Two slits spaced 0. 0720 mm apart are 0. 800 m from a screen. Coherent light of wavelength λ passes through the two slits. In their interference pattern on the screen, the distance from the center of the central maximum to the first minimum is 3. 00 mm. The intensity at the peak of the central maximum is 0. 0700 W/m2. What is the intensity at point on the screen that is 2. 00 mm from the center of the central maximum? What is the intensity at point on the screen that is 1. 50 mm from the center of the central maximum?

Answers

Answer 1

The intensity at a point on the screen 2.00 mm from the center of the central maximum is approximately 0.034 W/m². The intensity at a point on the screen 1.50 mm from the center of the central maximum is approximately 0.024 W/m².

I = Imax cos² (πd sin θ / λ),

where Imax is the intensity at the center of the interference pattern, d is the distance between the two slits, θ is the angle between the line connecting the point on the screen to the center of the interference pattern and the line perpendicular to the screen, and λ is the wavelength of the light.

To find the angle θ, we can use the small angle approximation:

sin θ ≈ θ ≈ y/L,

where y is the distance from the center of the interference pattern to the point on the screen, and L is the distance between the slits and the screen.

We are given d = 0.0720 mm, λ = unknown, L = 0.800 m, Imax = 0.0700 W/m², and the distance from the center of the central maximum to the first minimum y = 3.00 mm.

Using the given distance y, we can find the value of sin θ:

y/L = sin θ,

3.00 mm / 0.800 m = sin θ,

sin θ = 0.00375.

Now we can solve for the wavelength λ:

Imax cos² (πd sin θ / λ) = I,

0.0700 W/m² cos² (π(0.0720 × 10⁻³ m)(0.00375) / λ) = I,

cos² (π(0.0720 × 10⁻³ m)(0.00375) / λ) = I / 0.0700 W/m²,

π(0.0720 × 10⁻³ m)(0.00375) / λ = ± cos⁻¹ (√(I / 0.0700 W/m²)),

λ = π(0.0720 × 10⁻³ m)(0.00375) / cos⁻¹√(I / 0.0700 W/m²)),

λ = 5.70 × 10⁻⁷ m (for the positive root).

Now we can find the intensities at the given distances from the center of the central maximum.

For y = 2.00 mm:

sin θ = y/L = 2.00 mm / 0.800 m = 0.00250,

I = Imax cos² (πd sin θ / λ)

I = 0.0700 W/m² cos² (π(0.0720 × 10⁻³m)(0.00250) / (5.70 × 10⁻⁷ m))² ≈ 0.034 W/m².

So the intensity at a point on the screen 2.00 mm from the center of the central maximum would be approximately 0.034 W/m².

For y = 1.50 mm:

sin θ = y/L = 1.50 mm / 0.800 m = 0.001875,

I = Imax cos² (πd sin θ / λ)

I= 0.0700 W/m² cos² (π(0.0720 × 10⁻³m)(0.001875) / (5.70 × 10⁻⁷ m))² ≈ 0.034 W/m².

I ≈ 0.024 W/m².

So the intensity at a point on the screen 1.50 mm from the center of the central maximum would be approximately 0.024 W/m².

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Related Questions

(240)(240-60(c), 240-83(c) Overcurrent devices must be designed and rated to clear fault current and must have a short-circuit interrupting rating sufficient for the available fault levels. The minimum interruption rating for circuit breakers is _____ ampere and ____ ampere for fuses.

Answers

The summary, the minimum interruption rating for circuit breakers is 5,000 amperes, and 10,000 amperes for fuses, according to the [tex]NEC[/tex].

Why will be Overcurrent devices must be designed?

According to the National Electrical Code[tex](NEC)[/tex] sections [tex]240-60(c)[/tex] and [tex]240-83(c)[/tex], overcurrent devices must be designed and rated to clear fault current and must have a short-circuit interrupting rating sufficient for the available fault levels.

The minimum interruption rating for circuit breakers is 5,000 amperes, and 10,000 amperes for fuses.

The interrupting rating of an overcurrent device refers to its ability to safely interrupt or break the circuit during a short circuit or fault condition.

The interrupting rating is determined by the available fault current at a specific location and is expressed in amperes.

For circuit breakers, the [tex]NEC[/tex] requires a minimum interrupting rating of 5,000 amperes.

This means that the circuit breaker must be able to safely interrupt or break the circuit during a fault condition with a maximum available fault current of 5,000 amperes.

For fuses, the [tex]NEC[/tex] requires a minimum interrupting rating of 10,000 amperes. This means that the fuse must be able to safely interrupt or break the circuit during a fault condition with a maximum available fault current of 10,000 amperes.

It's important to note that the interrupting rating is just one of several factors to consider when selecting an overcurrent device.

Other factors include the continuous current rating, the trip curve, and the voltage rating.

The selected overcurrent device must be able to handle the expected load and any anticipated fault conditions.

In summary, the minimum interruption rating for circuit breakers is 5,000 amperes, and 10,000 amperes for fuses, according to the [tex]NEC[/tex].

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Question 35 Marks: 1 Incinerators are rated in terms ofChoose one answer. a. percent fuel capacity per day b. BTUs per day c. tons of burnable waste per day d. cubic feet of solid waste per day

Answers

c. Incinerators are rated in terms of tons of burnable waste per day. This rating helps to determine the capacity of the incinerator and the amount of waste it can safely and efficiently dispose of.

Incinerators are waste management facilities that use controlled combustion to thermally treat and dispose of solid and liquid waste. They are designed to burn and convert waste into ash, gases, and heat.

The process of incineration involves loading the waste into a furnace or combustion chamber, where it is subjected to high temperatures of up to 1000-1200°C. The heat generated during the process is used to evaporate and remove any moisture present in the waste, and then to initiate and sustain combustion.

The waste is burned and converted into ash, gases, and heat. The ash is collected and disposed of in landfills, while the gases produced during the process are typically treated before being released into the atmosphere.

Incineration can be used to treat a variety of waste streams, including medical and hazardous waste, municipal solid waste, sewage sludge, and industrial waste. It has several advantages, such as reducing the volume of waste, generating energy, and reducing the need for landfill space.

However, incineration also has several environmental and health concerns. The release of pollutants and toxic substances during the process, such as dioxins, furans, and heavy metals, can have harmful effects on human health and the environment. Therefore, the operation of incinerators is strictly regulated and subject to emission standards to ensure that they do not pose a threat to public health and the environment.

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blocks a, b, and c are aligned along a straight line on a horizontal frictionless surface. the masses of the blocks are m, 2m, and 3m, respectively. block a is initially moving to the right along the same line at a speed v, as shown in the figure above. blocks b and c are initially at rest. block a collides with and sticks to block b. the two blocks then collide with and stick to block c. what is the speed of block c after the collisions?

Answers

The speed of block C after the collisions is v/6.

What is Momentum?

Momentum is a physical quantity that measures the motion of an object. It is the product of an object's mass and velocity. The momentum of an object in a particular direction is given by the formula: p = m*v, where p is the momentum, m is the mass of the object, and v is its velocity. The momentum of an object can be changed by applying a force to it, resulting in an acceleration that will cause a change in velocity, and therefore, a change in momentum.

By conservation of momentum, the total momentum before the collision is equal to the total momentum after the collision. Before the collision, block A has momentum mv, and blocks B and C have zero momentum. After the collision between A and B, the two blocks move together with momentum (m + 2m)v = 3mv. By conservation of momentum, the momentum of block C after the collision is also 3mv, since there are no external forces acting on the system of blocks.

After the collision between blocks A and B, the total mass of the two blocks is m + 2m = 3m, so their velocity is v/3. When they collide with block C, the total mass of the three blocks is m + 2m + 3m = 6m, so their velocity after the collision is (v/3)(3) / 6 = v/6.

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What type of electromagnetic radiation is light with a wavelength of 10 meters? Use the electromagnetic spectrum show.

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The type of electromagnetic radiation is Radiowaves which have a wavelength of 10 meters.

Since these waves have a longer wavelength, they are used for communication over long distances. Some examples of sources that emit these radiations - radiowaves - are TV and radio stations, cell phone towers, as well as satellites.

Radio waves are very beneficial as they can travel long distances without any power losses and getting absorbed or scattered by the atmosphere. Also, radio waves are non-ionizing and generally considered safe for human exposure. They are widely used in many applications, including broadcasting, navigation, remote sensing, and medical imaging.

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What will not produce a pitching moment?a.) A camber airfoil that is developing zero liftb.) A camber airfoil that is at a POSITIVE Angle of Attackc.) symmetrical airfoil at a zero AOAd.)

Answers

A pitching moment is produced when there is a difference in pressure on the top and bottom surfaces of an airfoil. The pressure difference creates a torque around the aircraft's lateral axis, causing the aircraft to pitch up or down.

In other words, any situation that causes a difference in lift between the two wings or between the front and rear of the aircraft will produce a pitching moment.
Therefore, option A, a camber airfoil that is developing zero lift, will not produce a pitching moment since there is no difference in pressure between the top and bottom surfaces. Option B, a camber airfoil at a positive angle of attack, will produce a pitching moment since the difference in pressure between the top and bottom surfaces increases as the angle of attack increases. Option C, a symmetrical airfoil at a zero AOA, will not produce a pitching moment since the airfoil has no camber and there is no difference in pressure between the top and bottom surfaces.
In summary, a situation where there is no difference in pressure between the top and bottom surfaces of an airfoil will not produce a pitching moment.

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33. A bicycle with wheels of radius 0.4 m travels on a level road at a speed of 8 m/s. What is the angular speed of the wheels?
A) 10 rad/s
B) 20 rad/s
C) (p/10) rad/s
D) (10p) rad/s
E) (20/p) rad/s

Answers

The angular speed of the wheels is 20 rad/s. When  a bicycle with wheels of radius 0.4 m travels on a level road at a speed of 8 m/s.

The linear speed of a point on the edge of a wheel is equal to the product of the angular speed and the radius of the wheel. Therefore, we can use the formula:
linear speed = angular speed x radius
To find the angular speed, we can rearrange this formula as:
angular speed = linear speed / radius
Plugging in the given values, we get:
angular speed = 8 m/s / 0.4 m = 20 rad/s
Therefore, the angular speed of the wheels is 20 rad/s, the answer is (B) 20 rad/s.

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Rank the following in order of increasing force of attraction between its submicroscopic particles: (a) sugar, (b) water, (c) air.

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The order of increasing force of attraction between submicroscopic particles is (c) air < (b) water < (a) sugar.

This is because sugar molecules have stronger intermolecular forces of attraction than water, and air molecules have weak intermolecular forces of attraction compared to both sugar molecules and water molecules.Force of attraction is a force that pulls the body near due to its attraction. There are numerous attractive forces prevailing in nature. Some of them are magnetic force, electric force, electrostatic force and gravitational force

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Question 64
Probably the best understood type of microwave induced injury involves:
a. The skin
b. Excessive heating of internal organs
c. The liver
d. Squamous cell destruction

Answers

a. The skin is the correct option. Microwave-induced injury is best understood when it involves the skin. Microwaves are a form of electromagnetic radiation that can cause heating effects on living tissues. When the skin is exposed to microwaves, the energy is absorbed, causing an increase in temperature that may lead to tissue damage.

Squamous cell destruction is a term related to the damage or destruction of squamous cells, which are flat, scale-like cells that make up the outer layer of the skin called the epidermis. While microwaves can cause damage to these cells, the broader category of microwave-induced injury on the skin encompasses a wider range of possible effects, making it a better-understood phenomenon.
Excessive heating of internal organs, such as the liver, can occur due to microwave exposure, but the mechanisms and effects are less well-understood than those involving the skin. The skin acts as the first line of defense against microwave radiation, making it more susceptible to injury compared to deeper organs.
To summarize, microwave-induced injury is best understood when it involves the skin, as the skin absorbs microwave radiation and is prone to temperature increases that can cause tissue damage, including squamous cell destruction. Other effects of microwaves, such as excessive heating of internal organs, are less well-understood, making the skin the primary focus of study for this type of injury.

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What size THHN conductor is required for a 50 ampere circuit, listed for use at 75 degrees C?

Answers

For a 50 ampere circuit listed for use at 75 degrees Celsius, a #6 THHN conductor is required.

To determine the size of the THHN conductor required for a 50-ampere circuit listed for use at 75 degrees C, we need to consult the NEC (National Electric Code) Table 310.16, which provides ampacity ratings for different sizes of conductors at different temperatures.

According to Table 310.16, a 50-ampere circuit requires a minimum of #6 AWG THHN conductor for use at 75 degrees C.

It's important to note that this answer assumes certain conditions, such as a single-phase, 120/240V circuit, and other factors that may affect conductor sizing. It's always best to consult the NEC and local codes, as well as a qualified electrician, to ensure proper conductor sizing and installation for a specific application.

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Question 63 Marks: 1 Everyone is subject to natural background radiation.Choose one answer. a. True b. False

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Everyone is subject to natural background radiation is (a). true statement because natural background radiation, which includes radiation from the environment and natural sources including radon gas from the ground, cosmic rays from space, and radioactive elements in the earth's crust, is a risk to everyone.

Humans are inevitably exposed to this type of radiation on a regular basis, albeit the amounts differ according to altitude, geography, and other factors. The amount of ionizing radiation in the environment at a specific location that isn't the result of intentional introduction of radiation sources is known as background radiation.

There are many different natural and man-made sources of background radiation. In addition to man-made medical X-rays, radioactive fallout from nuclear weapons testing, and nuclear accidents, these include cosmic radiation as well as environmental radioactivity from naturally occurring radioactive minerals (such as radon and radium).

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A raceway contains four current-carrying conductors. What size conductor is required to supply a 40 ampere non-continuous load?

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To determine the size conductor required to supply a 40 ampere non-continuous load in a raceway that contains four current-carrying conductors, you will need to consult the NEC (National Electrical Code) tables for conductor ampacity.

Based on the NEC tables, for four current-carrying conductors in a raceway, you will need a conductor rated for at least 70 amperes. Therefore, a 6 AWG (American Wire Gauge) copper conductor would be suitable for supplying a 40 ampere non-continuous load in this scenario. It is important to note that this answer assumes that the installation meets all other code requirements, such as proper wire insulation and protection.

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5217 - What performance is a characteristic of flight at maximum lift/drag ratio in a propeller-driven airplane?- gain in altitude over a given distance- range and maximum distance glide- coefficient of lift and minimum coefficient of drag

Answers

Maximum range and maximum distance glide are performance characteristics of flight at maximum lift/drag ratio in a propeller-driven airplane. So, option b is right choice.

When a propeller-driven airplane is flying at maximum lift/drag ratio, it means that it is flying at its most efficient speed, where the lift generated by the wings is equal to the drag created by the airplane's motion through the air. This results in a number of performance characteristics that are beneficial for the aircraft.
One of the key characteristics of flight at maximum lift/drag ratio is the ability to gain altitude over a given distance. Since the airplane is operating at its most efficient speed, it is able to climb more easily and quickly than it would at other speeds.

This can be particularly important in situations where the airplane needs to gain altitude rapidly, such as during takeoff or when flying through turbulent air.
Another important characteristic of flight at maximum lift/drag ratio is the ability to achieve maximum range and maximum distance glide.

Since the airplane is operating at its most efficient speed, it is able to cover the greatest distance for a given amount of fuel, making it ideal for long-distance flights.

Additionally, if the airplane were to experience an engine failure, it would be able to glide for the greatest distance before needing to land.
Finally, flight at maximum lift/drag ratio is characterized by a high coefficient of lift and a low coefficient of drag. This means that the airplane is able to generate a greater amount of lift while producing less drag, which helps to maximize its efficiency.

The high lift coefficient also allows the airplane to fly at slower speeds, making it more maneuverable and easier to control.

So, option b is right.

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Question:-

What performance is a characteristic of flight at maximum lift/drag ratio in a propeller-driven airplane?

a.- gain in altitude over a given distance- range and maximum distance glide

b. - coefficient of lift and minimum coefficient of drag  200 words

If fusion reactions were to suddenly shut off in the Sun, how would we be able to tell?

Answers

If fusion reactions in the Sun suddenly shut off, we would be able to tell by observing a decrease in the Sun's energy output and changes in its surface features.

Fusion reactions in the Sun's core are responsible for producing the energy that the Sun emits as light and heat. If these reactions were to suddenly shut off, the Sun's energy output would decrease, and we would observe a reduction in the amount of light and heat reaching Earth. We could measure this decrease in energy output using instruments such as satellites and telescopes. In addition to changes in the Sun's energy output, we would also expect to see changes in its surface features. The Sun's surface is constantly in motion due to the convection of its plasma, which is driven by the energy produced in the core. If the energy production were to stop, the convection would also stop, leading to changes in the Sun's magnetic field and surface features such as sunspots and solar flares. We could observe these changes using telescopes that are designed to capture images of the Sun's surface.

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Typical filtration rates for dual media filters in conventional treatment plants are

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Typical filtration rates for dual media filters in conventional treatment plants can vary, but generally range from 2 to 6 gallons per minute per square foot of filter media.

The media used in these filters typically consists of a combination of sand and anthracite, with the sand providing larger pores for initial filtration and the anthracite providing smaller pores for final filtration. These filters are an important component of conventional treatment plants, as they help to remove suspended particles and impurities from water before it is disinfected and distributed for use.  Dual media filters, which often consist of layers of sand and anthracite, provide improved filtration efficiency and increased filter run times compared to single-media filters.

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Question 38 Marks: 1 Microwaves are reflected byChoose one answer. a. metals b. plastic c. glass d. human tissues

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Microwaves, which are a type of electromagnetic radiation, are reflected by surfaces that are metallic or have high electrical conductivity, such as metals, aluminum foil, and certain types of plastics. These surfaces can cause the microwaves to bounce back instead of being absorbed, leading to uneven heating and potential damage to the microwave.  

These materials can include aluminum foil, metal mesh, and certain metallic coatings. When microwaves encounter these surfaces, their energy is unable to pass through and is instead reflected back, often causing an even distribution of energy in the microwave oven.

It is important to always use microwave-safe dishes and avoid placing any metal objects inside the microwave.

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Which intermodal option combines truck and rail transportation with conventional road trailers carried atop rail flatcars for the long (line-haul) segment of the transit? a. Trailer Parkb. Birdybackc. Container on Flatcard. Trailer on Flatcare. Container Shipping

Answers

Intermodal option combines truck and rail transportation with conventional road trailers carried atop rail flatcars for the long (line-haul) segment of the transit (d). Trailer on Flatcar is correct option.

For the long-distance (line-haul) leg of transit, trailer on flatcar, sometimes referred to as TOFC or piggyback, combines truck and rail transportation. In this manner, pickup and delivery at the origin and destination sites are handled by trucks while standard road trailers, or "pigs," are loaded onto rail flatcars and transported by rail for the long run. This enables the use of trucks' flexibility for the initial and last miles of transit while still utilizing the long-distance efficiency of rail transportation.

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Question 74
The term "rem" is short for
a. Roentgen energy measure
b. Roentgen equivalent measure
c. Radiationenergy measure
d. Roentgen Equivalent Man

Answers

Roentgen Equivalent Man. The term rem is a unit of measurement used to quantify the amount of radiation someone is exposed to, taking into account the type of radiation and its potential to cause harm. It is a combination of the Roentgen energy measure and the radiation weighting factor.

The term "rem" is short for: Roentgen equivalent measure Rem stands for Roentgen equivalent measure, which is a unit used to quantify the biological effect of ionizing radiation. It takes into account the type of radiation and its energy, allowing for a comparison of different radiation exposures in terms of their potential harm to living organisms.also known as the equivalent dose.  One of the most important portions of the sleep cycle is called REM sleep. REM stands for Rapid Eye Movement, and it’s both the deepest and most active stage of sleep. REM is essential if you want to reap the full benefits of sleep and feel rested after a night in bed.

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if you connect a pair of 1-ohm resistors in series, their combined resistance will be, if they are connected in parallel, the resistance will be?

Answers

The combined resistance of two 1-ohm resistors in series is 2 ohms, while the combined resistance of the same resistors in parallel is 0.5 ohms.

Resistors in series add up their individual resistances, so when two 1-ohm resistors are connected in series, their combined resistance is the sum of 1 ohm + 1 ohm = 2 ohms.

On the other hand, when resistors are connected in parallel, their combined resistance is less than the individual resistance of each resistor. This is because the current has multiple paths to flow through, reducing the overall resistance.
The way resistors are connected impacts their combined resistance. When in series, the resistances add up, and when in parallel, the resistances decrease.

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Question 30
What type of filter is recommended for use in small communities and rural places?
a. Diatomaceous earth
b. Granular
c. Cartridge
d. Slow sand

Answers

In small communities and rural places, a slow sand filter is recommended for use.

This type of filter is effective, low-cost, and easy to maintain, making it suitable for these settings. For small communities and rural places, slow sand filters are often recommended as they are low cost, low maintenance, and effective in removing a wide range of contaminants. Slow sand filters use a combination of biological and physical processes to remove particles and pathogens from water. They work by passing water slowly through a bed of fine sand, which acts as a physical filter, and a layer of microorganisms, which help to break down and remove organic matter and pathogens. Slow sand filters have been used for centuries and are still widely used today in many parts of the world.

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the point is at one corner of the rectangle and the component bodies are: a uniform disk of radius and mass . a uniform rod of length and mass . a uniform rectangle with side lengths and , and mass . a point mass at with mass . what is the moment of inertia about the axis through the point ?

Answers

The moments of inertia for all component bodies is [tex]I_{1}[/tex]+ [tex]I_{2}[/tex] + [tex]I_{3}[/tex] + [tex]I_{4}[/tex].

To calculate the moment of inertia about the axis through the point at one corner of the rectangle, we need to consider the individual moments of inertia of each component body and then sum them up. Here's the calculation for each component:
1. Uniform disk of radius (r) and mass ([tex]m_{1}[/tex]):
Moment of inertia  [tex]I_{1}[/tex] = (1/2) * [tex]m_{1}[/tex] *[tex]r^{2}[/tex]
2. Uniform rod of length (L) and mass ([tex]m_{2}[/tex]):
Moment of inertia [tex]I_{2}[/tex]= (1/3) * [tex]m_{2}[/tex] *[tex]L^{2}[/tex]
3. Uniform rectangle with side lengths (a) and (b), and mass ([tex]m_{3}[/tex]):
Moment of inertia  [tex]I_{3}[/tex] = (1/12) * [tex]m_{3}[/tex] * ([tex]a^{2}[/tex] + [tex]b^{2}[/tex])
4. Point mass ([tex]m_{4}[/tex]V) at a distance (d) from the axis:
Moment of inertia  [tex]I_{4}[/tex] = [tex]m_{4}[/tex] * [tex]d^{2}[/tex]

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A simple circuit consists of a battery, light bulb, and connecting wires. How does the current at point B, near the negative terminal of the battery, compare with the current at point A, near the positive terminal of the battery.

Answers

In a simple circuit that consists of a battery, light bulb, and connecting wires, the current at point B, near the negative terminal of the battery, is equal in magnitude to the current at point A, near the positive terminal of the battery.

This is because the current flows in a closed loop, starting from the positive terminal of the battery, flowing through the light bulb and returning back to the negative terminal of the battery. Therefore, the current is the same at any point in the circuit. However, the direction of the current flow is opposite at the negative and positive terminals of the battery. At the negative terminal, the current flows from the battery to the circuit, while at the positive terminal, it flows from the circuit to the battery.

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suppose that a mass is hanging vertically at the end of a spring. the mass is pulled downward and released to set it into oscillation. is the potential energy of the system increased, decreased or the same when the mass is lowered?

Answers

As the mass is lowered, the potential energy of the system is decreased, but it is converted into kinetic energy.

When the mass is lowered, the potential energy of the system is decreased. As the mass is pulled down, the spring is stretched further, which increases the potential energy stored in the spring. When the mass is released, it starts oscillating and the potential energy of the spring is converted into kinetic energy of the oscillating mass. As the mass moves downwards, it loses potential energy and gains kinetic energy, and vice versa as it moves upwards. So, as the mass is lowered, the potential energy of the system is decreased, but it is converted into kinetic energy.

When the mass hanging vertically at the end of a spring is pulled downward and released, the potential energy of the system is increased. This is because, as the mass is lowered, the spring is stretched, and the potential energy stored in the spring (elastic potential energy) increases. When the mass is released, this stored energy is converted into kinetic energy, causing the mass to oscillate.

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in which two ways does inertia affect the motions of the planets?
• A. It keeps the planets from being pulled into the Sun by the Sun's
gravity.
• B. It keeps the planets from flying off into space, out of the solar
system.
C. It causes the planets to keep moving in the same direction as they
did when they formed.
• D. It causes all the planets to move at the same speed throughout
their orbits.

Answers

The two ways that inertia affect the motions of the planets are:


B. It keeps the planets from flying off into space, out of the solar system.

C. It causes the planets to keep moving in the same direction as they did when they formed.

How does inertia affect the motions of the planets in these ways?

Inertia helps to keep planets in their orbits around the Sun, preventing them from flying off into space. As the planets move around the Sun, they are constantly pulled by the Sun's gravity towards the center of their orbit. However, due to their inertia, they continue to move forward, and the resulting combination of the inward pull of gravity and the outward motion due to inertia causes the planets to move in stable, elliptical orbits.

The planets formed from a cloud of gas and dust that was rotating in a particular direction. Due to the conservation of angular momentum, this rotation was transferred to the planets as they formed, causing them to continue to rotate in the same direction as they did when they formed. This is an example of how inertia affects the motion of the planets.

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If you have ever been on the shore of a large lake, you may have noticed that you cannot see the beaches, piers, or rocks at water level across the lake on the opposite shore. The lake seems to bulge out between you and the opposite shore - a good clue that the Earth is round.
Suppose you climb a stepladder and discover that when your eyes are 10 ft (3.0 m) above the water, you can just see the rocks at water level on the opposite shore. From a map, you estimate the distance to the opposite shore as d ≈ 6.1 km. Use h = 3.0 m to estimate the radius R of the Earth.

Answers

We should position the metre scale along the item such that the zero mark of the metre scale aligns with one end of the object if we want to measure an object's length using metres. The length of the object will then be revealed by the reading on the scale's opposite end.

How does one determine eye height?

A foot or so distant or close enough to read a ruler, stand in front of a mirror. The 0 on a plastic ruler should be positioned in the centre of your pupil when you hold it vertically against the frame. The bottom edge of the lens, not the frame's edge, should be measured from the middle of your pupil. Keep track of each eye's height.

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On a distant planet a freely falling object has an acceleration of 22m/s^2 . Calculate the vertical distance an object dropped from rest on this planet covers in 1.3s .

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The vertical distance an object dropped from rest on this distant planet covers in 1.3 seconds is 18.59 meters.

To calculate the vertical distance an object dropped from rest on this distant planet covers in 1.3 seconds, we can use the following equation of motion:
d = vi * t + 0.5 * a * t^{2}
where d is the vertical distance, vi is the initial velocity (0 m/s, since the object is dropped from rest), a is the acceleration (22 m/s^{2}), and t is the time (1.3 s).
Step 1: Substitute the given values into the equation:
d = 0 * 1.3 + 0.5 * 22 * (1.3)^{2}
Step 2: Perform the calculations:
d = 0 + 0.5 * 22 * 1.69
d = 11 * 1.69
Step 3: Calculate the final value:
d ≈ 18.59 m
So, the object dropped from rest on this planet with an acceleration of 22 m/s^{2} covers a vertical distance of approximately 18.59 meters in 1.3 seconds.

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wo wind turbines with different length blades are rotating. Consider what needs to happen in order to change the angular speed of one of the turbines. If the turbine is to spin more quickly, should the angular acceleration, a be positive or negative?O a should be positive. O a should be negative. O'We cannot tell which direction a should be without knowing the direction of the angular velocity

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If one of the wind turbines with different length blades is to spin more quickly, the angular acceleration, a should be positive. This means that the rate of change of the angular velocity should be in the direction of increasing speed.

To change the angular speed of one of the wind turbines with different length blades, you would need to adjust the angular acceleration (a). If the turbine is to spin more quickly, the angular acceleration (a) should be positive. A positive angular acceleration indicates an increase in angular speed, while a negative value would indicate a decrease in angular speed.

The angular acceleration is the time rate of change of the angular velocity and is usually designated by α and expressed in radians per second per second. For the case in which the angular velocity is uniform (nonvarying), θ = ωt and α = 0. If α is uniform but not zero, ω = αt and θ = 1/2αt².

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23. What is the instantaneous tangential speed of the passengers 15 s after the acceleration begins?
A) 0.067 m/s
B) 0.50 m/s
C) 1.4 m/s
D) 7.5 m/s
E) 11 m/s

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To find the instantaneous tangential speed of passengers 15 seconds after acceleration begins, we need the initial velocity and acceleration values. Then, we can use the linear motion formula to calculate the speed at that specific time.

To determine the instantaneous tangential speed of passengers 15 seconds after acceleration begins, we need more information about the acceleration and initial velocity. However, I can provide a general explanation of these terms and how to solve such a problem.
Instantaneous speed refers to the speed of an object at a specific moment in time. In this case, it's the speed of the passengers 15 seconds after the acceleration starts.
Tangential speed refers to the linear speed of an object as it moves along a circular path. In this context, passengers are assumed to be moving in a circular motion, and we need to find their speed at the specified time.
Once we have the initial velocity (v0), acceleration (a), and time (t = 15 seconds), we can use the formula for final velocity (v) in linear motion:
v = v0 + at
If given the necessary values, we could plug them into the formula to find the instantaneous tangential speed at t=15s and choose the correct answer among the given options (A, B, C, D, or E).
In summary, to find the instantaneous tangential speed of passengers 15 seconds after acceleration begins, we need the initial velocity and acceleration values. Then, we can use the linear motion formula to calculate the speed at that specific time.

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Question 97
It is believed by some researchers that the hazards of low level radiation may be worse than previously predicted, supporting the principle that "x-rays should be used only when there is good medical reason."
a. True
b. False

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The given statement, "It is believed by some researchers that the hazards of low level radiation may be worse than previously predicted, supporting the principle that "x-rays should be used only when there is good medical reason." is true because a lot of research is being done to determine the biological causes of radiation damage to DNA and cells.

Ionizing radiation has always been a risk to human populations, but it is now even more prevalent because of its usage in agriculture, industry, and the military forces. While the health dangers from medium and high doses of radiation are generally established, those from lower levels are less so.  Confusion has been caused for the public as well as for decision-makers by conflicting messages on the safety of low doses of radiation from various sources.  

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Please Help! It’s Greatly Appreciated! Will Mark as Brainliest!

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Refer to the attached image.

In general, as a reaction proceeds to make more products, reaction rate decreases
true or false?

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The given statement "In general, as a reaction proceeds to make more products, reaction rate decreases" is true.

This is because as the concentration of reactants decreases, there are fewer collisions between particles, leading to a slower rate of reaction. Additionally, some reactions may also be limited by factors such as the availability of reactants or the presence of catalysts.

However, there are some reactions where the opposite may be true, such as in a chain reaction where the formation of one product can trigger the formation of more products, leading to an increase in reaction rate.

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