1. Carefully find the threshold wavelength for sodium. What is the wavelength of the lowest energy light at which electrons are emitted?
Threshold wavelength =

Answers

Answer 1

Threshold wavelength for sodium is approximately 330 nm.

The threshold wavelength for sodium can be calculated using the following formula:

λth = hc/Φ

where λth is the threshold wavelength, h is Planck's constant, c is the speed of light, and Φ is the work function of sodium.

The work function of sodium is approximately 2.28 eV.

Converting electron volts (eV) to joules (J), we get:

Φ = 2.28 eV * 1.602 x 10⁻¹⁹ J/eV

Φ = 3.659 x 10⁻¹⁹ J

Plugging in the values of h, c, and Φ, we get:

λth = hc/Φ

λth = (6.626 x 10⁻³⁴ J s)(3.00 x 10⁸ m/s)/(3.659 x 10⁻¹⁹ J)

λth = 5.117 x 10⁻⁷ m

λth = 511.7 nm

Therefore, the threshold wavelength for sodium is approximately 511.7 nm.

The wavelength of the lowest energy light at which electrons are emitted can be found using the equation:

λ = hc/E

where λ is the wavelength, h is Planck's constant, c is the speed of light, and E is the energy of the light.

The lowest energy light corresponds to the work function of sodium, which is 2.28 eV.

Converting the energy to joules, we get:

E = 2.28 eV * 1.602 x 10⁻¹⁹ J/eV

E = 3.659 x 10⁻¹⁹ J

Plugging in the values of h, c, and E, we get:

λ = hc/E

λ = (6.626 x 10⁻³⁴ J s)(3.00 x 10⁸ m/s)/(3.659 x 10⁻¹⁹ J)

λ = 5.117 x 10⁻⁷ m

λ = 511.7 nm

Therefore, the wavelength of the lowest energy light at which electrons are emitted is approximately 511.7 nm, which is the same as the threshold wavelength for sodium.

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Related Questions

The graph represents the simple harmonic motion of a mass on a spring.
Which arrow indicates the amplitude of the motion?

A
B
C
D

Answers

Answer:

B

Explanation:

Amplitude, in simple terms, is height of the peak. This is done by measuring the peak point to the middle line.

That is B.

A baseball is pitched at 70 miles per hour (but instead use 31.29 meters/second). The baseball has a mass of 0.145 kg. The catcher catches the ball, and the catcher has 95.9 kg of mass. The catcher is originally stationary (not moving). What is the speed of the catcher (and the ball, combined) immediately after he catches the baseball?

Answers

The combined speed of the catcher and the ball is 0.047 m/s.

What is the combined speed?

In the case of the question that we have here, we would need to apply the principle of the conservation of linear momentum. It is the principle that stresses the fact that the momentum before collision must be the same as the magnitude of the momentum after collision.

We then have that;

Momentum before collision = Momentum after collision

(0.145 * 31.29) + (95.9 * 0) = (95.9 + 0.145)v

v = the combined speed

Then we have;

4.54 = 96v

v = 4.54/96

v = 0.047 m/s

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A rocket ship has several engines and thrusters. While the solid rocket booster (srb) and main engines only work together during the first 2 minutes of flight, the main engines operate for a total of 8. 5 minutes after the launch. Once the srbs are released, the main engines alone accelerate the rocket from about 1341 m/s to 7600 m/s.

Answers

A rocket ship has several engines and thrusters. While the solid rocket booster (srb) and main engines only work together during the first 2 minutes of flight, the main engines operate for a total of 8. 5 minutes after the launch. Once the srbs are released, the main engines alone accelerate the rocket from about 1341 m/s to 7600 m/s. During the first two minutes of flight, the SRB and main engine accelerate at a rate of 52.16 m/s2.

Acceleration is the rate at which a moving object's speed and direction change over time. When something moves faster or slower, it is considered to be accelerating. The engine's initial velocity (u), final velocity (v), and time of motion (t), which is equivalent to two minutes, are the parameters given (2 x 60 s).

The calculations for the main engine's and SRB's acceleration are listed below.

a= Δv / Δt

a=7600-1341 /2*60s

a=52.16 m/s²

As a result, during the first two minutes of flight, the main engine and SRB accelerate at a rate of 52.16 m/s2.

Your question is incomplete but most probably your full question is

A rocket ship has several engines and thrusters. While the Solid Rocket Booster (SRB) and main engines only work together during the first 2 minutes of flight, the main engines operate for a total of 8.5 minutes after the launch. Once the SRBS are released, the main engines alone accelerate the rocket from about 1341 m/s to 7600 m/s.

What is the height of the rocket when the rocket reaches the speed of 7600 m/s? Show your work.

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I need help with this

Two objects exert a gravitational force, Fg on each other. Match each change in the distance d between the objects or the mass m of one of the objects to its effect on the gravitational force. Each effect may be matched to more than one change or not be matched at all.

Answers

The correct match of the change in mass or distance and the effect of change on the gravitational force between two objects are given below:

d → 2d and m in unchanged ----> Fg → (1/4) Fg

m → 2m and d is unchanged --->  Fg → (2) Fg

d → 2d and m → 2m   ---> Fg →  Fg

d → (1.2) d and m is unchanged --->  Fg → (4) Fg

m → (1/2) m and d is unchanged ---> Fg → (1/2) Fg

What is gravitational force?

Gravitational force is the force that pushes mass-containing objects toward one another. We frequently consider the pull of gravity from the Earth. Your body is kept on the ground by this force. However, all mass-bearing objects are pulled toward one another by gravity.

The gravitational force depends on the magnitude of the masses and the distance between the masses.

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HELP PLEASE HELP PLEASE HELP PLEASE

Answers

the answer will be 35

Section 6.1 Review
1. Describe the size and shape of Earth.
2. Describe two characteristics that make Earth unique in our solar system.
3. Summarize how scientists learn about Earth’s interior.
4. Compare Earth’s compositional layers with its structural layers.

Answers

Earth is a sphere, with a diameter of 12,742 km and an equatorial circumference of 40,075 km.Earth is unique in the solar system for its large amount of liquid water and the presence of life.Scientists study seismic waves, gravity, and heat flow to learn about Earth's interior.Earth's compositional layers are the crust, mantle, and core; its structural layers are the lithosphere, asthenosphere, mesosphere, outer core, and inner core.

What is the Lithosphere?

A lithosphere is the rocky shell that surrounds a terrestrial planet or natural satellite.

It is made up of the crust and a section of the upper mantle that acts elastically over time periods of thousands of years or more on Earth.

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When the woman in Example 14.4 expels some of the air in her lungs, what happens to her density and her submerged volume

Answers

The density of woman can be calculated from the fraction of submerged. The submerged volume is equal to the volume of fluid displaced.

How does the Archimedes Principle relate to buoyancy?

Any object that is partially or fully submerged in a fluid will always be subject to the buoyant force. The buoyant force on an object is equal to the weight of the fluid it pushes away, according to Archimedes' principle.

the woman’s density by solving the equation

fraction submerged = ρ woman/ρ fluid

Density of woman ρ woman => fraction submerge x ρ fluid

   Volume of submerged = Volume of float = mass float/ρ fluid.

What is the guiding concept of Archimedes?

The buoyant force, which is equal to the weight of the fluid the body displaces, acts on a body at rest in a fluid by pushing upward. If the body is entirely immersed, the amount of fluid that is displaced is equal to the body's volume.

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A 1. 0\, \text {kg}1. 0kg1, point, 0, tart text, k, g, end text cart moving right at 5. 0\,\dfrac{\text m}{\text }5. 0

m

5, point, 0, tart fraction, tart text, m, end text, divided by, tart text, , end text, end fraction on a frictionle track collide with a econd cart moving right at 2. 0 \,\dfrac{\text m}{\text }2. 0

m

2, point, 0, tart fraction, tart text, m, end text, divided by, tart text, , end text, end fraction. The 1. 0\, \text {kg}1. 0kg1, point, 0, tart text, k, g, end text cart ha a final peed of 0. 50\,\dfrac{\text m}{\text }0. 50

m

0, point, 50, tart fraction, tart text, m, end text, divided by, tart text, , end text, end fraction to the right, and the econd cart ha a final peed of 2. 3\,\dfrac{\text m}{\text }2. 3

m

2, point, 3, tart fraction, tart text, m, end text, divided by, tart text, , end text, end fraction to the right

Answers

The total initial momentum of 7.0 kgm/s is 2.8 kgm/s,

This scenario describes an inelastic collision between two carts. In an inelastic collision, the total kinetic energy of the system is not conserved and some of it is converted into other forms of energy, such as heat or sound.

Using the principle of conservation of momentum, we can calculate the final velocities of the two carts after the collision. The initial momentum of the first cart is 1.0 kg * 5.0 m/s = 5.0 kgm/s. The initial momentum of the second cart is 1.0 kg * 2.0 m/s = 2.0 kgm/s. The total initial momentum of the system is 5.0 kgm/s + 2.0 kgm/s = 7.0 kg*m/s.

After the collision, the final momentum of the two carts is equal to the total initial momentum, since no external forces are acting on the system. Therefore, the final momentum of the first cart + the final momentum of the second cart = 7.0 kg*m/s.

We can use the final velocities given in the problem to solve for the final momentum of each cart.

The final momentum of the first cart is 1.0 kg * 0.50 m/s = 0.50 kgm/s

The final momentum of the second cart is 1.0 kg * 2.3 m/s = 2.3 kgm/s

And add them: 0.50 kgm/s + 2.3 kgm/s = 2.8 kgm/s, which is equal to the total initial momentum of 7.0 kgm/s.

We can also observe that the final velocity of the first cart is less than its initial velocity, while the final velocity of the second cart is greater than its initial velocity. This is expected in an inelastic collision as some of the kinetic energy of the system is converted into other forms of energy, causing the final velocities of the carts to be different from their initial velocities.

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gas expands when 591 J of energy is added to it as heat. The expanding gas does 431 J of work on its surroundings.
(a) What is the overall change in the internal energy of the gas?
J
(b) If the work done by the gas were equal to 1102 J (rather than 431) J), how much energy would need to be added as heat in order for the change in internal energy to equal the change in internal energy in part (a)?

Answers

Let us cut the work done on gas as we move along the direct path

W=-(-area undercurve),=-[(1.00atm)(4.l-2)+1/2(4-1)(4-2)],W=-5atm

The change in internal energy=-88.5J

What does physics mean by internal energy?

In thermodynamics, internal energy is a property or state functional that characterises a substance's energy in the absence of capillary effects and the impacts of external magnetic, electric, and other fields.

What makes it internal energy?

Internal Energy is the energy in a thermodynamics that is NOT either the system's total kinetic energy or the gravitational potential energy. The system's internal freedom levels are connected to the internal energy.

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Which is a complete description of the momentum of an object?O 4.2 m/s, eastO 2.4 kg/mO2 kg/sO 1.9 kg*m/s, west

Answers

1.9 kg*m/s

As we know that momentum is directly proportional to Mass and Velocity

Momentum= k*M*V

where k is the proportional constant, which is equal to 1 in this case.

(M*V). And by now if we talk about Unit then Mass has SI Unit as Kg. and Velocity have as m/s

I option 1 we unit as m/s  which simply shows the unit of Velocity. whereas option 2 is 2.4 kg/m which is not true as we already calculated as it must be kgm/s similarly in the case of option 3 2kg/s which again is not exactly the same SI unit of what we calculated before using equating the equation.

we can calculate the Kinetic energy by multiplying moment by Velocity and dividing 2.

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Compare and contrast the Physical and Compositional Layers of the Earth

Answers

Compositional layers of the earth are determined by their parts while on the other hand, the mechanical layers are determined by their physical characteristics.

What are the compositional layers of the earth?

The earth is made up of three different layers: the crust, the cape, and the core according to mechanical things, Earth's layers are the lithosphere, crust, lower mantle (also known as mesospheric mantle), outer core, and inner core, according to Phys.org

Starting at the center, Earth is calm of four distinct layers. They are, from gaping to shallowest, the inner core, the outer core, the mantle, and the crust. Earth's atmosphere has five major and some secondary layers. From lowest to highest, the major layers.

So we can conclude that The earth is made up of three dissimilar layers: the crust, the mantle, and the core.

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What are the factors required for the choice of electric propulsion systems for EVs and HEVs?

Answers

When it comes to choosing the right electric propulsion system for electric vehicles (EVs) and hybrid electric vehicles (HEVs), there are several factors to consider. These include power needs, cost, efficiency, environmental impact, and safety.

Power needs are important to consider as the right system will be able to provide enough power for the vehicle’s needs without overpowering it. Cost is also an important factor when selecting a propulsion system as some systems can be expensive.

Efficiency is also key to consider as some systems can be more efficient than others. Environmental impact is also important as some propulsion systems are more efficient and have lower emissions than others. Finally, safety is an important consideration, as some systems may be safer than others.

By considering all of these factors when selecting an electric propulsion system for an EV or HEV, vehicle owners can ensure they are making the best choice for their needs.

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A 0.1 kg toy train car moving at 1.0 m/s runs into a stationary car with a mass of 0.15 kg. At what speed do they move off together?

Answers

The toy train and the car move off together at speed of 0.4 m/s.

What is law of conservation of momentum?

According to the law of momentum conservation, momentum is only modified by the action of forces as they are outlined by Newton's equations of motion; momentum is never created nor destroyed inside a problem domain.

From conservation of momentum, we get:

Total initial momentum = total final momentum

0.1 kg × 1.0 m/s + 0.15 kg × 0 m/s = ( 0.1 kg + 0.15 kg) × v

v  = (0.1/0.25) × 1.0 m/s

v = 0.4 m/s.

Hence,  they move off together at speed of 0.4 m/s.

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I need help, It’s a packet but unfortunately I can’t add anymore pictures

Answers

According to the equation a = v/t, acceleration (a) is the product of the change in velocity (v) and the change in time (t).

What is the measurement of velocity?

metric seconds per second

Velocity is a vector representation of a particle's or object's motion with regard to time. The recognised unit of magnitude for velocity is the metre per second (m/s), sometimes known as speed.

What does the word "velocity" represent in terms of its graphic meaning?

alphabet v

The letter "v" in capital letters stands for both velocity and speed (boldface). A bar with average values is located above the symbol. When the shortest path is used to measure distance, the amount of displacement is always less than or equal to the distance between the two locations.

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A 10. 0 g pebble is placed in a sling shot with a spring constant of 200. 0 n/m and is stretched back 0. 500 m. What is the maximum velocity the pebble will acquire?.

Answers

The maximum velocity the pebble acquires while placing it in a sling shot with a certain spring constant and in a stretched back position is 70.71 m/s.

Given that,

Mass of the pebble m = 10 g

Spring constant k = 200 N/m

Extension in the sling shot x = 0.5 m

As energy is conserved therefore, slingshot's elastic potential energy is converted into kinetic energy of pebble,

1/2 k x² = 1/2 m v²

200 × 0.5² = 10 × 10⁻³ v²

10⁻² v² = 50

v² = 50 × 10²

v = 70.71 m/s

The maximum velocity of the pebble is calculated to be 70.71 m/s.

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Which of the following is NOT a likely result of regular physical activity?
A.
increased energy
B.
decreased attention span
C.
improved school attendance
D.
improved quality of life



Please select the best answer from the choices provided.


A
B
C
D

Answers

C improved school attendance

Answer: B

Explanation:

took the test

How does shaking the box represent the energy given off by the radioactive
elements when they become stable?

Answers

Answer:

shaking the box requires energy given off when the elements change to become stable.

a 20 newton block is at rest at the bottom of a frictionless incline as shown in the diagram. How much work must be done against gravity to move the block to the top of the incline

Answers

The work done in raising the block is 60 J.

What is the work that is done against gravity?

We have to note that the work that is done against gravity is the work that is needed so as to be able to raise the block through a vertical distance and this has to be at the back of our minds.

Here we can see in the image that is attached that the vertical height through which the block has been raised is 3m.

We know that the work done = Fh

F = Weight of the block

h = Height of the incline

Thus;

Work = 20 N * 3 m = 60 J

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A 6 kg block initially at rest is pulled to the right along a frictionless, horizontal surface by a constant horizontal force of magnitude 12 n. Find the blocks speed after it has moved through a horizontal distance of 3 m.

Answers

The speed of that block after it has moved in the 3 m of horizontal field will be 3.46 m/s.

How to calculate the blocks speed after moved through a horizontal distance?

Since the block move in a horizontal we field, we can apply the second Newton law where F = m x a to find the acceleration. The calculation will be:

F = m x a

12 = 6 x a

a = 2 m/s²

Then find the speed by kinetic equation where the formula is V₂² = V₁² + 2as. So:

V₂² = V₁² + 2as

V₂² = 0² + 2 (2) (3)

V₂² = 0 + 12

V₂ = √12

V₂ = 3.46 m/s

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A robot vacuum cleaner cleans the Potters front room. Which is the vacuum cleaner's useful output energy? (1 p
O kinetic energy that moves the robot and its brush
O electric energy that recharges the robot's battery
Othermal energy that warms the robot
sound energy that makes a whirring noise

Answers

kinetic energy that moves the robot and its brush.

What does a robot vacuum cleaner do?A robotic vacuum is a self-propelled floor cleaner that collects dirt and debris from carpets and hard floors using brushes, a spinning brush, or an air-driven turbine. Without any assistance from humans, they operate independently. Dedicated floor mop or a combination vacuum. The basic principles of how each robot mop works are the same: Water is stored in a tank that you fill, and it is released when the robot moves around your floors while utilising an associated cloth or pad to scrape dirt off the surface. An autonomous robotic vacuum cleaner, sometimes known as a generic trademark, features a restricted vacuum floor cleaning system coupled with sensors, robotic drives, and programmable controllers and cleaning routines.

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The processes that transform rock from one type to another are part of the

Answers

The different types of rocks found in the Earth's crust are created and altered through a sequence of events known as the rock cycle.

The cycle of rocks

Geologists use the term "rock cycle" to describe how the three main types of rocks—sedimentary, metamorphic, and igneous—transition throughout the course of geologic time. When pushed outside of its equilibrium circumstances, each type of rock undergoes change.

The three major rock types—igneous, metamorphic, and sedimentary—are formed and degraded in accordance with various applications of heat and pressure throughout time, according to a web of processes known as the rock cycle. For instance, adding heat and pressure transforms sedimentary rock shale into slate.

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Other than the first shell, which can hold up to 2 electrons, how many electrons will make a "full" valence shell?.

Answers

A full valence shell is one that is filled with the maximum number of electrons that it can hold. For all shells except the first shell, this number is 8 electrons.

What is electrons?

Electrons are subatomic particles that have a negative electrical charge. They are the primary component of atoms, and they are responsible for most of the properties of chemical elements. Electrons orbit around the nucleus of an atom, and they can move freely between atoms in a chemical reaction. Electrons can also form bonds with other atoms, allowing them to create molecules and other compounds. Electrons also play a major role in electricity, as they are the particles that move through wires and other conductors, carrying energy from one place to another.

This is because each shell can hold a maximum of 2 electrons per sub-shell, and each shell has four sub-shells (s, p, d, and f). So, 2 electrons x 4 sub-shells = 8 electrons.


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a 12.5-kg board, 4.00 m long, is being held up on one end by Ahmed. He calls for help in lifting the board, and Judi responds

Answers

F min=61.25N Ahmed is supporting a 12.5 kg, 4.00 m long board on one end. Judi responds to his request for assistance by accelerating the speed of the motion, and is the rate for which velocity varies over time.

Explain what an acceleration is.

acceleration is the rate of change in both speed and the direction of velocity over time. When anything moves faster or slower in a straight line, it is said to have been accelerated. So because direction is constantly changing, even motion on the a circle accelerates at a constant pace.

What happens if you speed up?

This means that a velocity change can be either an alteration in the speed or direction of motion of an object. Acceleration is the process by which an item alters its direction, speed, or both.

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How does an HEV work?

Answers

An HEV, or hybrid electric vehicle, is a type of vehicle that works by combining a traditional gasoline-powered engine with an electric motor that is powered by a battery.

The electric motor and battery are used to supplement the gasoline engine, allowing the vehicle to operate more efficiently and using less fuel.

The electric motor is used to power the vehicle at low speeds and during acceleration, while the gasoline engine is used at higher speeds and to keep the battery charged.

By using both sources of power, an HEV is able to work better fuel economy than a traditional gasoline-powered vehicle, making it a great choice for those looking to reduce their environmental impact.

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a 4 kg object posesses 18 J of kinetic energy. what is its velocity?

Answers

A 4kg object possesses 18J of kinetic energy then 3m/s will be its velocity.

Given:

Maas of object- 4kg

Kinetic energy-18J

Velocity-?

Kinetic energy is the energy possessed by a moving object, depending on its mass and velocity.

therefore,Kinetic energy =1/2 x mv^2

18J = 1/2 x 4kg x v^2

18J = 0.5 x 4kg x v^2

18J = 2kg x v^2

v^2 = 18/2

v^2 = 9

v = √9 (square root of 9)

v = 3 m/s

The velocity of a 4kg object with 18J of kinetic energy will be 3m/s.

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If a ball is dropped from the top of a
building and it takes 11 seconds to hit the
ground, how tall is the building? travel?

Answers

the answer should be 103.64 ft if the ball is less than 1 lb.

Mike jumps 1 m down onto a walkway. His downward motion stops in 0. 02 seconds. If he forgets to bend his knees, what force is transmitted to his leg bones? mike's mass is 70-kg.

Answers

The force that transmitted into his leg bones are 15479.52 N. We use third law of kinematic equation to find it.

How to find the force transmitted to his leg bones?

First, we have to find the value of his velocity when he stop using the third kinematic equation.

V₂² = V₀² + 2 x g x h

V₂² = 0 + 2 x 9.8 x 1

V₂ = 4.42 m/s

Then find the acceleration he has as follow:

a = (V₂-V₁) : t

a = [tex]\frac{4.42-0}{0.02}[/tex]

a = 221.136 m/s

Then, find the force that we want to know by:

F = m x a

F  = 70 x 221.136

F = 15479.52 N

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summary of a article“exercise can help control stress

Answers

Regular exercise improves confidence, mood, and calm while reducing the symptoms of moderate anxiety and depression. Exercise can also help you sleep better, which is commonly interrupted by stress, sadness, and worry.

Is depression influenced by stress?

Stress that lasts a long time or is chronic can be harmful to you on its own, but it could also make depression worse, a mental condition that makes you feel depressed and uninterested in things you usually find enjoyable. Depression can affect your ability to concentrate, concentrate, and regulate your appetite.

Can stress make you sick?

Chronic stress, which lasts for a lengthy period of time, can impair a patient's overall and immune systems. If you are constantly tensepatient's overall and immune systems. If you are constantly tense Stress & Health is an international forum for disseminating cutting-edge theoretical and empirical research that significantly

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lydia picks up oranges each of which is 1kg from a basket on the ground and puts them on a table that is 1.5 meter high. how much work is she doing on each orange

Answers

Explanationnswer:



Answer:find out ;/

Explanation:

To calculate the amount of work Lydia is doing on each orange, you need to use the formula for work, which is Work = Force x Distance x Cos(theta). In this case, the force is the weight of the orange (1 kg), the distance is the height of the table (1.5 meters), and theta is the angle between the force and the distance (which is assumed to be 90 degrees, since she is lifting the orange straight up).

So the work done on each orange is 1 kg x 1.5 meters x cos(90) = 1.5 Joules.

A 400 Kg truck rushing through the street at 20 m/s crashes into a 50 Kg car moving in the same direction at 2 m/s. after the collision the car moves at 142 m/s, what is the final velocity of the truck?

Answers

The final velocity or speed of the truck is about 2.5 m/s.

What is the momentum?

We have to recall that in this case, the principle of the conservation of the linear momentum must come to mind. From the principle that we have it ought to be know that;

Momentum before collision = Momentum after collision

Then we would have;

(400 * 20) + (50 * 2) = (50 * 142) + (400 * v)

8000 + 100 = 7100 + 400v

8100 - 7100 = 400v

v = 1000/400

v = 2.5 m/s

The velocity is 2.5 m/s from the calculation that we have done.

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define the linear transformation t by t (x) = ax. find (a) ker(t ), (b) nullity(t ), (c) range(t ), and (d) rank(t ). a = 1 2 3 1 5 3 1 1 0 4 1 1 3 1 2 why do we refer to the letters to timothy and titus as the pastoral letters? how are they dierent from the other letters weve studied so far a corporation must be incorporated in each state in which it does business. group of answer choices true false if we have a 8-pole generator, what is its synchronous speed in europe? how many grams of magnesium are needed to completely react with 54.5 ml of oxygen gas at stp? be sure to balance the equation. Major crises in Eastern Europe and the Middle East create severe challenges for Eisenhower's foreign policy. An American plane over the Soviet Union, disrupting a summit and retiling the Cold War. Eisenhower refuses to use American troops to prevent a communist victory over a colonial power in Asia. t/f Read this passage from chapter 5 of The Prince.There are, for example, the Spartans and theRomans. The Spartans held Athens and Thebes,establishing there an oligarchy: nevertheless they lostthem. The Romans, in order to hold Capua, Carthage,and Numantia, dismantled them, and did not losethem. They wished to hold Greece as the Spartansheld it, making it free and permitting its laws, and didnot succeed. So to hold it they were compelled todismantle many cities in the country, for in truth thereis no safe way to retain them otherwise than byruining them. And he who becomes master of a cityaccustomed to freedom and does not destroy it, mayexpect to be destroyed by it, for in rebellion it hasalways the watchword of liberty and its ancientprivileges as a rallying point, which neither time norbenefits will ever cause it to forget. And whatever youmay do or provide against, they never forget thatame or their privileges unless they are disunited orWhat text evidence supports Machiavelli's primarypurpose to persuade readers that a conquering princemust destroy a former republic if he hopes to holdit? Select three options.the list of cities Rome and Sparta conqueredthe portrayal of Greece as being held by Spartathe explanation of how Rome held Capua,Carthage, and Numantiathe description of liberty as a rallying cry forrebellion in former republics53:48the example of the Florentines losing control overPisaNextSubmit a square pyramid sitting on its base. The sides are 8cm, 14cm, and 14cm. whats the surface area of the pyramid in square centimeters? TRUE/FALSE. The process by which a majority opinion becomes exaggerated because my minorities do not feel comfortable speaking out in opposition is called the spiral of silence. a root widget's destroy method can be used as a callback function for a quit button.T/F The average tire pressure for an automobile is 38.5 psi which is how many atmospheres of pressure? a) 1.77 x 10-3 atm. b) 566 atm. c) 2.62 atm. While comparing 'Notes and Mortgages', which one of the following statements is False about 'Notes'?1.You can borrow money only if you pledge something2. The legal instrument is not recorded in the County Office/ Recording Office.3. It is more personal and mostly an 'I.O.U' to an individual.4. Mortgages use 'property' as a collateral. A trapezoidal weir has a length of 19ft with side slope 1 horizontal to 2 vertical. What is the head over the weir for a flow of 100 cfs? Which of these conditions does not share significant overlap with overtraining syndrome?A. DOMSB. chronic fatigue syndromeC. clinical depressionD. fibromyalgia Triangle ABC, A (1,7), B (3, 4), and C (6,5) is reflected across the y-axis then translated left five units to form Triangle A'B'C'Select true or false for each statement Side A'B' is the same length as side AB __ Triangle ABC and Triangle A'B'C' are similar but not congruent ___ Triangle ABC and Triangle A'B'C' are similar and congruent ___ determine the mathematical equation for volume (v) in units of liters, and of a piston filled with an ideal gas subjected to increasing pressure (p) in units of atmospheres What trinomial can be added to x^2+5x-8 to give me a sum of 2x-5 in which month would you expect to find the most drone brood in colonies? ________ employ active devices such as transistors and operational amplifiers in combination with r, l, and c elements. E. P. Whipple once said, "Books are lighthouses erected in the great sea of time. " Explain the meaning of this quote and how it is applicable to your own life.