The acceleration of the car is 1.78 m/s² and the compared percentage with acceleration due to gravity is 18.16%.
What is the acceleration?The change in the rate of an object's velocity with respect to time is defined as acceleration. Vector quantities are accelerations. The orientation of an object's acceleration is determined by the orientation of its net force.The acceleration of gravity is the acceleration of any object moving solely under the influence of gravity.To find the acceleration,
Velocity = 10m/s
Radius = 56 m
The formula to find acceleration is,
a = v²/r
By substituting the values,
a = 10²/56
= 100/56
= 1.78 m/s²
As a result, the acceleration due to gravity as a percentage is 9.8 m/s².
Percentage required = (1.78 /9.8) x 100
= 18.16%
18.16% is the required percentage.
To learn more about acceleration refer to :
https://brainly.com/question/460763
#SPJ1
what must the charge (sign and magnitude) of a particle of mass 1.48 g be for it to remain stationary when placed in a downward-directed electric field of magnitude 610 n/c ? use 9.80 m/s2 for the magnitude of the free-fall acceleration.
The required charge of the given particle to remain stationary should be -2.3 × 10⁻⁵ C.
The mass of the particle is given as 1.48 g = 0.00148 kg
The magnitude of the downward directed electric field is 610 N/C.
The magnitude of the free-fall acceleration is 9.80 m/s².
Expression of electric field can be given as,
E = F/q
Making q as subject, we have,
q = F/E
The particle's force is equal to the product of its mass and the acceleration of free fall.
q = (m a) / E = (0.00148 × 9.8)/610 = 2.3 × 10⁻⁵ C
When a particle is subjected to an electric force that is directed downward, the force must be directed upward in order for the particle to remain stationary. The charge's sign should be negative for the opposing direction.
Thus, the charge of the given particle to remain stationary should be -2.3 × 10⁻⁵ C.
To know more about charge:
https://brainly.com/question/21434519
#SPJ4
Force F1 has a magnitude of 30.0N, force F2 has a magnitude of 40 N. The angle between the forces is 60 degree. What is the magnitude and the direction of the resultant vector force, F, obtained by the vector addition of these two forces?
A. F-60.8N, 0-34.7 degrees
B. F 65.5 N. 0= 33.3degrees
C. F=70.0 N, 0= 30.0degrees
D. F 677 N.0 17.1degrees
The magnitude and direction of the resultant vector force, F, obtained by the vector addition of the two forces F1 and F2 with magnitudes of 30.0 N and 40.0 N, respectively, and an angle of 60 degrees between them, are F = 65.5 N and an angle of 33.3 degrees. Answer is Option b.
To solve this problem, we need to use vector addition. We can break down each force into its horizontal and vertical components using trigonometry, and then add the corresponding components together to get the components of the resultant vector. Finally, we can use the Pythagorean theorem and trigonometry to find the magnitude and direction of the resultant vector.
Using trigonometry, we find that the horizontal component of F1 is 15 N and the vertical component is 25.98 N. Similarly, the horizontal component of F2 is 20 N and the vertical component is 34.64 N.
Adding the horizontal components,
F_horizontal = 15 N + 20 N = 35 N
Adding the vertical components,
F_vertical = 25.98 N + 34.64 N = 60.62 N
Using the Pythagorean theorem, we can find the magnitude of F,
|F| = sqrt((35 N)^2 + (60.62 N)^2) = 65.5 N
To find the angle between F and the x-axis,
tan(theta) = F_vertical/F_horizontal
theta = atan(F_vertical/F_horizontal) = 33.3 degrees
Option b is the final answer.
To know more about the force, here
brainly.com/question/13191643
#SPJ4
A driver of a car moving with a uniform speed of 40m/s observes a truck approaching in the opposite direction with a speed of 20m/s.Calculate the speed of the car relative to that of the truck
Answer:
60m/s
Explanation:
since both are travelling in opposite direction,
relative speed will be the sum of the speed of both the vehicles
= 40m/s + 20m/s
= 60m/s
and we are done!
Referring to the information PEI received through March 2010 from the Stop the Static Campaign reading, what was the general pattern for gas pump fires by month? Why do you think this trend
emerged?
The common cause for gas pump fires is static electrical discharge.
What is static electricity?Static electricity is an imbalance of electric charges within or on the surface of a material or between materials.
In petrol pumps,
During refueling, many petroleum products become electrically charged when they flow through pipes and hoses, including gasoline, kerosene, petrol, diesel etc. which are poor electrical conductors.
Charge remains until it is able to move away by means of an electric current or electrical discharge which causes the static spark that can ignite gasoline vapors, causing a flash fire.
Hence, static electrical discharge is common cause of gas pump fires.
Learn more about static electricity here:
https://brainly.com/question/26609519
#SPJ1
which of the following statements apply to wide-angle lens shots? check all that apply. a the space appears compressed. b they minimize movement toward or away from the camera. c they exaggerate the distance from foreground to background objects. d the sense of movement is expanded.
The statements that apply to wide-angle lens shots is that the space appears compressed and that they exaggerate the distance from foreground to background objects. The correct answer is a and c.
A wide-angle lens shot is characterized by a wider field of view than normal lenses. This results in a compressed space within the frame, as objects that are far apart appear closer together.
Additionally, a wide-angle lens has the effect of exaggerating the distance between foreground and background objects, making the background seem further away. This can be used to create a greater sense of depth in a shot.
On the other hand, wide-angle lenses minimize movement toward or away from the camera and do not necessarily expand the sense of movement. However, the wider field of view can make movements seem more pronounced, giving a greater sense of space and energy to the shot.
To learn more about wide-angle lens visit: https://brainly.com/question/25325599
#SPJ4
10 kj heat is transferred to a control volume and 7 kj work is done by the control volume. the amount of heat lost from the control volume is
The amount of heat lost from the control volume is 3 kJ, as the control volume has transferred 10 kJ of heat and done 7 kJ of work.
Heat transfer is the process by which energy in the form of thermal energy is transferred from one place to another. Heat can be transferred from a warmer object to a cooler object, or vice versa.
Heat transfer can occur in three ways: conduction, convection, and radiation. In conduction, heat is transferred through the contact of two objects. In convection, heat is transferred through the movement of fluids.
Learn more about the heat control volume:
https://brainly.com/question/13709328
#SPJ4
increasing the diameter of a telescope i. increases its light gathering power. ii. increases its resolving power. iii. increases it magnifying power. iv. increases its chromatic aberration.
Yes, a telescope's diameter can be increased to achieve all of these results.
The telescope can gather more light by expanding its diameter, which makes it simpler to observe faint objects. The telescope's resolving power is also improved by the larger diameter, which enables it to resolve minute details with greater accuracy. The telescope can create images with higher levels of magnification with more light and better resolving power. As a result of different light wavelengths being focused at different spots, chromatic aberration—which is another effect of greater diameter—can also rise.
An optical device called a telescope is used to magnify distant objects, enabling us to view distant galaxies, planets, stars, and other astronomical objects. In order to gather light and create an image, telescopes come in a wide variety of sizes and designs and employ a variety of lenses and mirrors. Terrestrial items like birds and trees can also be seen through telescopes. Astronomers and researchers utilise telescopes, as do amateur astronomers who seek to study the night sky.
For more information on magnification click on
https://brainly.com/question/30402564
#SPJ4
how much ke would a proton acquire, starting from rest at b b and moving to point a a ? express your answer using two significant figures.
A proton starting from rest at point B and moving to point A would acquire 4.2 keV of kinetic energy. Expressing this answer using two significant figures yields 4.2 keV.
To further develop the topic, it is important to understand how kinetic energy is calculated. Kinetic energy is the energy of an object in motion, and is equal to one half of the mass of an object times the square of its velocity. In this case, the proton is moving from point B to point A, so the velocity of the proton at point A can be used to calculate the kinetic energy.
Learn more about proton:
https://brainly.com/question/14514636
#SPJ4
a block with a mass of 40 kg is being pushed along a very slippery surface by a 44 lb force. find the acceleration of the block rounded to three significant figures.
The acceleration of block with mass 40 kg is 4.89 m/s^2.
Force is defined as an external cause that changes or tends to change the state of the body once applied. If the body is in motion, it comes to rest, and if at rest, then it will come to motion. It can also cause a change in the direction, shape, size, etc., of the body. Pushing or pulling a door with force is an example.
Force = mass × acceleration
Force is 44 lb = 195.7218 N
Mass = 40 kg.
Now using the formula for force,
195.7218 = 40 × acceleration
Acceleration = 4.89 m/s^2
To know more about the acceleration, here
brainly.com/question/13860566
#SPJ4
An object is placed 11.9 cm in front of a mirror. What type must the mirror be to form an image of the object on a wall 1.73 m away from the mirror? What is the magnification of the image? Is the image real or virtual? Is the image inverted or upright?
The mirror is a Concave mirror, the magnification is 0.55.
What is optics?The field of physics known as optics is concerned with the behaviour and characteristics of light, including how it interacts with matter and how to build instruments that can either use or detect it.
Since the image is upright and larger than the object, we need a concave mirror.
We know image height, h/object height, h = -image distance, d'/object distance, d
h'/h = -d'/d
Using the real is a positive convention,
h'= + 11.9 cm, h = + 21.3cm and d = 173 cm.
11.9 cm/ 21.3 cm = -d'/+ 173
0.55 = -d'/ 173
d' = -95.15 cm
Magnification = image height, h'/object height,h
Magnification = 11.9 / 21.3 = 0.55
To know more about optics follow
https://brainly.com/question/20069397
#SPJ1
Which of these illustrates potential energy due to gravity being converted into kinetic energy?
The answer is a rock falling from a cliff. This illustrates potential energy due to gravity being converted into kinetic energy.
When a rock falls off a cliff, its gravitational potential energy is converted into kinetic energy. This is because the potential energy of the rock is converted into kinetic energy as it falls and accelerates as it falls due to gravity. The potential energy of a rock is the energy stored in the rock due to its location relative to the Earth's gravitational field.
When falling, this potential energy is converted into kinetic energy, which is the energy of motion, and is accelerated by when falling due to gravity. This kinetic energy eventually causes the stone to hit the ground with considerable force.
Full Question:
Which of these illustrates potential energy due to gravity being converted into kinetic energy?
A rock falling from a cliffA burning log heats a container of water.A rubber band becomes harder to pull as it is stretched farther. Cells in the body convert food moleculeTo know more about Kinetic Energy:
brainly.com/question/8101588
#SPJ4
an oscilloscope measures a time delay of 0.2 milliseconds between a pair of 500 hz sine waves. determine the phase shift.
The second sine wave is shifted 360.4° ahead of the first sine wave.
What is sine wave ?A sine wave is a type of waveform, or a periodic oscillation, with a shape that follows the mathematical sine function. It is one of the fundamental waveforms and has a distinctive, smooth curve that repeats itself over intervals of time. It is commonly used in mathematics, physics, engineering, and other fields.
The phase shift between two sine waves is calculated by multiplying the time delay by the angular frequency of the sine wave. Therefore, in this case the phase shift is calculated as follows:
Phase shift = 0.2ms * (2π * 500 Hz)
= 0.2ms * (3141.6 rad/s)
= 628.32 rad.
This result can also be expressed in degrees by multiplying the result by 180/π, which gives a phase shift of 360.4°.
To learn more about sine wave
https://brainly.com/question/30464873
#SPJ4
a 95kg man standing on a bathroom scale in an elevator calculate the reading of the scale if the elevator accelerates upward at a rate of 1.50m/s^2 and suppose it moves upward at a constant speed of 1m/s
Answer:
Below
Explanation:
You have conflicting statements....first you say it is accelerating....then you say it is constant speed.
Here is the force if the elevator is accelerating
95 ( 1.5 + 9.81) = 1074 N (if the scale reads N)
If the scale reads KG then 1074/9.81 = 109.5 kg
If the elevator is constant speed his weight will not change 95kg (932 N)
during a very quick stop, a car decelerates at 7.00 m/s2. what is the angular acceleration of its 0.280-m-radius tires, assuming they do not slip on the pavement? how many revolutions do the tires make before coming to rest, given their initial angular velocity is 95.0 rad/s?
Therefore, angular acceleration is equal to linear acceleration multiplied by the radius, which is a negative 7.00 m/s squared divided by a negative 0.280 m/s squared or a negative 25.0 r/s squared.
In the event that its 0.280 m circle tires do not slide on the pavement, what is their angular acceleration?negative 7.00 metres per second ( m / s divided by 0.280 metres is equal to negative 25.0 radians / second squared, or angular acceleration, which is defined as accelerometer divided by the radius.
Why does radius not affect the angular acceleration?Compared to the area nearer the axis of rotation, it experiences a substantially greater tangential acceleration.However, because the entire item moves through the same arc in the same length of time as a rigid body, the angular velocity of every component of the wheels is the same.
To know more about angular acceleration visit:
https://brainly.com/question/29106712
#SPJ4
a stone is thrown vertically upward from 15.0 m high cliff with a velocity of 10.0 m/s. how long it takes to reach the ground?
A 65-meter-high cliff's edge releases a stone at a speed of 10 metres per second; it travels 37.14 metres per second to reach the earth.
What exactly is speed?Speed is the rate that an object is moving along a path whereas velocity is really the pace and direction of that movement. In other words, although velocity is indeed a scalar value, velocity is a vector.
Describe the term combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of a selection is irrelevant. You can choose the components of the combos in any order.
To know more about speed visit :
https://brainly.com/question/28224010
#SPJ4
how much energy does the battery supply in 3 h ? express your answer to three significant figures and include the appropriate units
Answer:
explain the question again
Balance is the body's ability to maintain ___________ and stability.
strength
control
speed
power
the power needed to accelerate a projectile from rest to its launch speed v in a time t is 61.0 w. how much power is needed to accelerate the same projectile from rest to a launch speed of 2v in a time of 1 2 t?
The same projectile requires 244W of power to accelerate from rest to launch speed.
What kind of energy does acceleration require?Kinetic energy is the term used in physics to describe the energy an object has as a result of motion. It is defined as the effort required to accelerate a mass-determined body from rest to the indicated velocity.
Power needed P = 61.0 W
initial Launch velocity is v
Energy of projectile when it is launched E = 1/2mv²
Power = energy/time
P = E/t
61 = 1/22mv²/t............(i)
when it is launched, it has 2 v of power.
E₂ = 1/2m(2v)² = 4/2mv²
P = 2mv²/t..........(ii)
Divide i & ii we get
61/P = 1/2ˣ2
P = 61 × 4
P = 244W
know more about projectile visit:-
https://brainly.com/question/14051984
#SPJ4
the microscopic structure of a polarizing filter is analogous to a __________.a. window screenb. barbeque grillc. roll pf coinsd. kitchen sievee. plate of spagetti
A polarizing filter tiny structure is comparable to a kitchen sieve. Hence, the correct option is (d).
A kitchen sieve is a device that is used to filter or sift particles of different sizes. It has a mesh or net-like structure that allows only particles of a certain size to pass through. Similarly, a polarizing filter is a device that allows only light waves of a certain orientation to pass through while blocking others. It has a microscopic structure that consists of a series of aligned molecules or crystals that act like a mesh to filter out certain orientations of light waves. The mesh-like structure of a kitchen sieve is similar to the microscopic structure of a polarizing filter because both have small openings or pores that allow only certain things to pass through while blocking others. Therefore, the answer is (d) kitchen sieve.
To know more about polarizing filter please refer: https://brainly.com/question/30003584
#SPJ4
an air bag inflates when a collision occurs, protecting a passenger (the dummy in figure q6.16) from serious injury. why does the air bag soften the blow? discuss the physics involved in this dramatic photograph.
Tiny holes in the airbag itself start releasing the gas as soon as it is filled. By the time your head reaches the bag, it should be deflating.
What physics govern air bags?Sodium azide, sometimes known as NaN3, is the chemical that drives the air bag reaction. CRASHES trip sensors in cars that transmit an electric signal to an ignitor. As a result of the heat produced, sodium azide breaks down into sodium metal and nitrogen gas, inflating the car's air bags.
Why does the physics of an airbag lessen injuries?Reduce the body's acceleration to lessen the force that is being delivered to it. This is how airbags operate. The airbag lengthens the period of time when the head's velocity is increased.
To know more about airbag visit:-
https://brainly.com/question/30379355
#SPJ4
Starting from rest, a particle moves along an axis from point A to point B with constant acceleration a = 2.20 m/2 through
displacement d = 500 m. Then it moves at constant acceleration a through displacement dz = 300 m from point B to point C. If the
total time is 60.0 s, what is the value of a2?
The value of a^2 is 3600 if Starting from rest, a particle moves along an axis from point A to point B with constant acceleration a = 2.20 m/2 through displacement d = 500 m.
To determine the value of a^2, we need to use the relationship between acceleration, displacement, and time, which is given by the equation:
[tex]d = 1/2 a t^2[/tex]
First, we can find the time t1 required for the particle to travel from point A to point B by using the equation:
[tex]d = 1/2 a t1^2[/tex]
Substituting the given values, we get:
[tex]500 = 1/2 (a) (t1)^2[/tex]
Rearranging and solving for t1:
[tex]t1 = \sqrt{} (500 / (1/2 a)) = \sqrt{} (1000 / a)[/tex]
Next, we can find the time t2 required for the particle to travel from point B to point C by using the equation:
[tex]dz = 1/2 a t2^2[/tex]
Substituting the given values, we get:
[tex]300 = 1/2 (a) (t2)^2[/tex]
Rearranging and solving for t2:
[tex]t2 =\sqrt{} (300 / (1/2 a)) = \sqrt{} (600 / a)[/tex]
Finally, we can use the total time t to find the value of a by using the equation:
t = t1 + t2
Substituting the values of t1 and t2, we get:
60 = sqrt(1000 / a) + sqrt(600 / a)
Squaring both sides, we get:
[tex]3600 = 1000 / a + 600 / a + 2 sqrt(1000 * 600) / a[/tex]
Rearranging and solving for a:
[tex]a = sqrt(3600 * a / (1000 + 600)) = sqrt(3600 * a / 1600)[/tex]
Squaring both sides again, we get:
[tex]a^2 = 3600 / (1600 / a) = 3600 * a / 1600[/tex]
Rearranging and solving for a^2:
[tex]a^2 = 3600^2 / 1600 = (60^2)^2 / (40^2) = 3600.[/tex]
So, the value of a^2 is 3600.
Learn more about displacement here
https://brainly.com/question/11934397
#SPJ4
Write the length of the Milky Galaxy.
Answer:
it is 100,000 light years
HOPE IT HELPS
MARK AS BRAINLIEST
at very large positive or negative values of x, the electric field approaches zero in both parts (a) and (b) of the figure. in which does it most rapidly approach zero and why?
The electric field in part (a) of the figure most rapidly approaches zero. This is because the electric field is inversely proportional to the square of the distance between the charges.
What is the electric ?Electricity is a form of energy that exists in nature and is the flow of electrical power or charge. It is a fundamental part of the universe, and is one of the basic building blocks of modern science and technology. Electricity is used to power a wide range of electronic devices, including computers, phones, televisions, and appliances. It is also used to light homes and businesses, to power transportation systems, and to provide heating and cooling to homes and businesses.
the distance between the positive and negative charge increases exponentially, whereas in part (b), the distance is constant. Therefore, the electric field in part (a) decreases much more rapidly than in part (b).
To learn more about electric
https://brainly.com/question/26978411
#SPJ4
a truck covers 44.0 m in 8.60 s while smoothly slowing down to final speed of 2.90 m/s. (a) find its original speed.
The original speed of the truck is 19.7 m/s.
To find the original speed of the truck, we can use the equation of motion for constant acceleration:
v = v0 + at,
where v0 is the initial velocity, v is the final velocity, a is the acceleration, and t is the time.
Since the truck is slowing down, its acceleration is negative, and we can find it using the final velocity and time:
a = (v - v0) / t = (2.90 m/s - v0) / 8.60 s.
Next, we can use the distance-velocity relationship for constant acceleration:
d = v0t + 1/2 at²,
where d is the distance traveled.
Substituting the expression for a into the above equation and solving for v0, we get:
v0 = √(v² + 2ad) = √(2.90² + 2 × a × 44.0) m/s.
Substituting the values for v, a, and d into the expression for v0, we get:
v0 = √(2.90² + 2 × (-(2.90 m/s - v0) / 8.60 s) × 44.0) m/s.
Solving this equation for v0, we get:
v0 = 19.7 m/s.
To know more about original speed here
https://brainly.com/question/20392676
#SPJ4
Discuss the ethical considerations in providing immunization.
the ethical considerations in providing immunization are vaccinations stand out as being among the most effective and economical
The only form of medical intervention that has successfully eradicated a disease is vaccination. Immunization, however, is fraught with problems and conflicts in both nations with high immunisation rates and nations that are too poor to safeguard their citizens. This piece outlines some of the moral dilemmas involved and offers some notions and problems for the world community.
Among all worldwide medical interventions, vaccinations stand out as being among the most effective and economical. Millions of lives have been saved through vaccinations, which have also eradicated a disease and reduced major morbidity and suffering. The elimination of smallpox as the final success shows the benefits of vaccination. Unfortunately, there are also glaring disparities in the delivery and application of vaccines. Why do millions of children still perish annually from other vaccine-preventable diseases if vaccinations can be used so successfully across the globe to eradicate a disease? In terms of ethics and humanitarianism, this ought to be unacceptable.
Learn more about vaccinations
brainly.com/question/29570766
#SPJ4
near one end of an electrically neutral aluminium rod lying on a table made of non conducting material ,you hold a comb that is also made of non conducting material .does a small still sphere located near the other end of the sphere
When you hold a comb near one end of the aluminum rod, electrons from the rod will flow towards the comb due to its negatively charged electrons.
However, this will result in a redistribution of electrons within the rod, not the generation of an electric charge on the other end of the rod, which is too far away to be affected by the comb.
Since both the comb and the rod are made of non-conducting materials, the electrons will not be able to flow freely, and the redistribution will be limited. This means that the sphere at the other end of the rod will not experience an electric charge.
So in short, the sphere does not experience an electric charge.
Learn more about electric charge brainly.com/question/26100412
#SPJ4
A sample of hydrogen at 1. 65 atm had its pressure decreased to 0. 454 atm producing a new volume of 755 ml. What was its original volume (v^1)
The original volume of the hydrogen sample was 0.2997 L if a sample of hydrogen at 1. 65 atm had its pressure decreased to 0. 454 atm producing a new volume of 755 ml.
We can use the Ideal Gas Law to find the original volume of the hydrogen sample. The Ideal Gas Law states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature. Assuming that the temperature remains constant, we can write:
P1V1 = P2V2
where P1 is the initial pressure of 1.65 atm, V1 is the initial volume, P2 is the final pressure of 0.454 atm, and V2 is the final volume of 755 mL. Converting the volumes to liters and the pressures to atmospheres, we have:
V1 = (P2V2) / P1
V1 = (0.454 * 0.755) / 1.65
V1 = 0.2997 L
So, the original volume of the hydrogen sample was 0.2997 L.
Learn more about volume here
https://brainly.com/question/20731189
#SPJ4
How are Newton's Laws used to describe the motion of planets? Justity your response In two or more complete
sentences in the essay box below.
Newton's Laws of Motion can be used to describe the motion of planets. These laws state:
An object at rest will remain at rest, and an object in motion will remain in motion at a constant velocity, unless acted upon by an unbalanced force.
The acceleration of an object is directly proportional to the magnitude of the force applied, and inversely proportional to the mass of the object.
For every action, there is an equal and opposite reaction.
Using these laws, astronomers and physicists can make predictions about the motion of planets and other celestial bodies. For example, Newton's First Law can be used to explain why planets continue to orbit around stars, and why they move in a specific path instead of flying off into space. Newton's Second Law can be used to calculate the force of gravity between planets and stars, which determines their acceleration and velocity.
Finally, Newton's Third Law can be used to explain how planets and other celestial bodies interact with one another, such as how they influence each other's orbits. This helps to understand why planets sometimes experience changes in their paths and movements, such as when they are pulled or pushed by other celestial bodies.
Overall, Newton's Laws of Motion provide a framework for describing and predicting the motion of celestial bodies, and continue to play a critical role in our understanding of the universe.
how far will it go, given that the coefficient of kinetic friction is 0.17 and the push imparts an initial speed of 3.7 m/s ?
When the box is placed on a horizontal surface, it experiences a force even if it is at rest. The forces that a box encounters are gravity, frictional force, and weight.
The weight is how much?Weight is the gravitational attraction of the Earth's centre on items. Gravity is the resultant force that draws a mass towards Earth. This only happens on Earth and a mass, as opposed to gravitational pull, which happens whenever two masses are in contact.
What is a mass?In physics, mass is a way to measure inertia, a fundamental property of all matter. Basically, it describes the opposition a body or piece of matter offers to a change in velocity or location.
To know more about weight visit :
brainly.com/question/10069252
#SPJ4
The length of the vibrating air column of a simple resonance tube can be altered by adjusting a water level. Resonance is found for a fork of frequency 440 Hz when the length of the air column is 18.8 cm and again when it is 57.3 cm. Explain how each of these positions occurs; calculate the speed of sound in the air in the tube and the position of the next resonance as more water is run out. what would be the corresponding resonance distances if the tube were filled with gas in which the speed of sound is 264m/s
The two corresponding resonance distances would be:
18.8 cm * (264 m/s) / (8332 cm/s) = 0.15 m57.3 cm * (264 m/s) / (8332 cm/s) = 0.45 mWhat are resonance distances?Resonance distances refer to the lengths of the air column in a resonance tube that result in resonance. Resonance occurs when the pressure variations at the two ends of the air column are in phase, which means that the distance between the two pressure nodes must be equal to an integer multiple of one-quarter wavelength (i.e., one-quarter of the wavelength of the sound wave). The length of the air column that results in resonance is referred to as a resonance distance. When the air column is at a resonance distance, it acts as a standing wave, with both pressure and velocity antinodes at the open end of the tube and pressure nodes and velocity antinodes at the closed end. The resonance distances can be used to calculate the speed of sound in the gas filling the tube.
Calculation of Resonance distance:
For the first resonance, where the length of the air column is 18.8 cm, the distance between the pressure nodes must be equal to one-quarter of the wavelength of the sound wave at a frequency of 440 Hz:
(1/4)λ = 18.8 cm
Knowing the frequency and wavelength, the speed of sound in air can be calculated:
v = fλ
Substituting the values for frequency and wavelength:
v = (440 Hz)(18.8 cm) = 8332 cm/s
For the second resonance, where the length of the air column is 57.3 cm, the distance between the pressure nodes must be equal to three-quarters of the wavelength of the sound wave:
(3/4)λ = 57.3 cm
Solving for wavelength:
λ = (57.3 cm)(4) / 3 = 76 cm
The next resonance distance can be found by adding one-quarter of the wavelength to the previous resonance distance. In this case, the next resonance distance would be:
18.8 cm + (1/4)λ = 18.8 cm + (1/4)(76 cm) = 18.8 cm + 19 cm = 37.8 cm
If the tube were filled with a gas in which the speed of sound is 264 m/s, the wavelength of the 440 Hz sound wave would be:
λ = v / f = (264 m/s) / (440 Hz) = 0.6 m
To know more about resonance distance, visit:
https://brainly.com/question/15276565
#SPJ1