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
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a 0.24 kg blob of clay is thrown at a wall with an initial horizontal velocity of if the clay comes to a stop in what is the average horizontal force on the clay due to the wall?
According to the solving the average force experienced by the clay = 42N.
How much average force as well as impulse is there?The term "impulse of force" refers to the sum of average force and time of application. according to Newton's second law. Providing the mass is constant, it is possible to calculate the impulse of force and discover that it equals the change in momentum of an object. Calculation.
According to the given information:Mass of the blob of clay is m=0.24kg
Initial velocity of the blob of clay is vi=16m/s
Final velocity of the blob of clay is vf=0m/s
The following formula can be used to calculate the change in the clay blob's linear momentum:
ΔP = M(vf - vi)
= (0.24 kg)(0m/s - ( - 16 m/s)
= 3.48 kg . m/s
So, the following formula can be used to calculate the average force that the clay encountered:
F[tex]_a_v_g[/tex] = ΔP/Δt
= (3.84 kg . m/s)/ 91ms
= (3.84 kg . m/s)/91 × 10⁻³ s
= 42N.
According to the solving the average force experienced by the clay = 42N.
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A 0.24 kg blob of clay is thrown at a wall with an initial velocity of 16 m/s. If the clay comes to a stop in 91 ms, what is the average force experienced by the clay?
A) 42 N
B) 26 N
C) 35 N
D) 51 N
What galaxy type is full of gas and dust?
Answer: I hope this helps it between Irregular galaxies or Sprial galaxies I think it’s Sprial
Explanation:
Irregular galaxies tend to contain lots of gas and dust. As a consequence, irregular galaxies contain copious star formation
Spiral galaxies have a lot of gas, dust and newly forming stars. Since they have a lot of hot, young stars, they are often among the brightest galaxies in the universe. About 20% of all galaxies are spirals. We live in a spiral galaxy called the Milky Way.
Spiral galaxies are made up of young stars, gas, and dust. You can see the dust in the dark spots of the spiral arms. The gas and dust are used to make new stars, and these baby stars glow very brightly. Astronomers use these facts to determine that spirals are typically young galaxies.
determine the stretch in spring ac (in cm.) for for equilibrium of the 1.9-kg block. the springs are shown in the equilibrium position. determine the stretch in spring ac in cm.
The stretch in spring ac (in cm.) for the equilibrium of the 1.9-kg block. the springs are shown in the equilibrium position is 0.9 cm.The two springs are in equilibrium when the block is suspended between them.
The two springs have the same spring constants (k), and the same force is exerted on the block by each spring. Therefore, the distance between the block and the wall is equal to the stretch in spring AC. In order to determine the stretch in spring AC, we can use the equation F = k * x, where F is the force exerted by the spring, k is the spring constant, and x is the stretch in the spring.
Since the mass of the block is 1.9 kg, the force exerted by the spring is 1.9 kg * 9.8 m/s2, which is equal to 18.82 N. We also know that the spring constant is equal to 18 N/m. Substituting these values into the equation yields 18.82 N = 18 N/m * x. Solving for x gives us a stretch of 0.9 cm.
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There is a bell at the top of a tower that is 45 m high. The bell has a mass of 40kg. The bell has__ energy. Calculate it.
The required energy the bell has at the top of a tower, when the height of the bell and mass of the bell are given is calculated to be 17.6 kJ.
The energy in the above case is nothing but the gravitational potential energy.
Gravitational potential energy = m × g × h
where,
m is mass
h is height
g is gravity
Entering the values in the above equation, we have,
P.E = m × g × h = 40 × 9.8 × 45 = 17640 J = 17.6 kJ
Thus, the required energy the bell has at the top of the tower is calculated to be 17.6 kJ.
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Write a rate equation for the following reaction given the indicated mechanism. Click in the answer box to activate the palette
We know that slowest step is the rate determining step so according to rate law, rate equation for this reaction will be : rate = k [ (CH3)3CBr ]
where, k = rate constant
How to explain the rateBecause the rate of reaction only depends upon the nature of tertiary alkyl haide i.e. (CH3)3CBr ( substrate) and not depends upon the nature of attacking species i.e. weak nucleophile (OH - ). therefore the given reaction indicates the SN1 ( i.e. Unimolecular Nucleophilic Substitution) reaction.
Favourable conditions of SN1 reaction :-
(1) tertiary alkyl halide > secondary alkyl haide > primary alkyl halide
(2) weak nucleophile
(3) good leaving group i.e. I > Br > Cl
(4) Polar protic solvent.
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imagine you are standing in the northern hemisphere. looking directly north, you see a star just above the horizon. a little later you notice that it has shifted position slightly. which way did it move?
Answer:
If one is looking north one would see the sun rise in the East (move counterclockwise) - the star will move in the same direction - counterclockwise towards the zenith
There is a little island off the shore of Brazil where the weather is extremely consistent. From 1911 to 1990, the lowest temperature on the island was 18°C (64°F) and the highest temperature was 32°C (90°F). It is known that the liquid in a standard can of soft drink absorbs 20. 8 kJ of energy when its temperature increases from 18. 0°C to 32. 0°C. If the soft drink has a mass of 0. 355 kg, what is its specific heat capacity?
The specific heat capacity of the soft drink is 58.95 J/g°C.
What is the capacity ?The capacity of something is the maximum amount it can hold or contain. This can refer to physical items, like a bottle or a room, or it can refer to abstract concepts such as memory or knowledge. Capacity is usually measured in terms of volume, weight, or number of items. In terms of physical items, capacity is usually determined by the size, shape, and material used in the creation of the object. For abstract concepts, capacity is usually determined by the individual's ability or knowledge.
The specific heat capacity of the soft drink is 58.95 J/g°C.
We can calculate the specific heat capacity of the soft drink using the following equation:
Specific heat capacity = (Energy absorbed) / (Mass * Change in Temperature)
In this case, the energy absorbed is 20. 8 kJ, the mass is 0. 355 kg, and the change in temperature is 14°C (32°C - 18°C). Plugging these values into the equation, we get:
Specific heat capacity = (20. 8 kJ) / (0. 355 kg * 14°C)
Specific heat capacity = 58.95 J/g°C
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how long (in s) would it take to reach the ground if it is thrown straight down with the same speed?
If an object is thrown straight down with the same speed, the time it takes to reach the ground depends on the height from which it was thrown and can be calculated using the formula [tex]t = sqrt(2h/g)[/tex] where t is the time, h is the height, and g is the acceleration due to gravity, which is approximately equal to [tex]9.8 m/s^2[/tex] near the surface of the Earth.
If the object is thrown straight down with the same speed, it means that has zero initial velocity. In this case, the height h is simply the height from which the object was thrown.
Therefore:
[tex]t = sqrt(2h/g)[/tex]
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PLEASE HELP ASAP 30 POINTS AND BRAINLY IF RIGHT. The arrow in the photo represents a force.
Which force is equal but opposite to the one shown?
Answer:
the ancer is c I know it because I had the same test or it might have been different but it looks familiar to me
a control volume is a system that group of answer choices allows a transfer of matter across its boundary. always has a constant volume always contains the same matter. does not interact in any way with its surroundings.
A control volume is a system that always has a constant volume
What does "control volume" refer to?
A control volume is a volume of interest for a specific analysis in space. The control surface, which is a closed surface, is the surface of the control volume. A coordinate system that may be fixed, moving, or rotational is used to define the surface.
A control volume is a set area of space that is used to examine mass and energy balances for flowing systems using thermodynamics. An actual or hypothetical envelope may serve as the control volume's boundary. The control volume's perimeter is defined by the control surface.
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a charged particle a exerts a force of 2.38 n to the right on charged particle b when the particles are 12.9 mm apart. particle b moves straight away from a to make the distance between them 18.2 mm. what vector force does particle b then exert on a?
The magnitude of the force that particle b exerts on particle a is 0.86 N. To find the vector force, we need to determine the direction of the force. Since particle b is moving directly away from particle a, the force it exerts on particle a is in the opposite direction, i.e., to the left. Therefore, the vector force is -0.86 N in the x-direction.
What is the force?Force is an interaction between two objects that occurs when one object exerts a push or pull on the other. Forces can cause objects to accelerate, decelerate, or change direction. In classical mechanics, the force is described by Newton's second law of motion, which states that the rate of change of momentum of an object is proportional to the applied force.
We can use Coulomb's Law to calculate the magnitude of the force between the two charged particles:
[tex]\mathrm{F = k \times q_1 \times q_2 / r^2}[/tex]
where F is the force, k is the Coulomb constant, q1 and q2 are the charges of the particles, and r is the distance between them.
Let's assume that particle a has a positive charge and particle b has a negative charge. Then, we can write the following equation based on the information given:
[tex]\mathrm{2.38 N = k \times q_1 \times q_2 / (12.9 mm)^2}[/tex]
We also know that the distance between the particles increases to 18.2 mm. Since particle b moves away from particle a, the direction of the force it exerts on particle a is opposite to the direction of the force that particle a exerts on particle b.
To calculate the magnitude of the force that particle b exerts on particle a, we can use the same equation and substitute the new distance:
[tex]\mathrm{F' = k \times q_1 \times q_2 / (18.2 mm)^2}[/tex]
Since the charges q1 and q2 are the same, we can simplify the equation as follows:
F' = F × (12.9 mm / 18.2 mm)²
F' = 2.38 N × (0.709 mm / 1.0 mm)²
F' = 0.86 N
The magnitude of the force that particle b exerts on particle a is 0.86 N. To find the vector force, we need to determine the direction of the force. Since particle b is moving directly away from particle a, the force it exerts on particle a is in the opposite direction, i.e., to the left. Therefore, the vector force is -0.86 N in the x-direction.
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a ball is thrown straight up. what are the velocity and acceleration of the ball at the highest point in its path?
When a ball is straight up , then at highest point velocity is zero and acceleration is "acceleration due to gravity" .
When the ball thrown upwards reaches the highest point, the velocity changes from upward to downward, and the acceleration of ball changes from upward to downward.
At this point , the velocity of the ball becomes zero(0) and the acceleration is directed downward, that means that the ball is momentarily at rest position and then begins to fall back down.
The acceleration(g) of the ball which is due to gravity will be constant and will act in downward direction , and this acceleration causes the velocity of ball to increase as it falls back downwards .
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the magnitude of the charge of the electron is group of answer choices exactly the same as the magnitude of the charge of the proton. much greater than the magnitude of the charge of the proton. much less than the magnitude of the charge of the proton. about the same as the magnitude of the charge of the proton. zero.
The same magnitude with the opposite sign (option-4) is the magnitude of the charge of the electron and the proton.
1) The atom's nucleus is surrounded by electrons, which are negative particles (in regions called orbitals).
2) The atom's nucleus contains the protons, which are the positive particles.
3) The atom's nucleus contains the same number of protons as there are electrons in its orbitals.
4) Because protons and electrons are equal in number and have the same magnitude but different signs of charge, atoms are neutral (neither positive nor negative): Positive Plus negative equals zero, or (+) + (-)=0.
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A sphere with radius 2. 0 mm carries a 3 μc charge. What is the potential difference, vb - va , between point b 3 m from the center of the sphere and point a 7 m from the center of the sphere? (the value of k is 9. 0 × 109 n∙m2/c2. )
The potential difference between point b and point a on the charged sphere with a 3 μC charge and a radius of 2.0 mm is [tex]1.57 * 10^5[/tex] volts.
The potential difference between two points on a charged sphere can be calculated using the formula for electric potential: V = k * Q / r, where k is Coulomb's constant ([tex]9.0 * 10^9 Nm^2/C^2[/tex]), Q is the charge on the sphere (3 μC), and r is the distance from the center of the sphere to the point in question. To find the potential difference, we subtract the potential at point a from the potential at point b.
Put values so find that the potential at point a is:
Va = k * Q / ra = ([tex]9.0 * 10^9 Nm^2/C^2[/tex]) * ([tex]3 * 10^-6 C[/tex]) / (7 m) = [tex]1.29 * 10^5[/tex] V.
And the potential at point b is:
Vb = k * Q / rb = ([tex]9.0 * 10^9 Nm^2/C^2[/tex]) * ([tex]3 * 10^-6 C[/tex]) / (3 m) = [tex]2.86 * 10^5[/tex] V.
The potential difference between the two points is then:
Vb - Va = [tex]2.86 * 10^5 V - 1.29 * 10^5 V[/tex] = [tex]1.57 * 10^5[/tex] V.
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the two lines on the p-v diagram are called isotherms, lines of constant temperature. which isotherm represents the higher temperature?
The two lines on the p-v diagram would be T2 because of their higher pressure if they were isotherms—lines of constant temperature.
What are the isotherms?An isotherm is a geographic line that connects locations with the same temperature at a particular time. The state of a gas will change on the PV diagram as it undergoes a thermodynamics process, drawing out a path as it progresses.
Isotherms are frequently used in meteorology to depict the temperature distribution at the Earth's surface, or to represent constant level or constant pressure on a chart.
A refrigerator operates isothermally. The refrigerator's mechanism goes through a lot of changes, but the temperature inside remains constant.
Therefore, the environment receives the heat energy that has been dissipated here. Another example of an isothermal process is the heat pump.
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Calculate the work done by a 50 N force pushing a pencil 0.5 m
The workdone in pushing the pencil through a distance of 0.5 m is 25 J.
What is work?
Work is the product of force and distance.
To calculate the work done in pushing the pencil, we use the formula below.
Formula:
W = Fd................................. Equation 1Where:
W = Work done in pushing the pencilF = Force = 50 Nd = 0.5 mFrom the question,
Given:
W = 50×0.5W = 25 JHence, the work done is 25 J
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the automobile has a speed of 80 ft>s at point a and an acceleration having a magnitude of 10 ft>s2, acting in the direction shown. determine the radius of curvature of the path at point a and the tangential component of acceleration.
The tangential component of acceleration is calculated to be 8.66 ft/s² and the radius of curvature is 1280 ft.
The tangential acceleration is known to be a measure of the rate of change in the magnitude of a velocity vector.
Speed of the automobile = 80 ft/s
Acceleration of the automobile a = 10 ft/s²
Construct a triangle with 30°, 60°, 90° with vector a as the hypotenuse, t and n as the legs.
an is the centripetal acceleration along n direction.
at is the tangential acceleration along t direction.
sinθ = an/a
an = a sinθ = 10 sin30° = 10(1/2) = 5 ft/s²
cosθ = at/a
at = a cosθ = 10 cos30° = 10(1/√2) = 10(0.866) = 8.66 ft/s²
From centripetal acceleration, we know,
an = v²/r
r = v²/an = 80²/ 5 = 1280 ft
Thus, the tangential component of acceleration is 8.66 ft/s² and the radius of curvature is 1280 ft.
The given question is incomplete without the figure. It is given in the attachment below.
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suppose an artificial satellite has been put into circular orbit about the earth, at a distance from the center of the earth equal to 1/4 the distance from the earth's center to the moon's center. in terms of the moon's period tm, what will be the period of the satellite?
The formula [tex]Ts = (tm^2 / rm^3)^(1/2) * (rm / 4)^(3/2)[/tex] if an artificial satellite has been put into circular orbit about the earth, at a distance from the center of the earth equal to 1/4 the distance from the earth's center.
To find the period of the satellite, we can use Kepler's Third Law of Planetary Motion, which states that the square of the period of a planet or satellite is proportional to the cube of its average distance from the center of the planet or central body. Mathematically, this can be expressed as:
[tex]T^2 = k * r^3[/tex]
where T is the period, r is the average distance from the center of the planet or central body, and k is a constant of proportionality.
Since we know the period of the moon (tm), we can find the constant of proportionality for the moon's orbit. Assuming the moon's orbit is circular, we have:
[tex]tm^2 = k * rm^3[/tex]
where rm is the average distance from the center of the earth to the moon's center.
Using this relationship, we can find k:
[tex]k = tm^2 / rm^3[/tex]
Next, we can use k to find the period of the satellite, given that the average distance from the center of the earth to the satellite is 1/4 the distance from the center of the earth to the moon's center
[tex]rs = rm / 4[/tex]
So the period of the satellite, Ts, is:
[tex]Ts^2 = k * rs^3[/tex]
[tex]Ts^2 = (tm^2 / rm^3) * (rm / 4)^3[/tex]
[tex]Ts = (tm^2 / rm^3)^(1/2) * (rm / 4)^(3/2)[/tex]
So the period of the satellite in terms of the moon's period (tm) is given by the formula:
[tex]Ts = (tm^2 / rm^3)^(1/2) * (rm / 4)^(3/2)[/tex]
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A snow boarder weights 300 N. The area of snow border is 0.5 m2. What is pressure on the snow?
Answer:
600 Pa
Explanation:
see attachment
hope this helps
a force pair is created when you push on a large crate that rests on the floor. the crate does not move when pushed. which free-body diagram correctly represents the forces acting on the crate? (note: vectors are not drawn to scale)
Each half of the force pair acts on a different object Free-body diagram correctly represents the forces acting on the crate.
In physics and engineering, a loose body diagram (FBD; additionally known as a pressure diagram) is a graphical example used to visualize the implemented forces, moments, and resulting reactions on a body in a given condition. It depicts a body or connected bodies with all the implemented forces and moments, and reactions, which act at the body(ies). The frame might also encompass multiple internal participants (along with a truss), or be a compact frame (together with a beam). a chain of loose bodies and other diagrams can be necessary to remedy complicated troubles.
Loose frame diagrams are used to visualize forces and moments implemented in a body and to calculate reactions in mechanics issues. those diagrams are frequently used to decide the loading of character structural components and to calculate inner forces inside a structure. they're used by maximum engineering disciplines from Biomechanics to Structural Engineering.
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two identical traveling waves, moveing in the same direction, areout of phase by pi/3 rad. what is the amplitude of the resultant wave in terms of the common amplitude ym of the two combining waves?
The amplitude of the resultant wave is equal to ym√(4.5).
What is resultant wave?Resultant wave is a wave that is created when two or more waves overlap. When two or more waves come together they combine and form a new wave, this is known as the resultant wave. The resultant wave is a combination of the individual waves that compose it and is affected by their frequency, amplitude, and phase. The resultant wave will have a frequency, amplitude, and phase that is different from that of the individual waves. When two waves of the same amplitude and frequency meet, the resultant wave will have an amplitude that is the sum of the individual waves' amplitudes.
The amplitude of the resultant wave is equal to the square root of the sum of the squares of the amplitudes of the two traveling waves. In this case,
the amplitude of the resultant wave is equal to the square root of (ym2 + ym2 + 2ym2 cos(π/3)) = ym√(2 + 2 cos(π/3)).
Since cos(π/3) = 1/2, the amplitude of the resultant wave is equal to ym√(4.5).
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if you wanted to sail around the globe but wanted to remain south of africa and south america, what single current could you use to speed up your trip?
Answer: electromagnetism
Explanation: hope this hel[ps
in a certain region of space the electric potential increases uniformly from east to west and does not vary in any other direction. the electric field:
In this case, the electric field in that area will cause a charged particle to experience a force in the direction of the increasing electric potential if it is discharged at a position with a lower electric potential.
When the electric potential is known to stay constant in a particular area of space, what is the electric field in that area?Zero There is no direction of greatest increase if the electric potential is constant. Therefore, anywhere inside the region of continuous electric field, the electric field is zero and the gradient of the electric potential is also zero.
What factors determine the electric field potential in a particular area of space?Only the x coordinate, where a and b are constants, determines the field potential in a specific area of space. Discover the space charge's Q(x) distribution. As V=ax3+b, the electric field potential at a given location in space only depends on the x coordinates.
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magine you are the observer shown on earth in the northern hemisphere. in seven months from the time shown, which constellation will be highest in the sky at midnight?
As an observer on Earth in the northern hemisphere, the constellation that will be highest in the sky at midnight in seven months will depend on the current season and the time of year.
Assuming that the current time is in February, the highest constellation in the sky at midnight in seven months, which would be September, will be Pisces. It rises in the east and sets in the west and reaches its highest point in the sky at around midnight during September. For example, in June, the highest constellation would be Scorpius, and in December, it would be Orion. This is because the Earth's orbit around the sun and its axial tilt change throughout the year, causing different constellations to be visible at different times.
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now describe the relationship between the force and the electric field. again, how are they related conceptually and mathematically?
The relationship between the force and the electric field is described by Coulomb's law is F = qE.
The relationship between the force and the electric field is described by Coulomb's law, which states that the force experienced by a point charge in an electric field is proportional to the magnitude of the charge and the electric field. Mathematically, Coulomb's law can be expressed as:
F = qE
where F is the force experienced by the point charge (q), E is the electric field, and q is the magnitude of the charge.
Conceptually, the electric field can be thought of as a field of force that is created by charged particles. A point charge placed in this field experiences a force proportional to both the magnitude of the charge and the strength of the field. This relationship between the electric field and the force experienced by a point charge forms the basis of Coulomb's law.
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You have been hired by a moving company, and your first assignment is to move heavy bedroom furniture including dressers. The company handbook states that all drawers should be removed from the dresser prior to moving it down a flight of stairs and that all dressers should be lifted instead of being dragged across floors to avoid friction. Explain how the handbook is using Newton's first and second laws of motion. Your answer should be three to four sentences in length and use proper grammar and punctuation. PLEASE HELP!!
The company handbook is using Newton's first law and second laws of motion to ensure the safe and efficient movement of heavy bedroom furniture.
By removing the drawers from the dressers before moving them down the stairs, the company is reducing the mass of the object being moved, making it easier to handle in accordance with Newton's first law of motion, which states that an object at rest will remain at rest and an object in motion will remain in motion with a constant velocity, unless acted upon by an external force. By lifting the dressers instead of dragging them, the company is reducing friction, which can cause the dressers to slow down or stop, and making it easier to move the dressers in accordance with Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
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a sheet of glass having an index of refraction of 1.40 is to be coated with a film of material having a refractive index of 1.55 such that yellow light with a wavelength of 580 nm (in vacuum) incident normally is preferentially transmitted. what is the minimum thickness of the film in nm that will achieve this result?
The minimum thickness of the film is 169.35 nm.
Wave interference is when two waves collide while traveling through the same medium. A wave is a point-by-point combination of two waves. Constructive interference occurs when the resulting wave is larger than either source wave. Destructive interference occurs when the resulting wave is smaller than the two source waves. Initial wavelength = π due to dense medium.
Δφ1 = π (4dnb/λ)
The minimum thickness of the film is reached after the result is calculated as
Δφ12 = Δφ1 − Δφ2
d= [tex]\frac{525}{3.1}[/tex]
d= 169.35 nm
Minimum thickness of the film will be 169.35 nm.
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what is the vertical component of the velocity just before the stone hits the ground, in meters per second?
The vertical component of velocity shortly before the stone reaches the ground equals the original vertical velocity ie, v m/s
The vertical component of an object's velocity right before impact can be computed using equations of motion. If we examine a gravity-affected item with a beginning velocity (v0) and no air resistance, its vertical velocity (v) may be given by the equation:
v = v0 - gt
where g is the gravitational acceleration (9.8 m/s2) and t is the time since the item was launched.
To calculate the vertical component of velocity immediately before the stone reaches the ground, we must first compute the time t required for the stone to reach the ground. The following equation may be used to compute this:
t = (v0 - v) / g
By reintroducing the value of t into the first equation, we obtain:
v = v0 - gt = v0 - g((v0 - v) / g) = v0 - (v0 - v) = v
It is crucial to note that this estimate assumes no air resistance and that the object is dropped from a height far lower than the radius of the Earth, allowing the curvature of the Earth to be ignored. In fact, air resistance may have a major impact on an object's velocity, particularly as it approaches the earth.
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Can someone help with this
OE is the required direction. Option B
What is the resultant force?Generally, The resultant force is the overall force acting on an object, taking into account the magnitude and direction of all individual forces acting on it. It can be calculated by adding or subtracting the individual forces vectorially, taking into account their direction and magnitude.
The direction of the resultant force is the same as the direction of the net force acting on the object, and its magnitude is equal to the vector sum of all the individual forces acting on the object.
Like charges repel each other( law of electrostatics ) since the central charge is negatively charged, other charges will be
attracted to it,.
Hence the direction of the resultant electric field will be towards
-Q (OE)
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discuss what will happen if the single cosinusoidal term on the rhs of of eq. 10.58 is replaced by two or more cosinusoidal terms, each with a different drive frequency.
Replacing the single co-sinusoidal term with two or more terms of different frequencies will lead to a more complex motion of the oscillator, with multiple oscillations superimposed on each other.
The resulting motion may exhibit resonance or chaotic behavior, depending on the frequencies of the driving forces and the natural frequency of the oscillator. This occurs when the frequency of the driving force matches the natural frequency of the oscillator, leading to a large amplitude oscillation. Frequencies of the driving forces are not in resonance with the natural frequency of the oscillator, the resulting motion may be chaotic, with the oscillator undergoing complex oscillations of varying frequencies and amplitudes.
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