The cat increase the kinetic energy of the cat-ring system is 42.4 J.
Mass of the merry-go-round = M = 7.6 kg
Outer radius of the merry-go-round = R2 = 0.9 m
Inner radius of the merry-go-round = R1 = R2/2 = 0.9/2 = 0.45 m
Moment of inertia of the merry-go-round = I
I = 3.8475 kg.m2
Mass of the cat = m = M/4 = 7.6/4 = 1.9 kg
Initially the cat is sitting at the outer edge that is at a distance of 'R2' from the center.
Initial moment of inertia of the system = I1
I1 = I + mR22
I1 = 3.8475 + (1.9)(0.9)2
I1 = 5.3865 kg.m2
Initial angular speed of the system = title=View image!
1 = 7.6 rad/s
Now the cat walks to the inner edge of the merry-go-round therefore it is at a distance 'R1' from the center.
New moment of inertia of the system = I2
I2 = I + mR12
I2 = 3.8475 + (1.9)(0.45)2
I2 = 4.23225 kg.m2
New angular speed of the system =
I = I2
(5.3865)(7.6) = (4.23225)2
= 9.673 rad/s
Initial kinetic energy of the system = E1
E2 = 198 J
Amount by which the kinetic energy of the system increases =
E = E2- E1
title=View image!
E = 198 - 155.6
ΔE = 42.4 J
Amount by which the kinetic energy of the system increases when the cat crawls to the inner edge = 42.4 J.
Kinetic Energy:
Kinetic energy is the energy that an object possesses due to its motion. It is defined as the work required to accelerate an object of specified mass from rest to a specified velocity. After the body acquires this energy during acceleration, it retains this kinetic energy as long as the velocity does not change.
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Assignment 6.3: PRESSURE IN WATER PIPE
Water is flowing smoothly through a closed pipe system. At one point the speed of
water is 3 ms, while at another point 3 m higher, the speed is 4 ms. At lower
point the pressure is 80 kPa. Find the pressure at the upper point.
The pressure of water at the upper point of the closed pipe system is 47,100 Pa.
What is the pressure of water at the upper point?
The pressure of water at the upper point is calculated by applying Bernoulli's equation as shown below;
P₂ = (P₁ + ¹/₂ρv₁² + ρgh₁) - ( ¹/₂ρv₂² + ρgh₂)
where;
P₁ is the pressure at the lower point = 80 kPa = 80,000 Pav₁ is the velocity at the lower point = 3 m/sh₁ is the height at the lower point = 0 mv₂ is the velocity at upper point = 4 m/sh₂ is height at the upper point = 3 m ρ is density of water = 1,000 kg/m³P₂ = (P₁ + ¹/₂ρv₁² + ρg(0)) - ( ¹/₂ρv₂² + ρgh₂)
P₂ = (P₁ + ¹/₂ρv₁²) - ( ¹/₂ρv₂² + ρgh₂)
The pressure of water at the upper point of the closed pipe system is calculated as follows;
P₂ = ( 80,000 + ¹/₂(1000)(3)² ) - ( ¹/₂(1000)(4)² + (1000 x 9.8 x 3) )
P₂ = 84,500 - 37,400
P₂ = 47,100 Pa
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use equation 2 from the lab manual to predict the speed of sound (in m/s) in air at 27o c. never include units with a numerical answer.
The speed of the sound in air at a temperature of 29 degree celsius is 10.9m/s.
The speed of sound at any particular temperature can be calculated by using the formula,
V = √yRT/M
Where,
V is the speed of sound,
y is the adiabatic constant,
R is the gas constant,
T is the temperature and M is the molecular mass.
We can assume the molecular mass of the air to be 29 g/mol.
Also we can assume the year to be a diatomic gas so the value of the adiabatic constant will be 1.4.
Now assigning all the values,
V = √1.4 x 8.31 x 300/29
V = 10.9 m/s.
So, the speed of the sound in the air at a temperature of 27 degree Celsius is 10.9m/s.
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what is the magnitude of the acceleration of a skydiver who is currently falling at one-fifth his eventual terminal speed?
The magnitude of the acceleration of the skydiver will be 9.4m/s²
What is Acceleration?Acceleration is the rate of change in velocity.
It involves a change in speed and direction. When acceleration involves a change in speed only there is; Positive acceleration which occurs when an object speeds up. Negative acceleration occurs when an object slows down. Acceleration is a change of velocity over a period of time, expressed by the equation below.
A=Δv/t
At terminal velocity v, acceleration;
a = g
where,
g = Acceleration due to gravity (9.8m/s²)
ma = mg - m[tex](\frac{1}{2}) ^{2}[/tex]g
a = g(1 - [tex]\frac{1}{25}[/tex])
a = [tex]\frac{24}{25}[/tex]g
a = [tex]\frac{24}{25}[/tex] x 9.8
a = 9.4m/s²
The acceleration of the skydiver who is currently falling at one-fifth his eventual terminal speed is 9.4m/s²
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three identical blocks, X, Y, and Z, hang up from identical strings, as shown in the figure. which of the following free-body diagrams could represent the forces exerted on block Y?
The free-body diagram that could represent the forces exerted on block Y is upward tension force due to block X and downward tension force due to block block Z and its own weight.
option D is the correct answer.
What is free body diagram?A free-body diagram is a sketch of all the forces acting on the given object with all the surrounding objects stripped away and all of the forces acting on the body shown in their respective direction.
For the three identical blocks, X, Y, and Z, hang up from identical strings, as shown in the figure, the following are the direction of the forces acting on the string.
weight of block X -----> acting downwards
weight of block Y ------> acting downwards
weight of block Z ------> acting downwards
According to Newton's third law of motion, acting and reaction are equal and opposite.
As the weight of the blocks are acting downwards, the tension in the rope supporting the weights will be acting upwards.
The total weights of the = downward force of gravity
The tension in the string = upward tension force
The free body diagram is sketched as;
↑ F (Tension Up)
Ф
↓ ↓ F (Gravity) + F (tension down)
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What is the frequency of a red light( red light has a wavelength of 700 nanometers ) ( 1 nanometer: 1*10^9 meters)
When the wavelength is 700 NM, the frequency of red light is 4.29 x 1014 Hz.
What frequency is red light with a 700 nm wavelength?For instance, visible red light with a wavelength of 700 nm has a frequency of 4.29 x 1014 Hz and an energy of 2.84 x 10-19 J or 171 kJ per mole of photons (note that Avogadro's number is 6.02 1023 mol1).
How often does 700 occur?A significant portion of the spectrum that is available for both commercial wireless and public safety communications is the 700 MHz Band. The Band, which spans 108 megahertz of spectrum from 698 to 806 MHz, was created as a result of the switch to digital television.
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the state of stress on a thin-walled cylindrical vessel can be found through equilibrium equations and the assumption that the stresses in the wall thickness have a uniform distribution. summing the forces in the longitudinal direction can obtain the axial stress. this axial stress can be represented by which of the following equations?
In a thin wall pressure vessel, two stresses exist: the longitudinal stress and the hoop stress .
A cylinder is said to be "thin walled" if its radius to thickness (r/t) ratio is at least 10. The internal pressure that is still present in this region of the cylinder is depicted by the pressure field below. The pressure remains steady during the whole cut of the cylinder. Thick wall pressure vessels are determined by the relationship between the mean radius of the vessel and the wall thickness. If this ratio is greater than 10, the vessel is categorized as a thin wall pressure vessel.
A pressure vessel with a thick wall is one in which the ratio is less than 10.
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12. Calculate the potential difference that would be shown by the voltmeters shown in the circuits below. PLEASE ANSWER FAST
Answer: It is D
Explanation:
Divide the potential difference by the current to obtain the wire resistance. 20. Power A circuit has 12 of resistance and is connected to a 12-V battery.
The Ups & Downs of Thermometers (liquid)
Fill in the missing blanks in the paragraph:
The level of the liquid in the thermometer goes (up, down) when (heated, cooled) because molecules are moving (faster, slower) and take up (more, less) space.
Need help? Use this animation (click Hot, Cold & Room Temp. tabs & read text on left)
The level of the liquid in the thermometer goes up when heated because molecules are moving faster, and take up more space.
What is a thermometer?A thermometer is described a device that measures temperature or a temperature gradient. A thermometer has two important elements:
a temperature sensor in which some change occurs with a change in temperature and a sensor which is a medium of converting this change into a numerical value.The purpose of a thermometer is that it is an instrument that measures temperature and can measure the temperature of a solid such as food, a liquid such as water, or a gas such as air.
The working of a thermometer is described as follows:
When the tip of the mercury thermometer touches the material/ or surface it is measuring, the material conducts heat energy to the mercury causing the mercury to expands as it turns into a liquid and begins to rise up the tube. The place where the mercury stops on the scale is where you can take the reading of the temperature.
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2 forces act concurrently on an object. their resultant force has the largest magnitude when the angle between the forces is 0, 30, 90, 180
When the two forces act towards concurrently about an object, then their resultant kind of force will have the largest magnitude so that the angle among the forces is zero. Option (1).
Let θ₁ and θ₂ be two main angles among the the two forces with the direction of motion.
To maintain the motion in indicated direction, the net force will be,
F = cos θ₁ + cos θ₂
= (cos θ₁ + cos θ₂)
= cos [(θ₁+θ₂)/2] cos[(θ₁-θ₂)/2]
The maximum amount of value of the cosine function is always 1, which occurs when its argument will be zero.
Therefore the maximum value of F occurs when
θ₁ + θ₂ = 0
or
θ₁ - θ₂ = 0
Add the two equations to obtain
2 θ₁ = 0 => θ₁ = 0
Also, θ₂ = θ₁ = 0.
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Correct Question:
Two forces act concurrently on an object. their resultant force has the largest magnitude when the angle between the forces is
1. 0
2. 30
3. 90
4. 180
A desktop computer is to be cooled by a fan whose flow rate is 0.34 m^3/min. Determine the mass glow rate of air through the fan at an elevation of 3400 m where the air density is 0.7 kg/m^3. Also, if the average velocity of air is not to exceed 110 m/min, determine the diameter of the casing of the fan. Answers: 0.238 kg/min, 6.3 cm
The mass flow rate to cool the desktop computer s 0.238kg/min and if the average velocity does not exceed 110m/min the diameter of fan casing is 6.3 cm.
What is mass flow rate?
The mass of a substance that moves per unit of time is known as the mass flow rate in physics and engineering. In SI units, it is measured in kilograms per second; in US customary measures, it is measured in slugs or pounds per second. The standard symbol is m (pronounced "m-dot"), though (Greek lowercase mu) is also occasionally used. See, for instance, Schaum's Outline of Fluid Mechanics, where mass flow rate is sometimes referred to as mass flux or mass current.
Since its known to us that;
Flow rate V = 0.34 [tex]m^{3}/min[/tex]
density of air ρ = 0.7 [tex]kg/m^{3}[/tex]
average velocity of air [tex]v_{avg}[/tex]= 110 m/min
Mass flow rate is given by
m = ρ x V
m = 0.7 x 0.34
m = 0.238 kg/min
Since Flow rate can be written as
V = A.[tex]v_{avg}[/tex]
Where A denotes Area of cross-section
0.34 = [tex]\frac{\pi d^{2}}{4}[/tex][tex]v_{avg}[/tex]
0.34 =[tex]\frac{\pi }{4} (d^{2})[/tex] x 110
d = 0.0626 m
d= 62.6 = 63 mm
Thus, we conclude that mass flow rate to cool the desktop computer s 0.238kg/min and if the average velocity does not exceed 110m/min the diameter of fan casing is 6.3 cm.
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the output of the supply must be electrically isolated from the source and must contain some type of switching converter. the system is to use a feedback control to maintain proper output voltage throughout the full range of input voltages and frequencies.
The supply's output must have some sort of switching converter and must be electrically insulated from the source. Throughout the whole range of input voltages and frequencies, the system is to apply a feedback control to ensure proper output voltage.
Voltage, also referred to as electric tension, electric pressure, or (electric) potential difference, is the difference in electric potential between two places. It is equivalent to the labor required to transfer a test charge between two places in a static electric field. The derived unit for voltage in the metric system is referred to as a volt. One volt equals one joule (of work) for one coulomb, which is how to work per unit charge is defined in SI units (of charge). Power and current were employed in the earlier SI definition for the volt; starting in 1990, the quantum Hall and Josephson effect was applied; and most recently (as of 2019), fundamental physical constants were added to the definitions of all SI units and their derivative units.
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list and briefly define the 7 perspective/models of psychology
Cognitive, behavioral, psychodynamic, humanistic, biological, sociocultural, and evolutionary views are the perspective of psychology
How does psychology define and explain it from many angles?There are various psychological perspectives on and explanations for human behavior. When examining how people think, feel, and behave, psychologists draw on a range of views.
4 main psychological viewpoints
Psychoanalytical Viewpoint.Humanistic viewpointPerspective on traits.Social Cognitive Viewpoint.The majority of ideas and studies that aim to comprehend the cognitive, emotional, and behavioral processes that humans encounter on a daily basis are built around these objectives.
Cognitive, behavioral, psychodynamic, humanistic, biological, sociocultural, and evolutionary views are the main ones in psychology that have recently arisen.
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Generally, the maximum static friction force is greater than the kinetic frictional force. In which of these situations is this invalid? None of the other answers is correct since the rule is never violated. One of the bodies is moving with a very low velocity over the surface of the other. The normal pressure is very low. The normal pressure is very high.
None of the other answers is correct since the rule is never violated.(Option A).
Static and dynamic friction, When two systems are in contact with each other and at rest, the friction between them is called static friction. When two systems are in contact and moving relative to each other, the friction between them is called kinetic friction.The force required to induce motion (ie, overcome static friction) is greater than the force required to sustain motion (ie, overcome kinetic friction). Therefore, the sliding friction coefficient (μk) is smaller than the static friction coefficient (μs).
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you are working for seti, the search for extraterrestrial intelligence. one day, you receive a radio communication from an alien intelligence. although you cannot understand their language, they have included some photos from an i love lucy episode. the photos allow you to determine that it is the episode in which lucy makes a television commercial on vitameatavegamin. this episode first aired on cbs on may 5, 1952. before running to your supervisor to tell him the news, you quickly determine how far away in light-years the alien civilization is. (enter the maximum possible distance.)
The maximum possible distance in light-years of the alien civilization that sent the radio communication containing photos from the "I Love Lucy" episode "Vitameatavegamin" is approximately 22.1 light-years.
To determine the maximum possible distance in light-years of an alien civilization that has sent you a radio communication containing photos from the "I Love Lucy" episode "Vitameatavegamin," you can use the fact that light travels at a constant speed of approximately 299,792,458 meters per second.
Since the episode "Vitameatavegamin" first aired on May 5, 1952, the maximum possible distance in light-years of the alien civilization would be the distance that light could have traveled in the time since the episode aired.
To calculate this distance, you can use the following formula:
d = c × t
Where d is the distance in meters, c is the speed of light in meters per second, and t is the time in seconds.
To convert the distance from meters to light-years, you can use the conversion factor 1 light-year = 9.46 x 10^15 meters.
Plugging in the values for the speed of light and the time since the episode aired (70 years), we get:
d = 299,792,458 m/s × (70 years × 365 days/year × 24 hours/day × 3600 seconds/hour)
= 2.09 x [tex]10^{17}[/tex] meters
Converting this distance to light-years using the conversion factor above, we get:
d = 2.09 x [tex]10^{17}[/tex] meters / (9.46 x [tex]10^{15}[/tex] meters/light-year)
= 22.1 light-years
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If a spiral galaxy didn't contain any dark matter at all,
A. its rotation curve would still be flat at large distances.
B. its rotation curve would be decreasing with distance beyond the center of the galaxy.
C. its rotation curve would continue to increase with distance, in correlation to the encircled mass.
B
Its rotation curve would be decreasing with distance beyond the center of the galaxy. Option B.
The stellar mass distribution does not take into account the rotation curve of the galaxy. If a spiral galaxy contained no dark matter at all, its rotation curve would decrease away from the center of the galaxy. This and other evidence have led us to develop our dark matter theory.
Dark matter can only be detected astronomically by its gravitational influence on stars and gases. Dark matter rotates the outer part of the galaxy faster than starlight suggests. This causes the galaxies in the cluster to orbit faster than expected from the combination of galactic starlight. Spiral galaxy rotation curves are the most important tool for determining the mass distribution of spiral galaxies.
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a lightweight rope is wrapped around a 100 lb drum, passes over a frictionless pulley, and is attached to a weight w (see below). the coefficient of friction between the drum and the surfaces is 0.50. determine the maximum amount of weight that can be supported by this arrangement.
The forces that are present when there is physical contact are referred to as the contact force and the forces that are present when there is no physical contact as the field force or non-contact force.
On the hanging weight since it is the constant speed we can assume that object is in equilibrium and
Tension = m*g
Where m = mass and g = acceleration due to gravity
On the drum since it is also moving with constant angular speed net torque on it will be zero.
τ - TR =0
Where τ = torque, T= tension and R= Radius of drum = 0.5 m
Replacing the expression for Tension of the rope in above equation:
τ(torque) = mgR
Solving for m using R = 0.5m, g = 10 m/ s2 and τ = 358 N.m
m = = 179 kg
Therefore the mass is -179 kg of the torque produced by the rope.
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Problem Statement: Two 8-kg blocks A and B resting on shelves are connected by a rod of negligible mass. Knowing that the magnitude of a horizontal force P applied at C is slowly increased from zero, determine the value of P for which motion occurs, and what that motion is, when the coefficient of static friction between all surfaces is (a) js = 0.40, (b) ps = 0.50. Figure: с P 100 mm B 8 kg -200 mm 25° AO 8 kg
In comparison to protons and neutrons, electrons have a very low mass (9.10938356 10 31 kg). An electron weighs about 1837 times as much as a proton, with a mass of (1.67262191027kg). Atoms' nuclei almost entirely account for their mass. There are only protons and neutrons present inside the nucleus.
In physics, what is insignificant?
Negligible refers to the ability to ignore or neglect. There are occasions when a force in physics is so little that its impact on the overall phenomenon is negligible. When you throw an apple up, for instance, the apple draws the earth, yet the earth does not move because the force the apple exerts is very little or inconsequential.
Why is mass so small?
If object A weighs 1 gram and object B weighs 1 kilogram, then object A is said to have a negligible mass in comparison to object B because it weighs so little. In mathematical problems, we typically neglect trivial values to avoid adding complexity.
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An ideal gas with enough molecules to make NkB equal to 5.5 J/K undergoes an isothermal expansion at 475 K .
Part B: How much heat is absorbed by the gas if the final pressure value is such that pfpi= 0.16 ?
0.27 10 23 particles are equal to 6.022 10 23 22.4. Consequently, there are 0.27 1023 molecules in 1 liter of any gas at S.T.P.
What make up an ideal gas' molecules?
The molecules of an ideal gas have no volume.
The molecules of the gas take up volume because they spread out over a broad area of space, whereas the molecules of an ideal gas are modeled as point particles with no volume on their own.
What three premises apply to an ideal gas?
There are four guiding principles that determine if a gas is "ideal": The volume of the gas particles is quite small. The gas particles are of similar size and do not interact with one another through intermolecular forces (attraction or repulsion). The random motion of the gas particles is consistent with Newton's Laws of Motion.
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If you are learning to juggle it would be good to slow the ball's acceleration. You can do this by using: A. Lighter balls B. Heavier balls C. More balls D. None of the above
The answer is None of the above.
What is acceleration?
Acceleration is the rate at which velocity changes over time, both in terms of speed and direction. A point or object travelling in a straight path is accelerated if it accelerates or decelerates.
The acceleration imparted to objects as a result of the combined influence of gravitation and centrifugal force.
During juggling, there is no way to slow down ball's acceleration. Gravity acts as a downward acceleration force as soon as a ball is thrown into the air. The only way a juggler may slow down a pattern is by changing the height of his throws because the acceleration of gravity is constant.
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If an object's velocity is doubled, its momentum isA) halved.B) unchanged.C) doubled.D) quadrupled.E) dependent on its acceleration.
If you increase either mass or velocity, the momentum of the object increases proportionally. If you double the mass or velocity you double the momentum.
what is momentum?
As momentum depends on both velocity and the direction of the body's motion, it is quantified by "mass velocity". Since velocity is a vector and mass is a scalar, momentum is a vector quantity. Mass times speed equals momentum.
"The motion of an item equal to the product of its mass and its velocity" is referred to as momentum. When something is said to have momentum, it refers to its unique mass and direction of motion.
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The dynamo theory states that Earth's magnetic field is created in the ...
The dynamo theory states that Earth's magnetic field is created in the planet's outer core.
The dynamo theory proposes a mechanism by which a celestial body such as the Earth or a star generates a magnetic field.
Dynamo theory describes the process through which a rotating, convecting and electrically conducting fluid acts to maintain a magnetic field. This theory is used to explain the presence of anomalously long-lived magnetic fields in astrophysical bodies.
There are three requisites for a dynamo to operate:
An electrically conductive fluid medium, Kinetic energy provided by planetary rotation, An internal energy source to drive convective motions within the fluid.
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Each metal is illuminated with 400 nm (3.10 eV) light. Rank the metals on the basis of the maximum kinetic energy of the emitted electrons. (If no electrons are emitted from a metal, the maximum kinetic energy is zero, so rank that metal as smallest.) Rank from largest to smallest. To rank items as equivalent, overlap them. The correct ranking cannot be determined.
The metals on the basis of the maximum kinetic energy of the emitted electrons is Cesium > potasium > Beryllium = aluminum = Megnesium = Platinum.
From Einstein photo electic effect equation
E = 3.1 eV
E = Wo+ Kmax
Kmax = E - Wo
For Be: E< Wo, Kmax = 0
There is no emission of photo electron
For K : Kmax = 3.1 -2.3 = 0.8 eV
For Al : E< Wo, Kmax = 0
There is no emission of photo electron
For Mg: E< Wo, Kmax = 0
There is no emission of photo electron
For Cs: Kmax = 3.1 -2.1 = 1.0 eV
For Pt : E< Wo, Kmax = 0
There is no emission of photo electron
Cesium > potasium > Beryllium = aluminum = Megnesium = Platinum
Einstein photo electic effect:
Einstein said that energy is a beam of particles related to frequency according to Planck's formula. When this beam is directed at a metal, photons collide with atoms. If the photon frequency is high enough to knock off an electron, the collision will produce the photoelectric effect.
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the theory that explains why and how continents move is called; the first motion of an earthquake begins at the; tectonic plates are blocks of; the first motion of an earthquake begins at the ______________________; a terrane becomes part of a continent in a process called; why so many earthquakes right now; the most conclusive proof for continental drift was provided by; convection, ridge push, and slab pull work together to produce what?
The theory that explains about the movement of continents is called continental drift. It states that the earth's continents have moved over time, relative to each other.
Earthquake is one of the major natural disasters. It causes a huge loss of life and property around the world. It occurs due to the shaking of the surface of the earth due to the sudden release of energy in the earth's crust. The first motion of an earthquake begins at the focus. It is the place inside the earth's crust where the earthquake originates.
A terrane becomes a part of a continent in a process called accretion.
Alfred Wegener produced evidence in 1912 that continents are in motion but as he could not explain what forces could move them geologists rejected his ideas. Almost 50 years later, Harry Hess confirmed Wegener's ideas by using the evidence of seafloor spreading to explain his statements.
Convection, ridge push and slab pull work together to produce constant plate tectonic motion.
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calculate the acceleration due to gravity on the surface of the sun. you can find the relevant data in appendix c of the text.
Use these uncertainties to estimate the biggest and smallest possible values you could get for gravity:
g (low) = 2h / ( t + Δt )²
g(high) = 2h / ( t - Δt )²
What is a simple definition of gravity?The force that pulls items toward the center of a planet and other entity is called gravity. Each of the planets are kept in orbits around the sun by gravity.
Briefing:First, choose an area where you can dump your small thing. Drop from a height that is sufficient to reduce the relative proportion of time needed to start and stop the stopwatch but not excessive enough to start affecting the outcome due to air resistance One narrative is a decent middle ground.
The fall distance of the object is measured in meters. The entire course uses metric measurements only!
At least twenty times, time the thing falling.
Use the relationship to get the earth's acceleration owing to gravity (derived from calculus))
g = 2h / t2
where t is the median fall time and h is the fall height.
To calculate your random uncertainty, use your spread in t values:
Δt = (largest duration – lowest duration) / 2.
g (low) = 2h / ( t + Δt )²
g (high) = 2h / ( t - Δt )²
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Now use a handle in the middle to make the pipe narrower in the middle. Record the readings of the flux meter: Flow rate: 5000L/s, area: 1.1m2Which of these quantities stayed the same when you change the size of the pipe and why? Please also move the speed gauge around to see how the speed varies at different locations inside the pipe.
Flow rate stayed the same but why...?
The flow rate is given as 5000L/s, which means that 5000 liters of fluid pass through a cross-sectional area of 1.1m2 per second. If the size of the pipe is changed by using a handle to make it narrower in the middle, the cross-sectional area of the pipe will also change.
However, if the flow rate remains the same, it means that the volume of fluid passing through the pipe per unit of time is still constant.
To maintain the same flow rate, the velocity of the fluid must increase as the cross-sectional area decreases, and vice versa. This can be observed by moving the speed gauge around to different locations inside the pipe and measuring the speed of the fluid at those locations.
As the cross-sectional area of the pipe decreases, the velocity of the fluid will increase, and as the cross-sectional area increases, the velocity of the fluid will decrease.
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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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Which unit of measure represents frequency and is expressed as the number of cycles per second?
A. Joule
B. Weber
C. Gauss
D. Hertz
Frequency is measured in Hertz, which is defined as the quantity of cycles per second. The best choice is D. Frequency is measured in hertz, a SI unit (Hz). Hertz is hence the standard symbol for the frequency unit.
The frequency of an event is its repetitions per unit of time. As a contrast to spatial frequency, it is also sometimes referred to as temporal frequency, and as a contrast to angular frequency, it is sometimes referred to as ordinary frequency. The International System of Units' unit of frequency, the hertz, equals one occurrence (or cycle) per second. One hertz equals one second, and the hertz is a SI-derived unit whose expression in terms of SI base units is s.
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A mass oscillates on a spring with a period T and an amplitude 0.48 cm. The mass is at the equilibrium position x = 0 at t = 0, and is moving in the positive direction. Where is the mass at the times (a) t = T/8, (b) t = T/4, (c) t = T/2 and (d) t = 3T/4? (e) Plot your results for parts (a)through (d) with the vertical axis representing position and the horizontal axis representing time.
On a spring, mass oscillates with an amplitude and a time T. at T=3t/4 the mass will be at 0.48cm away from its mean postion.
What is SHM?Simple harmonic motion is described as the periodic motion of a point across a single direction with an acceleration that is always toward a fixed point in that lines and a distance from that point that is proportional to that acceleration.
Briefing:Mass at the time t = 3T/4
Given T=T, A=0.48cm
φ = -π/2 , x=0, t=0
ω = 2π/T
The position of SHM is given by:
x(t) = Acos(ωt+φ)
x(3T/4) = 0.48cos((2π/T)(3T/4)+(-π/2))
x = 0.48cos(π) = -0.48
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there are two equations used to calculate the heat gained/lost by a substance. match each equation to its correct application. heating or cooling during a phase change: q = nΔHochangeheating or cooling within a phase if mass is given: q = msΔT
Phase changes can be accompanied by heating or cooling: q = nHochange, If the mass is known, heating or cooling will occur within a phase. q = msΔT
What does the word "heated" mean?the method or tools used to heat something, especially a building: heating costs/oil/efficiency. A shift in heat is always accompanied by a phase change.
What is heating or temperature?Heat is a measurement of change, never a quality that an item or system possesses. It is categorized as a step input as a result. Temperature can be expressed in Celsius (°C), Kelvin (K), Fahrenheit (°F), or Rankine units and indicates overall average kinetic energy of particles inside a substance or system (R).
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when light passes from a material with a high index of refraction into material with a low index of refraction: is the meaning of?
When light passes from a material with a high index of refraction into material with a low index of refraction, it is the meaning of a)incident angle. So, correct option is a.
Refraction of light is quite possibly of the most regularly noticed peculiarity, however different waves like sound waves and water waves additionally experience refraction. Refraction makes it feasible for us to have optical instruments, for example, amplifying glasses, focal points and crystals. It is likewise a direct result of the refraction of light that we can shine light on our retina.
The refractive file, additionally called the record of refraction, depicts how quick light goes through the material.
The refractive index is dimensionless in nature. For a given material, the refractive record is the proportion between the speed of light in a vacuum (c) and the speed of light in the medium (v). On the off chance that the refractive record for a medium is addressed by n, it is given by the accompanying recipe:
n=c/v
where n is refractive index, c is the speed of light in vacuum and v is the speed of light in other medium.
Hence, correct option is a.
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(Complete question) is:
when light passes from a material with a high index of refraction into material with a low index of refraction: it is the meaning of?
a)incident angle
b)speed of light
c)refraction angle
d)all of the above
