of these include: electrical energy, sound energy, chemical energy, nuclear or atomic energy, light energy, heat energy, mechanical energy, gravitational energy, and so on. Each form has the ability to shift or transform into the others.
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where does the conscious awareness of sound begin, along with the analysis of its pitch, location, and loudness?
The primary auditory cortex, which is tonotopically organized, is finally reached by auditory afferents in the insular cortex's Heschel's gyrus.
Why does Heschl's gyrus serve a purpose?In addition to being critical for language comprehension, this region is also essential for speech generation, phonological retrieval, and semantic processing. The anatomical foundation of the primary auditory area is provided by Heschl's gyrus, which is a significant part of the posterior STG.
How does Herschel's gyrus function?The transverse temporal gyrus, often known as "Heschl's gyrus," which is a part of the primary auditory cortex, is credited to Heschl as being first described by a medical professional. Incoming auditory data is processed by this anatomical structure.
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Uranium-235 decays into thorium-231. Write the nuclear equation for this decay and describe the type of particle (alpha or beta) that will be emitted.
The nuclear equation for Uranium-235 decays into thorium-231 is as follows:
²³⁵U₉₂ → ²³¹Th₉₀ + ⁴He₂
Helium also known as alpha particle is been emitted during the decay.
What is Radioactive decay?Radioactive decay is the release of energy in the form of ionizing radiation. Because ionizing radiation can affect the atoms of living organisms, it poses health risks by damaging genetic tissue and DNA. Emitted ionizing radiation may contain alpha particles. Atoms decay radioactively if there is a low-energy nuclear configuration available for transition. The actual decay events of single atoms occur randomly and are not the result of the atom's age or aging. Some known radioactive decay is:
Uranium-235 decays to thorium-231 by emitting alpha particles. Thorium-231 decays to protactinium-231 by beta-minus decay.Protactinium-231 decays to actinium-227 by alpha particle emission.Actinium-227 decays to Thorium-227 by beta-minus decay.To know more about radioactive decay click-
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Nuclear decay occurs according to first-order kinetics. A nuclide decays in 3. 40 days from 45. 0 g to 12. 1 g. What is the rate constant for the nuclide?.
The rate constant for the nuclide is 0.38.
We know that the rate of first order reaction is given by : [tex]kt = 2.303*log(R'/R)[/tex]
where k = rate of reaction
t = time = 3.4 days
R' = initial amount = 45 g
R = final amount = 12.1 g
Putting these values in above reaction we get k = 0.38
i.e. the rate constant for the nuclide is 0.38.
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a cell with volume 52 m3 contains gas and a machine. the machine is then turned on remotely, expanding the box to volume of 88 m3 and giving off 830 kj of heat to the gas. the change in internal energy is then determined to be 530 kj. assuming pressure remained constant during this process, what is the pressure of the gas in the cell?
The gases in the cell is under 8333.3 Pa of pressure.
What are different sorts of pressure?Pressure is the term used to describe the physical force exerted on an object. Per unit area, a perpendicular force is delivered to that same surface of the objects. F/A is the primary formula for tension . Pascals are a unit of pressure (Pa). Relative, atmospheric, disparity, and gauge pressures are various types of pressure.
Briefing:
By using the first law of thermodynamics, we can find the work done by the gas:
ΔU = Q -W
where in this problem:
ΔU = 530kJ is the change in internal energy of the gas
Q = 830KJ is the heat absorbed by the gas
W is the work done by the gas (positive if done by the gas, negative otherwise)
Therefore, solving for W,
W = Q - ΔU
= 830 - 530
= 300KJ
= [tex]3.00 .10^{5}[/tex] J
So, the gas has done positive work: it means it is expanding.
Then we can rewrite the work done by the gas as
[tex]W = p(V_{f} -V_{i} )[/tex]
where:
[tex]V_{i} = 52 m^{3}[/tex] is the initial volume of the gas
[tex]V_{f} = 88 m^{3}[/tex] is the final volume
P is the pressure
And solving for P, we find
[tex]V_{f} = V_{i} + \frac{W}{P}[/tex]
[tex]88 = 52 + \frac{3.00.10^{5} }{P}[/tex]
[tex]88-52 = \frac{3.00.10^{5} }{P}[/tex]
[tex]36 = \frac{3.00.10^{5} }{P}[/tex]
[tex]P = \frac{3.00.10^{5} }{36}[/tex]
[tex]P = 8333.3 Pa[/tex]
Therefore , the pressure of the gas is 8333.3 Pa
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What acceleration will you give to a 24. 3 kg box if you push it horizontally with a net force of 85. 5 n?.
3.325m/s^2 acceleration will you give to a 24.9 kg box if you push it horizontally with a net force of 82.8 N.
What is Newton's second law?
Following Galileo, Isaac Newton investigated the motion of various substances and came up with his three famous laws, the first of which defines force and the second of which analyzes it. When an object's mass is constant under certain circumstances, the force is theoretically equal to the sum of the body's mass and the acceleration it experiences.
Data Given
- Mass of the box[tex]$m=24.9 \mathrm{~kg}$[/tex]
- Net horizontal force on the box[tex]$F=82.8 \mathrm{~N}$[/tex]
As per Newton's second law
[tex]$$\begin{aligned}& F=m a \\& a=\frac{F}{m} \\& a=\frac{82.8 \mathrm{~N}}{24.9 \mathrm{~kg}} \\& a=3.325 \mathrm{~m} / \mathrm{s}^2\end{aligned}$$[/tex]
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A Private jet flies the same distance in 10 hours That it commercial jet Flies in 6 hours. If the speed of the commercial jet was 200 mph less than 3 times the speed of a private jet. Find the speed of each jet.
answer:
Speed of private jet:
Speed of commercial jet:
Speed of private jet:200 mph. Speed of commercial jet:400 mph
The private plane traveled at 200 mph, whereas the commercial flight did it at 400 mph.
The commercial jet covers the same distance in six hours that the private jet does in ten.
Commercial jets go roughly 200 mph less than private jets, which travel at three times the speed.
Now, if we suppose that the private jet's speed is X mph, the commercial jet's speed will be (3 X - 200) mph.
For the private jet, if the distance covered is D,
D = 10X
For commercial aircraft,
D = (3X-200)
6
Now, we can write,
10X = 18X - 1200
6X = 1200
X = 200 mph.
Thus, the commercial jet's speed was 400 mph while the private jet's speed was 200 mph.
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You want to study a biological specimen by means of a wavelength of 20.0 nm and have a choice of using electromagentic waves or an electron microscope.
A. Calculate the ratio of the energy of a 20.0 nm -wavelength photon to the kinetic energy of a 20.0 nm -wavelength electron.
B. In view of your answer to part A, which would be less damaging to the specimen you are studying, photons or electrons?
The electron's K.E. is P 2 /2m=2.4151019 J=1.51 eV. The relationship between the system's energy output and input is referred to as the "energy balance," "energy payback ratio," or "energy ratio."
The balance of energy can be written as. Eo = dE plus Ei. The energy returned by the material to the energy taken in from the environment is known as the yield ratio. Only the primary fuel can speed up growth, but their availability is constrained.
The De Broglie hypothesis states that p= h \s
= \s1∗10 \s−9
6.62∗10 \s−34
\s =6.62∗10 \s−25 \s kg−m/s
No matter if it's an electron or a photon, the value is constant.
(b) λ=1 nm
E = hc / e = 1243.1 eV = 1.24 keV
Momentum, p=h/=6.631025 kgm/s, is shown in (c).
The electron's K.E. is P 2 /2m=2.4151019 J=1.51 eV.
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where does the conscious awareness of sound begin, along with the analysis of its pitch, location, and loudness?
Beginning with the examination of the sound's pitch, location, and volume, the temporal lobes become aware of the sound.
What does analysis mean, for instance?The process of closely scrutinizing something to learn more about it or form an opinion about it as a result of doing so: The performance of the investment plan was examined independently by our financial specialists. Clare's evaluation of the circumstance piqued my curiosity.
How does analysis physics work?The process of organizing and analyzing experimental data in physics is done to support a theory or hypothesis. It is a crucial step in the scientific process and calls for students to show high levels of proficiency in critical scientific abilities.
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