The graphical representation of a vector has its tail at the origin of a two-dimensional coordinate system. Both the horizontal and vertical components are negative. The tip of the vector lies in the third quadrant.
A vector quantity represents two independent quantities. They are magnitude and direction. It can be represented as a directed line segment, whose length is the magnitude of the vector and an arrow that indicates the direction. The direction is generally represented from its tail to the head.
The cartesian coordinate system has four quadrants. In first quadrant, the components of both x and y are positive. In second quadrant, the component of x is negative and y is positive. In third quadrant, the component of x is negative and y is negative. In fourth quadrant, the component of x is positive and y is negative.
Here, it is said that both horizontal and vertical components are negative. This means that the vector lies in the third quadrant.
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A 3.40 kg cylindrical rod of length 2.00 m is suspended from a horizontal bar so it is free to swing about that end. A solid sphere of mass 0.25 kg is thrown horizontally with a speed v1 = 13.0 m/s to hit the rod at the point A one-fifth of the way up from the bottom of the rod. The sphere bounces back horizontally with a speed v2 = 9.50 m/s, while the rod swings to the right through an angle theta before swinging back toward its original position. What is the angular velocity, in rad/s, of the rod immediately after the collision?
The angular velocity, in rad/s, of the rod of length 2.00 m is suspended from a horizontal bar so it is free to swing about that end immediately after the collision is 0.29 rad /s
p = m v
Initially,
p = 0.25 * 13
p = 3.25 kg m / s
Finally,
p = 0.25 * 9.5
p = 2.375 kg m / s
The point where the ball hits the rod,
r = 4 / 5 * 2
r = 1.6 m
Moment of inertia of a rod at a point,
I = Icm + M r²
I = M L² / 12 + M r²
I = ( ( 3.4 * 2² ) / 12 ) + ( 3.4 * 1.6² )
I = 1.13 + 3.7
I = 4.83 kg m²
According to law of conservation of angular momentum,
Initial momentum of ball + Initial momentum of rod = Final momentum of ball + Final momentum of rod
( 3.25 * 1.6 ) + 0 = ( 2.375 * 1.6 ) + 4.83 ω
4.83 ω = 5.2 - 3.8
ω = 1.4 / 4.83
ω = 0.29 rad / s
Therefore, the angular velocity, in rad/s, of the rod immediately after the collision is 0.29 rad /s
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the pressure in car tires is often measured in pounds per square inch ( lb/in.2 ), with the recommended pressure being in the range of 25 to 45 lb/in.2 . suppose a tire has a pressure of 39.5 lb/in.2 . convert 39.5 lb/in.2 to its equivalent in atmospheres.
The pressure will become 2.68 atm when expressed in atmospheres.
How do we convert from unit to another ?The act of shifting a quantity's measurement between two units of measurement is known as unit conversion. Usually, multiplicative conversion factors are used, which change the value of the measured amount without altering its effects.
The metric system typically requires moving a decimal point in order to translate from one unit to another.
The given data is 39.5 [tex]lb/in^2[/tex]
we have to convert it into atmospheres
The pressure is :
39.5 [tex]lb/in^2[/tex] × [tex]\frac{1 atm}{ 14.7 lb/in^2}[/tex]
because the conversion factor is 14.7 [tex]lb/in^2[/tex]
thus the given pressure becomes ;
Pressure = 2.68 atm
The pressure will become 2.68 atm when expressed in atmospheres.
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Velocity of propagation In an experiment to illustrate the propagation of sound through fluids, identical sound sources emitting at 440 Hz are used to propagate sound waves through mercury and through ethanol. Medium Speed of sound Ethanol Mercurv (m/s) 1,160 1,450 1) Which of the following statements is correct, assuming that the dampening effect in each medium is negligible? In mercury, the frequency of the wave is the same as in ethanol, but the wavelength is greater. In ethanol and mercury, the wavelength of the wave is the same, even if the speed of sound is different. Submit (Survey Question) 2) Briefly explain your answer to the previous question.
The waveform in mercury has the same velocity as the wave in ethanol, but it has a longer wavelength.
What, for example, is velocity?Its velocity is the speed at which something moves in one side or another. as quickly as an automobile driving north on an expressway or as quickly as a rocket lifting off. Since the velocity vector is a scalar, its absolute value is always equal to the speed of the motion.
Can velocity reverse itself?An object's velocity is the rate at which its position changes over time (displacement). While velocity, which incorporates both speed and direction, can be either favorable or unfavorable, speed can only be good.
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Which of the answer choices best describes the structure and properties of ionic compounds?
Select all that apply.
Olonic compounds are best represented with the ball-and-stick model.
The bonds of ionic compounds are resistant to water's properties.
The structure of ionic compounds resembles a three-dimensional network.
Olonic compounds have high melting and boiling points.
A substance made up of both positive and negative ions is referred to as an ionic compound.
What is Ionic compound?A chemical molecule known as an ionic compound is made up of ions that are bound together by electrostatic forces, commonly known as ionic bonding. The molecule is neutral because it has both positively and negatively charged ions.Ionic compound characteristics include.Booking and high melting point.Use water to dissolve, not an organic solvent.when dissolved in water, conduct electricity.NaCl, NaI, and more examples come to mind.The ionic compound's structure and characteristics are described by the following:Ionic chemicals have a structure that resembles a three-dimensional network.Higher melting and boiling points are found in ionic substances.To Learn more About ionic compound refer to :
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When red light is directed normal to the surface of the soap film, the soap film appears black in reflected light. What is thinnest the film can be? let λ0 be the wavelength of red light in air.
The thinnest film of λ₀/2 can appear black in reflected light
.
What is distractive interference?When waves combine and totally cancel each other out, destructive interference occurs. Two waves must have the same amplitude travelling in opposing directions in order to interfere destructively.
Nature is home to a variety of fascinating wave phenomena that are not reducible to a single wave. We must look at the phenomenon of destructive interference based on the wave combination. We use the superposition principle, which states the following, to examine these:
The resulting wave function is the algebraic sum of the individual wave functions when two or more waves are passing through a medium.
The condition of distractive interference is: path difference = (m+1/2)λ₀ { where m = 0.1,2,3,.} and λ₀ is wavelength of light.
So, the thinnest film of λ₀/2 can appear black in reflected light.
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complete the concept map to describe how electrical events at the neuromuscular junction result in the mechanical process of skeletal muscle fiber contraction.
The terminal end of a motor nerve and a muscle (skeletal, smooth, or cardiac) form the neuromuscular junction (NMJ), which is a synaptic connection.
It is the location where the action potential is sent from the nerve to the muscle. The NMJ is regarded as a cholinergic synaptic junction that serves as the link between motor neurons and fibers of skeletal muscle. The NMJ should transmit the impulses from the presynaptic motor neurons to the postsynaptic muscle fibers in order to maintain sustained skeletal muscle contraction.
The word "neuromuscular" refers to this process of transmitting the acetylcholine-dependent nerve impulse (action potential) from neuron to muscle. The NMJ, also known as the motor endplate, is made up of synaptic membranes on either side of the presynaptic and postsynaptic membranes.
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A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized.
y = 0 + 1x + 2x2 +
where
y = traffic flow in vehicles per hour
x = vehicle speed in miles per hour
The following data were collected during rush hour for six highways leading out of the city.
Traffic Flow (y) Vehicle Speed (x)
1,257 35
1,330 45
1,226 35
1,336 50
1,350 55
1,124 25
Enter negative values as negative, if necessary.
Show the estimated regression equation (to 3 decimals, if necessary).
= + x + x2
What is the value of the coefficient of determination (to 3 decimals)? Note: report R2 between 0 and 1.
What is the value of the F test statistic (to 2 decimals)?
What is the p-value?
Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 6
Using = .01, what is your conclusion?
SelectConclude a curvilinear relationship exists for traffic flow and speedCannot conclude a curvilinear relationship exists for traffic flow and speedItem 7
Predict the traffic flow in vehicles per hour for a speed of 39 miles per hour (to the nearest whole number).
A highway department is studying the relationship between traffic flow and speed. Traffic flow is the movement of individual drivers and vehicles between two points, as well as their interactions with one another.the value of the coefficient of determination is R− sq = 0.984
Speed is one of the basic parameters of traffic flow, and the two representations of speed are time mean speed and space mean speed. Enter data in excel. Make new column for values x2.,Now click on Data->Data Analysis and select regresion. In y data range, give range of y values. In x data range, give range of x and x2 values. Click ok.
From the above output:
The estimated regression equation is: y = 612.223+26.215x0.233.x
The coefficient of determination is: R− sq = 0.984
The F test statistic is: F= 90.14
The exact p-value is 0.0021. Therefore, correct option is: less than 0.01.
Can conclude a curvilinear relationship exists for traffic flow and speed because p-value is very small.
When x = 39
y =612.223 + 26.215(39)-0.233(39)2: 1280.58= 1281
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a spherical snowball is melting. its radius is decreasing at 0.1 cm per hour when the radius is 15 cm
The decreasing radial function has Q= 6.556994.
Given-
Radius of the snowball decreases as the function is decreasing.
The rate is -0.1cm per hour , i.e. 0.01m per hour.
Radial distance of the quadrupole is 15cm , i.e. 0.15m.
[tex]Q=k\frac{1}{\sqrt{4\pi \alpha x} } +Ky^2\\\\Q=\left \{ {{K=0} \atop {y\neq 0}} \right.[/tex]
[tex]Q=k\frac{1}{\sqrt{4\pi \alpha x} }[/tex]
The dipole moment of the snowball has shift or rise in the function.
This is rise in dielectric constant.
x=0.15m
α=0.1
k=9
Calculations-
Q=9 (1/√4x3.14x0.15
Q=9/√1.884
=9/1.37258
Q=6.556994
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an object is moving with uniform circular motion. does the centripetal force do any mechanical work on the object? group of answer choices
If an object is moving with uniform circular motion, the mechanical work on the object due to centripetal force is zero
W = F d cos θ
W = Work done
F = Force
d = Distance
θ = Angle between force and displacement vector
In a circular motion, the centripetal force acts towards the center of the motion at any point in its motion.
The radial displacement at any point in the motion is tangential to the direction of motion. This means that the force and displacement vector are perpendicular to each other.
θ = 90°
W = F d cos 90°
W = 0
Therefore, if an object is moving with uniform circular motion, the mechanical work on the object due to centripetal force is zero
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a scuba diver is wearing a head lamp and looking up at the surface of the water. if the minimum angle to the vertical resulting in total internal reflection is 25 degrees, what is the index of refraction of the water? assume the index of refraction of air
The index of refraction of the water is equal to 2.37.
What is snell's law?Snell's law can be described as a formula used to describe the relationship between the angles of incidence and angle of refraction, when the light passes through a boundary between two different medium like water, air, or glass.
Snell's law states that the ratio of the sines of the angle of incidence and angle of refraction is equal to the refractive index of the second medium which is equal to the ratio of the refractive indices of the two media
[tex]{\displaystyle {\frac {\sin \theta _{1}}{\sin \theta _{2}}}=n_{21}={\frac {n_{2}}{n_{1}}}={\frac {v_{1}}{v_{2}}}}[/tex]
Given, the angle of incidence, i = 25°
The index of refraction of air, n₂ = 1.00
By using Snell's law, we can find the index of refraction of the water:
[tex]{\displaystyle {\frac {\sin i}{\sin 90}={\frac {1}{n_{1}}}[/tex]
[tex]{\displaystyle n_1 = {\frac {1}{\sin 25}[/tex]
n₁ = 2.37
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what happens if you put water and sugar water next to each other with a membrane in between them? osmosis
Sugar molecules displace water molecules, so when sugar is added to water, the concentration of water decreases.
A solution can be created by dissolving sugar in water. If the solution contains enough sugar, like in a sugar syrup, it will suck water molecules from the food cells, reducing the meal's water activity. Osmosis is the mechanism responsible for this.
Osmosis is thus a particular instance of diffusion, specifically the diffusion of water. Solution two in the illustration above gains water more quickly than it loses sugar. This is due to how quickly water molecules can move through the selectively permeable membrane compared to how slowly sugar molecules can.
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How can your neighborhood be improved?.
Trim any bushes or trees on your property that provide convenient hiding places too.
Prune where trees and bushes block your view of your front door or obscure your view out of your home's windows. Keep your porch visible and make sure your home looks like it has the neighborhood in mind. Keeping our neighborhoods clean is important because unclean neighborhoods attract germs and diseases.
Our neighbors get sick when they aren't. Also, it's better to live in a clean neighborhood than a dirty one. The home and neighborhood in which you grow up influence your health and longevity. A safe tidy stable and affordable home also affect a child's academic performance.
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an object floats in water, with 40 %% of its volume submerged. part a what is its approximate density?
The approximate density = 600Kg/m³
To calculate the density of the object we have to consider volume of the object and the buyoant force.
How to calculate the density of the submerged object?
Let the volume of the object be V
Volume of object under water be Vw
Let Vw = V - 40V/100
Vw = 100V- 40V/100
Vw= 60V/100
Vw= 0.6V
Let P be the density of the object
We know, Buoyant force Fb = Vw×Pw×g
g = acceleration due to gravity
If buoyant force = weight of the object
Then
0.6V × Pwg = PVg
P= Pw× 0.6
Now, density of water = Pw = 1000
P = 1000× 0.6
P = 600 Kg/m³
Hence, density of object = 600 Kg/m³
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From a scientific perspective, which of the following statements about life elsewhere in the universe is best supported by current evidence?
the government has evidence (which it is not releasing) that there is at least one other intelligent life form on a planet orbiting another star
we only have evidence that life exists around three other stars
while we have evidence of the building blocks of life elsewhere in the universe, we have no definite evidence about life around other stars at this time
there is no evidence for intelligent life anywhere, even on Earth
we have good evidence that life exists on many planets around other stars
while we have evidence of the building blocks of life elsewhere in the universe, we have no definite evidence about life around other stars at this time
The first statement describes better how life is possible elsewhere other than on earth.
The James Webb Space Telescope, launched in 2021, could get the primary glimpses: the mix of gases in the atmospheres of Earth-sized exoplanets. Webb, or a similar spacecraft within the destiny, ought to pick up symptoms of an environment like our personal – oxygen, carbon dioxide, methane. A sturdy indication of life.
In the new article led by using Jim inexperienced, the company's chief scientist, a NASA institution gives a pattern scale to apply as a starting point for discussions amongst absolutely everyone who could use it, together with scientists and communicators. They envision a scale knowledgeable with the aid of many years of experience in astrobiology, an area that probes the origins of life on the earth and opportunities of living someplace else.
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how can you experience a black body in practice?
We can easily experience black body in practical.
What is black body?
A black body or blackbody is the an idealized physical of the body that absorbs all to the incident of a electromagnetic radiation, regardless of frequency or angle of incidence. The probability is a name "black body" is given because it is absorbs all colors of light. A black body also emits the black-body radiation.
A body which completely absorbs all heat radiation incident on it is called perfectly black body. A perfectly black body can not be realised in practice but materials like Platinum black or Lamp black come close to being ideal black bodies. Such materials absorbs 96% to 85% of the incident radiations.
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what distance should one speaker be placed behind the other for the sound to have an amplitude 1.90 times that of each speaker alone?
a machine part has the shape of a solid uniform sphere of mass 230 g and diameter 2.70 cm . it is spinning about a frictionless axle through its center, but at one point on its equator it is scraping against metal, resulting in a friction force of 0.0200 n at that point.
A machine part has the shape of a solid uniform sphere of mass 230 g and diameter 2.7 cm. The angular acceleration is 16.10 rad / s².
Given that, mass of the sphere is 230 g
diameter is 2.7 cm
Frictional force = 0.02N
Now, we need to calculate angular acceleration. We know the formula of torque as τ = f × r
I × α = f × r
Here, I is the moment of inertia of the sphere
2/5 m r² × α = f × r
α = 5 f /( 2 m r) = (5* 0.02) / (2 * 230 * 10⁻³ * 1.35 * 10⁻²)
α = 16.10 rad / s²
Thus, the angular acceleration is 16.10 rad / s².
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based on relative bond strengths, classify these reactions as endothermic (energy absorbed) or exothermic (energy released). AB+C --> AC+B
A+ BC --> AB + C
A2+C2 --> 2AC
B2+C2 --> 2BC
A2+B2 --> 2AB
Strongest Bond
A-B
A-A
B-B
C-C
B-C
A-C
Weakest Bond
Reactions that are Exothermic and Endothermic These emit energy in the form of heat, cold, light, sound, or vibration.
What distinguishes endothermic from exothermic reactions?The endothermic process is a term used to describe a reaction in which the system takes up heat from its environment.A reaction that is exothermic is the opposite of one that is endothermic. It emits energy onto its surroundings as heat or light.Chemical processes referred to as endothermic reactions occur when the reactants take in heat energy from their surroundings to create products.An exothermic reaction is one in which energy is given off as heat or light.In the same way that a stronger relationship releases more energy when it is established, a stronger bond also requires more energy to break.Because A-B is a strong connection that requires more energy to break than AC, which forms a weak bond and releases very little energy, the reaction is comparatively endothermic because more energy is taken in than released.As part of the reaction [rmA 2 + rmC 2] longrightarrow{{}}2{\rm{AC}}\] This reaction is endothermic because the A-C bond is weaker than the A-A and C-C bonds.To learn more about Exothermic and Endothermic Reaction refer to:
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figure 10-35 shows three 0.0100 kg particles that have been v l glued to a rod of length l i 6.00 cm axis o and negligible mass. the assembly can rotate around a perpendicular axis through point 0 at the left
The percentage difference between these particles is 7.14%.
Calculation:-
Given mass = 0.100 kg
length of rod = 6 cm
I total = md² + m(2d)² + m(3d)²
if the Innermost one is removed then would only m92d)² = 13 md²
The percentage difference between these is
(13-14)/4 = 0.714% = 7.14%
For any planar body, the moment of inertia about any axis perpendicular to the plane is equal to the sum of the moments of inertia about any two perpendicular axes in the plane of the body that intersect the first axis in the plane. The axis of rotation is always perpendicular to the plane of motion. The sagittal plane divides the body into left and right sections, with axes on the left and right sides.
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consider the washington monument in washington, d.c. in the united states. what forces act between it and the earth and how do they compare?
The monument is attracted to Earth with a force equal to its weight, and Earth is attracted to the monument with an equal force. The situation can be represented with two force vectors of equal magnitude but pointing in opposite directions.
What is force ?An object with mass changes its velocity in response to a push or pull. Force is an external agent that has the power to alter a body's resting or moving state. It has a size and a movement.
Both contact and non-forces are different types of force. Examples of forces include gravitational force, nuclear force, frictional force, magnetic force, electrostatic force, spring force, and others.
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in the figure, if the tension in string 1 is 135 n and the tension in string 2 is 220 n, what is the mass of the object shown?
The mass of the object will be 20 kg
What would be the mass of object shown?First, create a free-body diagram for the item and label it. I've included a drawing I made that depicts all the relevant forces at work on the object.
The tension forces (T1 and T2), their x and y components, and the weight force are shown on the free-body diagram (w).
In order to apply this angle later in the issue to determine the object's mass using Newton's Second Law, we want to start by determining the angle theta ().
By utilizing the knowledge that there are no imbalanced horizontal forces acting on the item and that the net force is zero, we can determine the angle.
This implies that T1 sin(40) = T2 sin(). Create an equation with them equal to one another and find the angle. The tension forces are provided as T1 = 34 N and T2 = 24 N.
T1 sin(40) equals T2 sin().
220 * sin() = 135 * sin(40).
To determine sin(), multiply 135 by sin(40) and divide the result by 220.
0.3944378513 = sin(Θ)
Consider both sides of the equation's inverse sine.
Θ = sin⁻¹(0.3944378513) (0.3944378513)
Θ = 23.2309189°
Now that we have the angle, we can utilize it to construct a mass-related equation according to Newton's Second Law.
We are aware that the object is subject to a weight force that is applied downward and is equal to mg (mass divided by the gravitational acceleration).
The two tension forces' x-components are the two forces pushing upward on the item.
Since the item is not moving vertically, we may infer that the net force must be zero (F = ma, and since there is no acceleration, F = 0 N).
The forces acting in the y-direction added together will equal zero. We can construct the following equation by making the upward direction positive and the descending way negative:
F is equal to T1 cos(40) plus T2 cos(23.2309189) - mg = 0.
Weight force (mg) should be added to both sides of the equation.
T2 cos(23.2309189) + T1 cos(40) = mg
Change T1 to 135 and T2 to 220.
220 * cos(23.2309189) + 135 * cos(40) = mg
On Earth, the gravitational acceleration is 9.8 m/s2. To find the object's mass, m, solve the problem using this number as a substitute.
220 * cos(65.59058699) + 135 * cos(40) = m (9.8)
Analyze the equation's left side.
194.30766 = 9.8m
M = 19.829, multiply both sides of the equation by 9.8.
Since the problem provides us with the tension forces as two significant values, round this to two.
m ≈ 20 kg
The object in the image weighs about 20 kg.
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twice each lunar month, all year long, these tides occur. whenever the moon, earth and sun are aligned, the gravitational pull of the sun to that of the moon causing tides.
True, twice each lunar month, all year long, these tides occur. whenever the moon, earth and sun are aligned, the gravitational pull of the sun to that of the moon causing tides.
When the Earth, Sun, and Moon align twice a month, their gravitational power combines to produce extremely high tides where the bulges occur, known as spring tides, Spring tides occur just after the full and new moons, when the sun, moon, and earth align. That is when the lunar and solar tides align and reinforce each other, resulting in a larger total tide. Neap tides occur when the moon is in its first or third quarter, forming a right angle with the sun, earth, and moon.
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PHYSICS HELP!!! 100POINTS !!! PLUS BRAINIEST IF CORRECT!!!
Three masses are arranged in the (x, y) plane
as shown.
What is the magnitude of the resulting
force on the 2 kg mass at the origin? The
value of the universal gravitational constant
is 6.6726 × 10−11 N · m2
/kg2
.
Answer in units of N.
The magnitude of the force of gravity that is acting on the objects is 1.33 × 10^−10 N.
What is the force that acts on the bodies?We know that the gravitational force is an attractive force that acts on all the objects that do exist in the universe. Thus, once body lies within the gravitational field of the earth this force of gravity can be said to act on the object. We have in the question two objects that are positioned on the cartesian coordinates as shown. The distance between the objects is 2 m.
Using the formula;
F = Gm1m2/r^2
F = gravitational force
G = gravitational constant
m1 and m2 = masses of the objects
r = distance of separation
Then we have;
F = 6.6726 × 10^−11 * 4 * 2/(2)^2
F = 1.33 × 10^−10 N
Thus the attractive force has a magnitude of 1.33 × 10^−10 N.
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The trunk of a elephant may extend up to 2.2 m. It acts much like an organ pipe only open at one end when the elephant blows air through it.
1) Calculate the fundamental frequency of the sound the elephant can create with its trunk. (Express your answer to two significant figures.)
(express in Hz)
2) If the elephant blows even harder, the next harmonic may be sounded. What is the frequency of the first overtone? (Express your answer to two significant figures.)
(express in Hz)
The calculated answers are- Fundamental frequency is 38.63 Hz and frequency of the first overtone is 115.90 Hz.
How to calculate the frequencies for a elephant trunk which behaves like an organ pipe?Any integer multiple of a pipe's fundamental or natural frequency is considered to be a harmonic. When an antinode is present at one or both of the pipe's open ends, open air columns will naturally resonate at specific frequencies (a closed end of the pipe has a node). For an open-closed pipe, the following equation is used to determine the harmonic frequencies:
[tex]f = \frac{nv}{4L}[/tex]
where,
f = frequency
n = harmonic number
v = speed of sound
L = length of pipe in meters
An organ pipe with a closed end can be used to represent the elephant's trunk; in pipes, closed ends represent nodes and open ends represent antinodes or bellies.
The formula for this system's wavelengths is-
4L = nλ
where n = 1, 3, 5, 7..
1) To calculate the fundamental frequency (n = 1):
f = 340 / 4 × 2.2
f = 38.63 Hz
2) To calculate the frequency of the first overtone (n = 3):
f = 3 × 340 / 4 × 2.2
f = 115.9 Hz
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consider an object on which a number of forces act for a short time. the kinetic energy of the object will have decreased if the net work done by the forces . which of the following correctly fills in the blank?
The kinetic energy of the object will have decreased if the net work done by the forces: Zero.
Kinetic energy is the strength an item has due to its motion. If we want to accelerate an item, then we have to practice a force. applying pressure calls for us to do paintings. After paintings have been finished, power has been transferred to the item, and the object may be shifting at a new constant pace.
Solution:-
a) Arm wore energy theorem,
WwW = AE
Sy if AKEDO, WO
Now, the correct option is: achn4 on the project is positive
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assume that the market for beef is perfectly competitive and in equilibrium. which of the following would most likely result in an increase in both the equilibrium price and the equilibrium quantity of beef?
The equilibrium price and the equilibrium amount of beef will both rise in response to a decline in the supply of beef.
How to explain this reduction in beef supply?When supply and demand, as well as financial forces, are in balance, there is economic equilibrium, and the values of economic variables do not change in the absence of external influences.
When supply and demand are in balance, the number of people who want to purchase an item determines the demand. This cycle has a number of variables, and if it continues to rise, the last minimal cost can enable a person to purchase an item. For instance, if you purchase ice cream every day and the price keeps rising, even if it is only by a cent, this ongoing rise in price could result in the last cent becoming an obstacle.
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The muzzle velocity of a projectile fired from a gun has an upward component of 49 m/s and a horizontal component of 60 m/s
what maximum height does the projectile reach
A projectile having a muzzle velocity of 60 m/s and a vertical component of 49 m/s will travel 600 metres horizontally when shot from a gun.
Equation:
Where t represents the horizontal component of its velocity, the horizontal distance is equal to vt.
v = 60 m/s,
t = 10 seconds,
x = 60, and 10 seconds equal
= 600 metres.
According to the Law of Inertia, a particle's state won't change if there is no external force acting on it. As a result, whether it is moving or at rest, it will continue to move at the same constant speed indefinitely.
The vertical component of a particle's velocity changes continually throughout projectile motion because of the weight of the projectile acting in the vertical direction.
However, because there is no force pushing in the horizontal direction, the object, which maintains a constant horizontal velocity.
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g a solenoid 30.0 cm long and with a cross-sectional area of 0.600 cm2 contains 415 turns of wire and carries a current of 90.0 a.for related problem-solving tips and strategies, you may want to view a video tutor solution of storing energy in an inductor.
The total energy contained in the coil magnetic field is 0.161 J.
Given that, Length of the solenoid = 30 cm = 0.3 m
Area of cross section = 0.6 cm² = 0.6* 10⁻⁴ m²
Number of turns = 415
Current I = 90 A
Total energy contained in the coil magnetic field is given by the formula,
energy density × l ×A
Energy density is given by the formula, B²/2μ₀
The formula to find out magnetic field in the solenoid B = μ₀ ni = μ₀*N*i/L = 4π× 10⁻⁷* 415 * 90/ 0.3 = 0.15 T
Energy density = B²/2μ₀ = (0.15)²/2* 4π× 10⁻⁷ = 0.000895 × 10⁷ = 8.95× 10³ J/m³
Total energy contained in the coil magnetic field is 8.95× 10³ * 0.3 * 0.6× 10⁻⁴ = 0.161 J
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a 23.0 kg child is riding a playground merry-go-round that is rotating at 40.0 rev/min. what centripetal force (in n) must she exert to stay on if she is 1.00 m from its center? (enter a number.) n(b) what centripetal force (in n) does she need to stay on an amusement park merry-go-round that rotates at 3.00 rev/min if she is 5.00 m from its center? (enter a number.) n(c) compare each force with her weight.
a. The centripetal force (in N) that she must exert to stay if she is 1.00 m from its center is 403.80 N.
b. The centripetal force (in N) required to stay on an amusement park carousel that is rotating at 3.00 rev/min if it is 5.00 m from its center is 11.30 N.
c. Comparison of each force with her weigh is 1.79 : 0.050
Centripetal forceUse formula:
Fc = m (rω )² / r
We have,
ω = 40.0 rev/min = 0.314 rad/s
So,
a. The centripetal force (in N) that she must exert to stay if she is 1.00 m from its center is:
Fc = m (rω )² / r
= 23.0 (1.00 x 4.19)² / 1.00
= 403.80 N
b. The centripetal force (in N) required to stay on an amusement park carousel that is rotating at 3.00 rev/min if it is 5.00 m from its center is
Fc = m (rω )² / r
ω = 3 rev/min = 0.314 rad/s
Fc = 23.0 (5.0 x 0.314)² / 5.0
= 11.30 N
c. Comparison of each force with her weight is:
W = m x g
So,
403.80/ (23.00 x 9.8)
= 1.79
11.30/ (23 x 9.8)
= 0.050
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A ball of mass m moving with velocity v collides with another ball of mass 2m and sticks to it. The velocity of the final system is:A. v/3B. v/2C. 2vD. 3v
The velocity of the final system is v/3. Option A.
Solution:
The momentum of the body is defined as:
p = mv
The initial momentum of the body:
pi = mv
The final momentum of the two bodies after the collision is :
pf = (m+2m)v 1
By using the conservation of linear momentum for the collision between the bodies:
mv = (m+2m) v1
v/3 =v 1
Velocity is the primary measure of object position and velocity. It can be defined as the distance traveled by an object in a unit of time. Velocity can be defined as the displacement of an object in a unit of time. Velocity is the speed at which something moves in a particular direction. For example, the speed of a car traveling north on a highway, or the speed of a rocket after launch.
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