the width of the first-order rainbow on a screen 2.0 m behind the grating is Δy=0.431m
Briefly:-Finding the angle from a diffraction grating with split space d is necessary to get the fringe location ym.
dSinα=mλ
Slit spacing for a grating with N slits or lines per mm is
d=1/N
d=(1/600mm)
d=1.67×10⁻³mm
At a wavelength of 400 nm:
α=Sin⁻¹(mλ/d)
α=13.9°
The first order lowest wavelength fringe is located in the following location on the screen:
y1= Ltanα
y1=.49445m
For 700nm wavelength:
α=Sin⁻¹(mλ/d)
α=24.8°
The first order highest wavelength fringe is located in the following location on the screen:
y2= Ltanα
y2= .99255m
The first order lowest and highest wavelength fringe's difference is
Δy=(0.925595 - 0.49445)m
Δy=0.431m
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A long straight wire carrying current I is moving with speed v toward a small circular coil of radius r containing N turns, which is attached to a voltmeter as shown. The long wire is in the plane of the coil. (Only a small portion of the wire is shown in the diagram.) The radius of the coil is 0.02 m, and the coil has 11 turns. At a particular instant I = 3 amperes, v = 3.3 meters per second, and the distance from the wire to the center of the coil x = 0.17 m. (a) What is the magnitude of the rate of change of the magnetic field inside the coil? You will need to calculate this algebraically before you can get a number. Write an expression for the magnetic field due to the wire at the location of the coil. Use the approximate formula, since the wire is very long. Remember the chain rule, and remember that v = dx/dt. dB/dt = T/S (b) What is the magnitude of the voltmeter reading? Remember that this includes all 11 turns of the coil. volts
The magnitude of the rate of change of the magnetic field inside the coil 9.57*10^-5 T /s, voltmeter reading is 1.386*10^-6 V
Given that radius of the coil is r = 0.02m
Number of turns in the coil is N = 11
current in the coil is I = 3.0A
velocity is v = 3.3 m/s
distance from the wire to the center of the coil is x = 0.17m
db. / dt. = B. v / x
B = 2(μ_0 N i / )3πx
= 2 * 4π*10^-7 * 11 * 3.0A / 4π*0.17m
= 5.12*10^-6 T
dB / dt = 5.12*10^-6 * 3.3m/s / 0.17 m
= 9.57*10^-5 T /s
b ) voltmeter reading is V = n A dB / dt
= 11*π ( 0.02)^2 * 9.57*10^-5 T/s
= 1.386*10^-6 V
An electro magnetic field, often known as an EM field or EMF, is a non-quantum (classical) field created by accelerating electric charges. [1] The classical equivalent of the quantum electrodynamics' quantized electromagnetic field tensor, it is the field that classical electrodynamics describes. Charges and currents are affected by the electromagnetic field, which interacts with them and moves at the speed of light (in fact, this field can be compared to light). One of the four basic forces of nature is its quantum counterpart (the others are gravitation, weak interaction and strong interaction.)
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A roller coaster car may be approximated by a block of mass m
m
. The car, which starts from rest, is released at a height h
h
above the ground and slides along a frictionless track. The car encounters a loop of radius R
R
, as shown. Assume that the initial height h
h
is great enough so that the car never loses contact with the track.
At height h , potential energy of coaster car having mass m = mgh .
The car will lose potential energy and gain kinetic energy.
height lost by car when it is at the top of loop of radius R
= h - 2R
potential energy lost = mg ( h - 2R )
kinetic energy gained = mg ( h - 2R )
kinetic energy = 0 + mg ( h - 2R )
= mg ( h - 2R )
b )
For the car to remain in contact with the track , if v be the minimum velocity
centripetal force at top = mg
m v² / R = mg
v² = gR
kinetic energy = 1/2 mv²
= 1/2 m x gR
= mgR /
If h be the minimum height that can give this kinetic energy
mg ( h - 2R ) = mgR / 2
h - 2R = R / 2
h = 2.5 R
Therefore, the height of the roller coaster will be 2.5 R.
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A monochromatic light source with a power output of 59.0W radiates light of wavelength 600nm uniformly in all directions.
A. Calculate Bmax for the light at a distance of 5.10m from the source.
B. Calculate Emax for the light at a distance of 5.10m from the source.
A monochromatic light source with a power output of 59.0W radiates light of wavelength 600nm uniformly in all directions.
A. B(max) = 3.89 × 10⁻⁸ T
B. E(max) = 11.67 N/C
What is monochromatic light source?Single-wavelength light sources are known as monochromatic lights, where mono stands for only one and chroma for color. Monochromatic lights are defined as visible light that falls within a certain range of wavelengths. It has a wavelength that falls within a constrained wavelength range.
The whole spectrum is theoretically included in each higher-order maximum, but because of potential partial overlap with the next-order maximum, it can be challenging to identify the pattern for a given color. Monochromatic lighting solves this issue.
The intensity of the wave is calculated as:
I = P/A
or, I = P/4πR²
or, I = 59.0 W/ 4π(5.10m)²
or, I = 0.1805 W/m²
A. Emax for the light at a distance of 5.10m from the source.
E(max) = [tex]\sqrt{2u_0cI}[/tex]
or, E(max) = 11.67 N/C
Where, [tex]u_0[/tex] = 4π × 10⁻⁷ T.m/A
c = 3 × 10⁸ m/sec
I = 0.1805 W/m²
B. The amplitude of the magnetic field is calculated as follows:
B(max) = E(max)/c
or, B(max) = (11.67 N/C) / (3 × 10⁸ m/sec)
or, B(max) = 3.89 × 10⁻⁸ T
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An unhappy 0.300-kg rodent, moving on the end of a spring with force constant k = 2.50 N/m, is acted on by a damping force F = -bv. (A) If the constant b has the value 0.900 kg/s, what is the frequency of oscillation of the rodent? (B) For what value of the constant b will the motion be critically damped?
If the rodent oscillates at a frequency of 0.950 kg/s, the motion will be critically dampened at a value of 1.732 kg/s for constant b. to highlight how different from angular frequency ordinary frequency is.
The frequency of an event is its repetitions per unit of time. When contrasting it with spatial frequency, it is also sometimes referred to as temporal frequency.
given damping force: mass = 0.3 kg, k = 2.5 N/m Fx=-bvx+b = 0.950 kg/s
This oscillator is underdamped since the equation of motion for it is mx" + bx' + kx = 0, which results in b2 - 4mk = 0. W = square root(k/m - b2/4m2) yields the angular frequency of oscillation.
For critically damped motion, b2 = 4mk b = 1.732 kg/s, where w = 2.41379 rad/s.
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________is a measure, an actual measurable number of the average kinetic energy of the particles of one substance.
A) heat
B) energy
C) matter
D) temperature
Answer:
d) temperature
Explanation:
Answer:
D) temperature
Explanation:
Temperature is a measure, an actual measurable number of the average kinetic energy of the particles of one substance.
Part A
An ideal gas expands at a constant total pressure of 3.1 atm from 450 mL to 810 mL . Heat then flows out of the gas at constant volume, and the pressure and temperature are allowed to drop until the temperature reaches its original value.
Calculate the total work done by the gas in the process.
Express your answer to two significant figures and include the appropriate units.
Part B
Calculate the total heat flow into the gas.
Express your answer to two significant figures and include the appropriate units.
The work that is done by the gas can be obtained as 110 J.
There is not enough information in the question to determine part B.
What is the work done?We know that a gas is said to do work whenever the gas expands. The expansion of a gas mans that the gas is able to increase its volume and we can see from the question that the volume of the gas was quite able to move from a value of 450 mL to 810 mL .
How then can be be able to obtain the work that has been done by the gas in this case? We are aware that we do have the following parameters from the question;
Pressure of the gas = 3.1 atm
Initial volume of the gas = 450 mL or 0.45 L
Final volume of the gas = 810 mL or 0.81 L
The we have the formula;
W =PΔV
W = work done
P = pressure of the gas
ΔV = change in the volume of the gas
Thus;
W = 3.1 (0.81 - 0.45)
W = 1.12 atm L or 110 J
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Ibrahim fires a gun in front of a building 167m away. If the speed of the sound is 334m/s calculate time in which he hears an echo
When you look at a fish in a still stream from the bank, the fish appears shallower than it really is due to refraction. From directly above, it appears
a) deeper than it really is
b) at its actual depth
c) shallower than its real depth
d) It depends on your height above the water
When you look at a fish in a still stream from the bank, the fish appears shallower than it really is due to refraction. From directly above, it appears to be shallower than its real depth.
The correct option is C.
What is the refraction of light?The refraction of light refers to the bending of light rays as they cross the boundary between media of different densities.
The bending of light rays may be towards the normal or away from the normal depending on the ratio of the densities of the media.
When light rays move from media of higher density to media of lower density, the light rays bend away from the normal.
When light rays move from media of lower density to media of higher density, the light rays bend toward the normal.
The ratio of the angle of the incident ray and the angle of the refracted ray is known as the refractive index of the medium.
The refractive index of various materials varies.
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The depth of snow after n hours of a snowstorm is
The depth of snow was 0.8 inches when the storm began and 2.5 inches after the first hour of the storm describes the sequence of numbers generated by the function.
A polynomial function exists as a function that examines only non-negative integer powers or only positive integer exponents of a variable in a formula like the quadratic equation, cubic equation, etc.
Given, depth of the snow after n hours of a snowstorm exists represented by the function f(n+1) = f(n) + 0.8 where, f(0) = 2.5
To find, which statement explains the sequence of numbers rendered by the function.
Given function f(n + 1) = f(n) + 0.8 where f(0) = 2.5
Hence, the depth of snow was 0.8 inches when the storm began and 2.5 inches after the first hour of the storm describes the sequence of numbers generated by the function.
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a 3.8 kgkg block of wood sits on a frictionless table. a 3.0 gg bullet, fired horizontally at a speed of 520 m/sm/s , goes completely through the block, emerging at a speed of 190 m/sm/s .
what is the speed immediately after it exits the block
The speed of the bullet immediately after it exits the block is 190 m/s.
What is speed?
The speed of an object, also known as v in kinematics, is the size of the change in that object's position over time or even the size of the change in that object's position per unit of time, making it a scalar quantity. The instantaneous speed is the upper limit of the average speed as that of the duration of the time interval gets closer to zero. The average speed of an object in a period of time is indeed the distance travelled by object divided by duration of the interval. Velocity and speed are not the same thing. The dimensions of speed are time divided by distance.
The speed immediately after the bullet exits the block is 190 m/s. This can be determined using the conservation of momentum principle, which states that the total momentum of an isolated system remains constant. In this case, the system is the bullet and the block of wood.
Before the bullet enters the block, the momentum of the system is equal to the momentum of the bullet, which is given by:
p_i = m_b * v_b = (3.0 g) * (520 m/s) = 1560 g m/s
After the bullet exits the block, the momentum of the system is equal to the momentum of the bullet and the block, which is given by:
p_f = m_b * v_b + m_w * v_w = (3.0 g) * (190 m/s) + (3.8 kg) * (0 m/s) = 570 g m/s
By conservation of momentum, we can set the initial and final momentum equal to each other and solve for the velocity of the bullet after it exits the block:
p_i = p_f
1560 g m/s = 570 g m/s + (3.8 kg) * v_w
v_w = 190 m/s
Therefore, the speed of the bullet immediately after exiting the block is 190 m/s.
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a system of volume v and temperature t consists of n independent, distinguishable particles, each of which can be in one of two states, with energy equal to 0 or e respectively. determine the partition function of the system
The partition function of a system of particles is a statistical measure that describes the distribution of particles over different energy states.
It is defined as:
Z = Σexp(-E_i/kT)
where Z is the partition function, E_i is the energy of the i-th particle, k is the Boltzmann constant, and T is the temperature of the system. The sum is taken over all possible energy states of the particles.
In the case of a system of volume v and temperature t consisting of n independent, distinguishable particles, each of which can be in one of two states with energy equal to 0 or e, the partition function can be expressed as:
Z = exp(-0/kT) + exp(-e/kT)
This is because there are two possible energy states for each particle (0 or e), and the partition function is a sum over all possible energy states of the particles.
Substituting the values of k, T, and e into the partition function equation, we can compute the value of Z:
Z = exp(-0/kT) + exp(-e/kT)
= exp(0) + exp(-e/kT)
= 1 + exp(-e/kT)
Thus, the partition function of the system is given by the equation:
Z = 1 + exp(-e/kT)
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A stick of length 2L and negligible mass has a point mass m affixed to each end. The stick is arranged so that it pivots in a horizontal plane about a frictionless vertical axis through its center. A spring of force constant k is connected to one of the masses. The system is in equilibrium when the spring and stick are perpendicular. The stick is displaced through a small angle theta. a) Determine the restoring torque when the stick is displaced from equilibrium through the small angle theta b) Determine the magnitude of the angular acceleration of the stick just after it has been released c) Write the differential equation whose solution gives the behavior of the system after it has been released d) Write the expression for the angular displacement theta of the stick as a function of time t after it has been released from rest
Answers:
a. τ = FLcos\Theta = FL = -kL2\Theta
b. a = -ke/2m
n
c. d2\Theta/dt2 = -k\Theta /2m
d. \Theta=\Theta0 cos (k/2m)1/2t
Please explain all the steps in arriving at the answers.
A stick of length 2L and negligible mass has a point mass m affixed to each end. The stick is arranged so that it pivots in a horizontal plane about a friction less vertical axis through its center, thus calculated values are:
(A) Torque (τ) = F × L cosθ
(B) α = - Kθ/2m
(C) d²θ/dt² = -Kθ/2m
(D) θ = cos ⁻¹ ( kθ t/2Lm)
What is torque?The term "torque" refers to the twisting force that an engine exerts as it works, and it expresses the rotating force. Everyday activities like turning a doorknob, opening a drink bottle, using a tool, or peddling a bicycle all involve torque.
(A)
General equation of torque (τ) will be product of force and perpendicular distance.
τ = F × (perpendicular distance)
In this case, restoring torque. Hence, force F we taken as restoring force, and the perpendicular distance x-axis is component of L.
or, τ = F × [tex]L_{x-axis}[/tex]
or, τ = F × L cosθ
(B)
Angular acceleration general equation is:
α = Δω/Δt
here, Δω = change in angular velocity.
Δt = change in time
As we know, acceleration = force/mass
now, angular acceleration = angular force / mass of body
so, α = - Kθ/2m
(C)
f(t) = α × (t²/2)
or, f(t) = - Kθ/2m × (t²/2)
or, f(t) = - Kθ t² / 4m
now differentiating with respect to t:
or, dθ/dt = -Kθ t/2m
differentiating again with respect to t:
d²θ/dt² = -Kθ/2m
(D)
The expression for angular displacement:
cos θ = adjacent side / opposite side
or, cos θ = adjacent side / 2L
or, θ = cos ⁻¹ ( kθ t/2Lm)
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Where does water vapor come from when you exhale?; When you exhale outside on a cold winter day the water vapor in your breath cools and changes into tiny water droplets?; When you breathe into a cold window and water droplets appear it is an example of blank?; When we breathe on a cold windowpane we find dust or drops of water?
At the dew point, air can no longer absorb water vapor. When air cools above its dew point, water vapor becomes a liquid. This is a physical process known as condensation.
While you breathe out (exhale), your lungs put carbon dioxide again into the air. but, the breath you exhale doesn't only contain carbon dioxide. It additionally includes moisture from your mouth and lungs. This moisture is inside the form of water vapor, the gasoline shape of water.
While you exhale on a chilly day, the air that goes out is saturated and the temperature of the air you exhale is warmer than the encompassing air.
The water vapor to your breath condenses into many tiny droplets of liquid water and ice that you could see within the air as a cloud. It seems pretty similar to fog.
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a soccer ball is kicked 19 meters into a soccer goal. the ball has a mass of 12kg is kicked with an acceleration or 3.9m/s2. what is the work done on the ball?
Answer:
889.2 J
Explanation:
F = ma = (12 kg)(3.9 m/s²) = 46.8 N
W = Fd = (46.8 N)(19 m) = 889.2 J
Which of the following does not provide strong evidence for the Big Bang theory?
a) Observations of the cosmic microwave background
b) Observations of the amount of hydrogen in the universe
c) Observations of the amount of oxygen in the universe
d) Observations of the ratio of helium to hydrogen in the universe
b) Observations of the amount of hydrogen in the universe
The correct option is b) Observations of the amount of hydrogen in the universe.
What is big bang theory?
The Big Bang Theory is the most popular theory about how the cosmos came into being. Simply expressed, it claims the universe as we know it began with an unimaginably hot and dense single point that expanded and contracted over the course of the following 13.7 billion years, first at incomprehensible speeds and then at a more palpable rate, to the still-expanding cosmos that we know today.
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A 2.0 kg block sliding on a horizontal frictionless surface is attached to one end of a horizontal spring (k = 200 N/m) which has its other end fixed. If the block has a speed of 4.0 m/s as it passes through the equilibrium position,
The speed of the block when it is 10 cm from the equilibrium position is 3.87 m/s.
We need to apply the concept of conservation of energy. The conservation of the initial kinetic energy, the final kinetic energy, and the elastic potential energy must be applied in this situation. Mathematically this can be expressed as,
KE i = KE f + PE f
1/2* m* vi² = 1/2* m* vf² + 1/2* k * x²
where,
m is mass
vi is initial velocity
vf is final velocity
k is spring constant
x is displacement
Given that, m = 2 kg
k = 200 N/m
x = 10 cm = 0.1 m
vi = 4 m/s
Placing them in the above equation, we have
1/2* 2* 4² = 1/2* 2* vf² + 1/2* 200* 0.1²
16 - 1 = vf²
vf² = 15
vf = 3.87 m/s
Thus, the speed of the block when it is 10 cm from the equilibrium position is 3.87 m/s.
The question is incomplete. the complete question is 'what is its speed when it is a distance of 10 cm from the equilibrium position?'
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The matter in this series of images is going threw a change. Draw a conclusion about the type of change shown. Is it a physical change or a chemical change
The matter in this series of images is going through a change and a conclusion about the type of change is shown which indicates that it is a chemical change.
What is a Chemical change?This is referred to as the type of change which occurs when the substance's composition is changed and it also occurs when a substance combines with another to form a new substance or when one is broken down into two or more different substances.
The image shown indicates that fire was lit and the substance was subjected to heat which therefore means that there will be gases produced as bubbles are likely to be seen also which indicates a new substance being formed and it is a characteristic of a chemical change which is therefore the reason why it was chosen as the correct choice.
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What is transferred by a sound wave between particles?; What happens to sound waves as they get closer?; When the air particles in a sound wave are closer together it is called a?; What happens when sound waves compress?
Energy is transferred by a sound wave between particles, when sound waves get closer then frequency of wave is high.
Pulses caused by brief disturbances of the medium Wavepackets: like harmonic waves, but with finite extent. We usually focus on harmonic waves that extend forever. They are useful because they have simple math, and accurately describe a lot of wave behavior.
A harmonic wave moving in the positive x direction can be described by the equation y(x,t) = A cos(kx - wt).
Sound waves or electromagnetic waves that are created from a point source are spherical waves, i.e., they move radially from the source in all directions. These waves can be represented by circular arcs. These arcs are surfaces of constant phase (e.g., crests)
In general for spherical waves the intensity will fall off as 1/r2 i.e., the amplitude falls off as 1/r. We have all sorts of waveforms, but thanks to superposition, if we find a nice simple set of solutions, easy to analyze, we can write the more complicated solutions as superpositions of the simple ones.
It is a mathematical fact that any reasonable waveform can be represented as a superposition of harmonic waves. This is Fourier analysis, which many of you will learn for other applications.
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A bat flying in a cave emits a sound and receives its echo 0.1 s later. How far away is the cave wall? Assume the speed of sound to be 340 m/s. Answer in units of m.
As a result, the wall is 17 m away when a bat flying through a cave makes a sound and then hears its echo 0.1 seconds later.
How far is the wall of the cave?Explanation of SolutionGiven: Speed of sound wave (s) = 340msTime taken by sound wave (echo) to travel to the wall and reflect back to bat=0.1sSo, Time taken by sound wave to travel to the wall (t) only== 0.05Formula used:Distance of the wall from the bat (d) = speed of sound wave (s) x time (1)
Calculation:Putting the values and we get;
Distance of the wall from the bat (d)=340 ms x 0.05 s = 17 m
Conclusion:Thus, the distance of the wall is 17 m when a bat flying in a cave emits a sound and receives its echo 0.1 s later.
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What is the distance between Earth and sun if light travels at 300000 km/s and takes 8 mins to reach Earth?; How long can light travel in 300000 km?; Does light travel 300000 km per second?; What is the distance of the sun from the Earth * 7 light minutes 8 light minutes 9 light minutes 10 light minutes?
On average, the Sun is located around 93,000,000 miles (150 million kilometers) from Earth. It is so far away that it takes roughly 8 minutes for the Sun's light, which is moving at a speed of 186,000 miles per second (300,000 kilometers per second), to reach us.
If sunlight needs 8.3 minutes to reach Earth, how far away is Earth from the Sun?The Sun is only 8.3 light minutes away from Earth, or 1.5781e-5 light years, since light travels from the photosphere of the Sun to the Earth in only 8.3 minutes.
In 300000 kilometers, how far can light travel?The distance light travels in a year is measured in light-years. Light travels 5.88 trillion miles and 186,000 miles per second through interstellar space.
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An object is thrown vertically up in the air. Its initial velocity is 6 m/s. What is the object's maximum height? (use g=9.8 m/s^2)
An object is thrown vertically up in the air. Its initial velocity is 6 m/s. The object's maximum height is 1.83673 m.
What is Projectile motion?
Projectile motion can be regarded as a form of motion that can be experienced by an object when its been projected near the Earth's surface and follows curved path under the action of gravity only.
Given, the velocity of ball, u= 6 m/s
Here, v be the final velocity, u be the initial velocity and H be the height.
Velocity of the ball at maximum height is zero, v=0
v² - u² =2aH
0−(6)²=2×(−9.8)×H
⟹H= 1.83673 m
Thus, the object's maximum height is 1.83673 m.
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A basketball player shoots a basketball at 5.98 m/s at a 56.7° angle. If the goal
is 7.24 m away, how much time does the ball take to reach the horizontal position of the goal?
(Unit = s)
Thank you for the help!
A basketball player shoots a basketball at 5.98 m/s at a 56.7° angle. If the goal is 7.24 m away, 2.205 sec time does the ball take to reach the horizontal position of the goal.
What is velocity?The same as for speed, "m/s" is the SI unit for velocity. While velocity is the rate at which a body's displacement changes, speed is the rate at which a body's distance travelled changes. While velocity is a vector quantity and requires both magnitude and direction to be described, speed is a directionless quantity.
As an example, consider the speed of a car driving north on a highway or the speed of a rocket after launch.
Given that,
initial speed (u) = 5.98 m/s
angle (θ) = 56.7°
distance (R) = 7.24 m
Now, considering motion along horizontally,
R = (u cosθ) × t
or, 7.24 = 5.98 (cos 56.7°) × t
or, t = 2.205 sec
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Answer:
2.21
Explanation:
in this position, the days in the nourthern hemisphere are
Solstices happen when the axis of the Earth is towards our Sun.
what is nourthern hemisphere ?
The portion of the planet north of the equator is known as the northern hemisphere. Other planets in the Solar System are considered to be in the same celestial hemisphere as Earth's North Pole when seen in relation to the solar system's invariable plane.
The Northern Hemisphere experiences winter from the December solstice (usually December 21 UTC) to the March equinox (generally March 20 UTC), and summer from the June solstice through to the September equinox due to the Earth's axial tilt of 23.439281°. (typically on 23 September UTC). The distinction between the astronomical year and the calendar year causes the dates to change every year. Oceanic currents in the Northern Hemisphere can alter weather patterns that have a significant impact on many northern variables.
Solstices happen when the axis of the Earth is towards our Sun. This occurs twice a year when the Earth is in orbit. The summer solstice, the longest day of the northern hemisphere year, occurs around June 21 when the north pole is angled 23.5 degrees toward our Sun.
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Determine minimum face width for a spur gear pair based on static yield tooth bending failure. Assume tip loading. The input pinion is driven by a 2 HP electric motor at 1800 rpm with moderate shock loads on the output. Nes = 2 Pa = 18 0 = 20° Np = 19 Ng = 57 Qv = 7 1045 cold-rolled steel (F = 0.640 inch) 3) Repeat problem 2) for fatigue with 99% reliability over 107 mesh contacts using hardness HB from Table A-9 and Grade 2 unmodified fatigue strength from Figure 12-25. (F = 1.423 inch)
The binding stress of the spear gear in the table is 502.22 Pa.
The diameter of the pinion is equal to:
d(p) = Nm(p)
Where
m = module = 5
Np = number of teeth of pinion = 26
d(p) = 5* 26 = 130 = 0.13 m
The pitch line velocity is equal to:
v(t) = d(p)*2pi*w(p)/120
Where
wp = speed of the pinion = 1800 rpm
v(t) = 12.25 /s
The factor B is equal to: 0.396
The factor A is equal to:
A = 50 + 56*(1 - B) = 50 + 56*(1-0.396) = 83.82
The dynamic factor is:
K(v) = A/A+√200v(t) B
K(v)= 0.832
The geometry bending factor at 20°, the application factor Ka, load distribution factor Km, the size factor Ks, the rim thickness factor Kb and Ki the idler factor can be obtained from tables
JR = 0.41
Ka = 1
Kb = 1
Ks = 1
Ki = 1.42
Km = 1.7
The diametrical pitch is equal to:
p(d) = 1/m = 1/5 = 0.2
The bending stress is equal to:
σ = w(t)p(d)k(a)k(m)k(g)k(b)k(i)/FJ(g)K(v)
σ = 502.22 Pa
Therefore, the binding stress of the spear gear in the table is 502.22 Pa.
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a piston presses down on a sealed cylinder filled with gas until the gas occupies a space that is half as big as before. as a result, the pressure on the gas is
A piston presses down on a sealed cylinder filled with gas until the gas occupies a space that is half as big as before. as a result, the pressure on the gas becomes doubled.
When the piston is pushed down in a cylinder filled with gas What happens to the volume of the gas inside?
When the pressure on the piston is doubled, it moves down until the pressure exerted by the gas equals the pressure exerted by the piston. At this point, the volume of the gas is halved. If the pressure on the piston is again doubled, the volume of gas decreases to one-fourth of its original volume.
What happens to the pressure in a sealed container if the amount of gas in the container increases?
Pressure increases.
Why does the pressure inside a container of gas increase if more gas is added to the container?
The pressure inside a container of gas increases when more gas is added to the container because the volume of the container doesn't change, and the added gas adds more molecules to push against the sides of the container. It is the movement of the gas molecules pushing against the container that causes pressure.
Thus, pressure is doubled.
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A rabid 3kg racoon accelerates uniformly from rest to a speed of 14m/s in 0.45 seconds. Find the
average acceleration of the racoon.
Answer: 31.1 m/s²
Explanation:
avg. accel. = (Vfinal - Vinitial) / Δt
Vfinal = 14 m/s
Vinitial = 0 m/s
Δt = 0.45 s
avg. accel. = (14 m/s - 0 m/s)/0.45 s = 31.1 m/s²
Please help with these MCQs.
1. Filter absorbs __________________.
- only primary coloured lights
- only secondary coloured lights
- only tertiary coloured lights
- all colors of white light
2. The light that has passed through a filter, is always ______________.
- dim
- bright
- sharp
- blur
1. Filter absorbs all colors of white light.
2. The light that has passed through a filter, is always dim.
Which colors are being absorbed by the filter?The filter selectively transmits the red and blue portions of the incident white light spectrum, but absorbs most of the green wavelength.
Color filters absorb certain wavelengths of color and transmit the other wavelengths allowing them to be seen.
Therefore in conclusion, the right filter can reduce glare, increase contrast, and make lunar features pop.
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part b in another experiment, the intensity of the incident light and the temperature of the metal are held constant. assuming that the initial light incident on the metal surface causes electrons to be ejected from the metal, what happens if the frequency of the incident light is increased? check all that apply. view available hint(s)for part b in another experiment, the intensity of the incident light and the temperature of the metal are held constant. assuming that the initial light incident on the metal surface causes electrons to be ejected from the metal, what happens if the frequency of the incident light is increased?check all that apply. the work function of the metal increases. the number of electrons emitted from the metal per second increases. the maximum speed of the emitted electrons increases. the stopping potential increases.'\
Because whilst depth of incident mild will increase, it approach that wide variety of photons will increase in incident mild.
If wide variety of incident photons will increase, then wide variety of emitted picture graph electrons additionally will increase, therefore the picture graph electric powered contemporary will increase.
The photoelectric impact. In the photoelectric impact, mild waves (pink wavy lines) hitting a steel floor motive electrons to be ejected from the steel.
Current in picture graph electric powered impact is immediately proportional to the depth of the incident mild. paintings function, preventing potential, most kinetic electricity are unbiased of depth of incident mild, they rely upon the frequency, wavelength of the incident mild and cloth of the steel.
Using L for luminosity, the depth of mild system becomes I=LA I = L A . Because mild waves unfold in all directions, to correctly calculate mild depth, the denominator withinside the system have to be the floor vicinity of a sphere. In fact, maximum electromagnetic calculations are achieved over a sphere.
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Scientists have been able to develop a nuclear fusion plant to generate energy.
True or False
Answer: true
Explanation:
Q1) Give reasons for the following:-
a. a leaf appears green;
____________________________
b. milk appears white;
____________________________
c. the words on a page appear black;
____________________________
Answer:
Explanation:
A leaf appears green becuase of photosyithesis
Milk appears white because all the corols are being aborseb
words on the page are black because all colors are being refcted.
