A particle of kinetic energy 50 eV in free space travels into a region with a potential well of depth 40 eV. What happens to its wavelength? a) It will increase or decrease depending on the mass of the particle. b) It remains the same. c) It increases in the region of the well. d) It cannot be determined from the information given. e) It decreases in the region of the well.

Answers

Answer 1

The wavelength of the particle decreases in the region of the well. Therefore, the correct answer is e) It decreases in the region of the well.

The energy of a particle in a potential well determines the wavelength of the wave. The wavefunction of a particle in a potential well must be continuous across the boundaries of the well, but it may vary in shape. In the potential well, the wavefunction is dominated by the kinetic energy of the particle. In the well, the wavefunction is dominated by the potential energy of the particle.

a) It will increase or decrease depending on the mass of the particle.

c) It increases in the region of the well.

e) It decreases in the region of the well. There are various possible ways to approach the solution of this problem.

One way to approach this problem is to use the time-independent Schrödinger equation and boundary conditions. Another way to approach this problem is to use the wave-particle duality principle of quantum mechanics. Let's use the wave-particle duality principle of quantum mechanics to solve this problem.

According to the wave-particle duality principle of quantum mechanics, a particle of kinetic energy E and momentum p behaves like a wave of wavelength λ and frequency f, where λ=h/p and f=E/h, and h is Planck's constant.

Therefore, the wavelength of the particle in free space is λ1=h/sqrt(2*m*E1), where m is the mass of the particle, and E1 is the kinetic energy of the particle in free space.

The wavelength of the particle in the region of the well is λ2=h/sqrt(2*m*(E1-V)), where V is the depth of the well. Therefore, the ratio of the wavelengths is λ2/λ1=sqrt((E1-V)/E1).

Substituting the given values, we get λ2/λ1=sqrt((50-40)/50)=sqrt(2/5). Therefore, the wavelength of the particle decreases in the region of the well. Therefore, the correct answer is e) It decreases in the region of the well.

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Related Questions

which of the following changes would induce an electromotive force (emf) in the loop? when you consider each option, assume that no other changes occur

Answers

To induce an electromotive force (emf) in a loop, the following changes can be considered, Change in magnetic field strength through the loop, Change in the area of the loop within the magnetic field, Change in the orientation of the loop with respect to the magnetic field.

When any of these changes occur, an emf is induced in the loop according to Faraday's law of electromagnetic induction. The emf is a voltage that drives an electric current within the loop.

1. Change in magnetic field strength: If the magnetic field strength passing through the loop changes, it will induce an emf in the loop. This can be achieved by altering the current flowing through a nearby wire or by using a magnet to change its distance or orientation relative to the loop.

2. Change in the area of the loop: If the area of the loop within the magnetic field changes, it will induce an emf. This can be done by physically changing the size or shape of the loop while keeping it within a constant magnetic field.

3. Change in the orientation of the loop: If the orientation of the loop with respect to the magnetic field changes, it will induce an emf. This can be achieved by rotating or tilting the loop relative to the magnetic field direction.

In summary, any change in the magnetic field strength, the area of the loop, or the orientation of the loop within the magnetic field will induce an emf in the loop, according to Faraday's law of electromagnetic induction.

Complete question is which of the following changes would induce an electromotive force (emf) in the loop? when you consider each option, assume that no other changes occur. check all that apply.

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What do you think will be the pressure result of the current experimental conditions?

Answers

Pressure above the left beaker the pressure outcome of the current experimental circumstances.

What do u mean by pressure?

Either the action of pressing or the state of pressing. A strain or force exerted against resistance in any direction. Force per unit of area is a measure of force exerted uniformly over a surface.

Pressure is the ratio of the force applied perpendicularly to an object's surface to its area. Its abbreviation is "p" or "P."

The force applied by one region of a gas, liquid, or solid to another, expressed as a function of area. A substance is said to have negative pressure if another substance exerts greater force per unit area on it than it does on it. Pressure is commonly measured in Pascal units, atmospheres, or pounds per square inch. Its value is just the opposite of the pressure the other substance is exerting.

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In the figure, a c-shaped conductor is in a uniform magnetic field b, which is increasing. Will charge build up on the terminals x and y ? if so, describe the electric potential difference between these points.

Answers

Charge will build up on the terminals x and y and X is at lower potential than Y.

What is induced emf?

A voltage will be created if the magnetic flux through a coil is altered. The induced emf is the name given to this voltage.

There are two techniques to induce EMF:

An induced emf is created when a conductor carrying an electric current travels through a magnetic field.An induced EMF is created when a magnetic field revolves around an electric field.

In this case magnetic field B is increasing. That induces electromotive force and charge will build up on the terminals x and y and X is at lower potential than Y.

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A wave with a wavelength of 3 m travels with a frequency of 450 Hz. What is its speed? Answer quickly.

Answers

The speed of a wave with a wavelength of 3m and frequency of 450Hz is  1350 meters per seconds.

How to calculate the speed of a wave?

Wavelength is simply the distance over which the shapes of waves are repeated. It is the spatial period of a periodic wave.

It is expressed as;

λ = c ÷ f

Where c is speed, f is frequency and λ is wavelength.

Given the data in the question;

Wavelength λ = 3mFrequency f = 450 Hz = 450 s⁻¹Speed c = ?

Plug the given values into the above formula and solve for speed v.

λ = c ÷ f

c = λ × f

c = 3m × 450s⁻¹

c = 1350 ms⁻¹

Therefore, the speed of the wave is 1350m/s.

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23. As the frequency of a wave increases, the period of the wave

Answers

Frequency is inversely proportional to the time period of the wave. So when time period increases then the frequency will decrease

Answer: decreases

Explanation: As frequency increases the period of a wave decreases because they have an inverse relationship. The equation for wave period (T) is the inverse of the frequency (f). So, as frequency increases, the value for period will decrease accordingly.

4. A dry cleaner throws a 22 kg bag of laundry onto a stationary 9.0 kg cart. The cart and the laundry bag
begin moving at 3.0 m/s to the right. Find the velocity of the laundry bag before the collision.

Answers

The velocity of the laundry bag before collision is 4.22 m/s. The collision of two objects in the absence of an external force does not affect the momentum of the two bodies.

What is Collision?

Collision is the sudden, forceful coming together of two objects in direct contact with each other, such as, two billiard balls, a golf club and a ball, a hammer and a nail head, two cars when being coupled together.

In order to solve this problem, the principle of conservation of momentum can be applied. This tells us that the momentum of a system is preserved before and after a collision.

Both the movements i.e., bag and cart are positive, since they both move in the same direction. Now, the momentum of objects before the collision is equal to the momentum of objects after the collision.

This can be represented as:

m₁ × v₁ = m₂ × v₂

Here, m₁ = mass of the laundry bag = 22kg

v₁ = velocity of the laundry bag

m₂ = sum of the mass of laundry bag and cart = 9kg

v₂ = velocity of the moving cart = 3m/s

m₁ × v₁ = m₂ × v₂

22kg × v₁ = (22+9)kg × 3m/s

v₁ = (31kg × 3m/s)/ 22kg

v₁ = 93/22

v₁ = 4.22m/s.

Therefore, the velocity of the laundry bag before collision is 4.22m/s.

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what are similar things that convex and concave have in common ?

Answers

Answer:

they are both curved surfaces

Explanation:

A 51 cm diameter wheel accelerates uniformly about its center from 150 rpm to 290 rpm in 4.0 s. (A)Determine the radial component of the linear acceleration of a point on the edge of the wheel 1.1 s after it has started accelerating.

Answers

Answer:

Radial component of the linear acceleration = 99.47 m/s^2

Explanations:

The diameter of the wheel, d = 51 cm

The radius, r = d/2 = 51/2 = 25.5 cm

r = 25.5/100 = 0.255 m

r = 0.255 m

\(\begin{gathered} N_{i\text{ }}=\text{ 150 rpm} \\ w_i=\text{ 150}\times\frac{2\pi}{60} \\ w_i=\text{ }15.71\text{ rad/s} \end{gathered}\)\(\begin{gathered} N_f=\text{ 290 rpm} \\ w_f=\text{ 290}\times\frac{2\pi}{60} \\ w_f=\text{ }30.37\text{ rad/s} \end{gathered}\)\(\begin{gathered} w_f=w_i+\alpha t \\ 30.37=15.71+4\alpha \\ 4\alpha=30.37-15.71 \\ 4\alpha=\text{ }14.66 \\ \alpha=\frac{14.66}{4} \\ \alpha\text{ = }3.67rad/s^2 \end{gathered}\)

At t = 1.1, first calculate the new angular velocity

\(\begin{gathered} w=w_1+\alpha t \\ w\text{ = 15.71+3.67(1.1)} \\ w\text{ = 15.71+}4.04 \\ w\text{ = }19.75\text{ rad/s} \end{gathered}\)

The radial component of the linear acceleration is given as:

\(\begin{gathered} a_r=w^2r \\ a_r=19.75^2\times0.255 \\ a_r=\text{ }99.47\text{ m/}s^2 \end{gathered}\)

40 points!

Fill in the blanks in the following paragraph to correctly describe the behavior of waves.

A wave is a(n) _______________ that carries _______________ through space. Some waves travel through empty space. Other waves must travel through a material, also known as a _______________. Waves transfer energy but not _______________.
d. Match each term to its correct description. (1 point)

A. Refraction
B. Diffraction
C. Reflection
D. Constructive interference
E. Destructive interference

_____ The superimposition of waves to create a wave with a larger amplitude

_____ The superimposition of waves to create a wave with a smaller amplitude

_____ The bending of a wave as it enters a different medium

_____ The bending of a wave around an obstacle

_____ The bouncing of a wave off a surface

Answers

A wave is a(n) oscillation that carries energy through space. Some waves travel through empty space. Other waves must travel through a material, also known as a medium. Waves transfer energy but not matter.

d. Match each term to its correct description.

A. Refraction - The bending of a wave as it enters a different medium
B. Diffraction - The bending of a wave around an obstacle
C. Reflection - The bouncing of a wave off a surface
D. Constructive interference - The superimposition of waves to create a wave with a larger amplitude
E. Destructive interference - The superimposition of waves to create a wave with a smaller amplitude

Please answer!!! This is due today so please help me, thank you! :)

Please answer!!! This is due today so please help me, thank you! :)

Answers

the answer is d because in the graph the next process after uplift is weathering

- What is an earthquake?

Answers

Answer:

A earthquake is the shaking of the surface of the Earth resulting from a sudden release of energy in the Earth's lithosphere that creates seismic waves

Which of the following actions will increase the inertia of a shopping cart?
-Adding items to the cart
-
-Removing the wheels from the cart
O Rearranging items in the cart

Oiling the cart's wheels

Answers

Answer:

A. Adding items to the cart

Explanation:

Inertia can be defined as the tendency of an object or a body to continue in its state of motion or remain at rest unless acted upon by an external force.

In physics, Sir Isaac Newton's first law of motion is known as law of inertia and it states that, an object or a physical body in motion will continue in its state of motion at continuous velocity (the same speed and direction) or, if at rest, will remain at rest unless acted upon by an external force.

The inertia of an object such as a shopping cart is greatly dependent or influenced by its mass; the higher quantity of matter in a shopping cart, the greater will be its tendency to continuously remain at rest.

Hence, adding items to the cart is an action which will increase the inertia of a shopping cart, by increasing its tendency to be at rest.

Adding items to the cart will increase the inertia of a shopping cart.

Inertia refers to the resistance that an object has to modify its velocity and/or direction during movement.

Inertia not only includes the speed of the object but also the direction of its movement.

Inertia also can be described as the inherent tendency of a given object to resist changes in its state of movement (motion).

In conclusion, adding items to the cart will increase the inertia of a shopping cart.

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If an object weighs 140N on the Moon, what will it weigh here on Earth?

Answers

On the moon you weigh 6 times lighter so for this problem you multiply 140n by 6.

What is weight on Moon?

Your weight on the Moon is 16.5% what you would experience on Earth. In other words, if you weighed 100 kg on Earth, you would weigh a mere 16.5 kg on the Moon. For you imperial folks, imagine you tipped the scales at 200 pounds.

It’s because of the lower gravity on the Moon. Objects on the surface of the Moon experience only 16.5% of the gravity they would experience on Earth.

The mass of the Moon is only 1.2% the mass of the Earth, so you might expect it to have only 1.2% of the gravity. But it’s only 27% of the size of the Earth, so when you’re standing on the surface of the Moon, you’re much closer to its center of gravity.

Therefore, On the moon you weigh 6 times lighter so for this problem you multiply 140n by 6.

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what is the third harmonic of a tone that has a fundamental frequency of 150hz

Answers

The third harmonic of a tone with a fundamental frequency of 150 Hz is 450 Hz.

The frequency of an event is the number of times it occurs or repeats in a specific amount of time. Frequency refers to the rate at which waves oscillate or vibrate in the context of waves, such as sound or light waves. It is expressed in hertz (Hz), or the number of cycles per second. A higher frequency denotes more cycles taking place in a specific amount of time, giving rise to higher pitches for sound waves or a bluer color for light waves. Understanding different phenomena relating to waves, communication networks, and the behavior of electromagnetic radiation depends fundamentally on frequency.

The extra frequencies that are generated in addition to a wave's basic frequency are referred to as harmonics. There are harmonics that are integer multiples of the fundamental frequency that are produced when a vibrating item or sound source makes a tone with that fundamental frequency. To find the third harmonic of a tone with a fundamental frequency of 150 Hz, we multiply the fundamental frequency by 3.

Third harmonic frequency = Fundamental frequency × 3

Third harmonic frequency = 150 Hz × 3

Third harmonic frequency = 450 Hz

Therefore, the third harmonic of a tone with a fundamental frequency of 150 Hz is 450 Hz.

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PLS HELP DUE IN 30 MINS!!! True or false: A large-amplitude pulse travels at a faster speed than a small-amplitude pulse. Explain your answer.

Answers

Answer:

False

Explanation:

Larger pulse with more energy means that the wave has large amplitude. As in the given question, both the waves are travelling in the same medium, hence their speeds will remain same and therefore the larger pulse will not overtake the smaller pulse. Remember the amplitude of a wave does not affect the speed at which the wave travels

Answer:

False

Explanation:

The amplitude of a wave does not affect the speed at which the wave travels.  The speed of a wave is only altered by alterations in the properties of the medium through which it travels.

true and false? When an object remains stationary, any forces acting on it must be balanced.

Answers

Answer:

Balanced forces acting on a stationary object cause the object to remain at rest. True: Forces can give energy to an object it acts on causing the object to change it state of motion. If forces acting on an object are balanced, they do not cause a change in motion.

Answer:

False

Explanation:

It is NOT possible for just three forces to be acting upon an object and they still balance each other. A free-falling object experiences a balance of forces.

What acceleration will you give to a 24.5 kg
box if you push it with a force of 78.3 N?
Answer in units of m/s2.

Answers

Heya!!

For calculate aceleration, lets applicate second law of Newton:

                                                   \(\boxed{F=ma}\)

                                                 Δ   Being   Δ

                                             F = Force = 78,3 N

                                            m = Mass = 24,5 kg

                                             a = Aceleration = ?

⇒ Let's replace according the formula and clear "a":

\(\boxed{a=78,3\ N / 24,5\ kg}\)

⇒ Resolving

\(\boxed{a=3.19\ m/s^{2}}\)

Result:

The aceleration is 3,19 meters per second squared (m/s²)

Good Luck!!

what two things does the strength of gravity depend on?

Answers

Answer:

i found this i hope it helps

Explanation:

The magnitude of this force depends upon the mass of each object and the distance between the centers of the two objects. Mathematically, we say the force of gravity depends directly upon the masses of the objects and inversely upon the distance between the objects squared.

Does earths gravitational force field act on objects that aren’t touching earths surface?

( Explanation needed ASAP NEEDED

Answers

Answer:

no the earth gravitational force field

Answer:

yes, it acts on everything within the earth

Explanation:

6. What is the potential energy of your 3 kg puppy that is sitting in the grass in your backyard?

Answers

Answer:

The answer is 0 J

Explanation:

Mass=3

Acceleration= 9.8

Height=0

The eqation is \(3(9.8)(0)\) or \(3*9.8*0\)

and if you do the math it adds up to 0 J

The potential energy of your 3 kg puppy that is sitting in the grass in your backyard would be 0 Joules .

What is mechanical energy?

Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total stored energy in the system which is represented by total potential energy .

ME = PE + KE

As for the given problem, we have to find out what the potential energy of your 3 kg puppy that is sitting in the grass in your backyard,

The potential energy of the puppy = m × g × h

                                                  = 3 × 9.8 × 0

                                                  = 0

Thus , the potential energy of your 3 kg puppy that is sitting in the grass in your backyard would be 0 Joules .

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A simple string light produces 10 J of light energy each second. What is the efficiency of the light bulb if it uses up 200 J each second?

Answers

The lightbulb has a 5% efficiency. Accordingly, only 5% of the energy input is transformed into usable light energy, with the remaining 95% being lost as heat or other kinds of energy.

What is Efficiency ?

Efficiency is referred to as the useful energy input to output ratio, represented as a percentage. Efficiency (η) can be calculated mathematically as:

η = (Useful output energy / Input energy) * 100%

In this case, the useful output energy is given as 10 J each second, and the input energy is 200 J each second. Plugging these values into the efficiency formula:

η = (10 J / 200 J) * 100%

Calculating the expression above:

η = (0.05) * 100%

η = 5%

Therefore, The lightbulb has a 5% efficiency. Accordingly, only 5% of the energy input is transformed into usable light energy, with the remaining 95% being lost as heat or other kinds of energy.

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thermal energy is transferred between objects only when they have different ______.

Answers

Thermal energy is transferred between objects only when they have different temperatures.

The movement of atoms and molecules within a substance is a form of energy known as thermal energy.

When two objects are in contact, or even in proximity, the atoms and molecules in the hotter object collide with those in the colder object.

Because of these effects, a portion of the kinetic energy from the more sizzling object is moved to the colder object, raising the temperature of the previous and bringing down the temperature of the last option.

A material's thermal conductivity — an estimation of how well it moves heat — decides how rapidly heat is moved between various sorts of materials.

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a spring is used to fire two identical marbles directly upward. immediately after firing, the first marble has an initial velocity, v, and rises to a height h above the spring. the second marble has an initial velocity 4v. what distance above the spring does the second marble reach?

Answers

As per the given statement the max height attained by the second marble is 16 times of the max height of the first marble with the velocity of 4v.

What is velocity?

It can be defined as the rate of change of the object's position with respect to a frame of reference and time. Its S.I unit is m/s.

To calculate the max height attained by the second marble we use the following formula

\(\frac{1}{2}\)m\(v^{2}\)=mgh

Rearranging the equation, we get

h=\(v^{2}\)/2g

For the first ball,

\(h_{1}\)max=\(v^{2}\)/ 2g

acc. to the given data

Initial velocity of first marble= v

and height attained = h

For the second ball,

Initial velocity of second  marble= 4v

So attained height is?

h2max=v22 /2g

h2max=(4v)2/2g

h2max=16v2/2g

h2max=16×v2/2g                      now (h1max=v21/ 2g)

h2max=16×h1max

The max height of the second marble is 16 times of the max height of the first marble with 4v velocity.

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6. traction a. friction between a tire and the road.b. pushes a moving object out of a curve and into a straight linec. the ability of a car to hold a straight lined. a road higher in the center than on either edge 7. kinetic energy a.a force that keeps objects moving in a straightb. reduces the effects of inertiac. energy of motiond. a road higher in the center than on either edge 8. force of impact a. a force that keeps objects moving in a straight line.b. a road higher in the center than on either edgec. the force with which a moving vehicle hits another objectd. perception distance, reaction distance, and braking distance

Answers

Answer:

6. a. friction between a tire and the road

7. c. energy of motion

8. c. the force with which a moving vehicle hits another object

Explanation:

6. As a car moves along the road, the tires push back against the ground. As tires push back against the ground, the road exerts and opposing force to the motion of the tires. This opposing force is the friction between the tires and the road. This opposing force between the tires and the rad is called traction.

So, the answer is a

7. As an object moves, it has energy. This energy due to its motion is called kinetic energy.

So, the answer is c

8. When a moving vehicle hits another object, it exerts a force on the object. The process of the vehicle hitting the other object is called impact and the force exerted on the object is called the force of impact.

So, the answer is c.

The gas-phase reaction between nitrogen and oxygen was carried out in a device designed to maintain constant pressure. There are two cylinders of equal volume with a reaction arrow between them. The cylinder on the left has two molecules of O 2 and two molecules of N 2. The cylinder on the right has four molecules of N O. A constant pressure is applied to both cylinders Write the balanced chemical equation for the reaction between nitrogen oxygen. Include physical states.

Answers

Answer:

2N₂(g) + 2O₂(g) ----> 2NO(g)

Explanation:

Gaseous nitrogen and gaseous oxygen reacts in a molar volume ratio of 1 : 1 to produce nitrogen (ii) oxide.

In the reaction, two molecules of nitrogen gas combines with two molecules of oxygen gas in the cylinder to form two molecules of nitrogen (ii) oxide. The equation of the reaction is given below:

2N₂(g) + 2O₂(g) ----> 2NO(g)

Nitrogen (ii) oxide is formed naturally during lightning bolts. The heat released the lightning flashes causes the nitrogen and oxygen in air to combine to form nitrogen (ii) oxide. The nitrogen (ii) oxide formed however, quickly reacts with more oxygen to form nitrogen(ii) oxide.

Nitrogen (ii) oxide is a colorless, poisonous gas. It is slightly denser than air and almost insoluble in water. it is also neutral to litmus.

The gas-phase reaction between nitrogen and oxygen was carried out in a device designed to maintain constant

The balanced chemical equation for the reaction between nitrogen and oxygen is:

2N₂(g) + 2O₂(g) —> 4NO(g)

The equation between nitrogen and oxygen can be written as follow:

N₂(g) + O₂(g) —> NO(g)

The above equation can be balance as illustrated below:

There are 2 atoms of O on the left side and 1 atom on the right side. It can be balance by writing 2 before NO as shown below:

N₂(g) + O₂(g) —> 2NO(g)

Multiply the equation by 2, we have:

2N₂(g) + 2O₂(g) —> 4NO(g)

The equation is balanced!

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A wave traveling in a string has a wavelength of 35 cm, an amplitude of 8. 4 cm, and a period of 1. 2 s. What is the speed of this wave?.

Answers

0.29 m/s is the speed of this wave.

How can we determine a wave's speed?

Given: The wave's traveling wavelength is () = 35 cm

The wave's period (t) is 1.2 seconds.

The wave's frequency is 0.833 Hz.

We must ascertain a wave's wave speed.

Formula for wave speed is 35 x 0.833 (wavelength x frequency).

= 29.167 cm/sec

= 0.29 m/sec

As a result, the wave's speed is 0.29 m/s.

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what are three effects of using only non-renewable resources? please help

Answers

Non-renewable resources need to be burnt. This means we release heat into the air, we release carbon dioxide into the air which causes greenhouse effect, we also reduce fossil fuels which are needed for other purposes.

Give two examples of situations or applications where electronic circuits and electric circuits are used together​

Answers

The difference between both is that electric circuits makes use of relays, lighting controls, door bells e.t.c, whereas, electronic circuits deal with semiconductors that include transistors and integrated circuits.

Two examples are Smoke Detectors and Electric Toasters.

Now, the examples of two situations where both circuits are used together are;

1) Smoke Detector; In smoke detectors, there is the aspect of power which is the battery used to power the device and that operates with an electric circuit whereas the detector used to detect the smoke and make it beep is based on an electronic circuit.

2) Electric Toaster; The elements of the toaster used to heat materials operates on the principle of electric circuits while the timer used to stop the toasting is based on the principle of electronic circuits.

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What is the potential energy of a 2kg plant that is on a windowsill 1.3m high?

Answers

Answer:

P.E = 25.48 Joule

Explanation:

Here,

mass (m) = 2kg

height (h) = 1.3m

g = 9.8m/s^2

P.E = mgh

= (2) (9.8) (1.3)

P.E = 25.48 Joule

Thus, the potential energy of a 2kg plant that is on a windowsill 1.3m high is 25.48 Joule

-TheUnknownScientist

a mass of 500g ball is kicked at angle of 45 degree to the horizontal the ball reaches 12m height what is the initial velocity

Answers

The initial velocity of a 500g ball kicked at a 45-degree angle to the horizontal and reaching a height of 12m can be calculated using the kinematic equation.

What is the kinematic equation?

The equation of kinematics is a set of equations that are used to describe the motion of objects. They relate to displacement, velocity, acceleration, and time. Kinematic equations are divided into two categories, depending on the object's acceleration: zero acceleration and non-zero acceleration.

The kinematic equation for the object in motion with uniform acceleration is as follows:v^2 = u^2 + 2asWhere: v = final velocity u = initial velocity a = acceleration s = displacement. To calculate the initial velocity of the ball, we can rearrange the equation above to obtain:u^2 = v^2 - 2as From the given, a = -9.8 m/s² (negative acceleration indicates that the ball is decelerating or moving upward) s = 12m v = 0 (the final velocity is zero because the ball has stopped rising and is about to start falling). We'll use these values to calculate the initial velocity of the ball.u² = (0)² - 2(-9.8)(12)u² = 235.2u = sqrt(235.2)u = 15.33 m/s.

Therefore, the initial velocity of the ball is approximately 15.33 m/s.

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The graph of a function is shown on the grid. Emotion is a psychological construct that represents the coherent relationship among response channel as they react to stimulus change. The purpose behind the channels is to help the individual: Each box of candy canes has 12 candy canes. How much does each candy cane cost? dijkstra's algorithm is implemented based on this unsorted minimum priority queue. what is the running time of this implementation of dijkstra's algorithm? When the potential money multiplier is 5, a $10,000 increase in demand deposits a could support the creation of in new money (M1). Again, do not include the initial deposit in your calculation. O A) $15,000 B) $2000 OC) $40,000 D) $50,000 Which of the following will most likely increase the demand for a particular good?a. a decrease in incomeb. a decrease in the number of consumers purchasing substitute productsc. a fall in the price of substitute goodsd. an increase in time required to purchase complimentary goodse. a decrease in the price of complementary goods Briefly explain:Definitions of Supply chain managementA typical Supply chainSupply Chain StagesProcess View of Supply ChainAdvantages of Supply Chain ManagementSupply Chain DecisionsProblems in Supply Chain ManagementSupply chain sustainability A shareholder who uses corporate property for personal purposes has likely received a disguised dividend. True O False Which food is usually involved in the common foodborne infection illness anisakiasis?. Generally, people tend to think that predators are animals. What other kinds of predators can there be that aren't animals? Can someone help me with these Im lost Which macromolecule forms the foundation for the structure and activities of living cells?. How many moles are in 2.8x10^23 atoms of Calcium? Solve for x, using the tangent lines46 xCheck image below: Petrol costs 137p a litre at garage A, 139p a litre at garage B and 138p a litre at garage C. Carol has 27.50 and she needs to fill up her tank with 20 litres of petrol. 1. 20 litres cost at garage A. 2. 20 litres cost at garage B. 3. 20 litres cost at garage C. 4. Which garage should Carol go to, to fill up her car? 5. How much more money would she need if she went to the most expensive garage? I ask you to invest $100 in my company. I give you one of the following 3 justifications to invest. There is an 80 percent chance you will earn nothing. There is a 20 percent chance you will earn $400, over and above your initial investment. You will earn $80 over and above your initial investment. (A) Given these 3 explanations, which represents the scenario that moves you the most to make the investment? Why? (B) Is there any functional difference between these 3 scenarios? Why or why not? (C) What concept address this choice set? Define it Rani has 5 packages of pens. Each packet has 4 blue pens and 6 black pens in it. She wants to put the pens in two boxes with the same number in each box. How many pens will be in each box? List the following numbers in order from least to greatest.-9, -17, 7, 11, 26 hi pls help to answer my survey for a school project. dw no personal questions like name, age, contact info etc. were only asking info about which languages u use day to day. thank u hav a nice day ( ). (link in comments) Most Western European countries seem to be more _________ whereas the United States is much more _________________. Group of answer choices collectivist; interdependent individualistic; independent collectivist; individualist individualistic; collectivist