5. The temperature of air in a foundry increases when molten metals cool and solidify. Suppose 4.5 x 10^7 J energy is added to the surrounding air by the solidifying metal. The air's temperature increases by 55°C and the air has a specific heat capacity of 1.0 × 10 J/kg °C. What is the mass of the heated air?

Answers

Answer 1

The mass of the heated air is 2475000 kg.

What is specific heat capacity?

The heat capacity of a sample of a substance is equal to the mass of the sample divided by the specific heat capacity of the substance (symbol c) in thermodynamics.

Informally, it is the quantity of heat that must be added to one unit of a substance's mass in order to raise its temperature by one unit.

The specific heat capacity of air =  1.0 × 10³ J/kg °C.

Hence, the mass of the heated air is =

( 4.5 x 10⁷ × 55) ÷ ( 1.0 × 10³ ) kg

= 2475000 kg.

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Related Questions

Scientists and engineers are testing three different satellites orbiting Earth. The scientists are able to use sensors to determine the gravitational force experienced by each satellite. Some of the data from each of the orbiting satellites is shown in the table below. Distance Satellite from Earth (km) 36,000 36,000 36.000 X Y Z Mass (kg) 400 1.200 900 Gravitational Force (N) 120 360 270 Which statement best summarizes the information given? OA. The gravitational force exerted by Earth on the satellite depends on the satellite's mass. OB. The satellite with the least amount of mass is able to exert greater gravitational force on Earth than the others. OC. The gravitational force exerted by Earth changes the mass of each of the satellites. OD. The gravitational force on the satellite depends only on the distance from Earth at which it is travelling.​

Answers

The statement that best summarizes the information given is: The gravitational force exerted by Earth on the satellite depends on the satellite's mass.

The correct option is A.

What is the relationship between gravitational force and mass?

Gravitational force is the force of attraction that exists between two objects.

Gravitational force is directly proportional to the product of the masses of the objects and inversely proportional to the square of the distance of separation.

Greater gravitational forces will be used to attract heavier things since the gravitational force is directly proportional to the mass of both interacting objects. Therefore, the gravitational attraction between two objects grows as their respective masses do as well.

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A device that automatically writes down (records) changes in temp is called?

Answers

A thermograph is a gadget that automatically logs (records) temperature changes.

What is the thermograph used for?

By identifying heat leaks, thermography is able to identify inadequate thermal insulation and boost the effectiveness of heating and cooling systems. Air leaks in windows and doorframes can also be discovered during a building envelope assessment.

What exactly is a thermograph device?

An automatic temperature recorder. The thermometric component is typically either a liquid-filled Bourdon tube or a bimetal strip. The bimetal element in the first scenario is shaped like a helical coil, with one end fixed firmly to the device and the other to recorder pen.

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Whenever the net force on an object is zero, its acceleration _____.
(a) and velocity are the same
(b) is zero
(c) may be zero
(d) None of the above.

Answers

A is the correct one

How much power is required to raise a 30 kg crate a vertical distance of 6 m in a time of 4 seconds?

Answers

The formula for power is ( P = W / t ) or ( P = m × a × d / t ) or ( P = F × d / t)

The gravitational acceleration on Earth is 9.8 m/s².

Given Data:

m ( mass ) = 30 kg
a ( acceleration ) = 9.8 m/s²
d ( distance ) = 0.2 m
t ( time ) = 2 s
P ( Power ) = ? unknown

Solution:
We can use the formula of power which is ( P =m × a × d / t ) in order to solve the problem.

P =m × a × d / t

= 30 kg × 9.8 m/s² × 6 m / 4 s

= 1764 kg·m²/s² / 4 s

= 441 J / s

= 441 Watts

Answer:

D. 441 W​

a figure skater on ice spins on one foot. she pulls in her arms and her rotational speed increases.

Answers

As her arms close in, her angular speed rises as a result of an increase in potential energy. 2. Her moment of inertia drops while her angular momentum increases, causing her angular speed to rise.

What is speed?

The speed at which an object's location changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. The most often used unit of speed in daily life is the kilometre per hour (km/h), or miles per hour in the US and the UK. The SI's unit of speed is indeed the metre per second (m/s) (mph).

What is speed and velocity?

Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value. speedometer, a tool that displays a car's speed in conjunction with

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1. use your own words and captured images from the simulation to show you can measure: a. wavelength of longest wave possible b. wavelength of shortest wave possible c. height of tallest wave possible

Answers

To measure the wavelength of the longest and shortest wave possible, you can use the oscilloscope to observe the waveform. Correct answer: Option A and B.

You can then measure the wavelength by the distance between two adjacent peaks or troughs. Similarly, to measure the height of the tallest wave possible, you can measure the amplitude of the waveform, which is the difference between the peak and the trough.

An oscilloscope is a type of electronic test equipment used to measure voltage over time. It is used to display waveforms of electrical signals, which can help determine the frequency, amplitude, rise time, and other characteristics of the signal. The oscilloscope consists of a display, a set of inputs, and horizontal and vertical control knobs.

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you learned in the last unit that there is a minimum speed at which a rollercoaster car can go around a loop and still maintain contact with the track. what is the minimum height h the car should be released so that it goes around the loop safely? assume friction is negligible.

Answers

The minimum height for the car to be safely released around a loop is determined by the minimum speed required for the car to remain in contact with the track, which is equal to the square root of the gravitational acceleration times the radius of the loop.

This is known as the "speed of a circular loop" formula, and it states that the minimum speed required for an object to go around a loop of radius "r" is equal to the square root of "g" (acceleration due to gravity) times "r".

In other words, the object must be traveling at a minimum velocity in order to remain in contact with the track and complete the loop without flying off. The height "h" at which the car is released is not a factor in this calculation, as it only affects the initial velocity of the car, which is not relevant to the minimum speed required to maintain contact with the track.

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what is one type of light that the sun emits but a light bulb does not?

Answers

The sun emits Ultra-violate  light but a light bulb does not.

What is sun?

A heated ball of incandescent gases at the centre of our solar system, the sun is a star. Beyond the distant Neptune and Pluto's orbits, it has a significant impact.

There wouldn't be any life on Earth without the sun's powerful energy and heat. Even though it is unique to us, the Milky Way galaxy is home to billions of stars similar to our sun. The Earth would be the size of a US coin if the sun were the height of a standard front door.

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Caused or operated by heat that has changed into different forms of energy is called?

Answers

Transformation is the process of converting heat directly or indirectly into other types of energy.

What happens during energy transformation?

Energy transformation is the process through which energies change from one form to another. Energy is changed someplace every second of the day. Electrical, thermal, nuclear, mechanical, electromagnetic, acoustical, and chemical methods can all be used to express energy.

What three energy conversions are there?

Electrical energy can be produced from chemical energy. Heat energy can be created from thermal energy. Electrical energy, potential energy, etc. can be created from mechanical energy.

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cehgg how far does a plane fly in 15 seconds while its velocity is changing from 145 m/s to 75 m/s at a uniform rate of acceleration?

Answers

The plane will travel a distance of 2175 meters while its velocity is changing from 145 m/s to 75 m/s at a uniform rate of acceleration.

What is a change in acceleration?

The rate at which velocity changes in relation to time is known as acceleration. It is a vector quantity that gauges the magnitude and direction of a change in velocity. It can be calculated as the velocity's time-dependent derivative or as the velocity change divided by the time-dependent change. The metric for acceleration is meters per second squared (m/).

The difference between two levels of acceleration, either at different times or in distinct directions, is referred to as a change in acceleration. According to mathematics, it can be described as the difference between final acceleration and initial acceleration, as shown by the equation:

Δa = a2 - a1

where "a" stands for the acceleration change, "a2" for the final acceleration, and "a1" for the starting acceleration.

distance = (initial velocity x time) + (1/2) x acceleration x

acceleration = (final velocity - initial velocity) / time

we get:

acceleration = (75 - 145) / 15 = -5 m/

Now,

distance = (145 x 15) + (1/2) x (-5) x  = 2175 m

Therefore, the plane will travel a distance of 2175 meters.

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the space shuttle travels at a speed of about 6.38 x 103 m/s. the blink of an astronaut's eye lasts about 116 ms. how many football fields (length

Answers

Using speed, distance, time relation, The Space Shuttle covers approximately 8 football fields in the blink of an astronaut's eye.

How do you determine speed?

The speed of something or someone is how swiftly they are moving. You can determine something's average speed if you know how far it has traveled and how long it took to get there. Speed is determined by the formula: speed = distance time. Calculating the units for speed requires knowledge of the units for both time and distance.

The equation speed = distance time can be altered, just like any other equation.

The formula can be set up in one of three ways:

Distance is determined by time and speed.

Time and speed both affect distance.

Time = Speed x Distance

To compute one of the variables, we require the other two (speed, distance, or time).

For instance, we need to know the distance traveled and the speed at which movement occurs in order to calculate the travel time.

To find out how many football fields the shuttle covers in one blink of an eye, we need to divide the distance it travels in 116 ms by the length of one football field.

First, let's find the distance:

distance = speed x time

distance = 6.38 ×  m/s × 116 ms

distance = 738.88 m

Next, let's divide the distance by the length of a football field:

distance ÷ length of a football field

738.88 m ÷ 91.4 m  = 8.09 football fields

So the Space Shuttle covers approximately 8 football fields in the blink of an astronaut's eye.

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an evil supervillian has launched a rocket from his/her submarine. the rocket's height, in meters above sea level, as a function of time, , in seconds, is given by find the time it takes for the rocket to reach it's maximum height. round your answer to three decimal places. seconds. what is the maximum height? round your answer to three decimal places. meters

Answers

The height of the drone, measured in feet high, as both a time interval t, until it reaches its highest point seconds. Round your response to 3 decimal places.

How do you determine an object's maximum height when it is thrown?

A ball is thrown into the air with only an initial vertical component of 32 feet a second from a height of five feet. Calculate the ball's greatest height that use the vertical modelling method, h = -16t2 + materials were prepared + s, where va is the velocity of the object in metres & s is the elevation in feet.

What is the oldest height allowed?

Most women's height won't boost after the ages of 18 to 20 even with a nutritious diet. The growth rate form birth to age is depicted in the graph below.20. As can be seen, between years 18 and 20, the growth lines are zero Your bones, more specifically your growth plates, are the cause of your height plateau.

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an egg is thrown nearly vertically upward from a point near the cornice of a tall building. the egg just misses the cornice on the way down and passes a point 30.0 m below its starting point 5.00 s after it leaves the thrower's hand. ignore air resistance. what is the initial speed of the egg?

Answers

The initial speed of the egg is calculated to be approximately 29.6 m/s.

What is speed?

Rate of change of position of any object in any direction is called speed.

We use following kinematic equation to find initial velocity of the egg:

h = vi * t + (1/2) * g * t²,

where h is initial height of the egg, vi is initial velocity, t is time elapsed, and g is acceleration due to gravity (9.8 m/s²).

So, h = vi * t + (1/2) * g * t²

30.0 m = vi * 5.00 s + (1/2) * 9.8 m/s² * 5.00 s²

vi = 2 * (30.0 m - (1/2) * 9.8 m/s² * 5.00 s²) / 5.00 s = 29.6 m/s

So, the initial speed of the egg is approximately 29.6 m/s.

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when connected to a battery, a lightbulb glows brightly. if the battery is reversed and reconnected to the bulb, the bulb will glow when connected to a battery, a lightbulb glows brightly. if the battery is reversed and reconnected to the bulb, the bulb will glow brighter. dimmer. with the same brightness. not at all.

Answers

The correct option is A, When connected to a battery, a lightbulb glows brightly. if the battery is reversed and reconnected to the bulb, the bulb will glow when connected to a battery, a lightbulb glows brightly. if the battery is reversed and reconnected to the bulb, the bulb will glow brighter.

A battery is a source of electrical electricity consisting of 1 or more electrochemical cells with outside connections for powering electrical gadgets. when a battery is presenting power, its superb terminal is the cathode and its negative terminal is the anode.

The terminal marked bad is the source of electrons so as to drift through an outside electric powered circuit to the fine terminal. whilst a battery is connected to an outside electric load, a redox reaction converts excessive-electricity reactants to lower-strength products, and the loose-electricity distinction is introduced to the outside circuit as electrical strength.

Traditionally the term "battery" mainly referred to a tool composed of more than one cells; however, the usage has advanced to encompass gadgets composed of a unmarried mobile.

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even though you should be careful in all measurements, which will create a bigger error in the calculated volume: an error in the diameter or an error in the length of the cylinder?

Answers

Nevertheless, you should exercise caution while taking any measurements because either an inaccuracy in the cylinder's diameter or its length will result in a larger error in the volume that is predicted.

How is diameter calculated in its entirety?

Instance and Formula

2r d = diameter

r = radius

Thus, the radius multiplied by the diameter gives us the diameter formula: diameter = 2. D = 2r is an abbreviated form of this equation. However, if we are acquainted with circle's other dimensions—namely, its radius, circumference, or area—calculating the circle's diameter is simple.

Our approach to handling doubts and mistakes is to reduce them while also being honest regarding them by disclosing them honestly. If your data collection approach and method were correct, justified, and all potential sources of error were covered, you would never lose points for citing a significant final uncertainty.

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which type of eclipse occurs almost every 18 months?

Answers

Every 18 months or so, there are total solar eclipses, during which the sky becomes completely dark as the moon passes in front of the sun.

What is Eclipse used for?

A free Java-based development environment called Eclipse is well-known for its plugins, which enable programmers to create and test code in other computer languages. This Eclipse Public License governs the distribution of Eclipse.

Why is eclipse so important?

While more about a century ago, solar totality have been utilized to investigate the constitution of the Moon and its violent activities. Additionally, they have been employed to find evidence in favor of the general special relativity and to pinpoint new components. NASA scientists are still studying eclipses to discover more about the Sun, Venus, or our vacuum of space.

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a satellite is placed in an orbit with a radius that is half the radius of the moon's orbit. find its period in units of the period of the moon.

Answers

The period of a satellite in an orbit around the Earth with a radius half that of the moon's orbit is 0.35 TM. Thus, Option A is correct.

Based on the answer, we understand that it takes 0.35 times the amount of time for the satellite to complete one full orbit as it takes for the moon to complete one orbit around the Earth.

To explain, the period of a satellite in orbit around the Earth is directly proportional to the square root of the semi-major axis of its orbit. Since the semi-major axis of the satellite's orbit is half that of the moon's orbit, the square root of this value will also be half the square root of the moon's orbit, resulting in a period that is 0.35 times that of the moon's orbit.

Kepler's third law states that the square of the orbital period of a planet or satellite is proportional to the cube of the semi-major axis of its orbit, so a satellite with a smaller semi-major axis will have a shorter period.

The following options should be provided along with the question:

A. 0.35 TMB. 0.125 TMC. 0.5 TMD. 0.63 TM

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a hockey puck is hit on a frozen lake and starts moving with a speed of 12.8 m/s. exactly 5.90 s later, its speed is 7.50 m/s. the acceleration of gravity is 9.81 m/s 2 how far does the puck travel during this 5.90 s interval? answer in units of m. answer in units of m.

Answers

The average velocity of the puck during the 5.90 s interval can be calculated as the average of the initial velocity and the final velocity:

Thus the velocity will be,

v_avg = (v_initial + v_final) / 2

= (12.8 + 7.5) / 2

= 10.15 m/s

The distance traveled by the puck during this interval can be calculated as:

d = v_avg * t = 10.15 * 5.90 = 59.87 m

This is the distance traveled by the puck in a straight line assuming that it does not experience any forces other than gravity.

However, since the acceleration of gravity is 9.81 m/s^2,

the puck will experience a downward acceleration due to gravity, causing its path to be a parabolic arc.

The exact distance traveled by the puck will depend on the exact path it takes, which is beyond the scope of the information provided.

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a distant star is moving away from the earth at 1/3 of the speed of light. standing on the star, the light will travel towards the earth at the speed of light. how fast will light be moving as measured on the earth?

Answers

Whenever a distant star is traveling away from the planet at a pace of 1/3 the speed of light, then speed of light will be moving as it is observed on Earth. The light will reach globe at the faster than light if it were on a star.

Does light imply it isn't heavy?

Something that is light as an adjective is not heavy, onerous, or depressing. A discussion subject or a musical piece may both be light, just like a backpack. For instance, The weight is small, but the path is lengthy.

Who made light possible?

Using a bank of battery and two charcoal rods, Humphry Davy showed the first blazing light to the National Institute in Great Britain. Arc lamps were used in the first electric streetlights in several places.

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levers rotate about an axis of rotation as a result of force being applied to them to cause their movement in the same direction as the resistance. true false

Answers

It is true that levers rotate about an axis of rotation as a result of force being applied to them to cause their movement in the same direction as the resistance.

Torque is a measure of the rotational force applied to an object about an axis of rotation. It is a vector quantity that is equal to the product of the force applied to the object and the perpendicular distance between the line of action of the force and the axis of rotation. Torque is responsible for causing an object to rotate, and the magnitude of the torque depends on both the size of the force applied and the distance from the axis of rotation. Torque is measured in units of Newton-meters (Nm) and can be calculated. Torques are important in many areas of engineering, including mechanical, electrical, and aerospace engineering, and play a role in a wide range of everyday activities, from turning a doorknob to cranking a winch.

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a 46 kg bowling ball with a radius of 23 cm starts from rest at the top of an incline 3.0 m in height. find the translational speed of the bowling ball after it has rolled to the bottom of the incline. (assume that the ball is a uniform solid sphere.)the acceleration of gravity is 9.81 m/s 2 . answer in units of m/s. answer in units of m/s.

Answers

The acceleration (or velocity) of an object on Earth brought about by the gravity force when it is in free fall is referred to as "9.81 meters per second squared." There is no escape from gravity in outer space.

How is translational speed determined?

d=vot+1/2a*t. The first equation divides an object's distance traveled into its velocity and acceleration components. A automobile traveling at 30 mph for two hours will cover 60 miles (30 mph x two hours = 60 miles), and this distance is related to beginning velocity.Loss in Potential Energy = Gain in Rotational Kinetic Energy + Gain in Translational Kinetic Energy

How fast is translation?

The pace at which a linear position changes is known as translational velocity. The rate of change in each point is actually rotational position is what we refer to as the rigid body's rotational (angular) velocity, or v. Each point on the solid body has the same velocity component since all of its points spin at the same angle at the same time.

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Earth’s mass m is 5.979×10^24 kg, and its radius r is 6.376×106 m. what is the angular momentum of the earth?

Answers

Earth has a radius of 6.376106 m and a mass of 5.9791024 km=1.1961024kg is the value of the earth's angular momentum.

In everyday language, what does momentum mean?

Simple motion is defined as momentum. As long as a moving object and it has mass, it has quantity in this situation, and momentum is measured. A thing lacks momentum if it stays still.

What does momentum mean, for instance?

Whenever a body starts moving, its potential "power"—the amount of force it can exert on another body—is referred to as momentum. For instance, a baseball thrown quickly at high velocity and a bowling ball with a significant mass travelling very slowly can both have the same momentum.

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what is max, the maximum wavelength of the incident light that can cause electrons to be emitted from the metal?

Answers

300 nm
Thus, the maximum wavelength of incident light that will cause electrons to be emitted from the surface of the metal is 300 nm. Thus, we have found that the work function of the metal is 4.14 eV.

Hope this helps have an excellent day!

Convertir 10 gramos a litros

Answers

Porque um litro tem 1000 gramas. então 10 grama se convertido em litros torna-se 0,01 Litros.

About Litro

Litro é uma unidade de medida de volume. O litro não é uma das unidades international standards, mas está listado como uma das "unidades não international aceitas para uso com o international standards". A unidade SI para volume é o metro cúbico (m³). 1 l = 1 dm = 1000 cm = 1000 cc 1 ml = 1 cm = 1 cc O símbolo do litro é uma letra minúscula ou maiúscula l, L. A letra minúscula l (ℓ) também é usada.

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Use the information below to answer question 9.
Since a Cessna-172 is a small airplane (750 kg) it may be easily blown
off course by a strong cross wind.
9.
An airplane is travelling at 27.8 m/s due north in calm air when
an east wind of 11.2 m/s begins. This blows the airplane off
course as shown in the diagram. Determine the plane's
momentum relative to the ground as it is being blown off
course. [2.25 x 104 kg m/s, 21.9° W of N]
P= mv
beg
3m
1.2m
direction
of travel
N
T
wind
direction
heading
2+




Answers

The momentum of the airplane is 2.24 * 10^4  Kgm/s

What is the momentum?

Momentum is a concept in physics that describes the motion of an object. It is a vector quantity, meaning it has both magnitude and direction. The momentum of an object is equal to its mass multiplied by its velocity. In simple terms, momentum is a measure of how much "motion" an object has, taking into account both its mass and speed.

We would have to find the resultant of the velocity from

R = √(27.8)^2 + (11.2)^2

R = 29.97 m/s

We know that the momentum is mv

Momentum =  29.97 m/s * 750 kg

=  2.24 * 10^4  Kgm/s

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a small object is released from rest and fall 1.00 x 10^2 feet near the surface of the earth neglect air resistance how long will it take to fall through

Answers

It will take 2.49sec to fall through the 1.00 × 10² feet mentioned.

What occurs if air resistance is disregarded?

When objects are stated to be falling freely, they are only being pulled downward by gravity and do not experience much air resistance. Under these conditions, all objects will fall with the same rate of acceleration, regardless of their mass.

A thing falls freely due to gravity.

The distance traveled when free falling is measured in height.

H= Hο −1/2gt

. were Hο is the initial height g is the acceleration due the gravity t is the time

Accepting the final height equal to zero

Hο =1/2gt²

t = √2Hο /g

= 32.17

2 ⁄

t = √2∗1.00∗10²/32.17

= 2.49 sec

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Question:

A small object is released from rest and falls 1.00 × 102 feet near the surface of the earth. Neglect air resistance.

How long will it take to fall through the 1.00 × 102 feet mentioned?

3.12 s

4.50 s

2.49 s

6.25 s

10.0 s

During fission, some of the nuclear mass is converted into
Select one:
a. critical mass.
b. energy.
c. heavier nuclei.
d. protons.

Answers

Answer: b. energy.

Explanation:

why is a specimen smaller than 200 nm not visible with a light microscope? why is a specimen smaller than 200 nm not visible with a light microscope? it is too easy to lose on the stage. the lenses only go to 100 x magnification power. anything smaller than 200 nm cannot interact with visible light. visible light is only good at wavelengths below 390 nm. request answer

Answers

Visible light is insensitive to objects smaller than 200 nm. On stage, defeat is all too often. Only wavelengths below 390 nm are suitable for visible light.

Why can't a light microscope see a specimen that is smaller than 20 nm?

Because visible light, which the microscope uses, has a specific range of wavelengths, A smaller item than the wavelength of the light cannot be imaged by the microscope.

Why is a light microscope only capable of 200 nm of resolution?

It was believed throughout the majority of the 20th century that far-field light microscopy could not resolve things closer than 150–200 nanometers (see Milestone 3). Light diffracts when it travels through various media,

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Cities can reduce earthquake damage by

Answers

Answer:

Adaptation – Develop post disaster response plans and operational redundancy to speed recovery time

Avoidance – Reduce risk by structural/nonstructural retrofitting, or lease/buy more resilient properties

Assignment – Transferring the risk to others through insurance

PLEASE I NEED HELP!! ON THIS QUESTION I HAVE TO TURN IT IN TODAY

Answers

Answer:

Scalar quantities

temperature, eg 10 degrees Celsius ('C)

mass, eg 5 kilograms (kg)

energy, eg 2,000 joules (J)

distance, eg 19 metres (m)

speed, eg 8 metres per second (m/s)

density, eg 1,500 kilograms per metre cubed

(kg/m)

Answer:

Greetings!!

In exception for

5N down (b/c it mentioned direction)15mph North (b/c it mentioned direction)4m/s (b/c velocity is a vector quantity)9.8m/s^2 (b/c acceleration is a vector quantity)

All the rest are scalar quantities.

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Circles C 1 ,C 2 ,C 3 have their centres at (0,0),(12,0),(24,0) and have radii 1,2 and 4 respectively. Line t 1 is a common internal tangent to C 1 and C 2 and has a positive slope and line t 2 is a common internal tangent to C 2 and C 3 and has a negative slope. Given that lines t 1 and t 2 intersect at (x,y) and that x=pqr, where p,q and r are positive integers and r is not divisible by the square of any prime, find p+q+r.a.P+Q+R=26b.P+Q+R=24c.P+Q+R=28d.P+Q+R=27 fill in the blank. the calvin cycle occurs in the ___, using products of the light reactions: ___as a donor of ___and blank as an energy source. during the dark reactions ___of glyceraldehyde 3-phosphate exits the cycle per ___of ___fixed and is converted to glucose and other organic molecules. in a free market society, the answer to the question about how much to produce is determined by Michael has $16 and wants to buy a mixture of cupcakes and fudge to feed at least 4 siblings. Each cupcake costs $4, and each piece of fudge costs $2.This system of equations models the scenario:4x + 2y 16x + y 4Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution set. (4 points)Part B: Is the point (2, 3) included in the solution area for the system? Justify your answer mathematically. (3 points)Part C: Choose a different point in the solution set and interpret what it means in terms of the real-world context. (3 points) characterized by the automation of routine tasks like processing payroll, welding car parts together, or sending invoices to customers in what period? How is the sum expressed in sigma notation a restaurant offers delivery for pizzas. The total cost includes $11 per pizza and the delivery fee. A delivery of 5 pizzas costs $58.Write an equation to represent the total cost, y for x number of pizzas. Use your wquation to find the cost of delivery of 80 pizzas. Which of these were arguments for those in favor of the Constitution?A. It had the endorsement of the anti-federalistsB. It guaranteed state's rightsC. Gave Better Law, Order, and StabilityD. It guaranteed the rights of individualsE. It was the direct opposite of British Government logan works as a chashier. today, he has given out 50% more nickels than dimes. if he has given out a tatal of 6.65 in nickels and dimes, how many dimes has he given out FILL THE BLANK An ionic compound is formed when ions of __________charge attract. An ionic compound is __________ overall even though it contains charged particles; therefore it must contain equal numbers of positive and negative ___________. rising unemployment levels tend to stifle demand for goods and services, which can have the effect of forcing prices downward, a condition known as . What is a reasonable product of 3 9/10 x 4 1/5 Which statement about democratic principles is true? (1 point)O Democratic principles are the same as civic virtues.O Democratic principles exist in every country.O Democratic principles are held by all leaders.ODemocratic principles tell the government how to act. Use the general slicing method to find the volume of the following solidThe solid with a semicircular base of radius 15 whose cross sections perpendicular to the base and parallel to the diameter are squares The volume of the solid is __ cubic units.(Type an exact answer) General English * Mr. Niej Dhakal, Principal, Super Sense Secondary School Dharapani, Dhanusha Write a description on Village Life & Town Likewing the following outlines: a team of scientists is trying to understand the evolutionary history of three species of grasses. they hypothesize that species t is a descendent of a hybrid between species r and species s. which of the following experimental approaches would best help elucidate the evolutionary history of these three species? For the function defined here, find f(0), (2), and f(4) by using the graph below.x - 1f(x) = {-x+1ififx < 2x > 2 Which location on the map shows the Eastern Ghats? AB (CDThe answer is C which security should sell at a greater price? a. a 9-year treasury bond with an 8.50% coupon rate or a 9-year treasury bond with a 9.50% coupon. . describe where the points of constructive and destructive interference are in the image on the right. b. create a similar wave pattern and use the detectors to find points of constructive and destructive interference. c. explain how you made the waves and used the detector. insert an image of the entire screen for evidence.