Individual characteristics are demonstrated by the unique pattern of bullets fired from every gun model
There are two types of characteristics. They are class characteristics and individual characteristics. Class characteristics helps to place an evidence into a group of objects whereas individual characteristics narrows down the evidence to a particular object.
For example, a type of blood group is a class characteristic because it belongs to a group of humans. But DNA taken from the blood is a individual characteristic because it belongs to only one human on the entire planet.
Therefore, Individual characteristics are demonstrated by the unique pattern of bullets fired from every gun model
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A north american tourist takes his 40.0 w, 120 v ac razor to europeand plugs it into 240 v ac. assuming constant resistance, what power does the razorconsume as it is ruined?
The power does the razor consume as it is ruined 160 watt.
From joules law of heating, current flows through a resistor, converts a part of electric energy into heat energy.
The rate at which the power dissipated through a resistor is,
[tex]P = V^2/R[/tex]
Here,V is the applied voltage or voltage from source Ris the resistance of the resistor, Resistance of the device Ac razor)is,
[tex]R = V^2/P[/tex]
[tex]= (120)^2/ 40[/tex]
= 14400/40
= 360 ohm
NOW, the input voltage is change to V1, new power consumed by the razor is
[tex]P_1 = V_1^2/R[/tex]
[tex]= (240)^2/360[/tex]
= 57,600/360
=160 watt
Joule's law is the e rate at which heat is produced in a conductor is directly proportional to the square f the current provided is resistance is constant.
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A five-fold increase in the mass of a gas would result in a five-fold _______ in pressure.
Answer:
If the gas is ideal while volume and temperature stay unchanged, there would be a five-fold increase in the pressure of this gas.
Explanation:
Let [tex]V[/tex] denote the volume of this gas, let [tex]P[/tex] denote the pressure of the gas, let [tex]n[/tex] denote the number of particles in this gas, let [tex]T[/tex] denote the temperature of this gas, and let [tex]R[/tex] denote the ideal gas constant.
If this gas is an ideal gas, it would satisfy the ideal gas law:
[tex]P\, V = n\, R\, T[/tex].
Assuming that this gas is uniform. The mass of this gas will be directly proportional to the number of particles [tex]n[/tex] in this gas. Hence, a five-fold increase in the mass of this will increase the number of particles in this gas by five folds.
Rearrange this equation to separate pressure [tex]P[/tex] from the number of particles in this gas [tex]n[/tex]:
[tex]\begin{aligned} P &= \left(\frac{R\, T}{V}\right) \, n\end{aligned}[/tex].
In other words, if the temperature and volume of this gas stays the same, the pressure [tex]P[/tex] of this gas will be proportional to the number of particles [tex]n[/tex] in this gas. Thus, the five-fold increase in the number of particles (from a five-fold increase in mass) will increase the pressure of this gas by five folds.
An asteroid has a perihelion distance of 3.36 a.u. and an aphelion distance of 1.5 a.u. to the nearest hundredth of an a.u., what is its semi-major axis?
The semi - major axis is a = 2.43 A.U
The semi-major axis, a, is half of the longest diameter of an ellipse. Together with the semi-minor axis , b, and eccentricity, e, it forms a set of related values that completely describe the shape of an ellipse.
Now,
We have to find the semi major axis which we represents as "a".
Aphelion = a( 1+e ) = 1.5 AU.
Perihelion = a( 1−e )= 3.36 AU .
a = ( 1.5 + 3.36 )/2 AU = 2.43 AU .
e = 3.36 - 1.5 /2a
= 1.86 /2 ( 2.43 ) = 1.86 /4.86
=0.3827.
The semi - major axis is a = 2.43 A.U
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Suppose that we roll a fair die until a 6 comes up.
a) what is the probability that we roll the die n times?
b) what is the expected number of times we roll the die?
(a) The probability that we roll the die n times is (5/6) n−1 = (1/6)
(b) The expected number of times we roll the die is 6
We would have to roll (n – 1) numbers that are not 6 followed by a 6. In other words, other five numbers are expected to be rolled each, and since there are five other numbers aside 6, so the probability is
(5/6) n−1 = (1/6)
The expected number of dies to be rolled is given by the relation:
E(N) = ∑_(n=1)^∞▒n
= (5/6) n−1* (1/6)
= (1/6) (1/(1-(5/6)))2
= 6
This is the correct answer since after 6 rolls we would expect to have rolled exactly one 6 while other numbers appear once per time.
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The diameter of a copper wire is 3mm. Express this diameter in meters.
If a cd player uses electricity at a rate of 16 w, how much energy in kwh does it use in a 6 hours?
An energy unit known as a kilowatt-hour is one kilowatt of power for one hour. It is 3.6 megajoules, or in conventional units.
What is energy in kwh?An energy unit known as a kilowatt-hour is one kilowatt of power for one hour. It is 3.6 megajoules, or in conventional units. Kilowatt-hours are a typical billing unit for the electrical energy that electric companies provide to their customers. The kilowatt-hour (abbreviated kWh) is a measure of energy that represents one kilowatt's (1 kW) power output over the course of one hour. Although it is not a formal standard unit in any system, the kilowatt-hour is frequently employed in electrical applications. A kilowatt hour (kWh) is a unit of measurement for your hourly energy use, whereas a kW is a unit of power. Kilowatt, sometimes known as kW, is a unit of measurement for electricity. Therefore, 1,000 watts make up one kilowatt.The Formula for Calculating Watts Into Kilowatt-Hours:
kWh = (watts × hrs) ÷ 1,000
[tex]= ( 16*6)/1000[/tex]
=0.096 kwh
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A rock transformed from any other rock through extreme heat and or pressure is referred to as:_________
Answer:
A metamorphic rock
Explanation:
What is the wavelength of the line corresponding to n=n= 4 in the balmer series?
The wavelength of the line corresponding to n=n= 4 in the Balmer series is 486 nm .
What is meant by wavelength?A periodic wave's wavelength is its spatial period, or the length over which its shape repeats. 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). The distance between two successive crests or troughs of a wave is known as its wavelength. It is measured in the wave's direction.
Expression for the Balmer series to discover the wavelength of the spectral line is as follows:
1 / λ = R [tex](1/2^{2}-1/n^{2} )[/tex]
Where λ stands for the wavelength, R stands for the Rydberg constant, and n is the integral value (4 here → the Fourth level)
Substitute 1.097 x 10⁷ m⁻¹ for R and 4 for n in the above equation
1 / λ = (1.097 x 10⁷ m⁻¹) [tex](1/2^{2}-1/4^{2} )[/tex]
= 0.20568 x 10⁷ m⁻¹
λ = 4.86 x 10⁻⁷ m
since 1 m = 10⁹ nm
λ = 486 nm
Hence, The wavelength of the line corresponding to n=n= 4 in the Balmer series is 486 nm .
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Diego is warming up to compete in a 3,200-meter race. Although he'll need to pace himself to go the distance, he also needs to run faster than his competitors. Will Diego be using aerobic or anaerobic exercise during the race? PLSS HELP!!!
both
neither
only aerobic
only anaerobic
When Diego is in the race, he would be using only aerobic exercise.
What is aerobic exercise?The term aerobic exercise has to do with the type of exercise that require brisk repetitive movements in which the consumption of oxygen is elevated during the process.
A person tends to breath faster and more deeply when carrying out an aerobic exercise and the rapid movements is the reason why there is an intense demand for oxygen in the process.
As such, when Diego is in the race, he would be using aerobic exercise.
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What is happening to the radiation intensity as the wavelength of the light increases?
Increase in wavelength of light leads to decrease in the radiation energy.
Radiation energy is inversely proportional to the wavelength of light. Thus, an increase in the wavelength of light will decrease the radiation energy and a decrease in the wavelength of light will increase the radiation energy.
Radiation energy is calculated by the formula:
E = hυ
where,
E is the radiation energy
h is the Planck’s constant
υ is the frequency
But,
υ = c / λ
where,
c is the speed light travels at in vacuum
λ is the wavelength of light
Therefore,
E = hc/λ
And thus, radiation energy and wavelength of light are inversely proportional.
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every day Liam rides his bicycle to the near park that is 1.75 kilometers away from his home. if it takes liam 10 minutes to reach the park what is liam's average cycling speed?
The speed is the distance covered by an object at a particular time. The average cycling speed of Liam is 2.91667 meters/sec.
What is speed?The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.
Speed = Distance Covered / Time taken
Given that Liam rides his bicycle to the near park that is 1.75 kilometers away from his home and it takes Liam 10 minutes to reach the park. Therefore, we can write,
Distance covered by Liam = 1.75 kilometers
= 1.75 × 1000 meter
= 1750 meters
Time taken by Liam = 10 minutes
= 10 × 60 seconds
= 600 seconds
Now, Liam's average cycling speed can be written as,
Liam's average cycling speed
= Distance covered by Liam/Time taken by Liam
= 1750 meters / 600 seconds
= 2.91667 meters/seconds
Hence, the average cycling speed of Liam is 2.91667 meters/sec.
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What is the density of a piece of wood that weighs 62.0 grams and displaces 0.525 l of water?
The density of wood is 118.095 gram/liter.
We need to know about the density to solve this problem. Density is a unit that measures how dense an object is. Density can be measured by dividing mass by volume. It can be written as
ρ = m / V
where ρ is density, m is mass and V is volume
From the question above, we know that
m = 62 grams
V = 0.525 liter
By substituting the following parameters, we can calculate the density
ρ = m / V
ρ = 62 / 0.525
ρ = 118.095 gram/liter
Hence, the density of wood is 118.095 gram/liter.
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The input voltage to a transformer is 120v dc to the primary coil of 1000 turns. what are the number of turns in the secondary needed to produce an output voltage of 10v dc?
The transformer secondary turns should be 83 turns.
We need to know about the transformer to solve this problem. Transformer is a device that can increase or reduce the voltage. The changed voltage depends on the current and number of coil turns. It can be written as
Vi / Vs = Ni / Ns = Is / Ii
where Vi is input voltage, Vs is output voltage, Ni is primary turn, Ns is secondary turn, Is i output current and Ii is input current.
From the question above, we know that
Vi = 120 V
Ni = 1000 turns
Vs = 10V
By substituting the following parameters, we can calculate the secondary turns
Vi / Vs = Ni / Ns
120 / 10 = 1000 / Ns
Ns = 1000 / 12
Ns = 83 turns
Hence, the transformer secondary turns should be 83 turns.
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David runs 15 km North, then 7 km West to get home. What is Travis's displacement?
Answer:
16.55 km
Explanation:
to find the displacement use the Pythagorean theorem to find the distance between the starting position and the ending position
15 becomes 225 when squared
7 is 49 when squared
225+49=274
sqrt of 274 is 16.55
If 4.71 l of nitrogen gas and 24.96 l of hydrogen gas were allowed to react, how many liters of ammonia gas could form? assume all gases are at the same temperature and pressure.
If 4.71 l of nitrogen gas and 24.96 l of hydrogen gas were allowed to react, in total 16.616 L of ammonia could form.
Volume of AmmoniaThe balanced reaction for this would be:
N2(g) + 3H2(g) → 2NH3(g)
assuming STP:
∴ V N2(g) = 4.71 L
∴ V H2(g) = 24.96 L
The ideal gas equation is stated as:
PV = RTn
∴ moles N2(g) = PV/RT
⇒ mol N2(g) = (1 atm) (4.71L)/ (0.082 atm.L/K.mol)(298 K)
⇒ mol N2(g) = 0.007 mol
∴ moles H2(g) = PV/RT
⇒ mol H2(g) = (1) (24.96) / (0.082) (298) = 1.021 mol (limit reagent)
∴ moles NH3(g) = (1.021 moles H2(g)) (2 moles NH3 / 3 mol H2) = 0.680 mol
∴ V NH3(g) = RTn/P
⇒ V NH3(g) = ((0.082 atm.L/K.mol)(298 K) (0.680 mol))/(1 atm)
⇒ V NH3(g) = 16.616 L
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What is the average acceleration of a sports car that increases its velocity from 2.0 m/s [w] to 4.5 m/s [w] in 1.9 s?
The average acceleration is a = 1.3158 m/s²
How do you write average acceleration?The change in velocity (v) over the change in time (t) is represented by the equation a = v/t. This enables you to calculate how quickly velocity changes in meters per second squared (m/s2). Because acceleration is a vector quantity, it includes both magnitude and direction.To calculate acceleration, divide velocity by time — or, in SI units, divide the meter per second [m/s] by the second [s]. Dividing distance by time twice is equivalent to dividing distance by time squared. As a result, the meter per second squared is the SI unit of acceleration.The average acceleration.
V₀ = 2.0 m/s,
V = 4.5 m/s,
t = 1.9 s,
a =?
a = V-V₀/t
a = 4.5 m/s - 2.0 m/s / 1.9 s
a = 2.5 m/s /1.9 s
a = 1.3158 m/s²
∴ The average acceleration is a = 1.3158 m/s²
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If the bias of the previous varactor has changed to 2v with reverse bias connection, what is the new resonance frequency in ghz?
Varactors provide a tunable capacitance with the bias voltage across the varactor, a reverse biased diode, changing the capacitance of the diode. The applied bias voltage also changes the series resistance of the diode
The choke inductors provide a DC short and an RF opens
The resonator network is designed to be resonant at a frequency above the operating frequency. At the oscillation frequency, the resonator network must present an inductance to resonate with the capacitance of the active device in an oscillator. In addition, for oscillator stability, the effective inductance must have a particular derivative of admittance with respect to frequency.
The combination of the resonator and the active device forms an oscillator. The intersection of the active device and resonator loci selects the oscillation frequency of the oscillator. The oscillator presents a capacitance to the resonator and so the resonator must present an inductance to the active device
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The frequency of a microwave signal is 9.76 ghz. what is its wavelength in meters?
Wavelength = c/f = (3 × [tex]10^{8}[/tex]) / (9076 × [tex]10^{9}[/tex]) = 0.0307 m.
The distance between identical points (adjacent crests) in adjacent cycles of a waveform signal propagated in space or along a wire is defined as the wavelength.
What is wavelength?The distance between successive crests of a wave, especially a sound wave or electromagnetic wave.The SI unit of wavelength is the meter, abbreviated as m. When measuring wavelength, multiples or divisions of a meter are also used.Wavelength is generally denoted by the Greek letter lambda (); it is equal to the speed (v) of a wave train separated by its frequency in a medium. Here are some wavelength examples: Yellow Light is an example. All visible light has a wavelength range of 400 to 700 nanometers (nm). The wavelength of yellow light is approximately 570 nanometers. Wavelength (nm) (nm)Therefore,
Wavelength = c/f = (3 × [tex]10^{8}[/tex]) / (9076 × [tex]10^{9}[/tex]) = 0.0307 m.
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Rocket in space moving at 30 km/s experiences no forces. how fast is the rocket moving after 60 seconds?
The rocket is still moving at 30 Km/s after 60 seconds
What is speed?Speed is the distance travelled per unit. Mathematically, it can be expressed as:
Speed = distance / time
How to determine the speed after 60 secondsThe follwing data were obtained from the question:
Initial speed = 30 Km/sForce = 0 NSpeed after 60 seconds =?From the data given, we were told that the rocket experience no forces.
This simply implies that the rocket was still moving at the said speed (i.e 30 Km/s)
Thus, we can conclude that the speed of the rocket after 60 seconds is 30 Km/s since it experience no forces.
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E
2. Evidence:
Complete the table using the acceleration portion of the PhET simulation. (4 points)
mass (kg)
Applied force (N)
50 kg
50 kg
50 kg
50 kg
150 N
200 N
250 N
300 N
Eart/Sum of Forces (N) acceleration (m/s²)
The acceleration of the following given forces and masses are Mass = 50 kg, Force = 150N, Acceleration = 3m/s², Mass = 50 kg, Force = 200N, Acceleration = 4m/s², Mass = 50 kg, Force = 250N, Acceleration = 5m/s², Mass = 50 kg, Force = 300N, Acceleration = 6m/s².
What is Newton's second law of Motion?According to Newton's second law of motion, the rate of change of momentum is directly proportional to the force.
F = ma ----(1)
where,
m is the mass of the body
a is the acceleration by which body move
F is the force
From 1 equation,
a = F/ m
By substituting all the values, we get
For (1),
a = 150/ 50
a = 3m/s²
For (2),
a = 200/50
a = 4 m/s²
For (3),
a = 250/50
a = 5m/s²
For (4),
a = 300/50
a = 6 m/s²
Thus, we concluded that the acceleration of the following given forces and masses are
Mass = 50 kg, Force = 150N, Acceleration = 3m/s²
Mass = 50 kg, Force = 200N, Acceleration = 4m/s²
Mass = 50 kg, Force = 250N, Acceleration = 5m/s²
Mass = 50 kg, Force = 300N, Acceleration = 6m/s²
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An inductor is connected to an ac supply. increasing the frequency of the supply _________ the current through the inductor.
Increasing the frequency of supply will decrease the current through the inductor.
When an inductor is connected to an ac supply, it develops a resistance known as inductive reactance.
The inductive resistance/reactance(XL) is given by the following formula
XL = ω X L
As ω =2πf
XL = 2πf x L
Where ω is the angular frequency and f is the frequency of the AC supply.
When the frequency of AC supply is increased i.e, f is increased, the inductive reactance (XL) is also increased because it is directly proportional to the frequency.
As the resistance of the inductor is increased, the current through it will decrease.
Thus, increasing the frequency of supply will decrease the current through the inductor.
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A 700 kg car is driving with an acceleration of 5 m/s² down the interstate.
What is the force required to accelerate the car?
O 3,500 N
O 650 N
O 14 N
O 0.071 N
Carbon emits photons at 745 nm when exposed to blackbody radiation. How much energy would be obtained if 44g of carbon were irradiated? assume each carbon atom emits one photon.
The energy would be obtained if 44 g of carbon were irradiated is 5.8863 x 10^5 J.
Assume each carbon atom emits one photon. For each photon.
E=hc/lambda
Where h = Plank's constant
C = speed of light
E = (6.625×10^-34)×(3×10^8)/(7.45×10^-7)
E = 2.66819x10^-19 J
So the total energy emitted is
E = E1xn
E = (2.66819x10^-19)×(6.022x10^23)/ 1 mol of carbon atom
E = 5.8863 x 10^5 J
What is black body radiation?Black body radiation is a type of radiation in which a body is in thermodynamic equilibrium, emitted by a black body. It has a specific, continuous spectrum of wavelength. Photons are energy stored in bundles.
In above question,
Wavlength (lambda)=745nm = 7.45x10^-7m.
Mass of carbon = 44 gram
Assume each carbon atom emits one photon. For each photon.
E=hc/lambda
Where h = Plank's constant
C = speed of light
E = (6.625×10^-34)×(3×10^8)/(7.45×10^-7)
E = 2.66819x10^-19 J
So the total energy emitted is
E = E1xn
E = (2.66819x10^-19)×(6.022x10^23)/ 1 mol of carbon atom
E = 5.8863 x 10^5 J
Therefore, The energy would be obtained if 44 g of carbon were irradiated is 5.8863 x 10^5 J.
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The critical angle for a diamond surrounded by air is 24.4 degrees. what is the index of refraction for diamond?
Critical angle. Angle of refraction from. Diamond to hear is 90 degree.
Using Snell's law.
[tex]\frac{sini}{sin90} =\frac{1}{n} \\ or, n=2.42[/tex] index of refraction
what is refraction?Refraction is the term for the bending of light as it passes through transparent materials (it also occurs with sound, water, and other waves).
We are able to create lenses, magnifying glasses, prisms, and rainbows because to this bending caused by refraction. Even our eyes rely on this light bending. We wouldn't be able to concentrate light onto our retina without refraction.
Two factors determine how much bend occurs:
Change in speed: A material will refract (bend) or speed up either slow down the light more if it does so.Angle of the incident ray: If the light enters the substance at a larger angle, the quantity of refraction will likewise be more apparent. But even if the light will slow down and remain pointed in the same direction if it enters the new substance directly (at 90 degrees to the surface).To know more about refraction visit:
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Ow much heat (kj) is absorbed by 948.0 g of water in order for the temperature to increase from to:__________
The temperature to increase from to 29.75℃.
What is heat absorption?When heat is transferred from your body by moving air, convection takes place. The air will rise if it absorbs your heat and is colder than the environment. Cooler air flows in to take its place and absorb more of your warmth as the warmed air rising around you increases. You feel colder as this air flows more quickly.
When absorbed by a substance, heat results inter-particle bonds to weaken and break which result to a change of state (solid to liquid for example). Heat causing a phase change is NOT sufficient to cause an increase in temperature
amount of heat absorbed ,
q = m* c* ΔT
specific heat of water is = 4.186J/g ⁰C
ΔT = 7.5⁰C
mass of water = 948.0g
there for,
q = 948.0g * 7.5⁰C * 4.186J/g ⁰C
q = 29.762 KJ
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how was energy transferred from the heat source to the food coloring why does convection occur and fluid and not solid
Answer:
1what is the first who derived car
Calculate the speed of raindrops hitting your face when thy fall vertically at 3m/s while you’re running horizontally at 4 m/s
The speed of raindrops hitting your face when thy fall vertically at 3m/s while you’re running horizontally at 4 m/s is 5 m/sec.
What is the calculation of the given problem?Consider one drop of rain falling vertically. The velocity of the rain and the velocity of the man both are taken as vectors.
The result of the above statement is the vector is sum.
Let us consider two vectors : a and b.
Then a and b are added.
The magnitude of the sum is the root of the sum of squares of the individual vectors.
We know that
a = 3
b = 4
On substituting the given values in the above equation, we get as
Underroot of 3^2 + 4^2 we get 25.
Therefore the square root of 25 is 5
Therefore, it hit fast your face is 5 m/s.
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What is the fundamental frequency of a 0.672-m-long tube, open at both ends, on a day when the speed of sound is 344 m/s?
The fundamental frequency of a 0.672-m-long tube, open at both ends, on a day when the speed of sound is 344 m/s is 256 Hz.
How to calculate the fundamental frequency?The fundamental frequency is the lowest frequency that any given instrument can produce. The instrument's first harmonic is another name for the fundamental frequency.
Given,
Length of the tube = 0.672-m
Speed of sound = 344 m/s
Tube open at both the ends
Solution:
Since the tube is open at both ends,
[tex]f_{n}[/tex] = n ([tex]V_{w/2L}[/tex])
n = 1, 2, 3, 4,...
[tex]f_{1}[/tex] = 1(344/2*0.672)
= 256 Hz
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What is the angle, in radians, between the central maximum and the m = 1 bright fringe?
The angle in radians between the central maximum is 0.04 .
The central maximum is the brightest central portion of the diffraction pattern. The central maximum is the widest and has the maximum intensity.
When the crest of a wave coincides with the crest of another wave then that interference is called the bright fringe. The same thing happens with the dark fringe also, when the trough of one wave coincides with the trough of another wave then results in dark fringes.
Formula used:
nλ = d sin(θ)
Given,
n = 1, and d = 25λ, so:
λ = 25λsin(θ)
on Dividing through by λ, and we get:
1 = 25sin(θ)
1/25 = sin(θ)
θ = 2.29 degrees = 0.04 radians.
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If the amplitude of the elctic field in a plane electromagnetic wave is 100 v/m then the amplitude of the magnetic feild is:_________
The amplitude of the electric field in a plane electromagnetic wave is 100 v/m then the amplitude of the magnetic field is 3.34×[tex]10^{-7}[/tex].
What is an Electromagnetic wave?Electromagnetic waves, or EM waves, are produced by the oscillations of an electric field and a magnetic field. In other words, electromagnetic (EM) waves are created when magnetic and electric fields oscillate.
Electromagnetic waves are produced when an electric field and a magnetic field interact. They are referred to as "electromagnetic" waves as a result. The electric field and magnetic field of an electromagnetic wave are perpendicular to one another (at right angles). They are also parallel to the direction of the EM wave.
According to the question,
Electric Field, E₀= 100 v/m and,
B₀/E₀=1/c
The amplitude of the magnetic field will be :
B₀=E₀/c
=100/(3×[tex]10^{8}[/tex])
B₀=3.34×[tex]10^{-7}[/tex]
Hence, the amplitude of the magnetic field is 3.34×[tex]10^{-7}[/tex].
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