The new frequency of the tightened string is 201.5 Hz.
Let's assume that the strings both start out vibrating at 200 Hz.
The frequency of the tightened string must be slightly higher than 200 Hz in order to produce 3 beats per second. We can calculate the new frequency of the tightened string by using the formula:
Frequency of the tightened string = (frequency of the other string) +/- (3 beats/second ÷ 2)
so,
Frequency of tightened string = 200 Hz +/- (3 beats/second ÷ 2)
Frequency of tightened string = 200 Hz +/- 1.5 Hz
Therefore, the new frequency of the tightened string is 201.5 Hz.
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4. an ambulance approaches you with its sirens blaring. the original frequency of the siren is 3000 hz. you hear the siren at 3273 hz. use 343 m/s as the speed of sound in air. after the ambulance passes you what frequency will you hear the siren at?
If an ambulance approaches you while sounding its sirens, we will listen for it on the 314Hz frequency. The siren's original frequency is 3000 hertz. The siren can be heard at 3273 hertz and use speed of light.
The frequency of an event is its repetitions per unit of time. For clarification, it is sometimes referred to as temporal frequency and is separate from angular frequency. One event occurs every second, or one hertz (Hz), when measuring frequency. Speed must be a scalar variable because there is no directional component. The total distance travelled and the total time needed to travel that distance are used to compute average speed in physics.
frequency = 3000*343/3273
frequency = 314.3 Hz
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George is playing the piano. The note A5 has a frequency of 880 hertz. If the speed of sound at 30°C is
350 meters/second, what is the wavelength of this note at that temperature?
Part A: Enter the variable symbol for the quantity you need to find.
This note's wavelength is 0.3977m at that temperature.Greek symbol is used to represent the wavelength at which the most radiation is emitted (lambda).
A temperature wavelength is defined?Greek symbol is used to represent the wavelength at which the most radiation is emitted (lambda). T stands for the item's temperature in Kelvin, and the constant is 2,897 m. (micrometers).The molecules will vibrate more quickly and at a shorter wavelength at higher temperatures, as shown by the formula max = b / T.Where b = 2.8977719 mmK is the Wien's displacement constant and max is the previously mentioned peak wavelength of light; T is the black body's absolute temperature.Explanation:
Wavelength = 350/880
= 0.3977m.
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Answer:
0.40 meters
Explanation:
When calculated out the wavelength is about 0.40 meters. Calculation is 350 / 880
Drag the tiles to the correct boxes to complete the pairs.
Drag the tiles to the correct boxes to complete the pairs.
Match the descriptions to the processes.
Ice cream starts dripping down the sides of an ice cream cone.
Fog is created by using dry ice.
Frost forms on trees on a very cold day.
The mirror gets fogged up when you breathe on it.
Your wet hair dries after a few minutes.
Liquid glass cools and hardens.
Each of the descriptions should be matched to the processes as follows;
Sublimation → Fog is created by using dry ice.
Deposition → Frost forms on trees on a very cold day.
Condensation → The mirror gets fogged up when you breathe on it.
Melting → Ice cream starts dripping down the sides of an ice cream cone.
Evaporation → Your wet hair dries after a few minutes.
Freezing → Liquid glass cools and hardens.
What is a phase change?In Science, a phase change can be defined as the change in the state (phase) of matter of a given chemical compound or substance. Additionally, some examples of a phase change include the following;
Solid to liquidLiquid to gasGas to solidLiquid to solidGenerally speaking, a change in the state (phase) of matter that results in the release of energy is known as an exothermic reaction and they include the following:
Deposition: such as when frosts are formed on a tree due to low temperatures.Condensation: such as the fog that is formed on a mirror when it is breathed upon.Freezing: such as when a liquid is converted from a liquid state to solid state.In conclusion, other processes that are associated with a change in the state (phase) of matter are sublimation, melting, and evaporation.
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a 0.60 kg ball is moving horizontally with a speed of 5.7 m/s when it strikes a vertical wall. the ball rebounds with a speed of 2.7 m/s. what is the magnitude of the change in linear momentum of the ball?
We can use the following equation to solve this problem:
Δp=m∣Vi−Vf∣(Where p is the momentum change, m is mass, Vi is initial velocity, and
Vf is final velocity)
Substitute the values given to us in the question:
Δp=(0.6)∣(5.7−(−2.7)∣
Δp=4.9 kg.m/s
Final answer: 4.9kg.m/s.
The change in momentum (Δp) is defined as the change in the mass times the velocity of an object. A force is required to change the momentum of an object. This applied force can increase or decrease momentum, or even change the orientation of an object.
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What do you think the average temperature will be this month in paris in degrees celsius?
Paris experiences its warmest weather in July, with an average high temperature of 76°F and low temperature of 58°F. This month in Paris, the average temperature will be in degrees Celsius.
How can you determine the typical temperature?
By adding together the highest and lowest instantaneous temperatures over the course of a 24-hour period and dividing by two, the weather and climate community has traditionally determined the observed daily mean temperature.
What is the global average temperature?
About 57 degrees Fahrenheit is the standard temperature on Earth (13.9 degrees Celsius). That was the average temperature throughout the 20th century, as determined by measurements made over land and water, day and night, according to climate data from the National Oceanic and Atmospheric Administration (NOAA) (opens in new tab).
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provide one example for conduction, convection, and radiation that you have experience in your daily life.
Answer:
Explanation:
Conduction: touch a hot toaster oven (and get burned!)
Radiation: hold hands near a hot toaster oven to warm them up
Convection: see air above a hot toaster oven appear wavy as it rises
a monochromatic light beam is incident on a barium target that has a work function of 2.50 ev. if a potential difference of 1.00 v is required to turn back all the ejected electrons, what is the wavelength of the light beam? 355 nm 497 nm 744 nm 1.42 pm none of those answers
The wavelength of the light has beam 355 nm.
What is a wavelength?
A wavelength is the measure of a wave's distance from one peak to the next. It is the physical distance between two successive wave crests or troughs, and is usually measured in meters, nanometers, or micrometers. Wavelengths are an important aspect of light, sound, and other types of waves. Wavelengths are often used to describe the properties of these waves such as their color, pitch, and intensity. Wavelengths are also related to the frequency of a wave, with shorter wavelengths associated with higher frequencies and longer wavelengths associated with lower frequencies.
The wavelength of the light beam can be calculated using the equation λ = h/eV, where h is Planck's constant, e is the charge of an electron, and V is the potential difference in volts.
For this question, the wavelength of the light beam is therefore λ = (6.626 x 10-34 Js)/(1.602 x 10-19 C x 1 V) = 4.13 x 10-7 m or 355 nm.
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Ravi uses two lenses A and B of same size and same material as shown. P1 and P2 are the powers of A and
B. An object is kept at the same distance from the lens between F and 2F of each lens on the principal axis
in turn. Let I1 and I2 be the image formed by two lenses respectively. What is the relation of image distances
of both lens ?
please help me fast
The relationship between image distances and object distances for a lens is given by the lens formula: 1/I = 1/f - 1/u, where I is the image distance, f is the focal length of the lens, and u is the object distance.
How to cause image formation in lenses?In the given scenario, the object is kept at the same distance from both lenses A and B, which is between F and 2F of each lens. The image distances I1 and I2 will be different for the two lenses because the focal lengths of the lenses are different, as represented by the different powers P1 and P2.
We can use the lens formula to find the relationship between the image distances of the two lenses.
For lens A: 1/I1 = 1/f1 - 1/u
For lens B: 1/I2 = 1/f2 - 1/u
Where f1 and f2 are the focal length of lenses A and B respectively.
As we know that the object distance is same for both lenses, we can subtract these two equations to get the relationship between I1 and I2.
1/I1 - 1/I2 = 1/f1 - 1/f2
This equation shows that the relationship between the image distances of the two lenses is determined by the difference between the focal lengths of the lenses. If the focal lengths of the lenses are equal, the image distances will also be equal. But if the focal lengths are different, the image distances will also be different.
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a 1.2 kgkg book is lying on a 0.77 mm -high table. you pick it up and place it on a bookshelf 2.0 mm above the floor. part a part complete during this process, how much work does gravity do on the book?
When a 1.2 kg book is lying on a 0.77 mm -high table and place it on a bookshelf 2.0 mm work done by gravity is 14.39 joule.
mass=1.2
h1=0.77mm
h2=2.0 mm
g=9.8m/s^2
work done= mgh2-h1
work done=1.2×9.8(2.0-0.77)
work done=14.39 joule
An external force must focus at least a portion of its energy in the direction of the displacement when moving an object over a distance. In physics, this is referred to as work. Work can be calculated if the force acting along the path is constant by multiplying the force's component by the length of the path. Mathematically, the work W is defined as the sum of the force f and the length h, or W = mgh. If the force is applied at an angle to the displacement, the work is W = mas.
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Do you expect an echo to return to you more quickly or less quickly on a hot day, as compared to a cold day?
more quickly on a hot day
equal times on both days
more quickly on a cold day
Answer:-An echo is heard sooner on a hot day because the speed of sound in air increases with temperature. So the speed of sound in air is more on a hot day, and an echo is heard sooner. The velocity of sound in a gas is directly proportional to the square root of its absolute temperature (v=MρRT ). Since, temperature of a hot day is more than cold winter day, therefore sound would travel faster on hot summer day than on a cold winter day. A reduction in pulse-echo amplitude was observed at all temperatures in the range and was found to be proportional to temperature increase. Sound wave speed is dependent on air temperature. Sound waves move faster in warmer temperatures and slower in colder temperatures. During the day, temperatures are warmest near the surface and cool off with height. This is known as a lapse rate. Due to the high energy of atoms on a hot day, sound travels faster compared to a cold day, where atoms don't have much energy to vibrate freely. Therefore, an echo will return more quickly on a hot day than on a cold day.
what if? if the hole is 10.0 m above the ground and the water is projected horizontally from the hole, how far (in m) from the base of the tank would a bucket have to be initially placed to catch the water from the leak?
The correct response is 1.428 velocity through orifice v2 = 2 gh v2 = 2 * 9.8 * 17 v = 18.254. initially
The amount of time it takes to get to the ground is initially
t=g 2 = 9.8 2100 =4.51s.
b) The horizontal distance before touching the ground, x=ut=204.5=90m c) The constant horizontal velocity over the frequency,
At "A," V x = 20 m/s, and V y = u+at= 0 + 9.8 4.5 = 44.1 m/s
Final velocity is equal to v r= (4.41) + (20) 2 =48.42 m/s tan, which is equal to x V y= 204.41 =2.205 =tan 1.428.
Water is inside a cylinder that is exposed to the atmosphere and is standing upright on a table. Although the side of the cylinder has three holes Speed of outflow at point D is equal to (2gD) length of time it takes to get there
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the microwaves in a certain microwave oven have a wavelength of 12.2 cm. how wide must this oven be so that it will contain five antinodal planes of the electric field along its width in the standing wave pattern?
The frequency of the antinodal planes is f = 3 × [tex]10^1^1[/tex] hz
Given, the wavelength is 12.2 cm = 0.122 m
The number of antinodal planes of the given electric field considered is given to be n = 5
The width can be mathematically represented as ;
l = nλ/ 2
l = 5 X 0.122/ 2
l = 0.305 m
The frequency of the errors made is mathematically represented as:
f = c / k
λk = wavelength of the microwave
this is equal to 0.122 X 0.02/ 5/2
λk = wavelength of the microwave = 0.122 X 0.02/ 5/2
so thus f = 3 X 10^8/ 0.000976
f = 3 × [tex]10^1^1[/tex] hz
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a negative point charge is at the center of a hollow insulating spherical shell, which has an inner radius and an outer radius . there is a total charge of spread uniformly throughout the volume of the insulating shell, not just on the surface. what is the electric field at postion r away from the center? use as the electric constant.
The electric field at position r away from the center is E = Q / 4ε₀[tex]\pi[/tex][tex]r^{2}[/tex]
An electric field can be thought of as the electrical property associated with every point in space where charge in any form is present.
An electric field is also described as the electric force per unit charge.The electric field formula is given as; E = F/QWhere,
E is the electric field.
F is force.
Q is the charge.
The electric field is easily found using Gauss's law, which states that the total electric flux from a closed surface is equal to the enclosed charge divided by the permittivity. Mathematically, [tex]\int\limits {E} \, ds[/tex] = (1/ ε₀) * qThe magnitude of the electric field can be determined using the Coulomb force F on the test charge q.
Mathematically, E = Q / 4ε₀[tex]\pi[/tex][tex]r^{2}[/tex]If the field is created by a positive charge, the electric field will point radially outward, and if the field is created by a negative charge, the electric field will point radially inward.The electric field at position 'r' away from the center is E = Q / 4ε₀[tex]\pi[/tex][tex]r^{2}[/tex].
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a microscope stage must have an opening. true or false please guys answer nicely i really need my answer
Indeed, a microscope stage needs to have a hole in it. There must be an aperture in the microscope stage. Only clean lenses for microscopes should be cleaned using lens tissue.
Microscope Stages: There are many different types of microscope stages, each of which is created to serve a particular function. Stages with supplementary tools for handling samples while being observed are among them. The lens is a component of the human eye's anterior portion. The iris, which sits in front of the lens and controls how much light enters the eye, controls light refraction. The lens's suspensory ligament, a ring of fibrous tissue that joins the ciliary body to the lens at its equator, holds the lens in place. The vitreous body is located behind the lens.
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a crate is pulled to the right with a force of 78.4 n, to the left with a force of 229.2 n, upward with a force of 345.9 n, and downward with a force of 248.9 n. what is the net external force in the x direction? answer in units of n.
Net external force in the x- direction=--140.8 N
Briefly:-We are given that
F1= 78.4 N(right)
F2= 229.2 N(left)
F3= 345.9 N(upward)
F4= 248.9N (downward)
We have to find the net external force in the x- direction.
Net external force along x- direction=Fx=F1-F2
229.2-78.4=-140.8 N
Net external force along y- direction=Fy=F3-F4
=345.9-248.9
=97 N
Hence, net external force in the x- direction=--140.8 N
What is a good illustration of a net external force?Consider the scenario when a body is simultaneously being dragged down by its weight and lifted by a lifting force. The vector sum of the lifting force and the weight represents the net force applied on that object.
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In a transformer, there is a primary voltage of 70V and a secondary voltage of 210V. Which statement best describes this transformer?
It’s a step-up transformer because the secondary voltage is greater than the primary voltage.
It’s a step-up transformer because the primary voltage is greater than the secondary voltage.
It’s a step-down transformer because the secondary voltage is greater than the primary voltage.
It’s a step-down transformer because the primary voltage is greater than the secondary voltage.
The transformer having a primary voltage of 70 V and a secondary voltage of 210 V is a step-up transformer (1st option)
What is a transformer?This is a device tthat transfers electrical energy either by steping-up or steping-down voltage.
Generally, there are two main types of transformer:
Step-up transformerStep-down transformerIn step-up transformer, secondary voltage is higher than the primary voltage
In step-down transformer, primary voltage is higher than the secondary voltage
With there above information in mind, we can conclude that the correct anwer to the question is:
It’s a step-up transformer because the secondary voltage is greater than the primary voltage (1st option)
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a solenoid 5 cm in radius and 5 m in length has 8000 uniformly spaced turns and carries a current of 3 a. consider a plane circular surface with radius 2 cm located at the center of the solenoid with its normal axis coincident with the axis of the solenoid. what is the magnetic flux through this surface? (recall that 1
The magnetic flux through this surface is 7.5 × [tex]10^{-5}[/tex] Wb, for the solenoid with the given radius and length carrying a current of 3 Amperes.
What is Magnetic flux?
The surface integral of the normal component of the magnetic field B over a surface is known as the magnetic flux through that surface. The standard notation is Φ or ΦB. The weber is the SI unit for magnetic flux, and the maxwell is the CGS unit.
Calculation:
It is given that,
Radius of the solenoid, r = 5 cm = 0.05 m
Length of the solenoid, L = 5 m
No of turns, N = 8000
Current, I = 3 A
The radius of the circular plane surface, r' = 2 cm = 0.02
Area of the circular surface,
A = π × r² = π × (0.02)²= 0.00125 m²
The magnetic flux through this surface is given by :
∅ = B × A
B is the magnetic field of the solenoid,
∅ = μ₀ × N/L × I × A
∅ = 4π × [tex]10^{-7}[/tex] × 8000/5 × 3 × 0.00125 m²
∅ = 7.5 × [tex]10^{-5}[/tex] Wb.
Hence, the magnetic flux through this surface is 7.5 × [tex]10^{-5}[/tex] Wb, for the solenoid with the given radius and length carrying a current of 3 Amperes.
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When running at its operating speed_ 220- dc motor with an armature whose resistance What series resistance would be requlred to Iimit the starting current to 20 A? draws current of 21.0
220-dc motor powered by a 5.3 ohm armature whose resistance is running at its operating speed the series resistance would be necessary to keep the initial current under 20 A
Distance travelled in a unit of time is referred to as speed. It is the rate of movement of an object. Speed is a scalar quantity and the velocity vector's magnitude. There is no clear direction to it. An object is travelling more quickly if its speed is higher. Slower motion is indicated by a lower speed. In simple words, we define speed or velocity as the distance travelled in a specific amount of time. If an automobile is driving faster if its speed is higher. A slow vehicle has less speed, as we say. if an object moves quickly.
Req = R + r = 2 + r
Req = V/I2 + 2 + r = 220/30 60 + 30 r = 220 30 r = 160 r = 5.3 ohm
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the energy between adjacent vibrational levels in diatomic nitrogen is 0.293 ev. what is the vibration frequency f of n2? answer in units of hz.
The energy between adjacent vibrational levels in diatomic nitrogen is 0.293 ev.the vibration frequency f of n2 is 7.07 × 10 13 H z.
What is Vibrational Energy Levels diatomic molecule?Vibrational Energy Levels The vibrating of the two atoms around the molecule's centre of mass produces a single set of vibrational energy levels in a diatomic molecule.Molecule Rotation and Vibration: A molecule's vibrational motion and vibrational energy levels are dictated by its electronic energy function. The assumption that the force between the atoms of the molecule is proportional to the displacement of the internuclear distance from its equilibrium value r underlies the simplest explanation of the vibrational motion of a diatomic molecule. This explanation is based on the approximation of the energy curve in the vicinity of its minimum by a parabola.To learn more about Vibrational Energy Levels refer to:
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vector a has a magnitude of 10 units and makes an angle of 30 with the horizontal axis vector b has a magnitude of 25 and amkes an angle of 50 with the negative c what is the magnitude of the resultant between the two vectors
The resultant between the two vectors has a magnitude of 25.2 units. Vector b has a magnitude of 25 units, while vector a has a magnitude of 10 and forms a 30 degree angle with the horizontal axis.
In physics, magnitude is referred to as an object's maximal size and direction. Both vector and scalar values use magnitude as a common factor. We know that scalar quantities are those that have magnitude and nothing else by definition. Contrarily, vector quantities are those with both magnitude and direction.
An object's motion from one point to another is described by a vector.
A = 10 B = 25, and TETHA = 180 - 50 - 30 = 100 degrees.
R = (A2 + B2 + 2AB cos(100))1/2, Magnitude of the Resultant
R = (100+625+2*10*25*cos(100)^1/2
R = 25.2 units
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astronomers can characterize a planet's atmosphere in absorption via group of answer choices transits only transits and the doppler method the doppler method direct imaging astrometry and the doppler method
Astronomers can characterize a planet's atmosphere in absorption via Optioin d. astrometry and the doppler method
For transiting planets, astronomers can obtain valuable information about the atmosphere, surface temperature, and size of the planet. For most Sun-like stars, an orbiting planet that is itself the size of a brown dwarf only reduces the star's brightness to a few percent or less during transit.
Most known exoplanets have been discovered using the transit method. A transit occurs when a planet passes between a star and its observer. As Venus or Mercury moves between us and the Sun, transits within the solar system can be observed from Earth.
A transiting exoplanet's atmosphere can be observed backlit by the star as it passes its host star. Additional atmospheric observations can be made by watching exoplanets disappear and reappear behind their stars.
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Disclaimer:- your question is incomplete, please see below for the comlete question.
Astronomers can characterize a planet's atmosphere in absorption via group of answer choices
a. transits only
b. transits and the doppler method
c. the doppler method direct imaging
d. astrometry and the doppler method
In Newton's second law, F = ma, the mass m is an inertial mass. True or false?
It is True since mass m is an inertial mass.
Mass at rest. This is mostly explained by Newton's law, the all-too-famous formula F = ma, which asserts that an object will accelerate proportionately to the force F applied to it, with the mass of the object serving as the constant of proportion. In very simple terms, you may calculate the inertial mass by applying a force of F Newtons to an object, measuring the acceleration in m/s2, and then multiplying that value by the acceleration to get the inertial mass m in kilograms. It's also intriguing to note that there is no physical distinction between inertial mass and gravitational mass. The values have been verified by numerous trials, and the results have consistently agreed with the margin of error for the experiments
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Water used for dialysate must be treated because dialysis patients?
Dialysis patients are exposed to huge amounts of water during dialysis, hence water used for dialysate must be treated. the liquid and dissolved substances in a dialysis procedure that just pass through the dialyzer.
Additionally, as they cannot travel through the semipermeable membrane, they are thrown together with the harmful compounds that have been removed once the water has returned from the Dialysis. Dialysis patient with excessive fluid intake. Fluid overflow or hypervolemia is the medical term for having too much water in your body. Fluid homeostasis in the body is one of the kidneys' primary roles. A buildup of excess fluid in the body can have negative impacts on your health, including breathing problems and swelling.
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a 46 g marble moving at 1.9 m/s strikes a 23 g marble at rest. assume the collision is perfectly elastic and the marbles collide head-on. part a what is the speed of the first marble immediately after the collision?
The speed of the first marble immediately after the collision (assuming it is a perfectly elastic collision) is 0.63 m/s.
In physics, an elastic collision is an encounter between two bodies in which the total kinetic energy of the two bodies remain the same. In an ideal, perfectly elastic collision, there is no net conversion of kinetic energy into other forms such as heat, noise, or potential energy.
How to calculate the speed of the first marble after the perfectly elastic collision?
The formula for a perfectly elastic collision as follows :
M₁ * U₁ + M₂ * U₂ = M₁ * V₁ + M₂ * V₂
1/2 * M₁ * U₁² + 1/2 M₂ * U₂² = 1/2 M₁ * V₁² + 1/2 M₂ * V₂²
Where
M1 = mass of first marble
M2 = mass of second marble
U1 = initial speed of first marble
U2 = initial speed of second marble
V1 = speed of first marble after collision
V2 = speed of second marble after collision
From the question given :
M₁ = 46g
M₂ = 23g
U₁ = 1.9m/s
U₂ = 0m/s
V₁ = (M₁ - M₂ / M₁ + M₂) * U₁ + (2M₂ / (M₁ + M₂)) * U₂
= (46 - 23 / 46 + 23) * 1.9 + 0
= 0.63 m/s (rounded)
Therefore, the speed of the first marble after its perfectly elastic collision will be 0.63 m/s.
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A 0.5 kg ball has a velocity of 20 m/s.
a. What is the kinetic energy of the ball?
B. How much work would be required to stop the ball
The kinetic energy of the ball is 100j
100j of work would be required to stop the ball.
What is Kinetic energy?Kinetic energy is a form of energy that an particle has by reason of it's motion.if we accelarate a object we must apply a force.
Here the mass (m) is 0.5 kg
It's velocity (v) is 20 m/s
The kinectic energy is
KE = 1/2 mv^2 = 1/2(0.5)20.20= 100 J
Again the workdone to stop it is calculated by work energy theorem
Change in KE = workdone
Or 100 J - 0 J or 100 J needed to stop the ball.
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find the moment of inertia of a cone with respect to its axis if the radius is .6 and its height is .8 and its mass is 3 grams g
Based on the equation, its inertia moment of a cones is 32.4 when regard to its axis.
What is mass and example?The best way to grasp mass is the amount of material that any item or body is made of. There is mass in just about everything we are able to see. A seat, a chair, a bed, a ball, a glass, and even air are examples of items with mass. Whether anything is heavy or light depends on its mass.
What is mass of a matter?Simply put, mass is indeed a measurement of a body's amount of matter. Matter is everything that has both volume and mass. Although mass cannot be seen, it can be quantified or quantified. Not all matter is visible.
Briefing:This following formula can be used to represent the inertia moment of a solid cone;
I = 3 MR2/ 10
= 3*3*6²/10
=32.4
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you are given two carts, a and b. they look identical, and you are told that they are made of the same material. you place a at rest on an air track and give b a constant velocity directed to the right so that it collides elastically with a. after the collision, both carts move to the right, the velocity of b being smaller than what it was before the collision. what do you conclude? 1. cart a is hollow 2. need more information 3. cart b is hollow 4. the two carts are identical
Cart a's final momentum is greater than Cart b's final momentum, while Cart b's initial momentum is greater than Cart a's initial momentum.
The parameters provided;
m1 = the mass of the first cart
m2 = b, the mass of the second cart
u1 = 0 is the initial velocity of the first cart.
u2 is the beginning velocity of the second cart.
According to the concept of conservation of linear momentum, the sum of the initial and final momentum must be equal.
The two carts' initial momentum:
Pbi > Pai
The final momentum of the two carts;
Paf > Pbf
Use linear momentum conservation;
Pai + Pbi = Paf + Pbf
As a result, we can conclude that cart a's final momentum is greater than cart b's final momentum.
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two masses, a and b, are attached to different springs. mass a vibrates with amplitude of 8.0 cm at a frequency of 10 hz and mass b vibrates with amplitude of 5.0 cm at a frequency of 16 hz. how does the maximum speed of a compare to the maximum speed of b
Because A and B have maximum speeds of 5.024 m/s and 5.024 m/s, respectively, and because their two masses, a and b, are attached to different springs, both A and B have the same speed.
The speed of an object, also known as v in kinematics, is a scalar quantity that refers to the size of the change in that object's position over time or the size of the change in that object's position per unit of time. The distance travelled by an object in a time interval divided by the length of the interval gives the average speed of the object during that interval.
Vmax for A is 2 * pi * (10) * (0.08) = 5.024 m/s.
Vmax for B = 2*pi*(16)(0.05), which equals 5.024 m/s
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When amplitude increases, wavelength _____________ (increases, decreases, stays the same).
Answer: the wavelength decreases
Explanation:
As long as frequency and wave speed is consistent, wavelength remains constant.
Extreme amplitude changes can affect the wavelength by changing the wave speed. Think of waves in a string, for instance. The string is stretched when the amplitude is very high; as a result, the average tension is higher, increasing the wave speed and shortening the wavelength.
Without necessarily altering the fundamental frequency, adjusting the amplitude also adds additional frequencies.
A metal sphere with a mass of 0.026 kg rolls along a friction-less surface at 3.7 m/s and strikes a stationary sphefe having a mass of 0.050 kg. The first sphere stops completely. The spheres are in contact for 0.007s before the second sphere is shot off down the track. What is the force applied to the second ball?
The force applied to the second ball by the first ball is 6.734 × 10^-4 N.
What is impulse of force?The impulse of force is defined as the sum of the average force and the duration it is applied.
If the mass of the item remains constant, the impulse of force equals the change in momentum of the object.
Given that: mass of a metal sphere: m = 0.026 kg.
Initial speed of the sphere: u = 3.7 m/s.
When the sphere stops completely, its change in momentum = mu - 0
= 0.026×3.7 N-s.
= 0.0962 N-s.
As the spheres are in contact for 0.007s before the second sphere is shot off down the track, the force applied to the second ball =
change in momentum of 1st ball × time of contact
= 0.0962 × 0.007 N
= 0.0006734 N
= 6.734 × 10^-4 N.
Hence, the force applied to the second ball is 6.734 × 10^-4 N.
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