She should use shorter focal length to fit the entire landscape which she is trying to photograph into her picture.
What is focal length?
The focal length is a measure of how strongly the system converges or diverges light.
A positive focal length indicates that a system converges light, while a negative focal length indicates that the system diverges light.
For a standard rectilinear lens,
FOV = 2 arctan (x/2f)
FOV ∝ 1 / f
where x is the diagonal of the film.
Focal length (f) and field of view (FOV) of a lens are inversely proportional.
From the equation we can say that,
A shorter focal length gives you a wide angle of view which allows more view to fit in the frame.
Hence,
She should use shorter focal length to fit the entire landscape which she is trying to photograph into her picture.
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you are the person in charge of building a nuclear power plant in florida. your first choice is to select a
Answer: you are the person in charge of building a nuclear power plant in Florida. your first choice is to select a site for building the power plant.
Explanation: To find the answer, we need to know more about the nuclear power plants and the criteria to select the site for power plant.
What you mean by nuclear power plants?Nuclear power can be defined from the nuclear fission reaction.These power plants will heat the water to produce steam and this steam is used to spin large turbines and thus generates electricity.How to select the site for nuclear power plant?We have to consider the following things,keep distance from populated area.distance from load center.Accessibility to site.Water availability and fuel availability.waste disposal.Thus, we can conclude that, before building a nuclear power plant, our first choice should be to select a site.
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A 75.0-kg man standing on a bathroom scale in an elevator. Calculate the scale in N, reading if the elevator moves upward at a constant speed of 1.5 m/s
A 75.0-kg man standing on a bathroom scale in an elevator, if the elevator moves upward at a constant speed of 1.5 m/s then the scale in N will be 885N accordance with Newton's law
The extent of the force being applied downward. If the human is selected to be the system of interest with a free-body diagram, the one-dimensional problem appears to be considerably more difficult. Both sections (a) and (b) of this example's analysis can be answered by analyzing the free-body diagram in accordance with Newton's laws, along with some other potential problems. In order to determine what the scale reads, the only forces operating on the subject are his weight w and the upward force of the scale, which are equal in strength and directed in opposing directions. Newton's law, as usual, can be used to do this.
F=Ma = F−w=ma⇒F=m(a+g)=75(2+9.8)=885 N.
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A gas is enclosed in a container fitted with a piston of cross-sectional area 0.10 m2 . the pressure of the gas is maintained at 8000 nm-2 . when heat is slowly transferred, the piston is pushed up through a distance of 4 cm. if 42 j heat is transferred to the system during the expansion, what is the change in internal energy of the system?
The change in internal energy is 10 J.
Calculation:Given,
Cross-sectional area, A = 0.10 m²
Pressure of gas, P = 8000 N/m²
Displacement, s = 4 cm = 0.04 m
Heat transferred, H = 42 J
To find,
Change in internal energy =?
We know that, as per Law of thermodynamics,
Change in internal energy = Heat - Work
Force = pressure × area
= 8000 × 0.10
= 800 N
Work = Force × Displacement
= 800 × 0.04
= 32 J
Change in internal energy = Heat - Work
= 42 - 32
= 10 J
Hence, the change in internal energy is 10 J.
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Far in space, where gravity is negligible, a 465 kg rocket traveling at 75.0 m/s in the positive x-direction fires its engines. The figure (Figure 1)shows the thrust force as a function of time. The mass lost by the rocket during these 30.0 s is negligible.
The impulse generated by the rocket is 15000 Ns
What is Impulse?In classical mechanics, the integral of a force, F, over the time period over which it acts, t, is known as the impulse (abbreviated J or Imp).Impulse is a vector quantity because force is one as well. When an item receives an impulse, its linear momentum also changes in the opposite direction in an analogous vector. The kilogram meter per second (kg m/s), which is dimensionally identical to the kilogram second (Ns), is the SI unit for momentum.For as long as it acts, a resultant force generates acceleration and a change in the body's velocity. The change in momentum is equal to the product of the average force and duration, hence a resultant force delivered over a longer period of time results in a greater change in linear momentum than a resultant force applied quickly.Solution:
Mass of the rocket = 465kg
Velocity of the rocket = 75m/s
Time taken = 30s
Impulse = [tex]I = F \Delta t[/tex]
[tex]I = \int F(t)dt[/tex]
Impulse so generated is equal to the area of triangle
I = [tex]\frac{1}{2} \times 30\times1000[/tex]
I = 15000 Ns
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In the circuit shown, switch S is first pushed up to charge the capacitor. When S is then pushed down, the current in the circuit will oscillate at a frequency of:
The current in the circuit will have an oscillation frequency of = 318 Hz
For oscillating frequencies, the time period, amplitude, and wavelength are the three most crucial components. The difference between the oscillation's highest and minimum points is represented by its amplitude, which is measured in terms of time.
The following formula can be used to get the oscillating wave's frequency from the time period:
Frequency (f) = 1/Time period
Oceanic waves and sound both require a minimum physical distance to complete an oscillation cycle. The term "wavelength" refers to a physical measurement between two points at regular intervals. The number of events in one unit of time is known as the frequency (f). The frequency of periodic motion is the number of oscillations per unit of time.
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Velocity can best be described by which of the following statements?
OA. The speed of gravity
O B. How far you have traveled
C. Speed in a given direction.
о D. Miles per second
Answer: Velocity can best be described as, the speed in a given direction.
Explanation: To find the answer, we need to know more about the Velocity of a body.
What is Velocity of a body?Velocity is the rate of change of displacement.It's a vector quantity and is measured in m/s.It can be positive, negative or zero.A body is said to be in uniform motion, then its velocity remains constant.Change in velocity can be a change in speed.The magnitude of velocity is less than or equal to speed.Thus, we can conclude that, the option C is best describing velocity.
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The speed in a certain direction is the best way to define velocity.
We need to learn more about a body's velocity in order to locate the solution.
What does a body's velocity mean?The rate of change of displacement is known as velocity.It has a vector value and is expressed in m/s.It may be zero, negative, or positive.When a body is moving uniformly, its velocity is said to be constant.Speed might alter depending on the change in velocity.Speed and the magnitude of velocity are not comparable.As a result, we can say that choice C best captures velocity.
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what behavior is mostly strongly associated with introversion in a personality.
Answer:
Need quiet to concentrate
Are reflective
Are self-aware
Take time making decisions
Feel comfortable being alone
Don’t like group work
Prefer to write rather than talk
And maybe even feel tired after being in a crowd
Explanation:
A uniform magnetic field cannot exert a magnetic force on a particle in which of the following circumstances
The particle moves parallel to the field
The particle is at rest.
If the magnetic field is uniform and the magnet dipoles are identical (apart from one being north pole and the other south pole) this two forces cancels out.
What is Uniform magnetic field ?A uniform magnetic field is a magnetic field that has the same magnitude and direction throughout the region under consideration, thus the field lines need to be both parallel and spaced out evenly.
It is represented by an equidistant set of parallel linesAn example of the uniform magnetic field over a wide area is the Earth's magnetic field.Learn more about Uniform magnetic field here:
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Two forces of magnitude 10n and 20n acting at an angle of 30 degree. what will be the x component of their resultant force?
The resultant of the forces is 29 N. Option D
What is the resultant force?The resultant force is the force that acts in a given direction. Now we have two forces as enumerated in the question.
Thus;
Resultant = √(10)^2 + (20)^2 - [2 * 10 * 20 * cos (60 - 30))
Resultant = 29 N
Thus, the resultant of the forces is 29 N.
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Missing parts;
Two forces of magnitude 10N and 20N act on a body in directions making angles 30° and 60° respectively with x-axis what is the resultant force
A.17N
B. 19N
C. 23N
D. 29N
E. 37N
A 3.5 mH inductor and a 4.5 mH inductor are connected in parallel. When the total emf of the combination is 16 V, the rate of change of the current in the larger inductor is:
The rate of change of the current in the larger inductor is 0.3mA/s.
To find the answer, we need to know about the relation between the emf and inductance.
What's the mathematical expression to find the emf in term of inductance?Mathematically, emf induced across an inductor= L× (dI/dt)L= inductance and dI/dt = rate of change of currentWhat is the rate of change of current in 4.5 mH when when the total emf of the combination is 16 V?As both the inductors are connected in parallel, so emf of the combination remains same across each inductor.Emf induced in 4.5mH = 16 V dI/dt = 4.5mH / 16 = 0.3 mA/sThus, we can conclude that the rate of change of the current in the larger inductor is 0.3mA/s.
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The spectral type of this star is listed as K5V. (V means it is a main sequence star.) Based on the table below, how does the surface temperature of this star compare with that of HIP 87937
It turns out that the star in question belongs to the K5V star class. Thus, the surface temperature of this must be between 5200 K and 3700 K. It has a surface temperature of 6200 K to 5200 K and is a G2V class star, commonly known as Bernard's star. In other words, the star in question has a colder surface than HIP 87937. This is further explained below.
What is surface temperature?Generally, The temperature at a surface is referred to as the surface temperature. In particular, it may refer to the surface air temperature, which is the temperature of the air that is relatively close to the earth's surface.
In conclusion, The star in question is of the K5V type. Therefore, the temperature of the surface of this must be somewhere between 5200 and 3700 kelvin. The star with the designation HIP 87937, often known as Bernard's star, is of the G2V type. Stars of this type have a surface temperature that falls anywhere between 6200 and 5200 degrees Celsius. Therefore, it should come as no surprise that the surface temperature of the given star is lower than that of HIP 87937.
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Answer: It is hotter because K is before M
Explanation:
The actual surface temperature of this star is 4600 KK compared to 3100 KK for the M4 star in Parts A and B.
Determine the lamp wattage required to obtain an illumination level of 50 f-c over a 100 ft2 area if a fixture is used with a CU of 0.75 and 80% of the available light reaches the work surface, the rest being absorbed by walls and other items in the space. Assume a luminous efficacy of 70 lumens/watt.
Lamp Wattage is utilized with a CU of 0.75 and 80 percent of the available light reaches the work surface, the remaining 20 percent is absorbed by walls and other objects in the space, resulting in an illumination level of 50 f-c over a 100 ft2 area
The term "lumen" refers to the emission of "luminous flux," which is a measurement of the total amount of visible light emitted by a source in a certain amount of time. The illumination level over a 100 ft2 area will be 50 f-c Lamp Wattage with a CU of 0.75 used, with 80 percent of the available light reaching the work surface and the remaining 20 percent being absorbed by walls and other objects in the room.
Total Lamp Wattage = Number of Lamps X Wattage of Each Lamp.
The fixtures' total wattage is 2 x 32, or 64 watts.
Lumen per Fixtures equals Lumen Efficiency (Lumen per Watt) times the Watt of each Fixture
85x 64 = 5440 lumens per fixture.
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The maximum height a typical person can jump is about 60cm (0.6m). By how much does the gravitational potential energy increase for a 72kg person in such a jump? Where does this energy come from? (What do I have to find here?)
The gravitational potential energy will increase by 423.36 J
How to determine the potential energy at ground levelMass (m) = 72 kgAcceleration due to gravity (g) = 9.8 m/s²Height (h) = 0 mPotential energy at ground level (PE₁) =?PE = mgh
PE₁ = 72 × 9.8 × 0
PE₁ = 0 J
How to determine the potential energy at 60 cm (0.6 m)Mass (m) = 72 kgAcceleration due to gravity (g) = 9.8 m/s²Height (h) = 0.6 mPotential energy at 60 cm (0.6 m) (PE₂) =?PE = mgh
PE₂ = 72 × 9.8 × 0.6
PE₂= 423.36 J
How to determine the change in potential energy Potential energy at ground level (PE₁) = 0 JPotential energy at 60 cm (0.6 m) (PE₂) = 423.36 JChange in potential energy =?Change in potential energy = PE₂ - PE₁
Change in potential energy = 423.36 - 0
Change in potential energy = 423.36 J
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An airplane is flying on a bearing of 170° at 495 mph. Find the component form of the velocity of the airplane. Be sure to show and explain your work.
The horizontal component of the plane's velocity is 85.96 mph and the vertical component of the plane's velocity is 487.5 mph.
Component form of the velocity of the airplane
The component form of the velocity of the airplane includes both horizontal and vertical velocity and it is calculated as follows;
Vx = V cosθ
Vy = V sinθ
where;
Vx is horizontal component of the velocityVy is vertical component of the velocityθ is the angle of the velocity measured with respect to horizontal axisθ = 170 - 90 = 80⁰
Horizontal component of the velocityVx = 495 mph (cos 80)
Vx = 85.96 mph
Vertical component of the velocityVy = 495 mph (sin 80)
Vy = 487.5 mph
Thus, the horizontal component of the plane's velocity is 85.96 mph and the vertical component of the plane's velocity is 487.5 mph.
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In ptolemy's system the planets orbit the earth and not the sun. how did the system explain the retrograde motion of planets like jupiter?
In ptolemy's system the planets orbit the earth and not the sun , the system explain the retrograde motion of planets like jupiter as planets move on two sets of circles, a deferent and an epicycle. It held that the planets moved along small circles that moved on larger circles around Earth, and that the combined motion sometimes resulted in backward motion.
Retrograde motion, in astronomy, actual or apparent motion of a body in a direction opposite to that of the (direct) motions of most members of the solar system or of other astronomical systems with a preferred direction of motion.
Retrograde motion is an apparent change in the movement of the planet through the sky. It is not real in that the planet does not physically start moving backwards in its orbit. It just appears to do so because of the relative positions of the planet and Earth and how they are moving around the Sun.
Claudius Ptolemy , argued that planets move on two sets of circles, a deferent and an epicycle. This explained retrograde motion while keeping the planets in their circular orbits around the Earth.
It held that the planets moved along small circles that moved on larger circles around Earth, and that the combined motion sometimes resulted in backward motion.
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You are raising up a big bucket of water from a 22.5 m deep well. The combined mass of the water and the bucket is 11.3 kg. The bucket is attached to a heavy duty steel chain. The mass of the chain is 17.9 kg. How much work do you perform during the lifting process? Tries 0/12 If it takes 1.75 minutes for you to raise the bucket of water out of the well, then what was your average power?
The amount of work done during the lifting process is 4465.125 J and our average power will be 42.525 W.
Given:
Depth of the well, h = 22.5m
Mass of heavy-duty steel chain, M = 17.9 kg
The combined mass of the water and bucket, m = 11.3 kg
time taken to raise the bucket out of the water, T = 1.75 min = 105 s
Calculation:
Consider that the center of mass of the steel chain is at the midpoint of the depth of the well.
Now, the work done during the lifting process can be calculated as:
W.D = (Work done in lifting bucket filled with water) + (work done to lift
the steel chain)
W.D = mgh + Mg (h/2) -( 1 )
where g is the acceleration due to gravity
Applying values in the above equation we get:
W.D = mgh + Mg (h/2)
= (11.3 kg)(9.8 m/s²)(22.5 m) + (17.9 kg)(9.8 m/s²)(22.5 m / 2)
= 2491.65 + 1973.475
= 4465.125 J
We know that the average power is given as:
P_avg = W.D / T - ( 2 )
where W.D is the work done during the lifting process
T is the time taken to raise the bucket out of the well
Applying values in the above equation, we get:
P_avg = W.D / T
= (4465.125 J)/(105 s)
= 42.525 W
Therefore, the amount of work done during the lifting process is 4465.125 J and our average power will be 42.525 W.
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Some tornadoes have central downdrafts that accompany the massive rotating updrafts.
a. True
b. False
Some Tornadoes have central downdrafts that accompany the massive rotating updrafts. True
Mid-altitude winds come into the storm from the rear (or on the west or southwest side). As this dry, cool air enters the system, rain evaporates, cooling it even more. The cooling air becomes cooler than the surrounding air, sinks, and forms a strong downdraft.
Updrafts characterize a storm's early development, during which warm air rises to the level where condensation starts and precipitation starts to expand. In a mature storm, updrafts are present alongside downdrafts caused by cooling and falling precipitation.
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A kettle was tested for its energy efficiency. Its power rating was 900 W. Over the course of 4 minutes and 30 seconds, its useful energy output was 0.05 kWh. How do I answer this ?
A kettle was tested for its energy efficiency. Its power rating was 900 W. Over the course of 4 minutes and 30 seconds, its useful energy output was 0.05 kWh
Energy is referred to by scientists as the capacity for work. People have figured out how to transform energy from one form to another and then use it to accomplish tasks, making modern civilization possible.
Thermal energy, radiant energy, chemical energy, nuclear energy, electrical energy, motion energy, sound energy, elastic energy, and gravitational energy are among the several types of energy.
The ability to perform tasks is referred to as energy. Formula. Potential energy is the energy that an object has stored because of its position and height, and it may be calculated using the following formula: P.E. equals mgh.
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Some fish have a density slightly less than that of water and must exert a force (swim) to stay submerged. What force must an 85.0-kg grouper exert to stay submerged in salt water if its body density is
The force require to keep grouper submerged is 8.207N.
According to Archimedes principle buoyant force of any object must equal to weight of fluid it displaced.
The expression for the force exerted to stay submerged in salt water is
F = F(b) - w(fish)
where F(b) = buoyant force
w(fish) = weight
now substitute w(b) for F(b)
→ F = Vρg - w(fish)
where V = volume of sea water
ρ = density of sea water
Now by Archimedes principle V = m(fish) / ρ(fish)
→ F = (m(fish) / ρ (fish) ) ρg - m(fish)g
F = (85 kg/1015 kg-m^-3) (1.025× 10³ kg-m^-3) (9.8 m/s^2)
- (85kg) × 9.8 m/s^2
F = 841.207N - 833N
F = 8.207 N
Hence, the force require to keep grouper submerged is 8.207N.
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A current of 2.0 A flows through a circuit containing a motor with a resistance of 12 ohm how much energy is converted if the motor runs for a minute
The energy converted is 48 Joules
How to determine the energyWe have the formula for energy in a circuit as
Energy = Power × time
Power = I^2 R
Current, I = 2.0 A
time = 1 minute
Resistance = 12 Ohm
Substitute into the formula
Power = 2 × 2 × 12
Power = 48 Watts
Energy = 48 × 1
Energy = 48 Joules
Thus, the energy converted is 48 Joules
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step by step process please
I know the ans but not the process
pic attached
Answer:
[tex]\huge\boxed{\sf F= 350 \ N}[/tex]
Explanation:
Considering pivot as the central point,
Key:
Torque = Force F × radius rAnticlockwise torque = Clockwise torque[tex]F_1r_1=F_2r_2[/tex]
Here,
Anticlockwise force is FClockwise force is 600 N[tex]r_1=70+50= 120 \ cm = 1.2 \ m[/tex][tex]r_2=70 \ cm = 0.7 \ m[/tex]Solution:Substitute the givens in the above formula.
[tex]F(1.2)=600(0.7)\\\\F(1.2)=420\\\\Divide \ 1.2 \ to \ both \ sides\\\\F=420/1.2\\\\F= 350 \ N\\\\\rule[225]{225}{2}[/tex]
Consider a pipe of length l that is open at both ends. What are the wavelengths of the three lowest-pitch tones produced by this pipe?.
The correct option is D.
The three lowest-pitch tones generated by this pipe have wavelengths of = 2 L, L, 2 L/3
What is meant by wavelength?Measuring a wave's size from one peak to the next is all that is required. The wavelength is only the separation between the crests of the successive waves, if one thinks of a sound wave as being similar to a water wave.
According to the given Information:The length of a pipe with an opening at either end and a length l is given by:
[tex]l=\frac{n \lambda}{2}[/tex]
or
[tex]\lambda=\frac{2 l}{n}[/tex]
Initial pitch tone: n = 1.
[tex]\lambda_{1}=2 l[/tex]
The first pitch tone has n = 2
[tex]\begin{aligned}\lambda_{2} &=\frac{2 l}{2} \\\lambda_{2} &=l\end{aligned}[/tex]
The initial pitch tone has n = 3.
[tex]\begin{aligned}&\lambda_{3}=\frac{2 l}{3} \\&\lambda_{3}=\frac{2 l}{3}\end{aligned}[/tex]
The three lowest-pitch tones generated by this pipe have wavelengths of 2 L, L, and 2 L/3, respectively.
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I understand that the question you are looking for is :
Consider a pipe of length L that is open at both ends. What are the wavelengths of the three lowest-pitch tones produced by this pipe?
Answer
A. 2L, L, L/2
B. 2L, L, L/2
C. 4L, 2L, L
D. 2L, L, 2L/3
E. 4L, 4L/3, 4L/5
What mass of steam at 100 ∘C must be added to 1.70 kg of ice at 0 ∘C to yield liquid water at 15 ∘C ? The heat of fusion for water is 333 kJ/kg , the specific heat is 4186 J/kg⋅C∘ , the heat of vaporization is 2260 kJ/kg .
The heat needed to turn water into ice at zero degrees is expressed as mL = 1.70*333000 = 566100 J. specific heat of vaporization is necessary to raise its temperature.
a unit mass's transition from a liquid at its boiling point to a gas at the same temperature, measured in terms of heat. is the specific heat of vaporization
The quantity of energy (enthalpy) that must be added to a liquid substance in order to convert some of that substance into a gas is known as the heat of evaporation. At 100 °C, which is the boiling point of water, the specific heat of vaporization for water is about 540 cal/g.
It should be noted that even at lower temperatures, some water molecules—those that happen to have high kinetic energy—will escape from the water's surface. When temperatures reach a specific level, known as the crucial temperature, specific heat of vaporization totally disappears.
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Example of a solid that sunlines is ( ? )
An example of a solid that sunlines is a billboard.
What is a billboard?A billboard simply refers to a very large board which is usually, frequently and most of the time used for displaying advertisements
So therefore, an example of a solid that sunlines is a billboard
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___________ is defined as intentionally directing someone to or away from specific areas based on the ethnicity of the person or the area.
Steering is defined as intentionally directing someone to or away from specific areas based on the ethnicity of the person or the area.
There are generally three terms used in real estate and that are Steering, Redlining and Blockbusting.
Buyers are guided by steering according to their class.
Redlining mainly refers to the loan industry's discrimination against purchasers.
Blockbusting is the practice of persuading residents of a neighborhood to sell their home because the socioeconomics of the area are deteriorating.
Steering is the act of influencing a buyer's selection of a community based on one of the racial, ethnic, religious, gender, familial, or national origin protected categories listed in the Fair Housing Act.
Hence, Steering is defined as intentionally directing someone to or away from specific areas based on the ethnicity of the person or the area.
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P waves ________. P waves ________. are faster than S waves and surface waves have higher amplitudes than do S waves propagate only in solids produce the strongest ground shaking
P waves are faster than S waves and surface waves.
Surface wavesA surface wave in physics is a mechanical wave that travels at the interface of two different media. Gravity waves on the surface of liquids, like ocean waves, are an example that is frequently used. When two liquids with different densities come together, gravity waves can also form at that junction. Solid surfaces can experience elastic surface waves like Rayleigh or Love waves. The way that electromagnetic waves can be steered along a gradient in refractive index or at the boundary between two substances with varying dielectric constants is known as "surface wave" propagation. A guided wave that travels relatively close to the Earth's surface constitutes a ground wave in radio transmission.
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When making segmented bends, the bend radius is the distance from the center point of the circle or object to
When making segmented bends, the bend radius is the distance from the center point of the circle or object to the centerline of conduit.
What is centerline of conduit.Segment bending is a technique for bending conduit in which numerous tiny bends are combined to form a single, bigger bend. Measure from the elbow's center at the bend's CenterPoint to the intersection of the "degrees of bend" lines to determine your centerline radius (see image above). In fact, the CLR may be determined by obtaining this measurement from any point on the elbow. The distance between segments is calculated by dividing the developed length by the number of shots. When making segmented bends, the bend radius is the distance from the center point of the circle or object to the centerline of conduit. To calculate the degrees per shot, divide 90 degrees by the quantity of shots. Regardless of how many lanes a road or highway has, centerline miles are used to quantify their length. Centerline of conduit miles between the two sides of a divided highway might differ slightly due to divergences and curves. Compared to lane miles, centerline miles provide a more understandable indication of a road's overall length.
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The evolutionary cutoff between low- and high-mass stars occurs at approximately:
The evolutionary cutoff between low- and high-mass stars occurs at eight (8) M.
What are high-mass stars?The high-mass stars are celestial bodies that exhibit a high level of luminosity and lived for short periods of time.
Conversely, low-mass stars are small and cool stars that lived for a long period of time.
In conclusion, the evolutionary cutoff between low- and high-mass stars occurs at eight (8) M.
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If you take a given pendulum to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of the pendulum will
As the acceleration of gravity is less on the moon than on the Earth, thus the resonant frequency of the pendulum will be less on the moon.
Explanation:
The acceleration due to gravity is less on the moon than the gravitational acceleration on the earth. It is required to examine how the resonant frequency of a pendulum is changed on the moon compared to the earth.
We know that the resonant frequency is dependent on the acceleration of gravity.
[tex]$f=\frac{1}{2 \pi} \sqrt{\frac{g}{l}}$[/tex] where g is the acceleration due to gravity and l is the length of the string.
From the above equation, it is clear that the resonant frequency is directly proportional to the square root of the acceleration due to gravity.
The gravitational acceleration on the moon is less than that on the earth.
Therefore the resonant frequency of the pendulum on the moon is less than that on the earth.
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a charged partocle produces an electric field with a magnitude of 2.0 N/C at a point that is 50cm away from the particle
The charge on the particle is 5.6 × 10⁻¹¹ C.
Calculation:The magnitude of an electric field produced by a charge is given by:
E = q/ 4πε₀r²
where,
E = electric field
q = charge
r = distance
1/4πε₀ = 8.99 × 10⁹ Nm²/C²
Given,
E = 2.0 N/C
r = 50 cm = 0.5 m
To find,
q =?
Put the values in the above equation:
E = q/ 4πε₀r²
q = E (4πε₀r²)
q = 2.0 × (0.50²)/ 8.99 × 10⁹
q = 5.6 × 10⁻¹¹ C
Therefore, the particle has a charge of 5.6 × 10⁻¹¹ C.
What is an electric field?The physical field that surrounds each electric charge and acts to either attract or repel all other charges in the field is known as an electric field. Electric charges or magnetic fields with different amplitudes are the sources of electric fields.
I understand the question you are looking for is this:
A charged particle produces an electric field with a magnitude of 2.0 N/C at a point that is 50 cm away from the particle. What is the magnitude of the particle's charge?
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