In an expression, a graph, or perhaps a table of values, the steady rate of change can indeed be observed. The slope of an equation can be thought of as the constant rate of change.
What is meant by "constant rate of change"?The rate of variation is considered to be constant if the ratio pf output to input remains unchanged at any given point along function. Constant change rate is also known as slope. Linear functions will have a consistent rate of change.
What is a steady rate, specifically?When anything moves at a fixed, steady pace or at an average speed, it is said to be moving at a constant rate, also known as a uniform rate. For instance, 3 hours pass while driving. In the first hour, it travels 30 miles, in the second hour, 45 miles, and in the third hour, 75 miles.
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Suppose you hear an echo 0.15 seconds after banging. How long
is the barn? (Remember the relationship between distance, time, and speed from sections on motion.)
If you hear an echo 0.15 seconds after banging, the barn is 25.725 m long.
What is echo?
An echo is a sound that results from the return of sound waves to the listener from a surface. It is the reflection of sound, which reaches the listener after the direct sound has passed.
Given data:
you hear an echo 0.15 seconds after banging.
we know that speed of sound in air is 343 m/s.
As in this time sound waves goes to the barn and returns back.
Hence, the barn is = 343×0.15/2 m long = 25.725 meter long.
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a drum rotates around its central axis at an angular velocity of 11.00 rad/s. assume that the drum then slows at a constant rate of 4.30 rad/s2. (a) how much time does it take and (b) through what angle does it rotate in coming to rest?
The time taken by the drum to come to rest is 2.55 seconds and the angle that it makes is 14π.
The drum rotates around the central axis with angular velocity of 11 rad/s. After that it slow down with constant rate of 4.3 rad/s².
(a) The time taken by the drum to come at rest will he given by,
W' = W + at
W is initial angular velocity,
W' is final angular velocity,
a is the rate of slowing down,
t is the time taken.
Putting values,
11 = 4.3t
t = 11/4.3
t = 2.55 seconds.
(b) The angular displacement will be given by,
2aS = W'² - W²
S is the angles made while slowing down,
Putting values,
2(4.3)S = (11)²
S = 14 rad.
So, the angle made is 14π.
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An electron is released from rest in a uniform electric field. If the electric field is 1.25 kN/C, at the end of 20 ns
the electron's velocity will be approximately
At the end of 20 ns, the electron's velocity will be approximately 5.2 × 10⁶ m/s.
What is electric field?The force per unit charge exerted on a positive test charge that is at rest at a given position is the force per unit charge that is used to define the electric field analytically.
Electric charge or magnetic fields with variable amplitudes can produce an electric field. The attraction forces that keep together atomic nuclei and electrons at the atomic scale are brought on by the electric field.
Given that:
the electric field is 1.25 kN/C
So, acceleration of the electron: a = eE/m
= (1.6 × 10⁻¹⁹×1.25×10³)/(9.1×10⁻³¹) m/s²
= 2.6 × 10¹⁴ m/s².
Hence, after the end of 20 ns the electron's velocity will be = at
= 2.6 × 10¹⁴ × 20 × 10⁻⁹ second
= 5.2 × 10⁶ m/s.
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Without collecting any data, describe the motion of the puck while it is on the curved portion of the ramp - is it more similar to motion with constant velocity or motion with constant acceleration? Explain your reasoning. Assume we can ignore friction.
A constant acceleration for an object guarantees that its velocity will change continuously throughout time and not remain constant.
What parallels exist between acceleration and speed?Similarities.Acceleration and velocity are both vector quantities, meaning they have both a magnitude and a direction.Both expressions are capable of being zero, positive, or both.
What are the parallels and differences between acceleration and velocity?The rate at which in displacement is known as velocity.The rate at which velocity changes is called acceleration.Due to the fact that it includes both magnitude and direction, velocity is an vector quantity.As the rate at which velocity changes, acceleration is likewise a vector quantity.
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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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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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two objects, t and b, have identical size and shape and have uniform density. they are carefully placed in a container filled with a liquid. both objects float in equilibrium. less of object t is submerged than of object b. which of the following statements is true
The correct statement about the given two object when placed in a container is b)Object B has a greater density than object T. So, correct option is b.
At the point when an item stay balance while lowered, its gravity should be equivalent to the lightness force, which is equivalent to the fluid weight dislodged by the lowered volume:
[tex]V_s[/tex]ρ[tex]_l[/tex]g=mg=Vρ₀g
=>[tex]V_s[/tex]ρ[tex]_l[/tex]=Vρ₀
=>ρ₀=([tex]V_s[/tex]ρ[tex]_l[/tex])/V
where ρ₀,ρ[tex]_l[/tex] are densities of the object and liquid, separately. are the volume lowered and the item volume, separately.
In the event that object B is completely lowered, the thickness of article B is equivalent to the fluid thickness (on the grounds that ).
With respect to protest T as it's just to some extent lowered, the mass of the fluid dislodged is same as mass of article. And keeping in mind that the volume uprooted is just a piece of the entire item volume (), this implies that the fluid thickness is more noteworthy than object T's thickness.
Hence, correct option is b.
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(Complete question) is:
Two objects, T and B, have identical size and shape and have uniform density. They are carefully placed in a container filled with a liquid. Both objects float in equilibrium. Less of object T is submerged than of object B, which floats, fully submerged, closer to the bottom of the container. Which of the following statements is true?
a. Object T has a greater density than object B.
b. Object B has a greater density than object T.
c. Both objects have the same density
A 215-g object is attached to a spring that has a force constant of 77.5 N/m. The object is pulled 7.25 cm to the right of equilibrium and released from rest to slide on a horizontal, frictionless table. Calculate the maximum speed of the object.Find the locations of the object when its velocity is one-third of the maximum speed. Treat the equilibrium position as zero, positions to the right as positive, and positions to the left as negative.
(a) The maximum speed of the object is 1.37 m/s.
(b) The locations of the object when its velocity is one-third of the maximum speed is 5.87 cm.
In easy words, speed is the rate at which some thing actions in a specific direction. For instance as the rate of a vehicle journeying north on a highway, or the rate a rocket travels after launching. The scalar method absolutely the cost value of the rate vector is constantly be the rate of the motion.
Velocity is a vector expression of the displacement that an item or particle undergoes with appreciate to time . The preferred unit of speed value (additionally called speed ) is the meter according to second (m/s). Alternatively, the centimeter according to second (cm/s) may be used to specific speed value.
Maximum speed for the object:
[tex]w=\sqrt{ \frac{k}{m}\\\\\\w=\sqrt{ \frac{77.5}{0.215}\\\\\\\\\\\\\w=\sqrt{ 360.46}\\\\\\\\w=18.98[/tex]
Maximum velocity = ωr
v= 18.98*0.0725
v= 1.37.
Maximum velocity = ωr = 1.37.
The speed of the object at a distance x from its mean position is given as:
[tex]v=w\sqrt{a^2- x^{2} } } \\so,\\ v=x\\x=\sqrt[]{8(*7.25} \\x= 5.87[/tex]
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What are the interactions of sound waves?; What best describes a sound waves?; What are three interactions of sound waves?; What is wave interaction?
1. Sound waves interact with other objects by transmitting energy and causing vibrations. Examples include sound waves reflecting off of walls and objects, sound waves interfering with one another, and sound waves bouncing off of surfaces and producing echoes.
2. Sound waves are waves of pressure that travel through a medium, such as air or water, and can be heard when they reach a person's ear.
3. Three interactions of sound waves include reflection, interference, and reverberation.
4. Wave interaction is the process in which two or more waves interact with each other to produce an effect. This effect can be a change in amplitude, frequency, or direction.
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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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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 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
a flat, circular loop has 17 turns. the radius of the loop is 11.0 cm and the current through the wire is 0.58 a. determine the magnitude of the magnetic field at the center of the loop (in t).
The magnitude of the magnetic field at the center of the loop is 3.31 x 10⁻⁶ T.
What is the magnitude of the magnetic field?The magnetic field is the region of space around which the influence an magnetic force is felt.
Mathematically, the formula for magnetic field at the center of a loop is given as;
B = μ₀I / 2r
where;
μ₀ is permeability of free spaceI is the currentr is the radius of the wireThe magnitude of the magnetic field at the center of the loop is calculated as;
B = ( 4π x 10⁻⁷ x 0.58 ) / ( 2 x 0.11 )
B = 3.31 x 10⁻⁶ T
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The nearly edge-on view of the spiral galaxy shown gives us some clues as to why the level of recent star formation is different between bulges and disks. Consider the type of environment in which new stars form, and use your observations of the picture to choose the statement that best describes why there is more star formation in the disk.
A. There is more cold, dense gas in the disk than in the bulge.
B. It is too bright in the bulge for new stars to form.
C. Stars can only form in flattened disks.
D. There is more hot gas in the disk than in the bulge.
A. There is more cold, dense gas in the disk than in the bulge.
The best statement is option A.There is more cold, dense gas in the disk than in the bulge.
Star-forming regions are concentrated in galaxies with high concentrations of the material that stars are made of: gas and dust. These concentrations of gas and dust can be "pushed" to the point where they collapse to form stars, depending on the type of galaxy and the types of gravitational interactions it may encounter. Gravity pushes gas and dust to form stars more efficiently in spiral arms than in other parts of the spiral galaxy. This is why spiral arms have more star-forming regions and collections of young stars (open clusters) than other parts of a spiral galaxy.
Thus, due to heavy gravity, gas are more cold and dense in the disk.
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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:
What fraction of the 600 g sample of lodine-125 is left after 4 half-lives?
O 1/64
O 1/4
O 1/2
O 1/16
HELP PLEASEEE
Answer:1/64. im glad i could at least try to help lol im in middle school and i just ran through a bunch of articles 4 u
detemine the shear force v and bending moment m at a section of thge loaded beam 200mm to the right of a
The shear force V and bending moment M is 0.15 kN and 0.15 kNm respectively.
What is shear force?
A force acting in a direction parallel to (over the top of) a surface or cross section of a body is known as a shear force. It is determined as the algebraic total of all transverse forces operating on either side of a beam or frame section.
What is bending moment?
A bending moment is the reaction in a structural element caused by an external force or moment that causes the element to bend.
In this question,
Moment about A,
[tex]B_y[/tex] * 0.6 = (6 kN/m * 0.3m) * (0.15m)
[tex]B_y[/tex] = 0.45 kN
Force balance along Y direction,
[tex]A_y[/tex] + [tex]B_y[/tex] = 6 kN/m * 0.3 m = 1.8 kN
[tex]A_y[/tex] + 0.45 = 1.8
[tex]A_y[/tex] = 1.35 kN
At a section 200mm (or 0.2m right of A)
V = [tex]A_y[/tex] - (6*0.2) = 1.35 - 1.2 = 0.15 kN
M = -[[tex]A_y[/tex] * 0.2] + [6*0.2*(0.2/2)] = 0.27-0.12 = 0.15 kNm
The shear force V and bending moment M is 0.15 kN and 0.15 kNm respectively.
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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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How many possible outcomes are there in rolling a spinner 1 to 8?; What is the probability of spin an even number on a 1 to 8 spinner?; What is the probability of getting a prime number in spinner with numbers 1/8 is spun?; How many different outcomes are possible for spinning the spinner and tossing the coin?
The probability of getting a prime number ( 2, 3, 5, 7) between 1 to 8 is 1/2. The total outcomes possible for spinning the spinner and tossing the coin is 16.
What is probability?Branch of mathematics concerning numerical descriptions of how likely an event is to occur is called probability.
Total number of outcomes = 8.
Let, the probability of getting a prime number ( 2, 3, 5, 7) between 1 to 8
P(E) = (no. of outcomes) /( total no. of outcomes)
=4/8
=1/2
When a coin is tossed, there are two possible outcomes that are H(head), and T(tail).
If you spin the spinner , there are 8 possibilities.
Total outcomes = 8 * 2
=16
There are 16 outcomes, when spinning a spinner numbered from 1 to 8 and tossing a coin.
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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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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
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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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.
________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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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 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
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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a man enters a tall tower, needing to know its height. he notes that a long pendulum extends from the ceiling almost to the floor and that its period is 19.7 s.
Time period of the pendulum, T = 19.7 s
The time period of the pendulum is given by :
T = [tex]2\pi \sqrt{\frac{l}{g} }[/tex], l is the length of the pendulum
substituting,
l = 174.32 meters
What is the time period?
Time period (plural time periods) is the amount of time that a behavior lasts or a condition persists. Depending on the type of activity or situation under consideration, it may be measured in seconds or in millions of years.
Hence, the answer is 174.32 m
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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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