what fraction of the total energy of a sho is kinetic when the displacement is one third the amplitude? express your answer using one significant figure.

Answer:

The pressure at the bottom of the river is less than that at the bottom of the lake.

Explanation:

From Bernoulli's equation, the pressure difference is given by

ΔP = ρgΔh + ρ(v₂² - v₁²)/2 where ρ = density of water, g = acceleration due to gravity, Δh = depth, v₁ = velocity at top, v₂ = velocity at bottom

For the lake, v₁ = v₂, since the velocity at the top and bottom are the same. So,

ΔP₁ = ρgΔh + ρ(v₁² - v₁²)/2 = ρgΔh + 0 = ρgΔh

P₂ - P₁ = ρgΔh

P₂ = P₁ + ρgΔh

For the river, v₁ < v₂, since the velocity at the top of the river is greater than at the bottom.

So,

ΔP₂ = ρgΔh + ρ(v₂² - v₁²)/2.

Since  v₁ < v₂, ρ(v₂² - v₁²)/2 will be negative,

So,

ΔP₂ = ρgΔh - ρ(v₂² - v₁²)/2.

Since ρ(v₂² - v₁²)/2 is negative, making ΔP less than that in the lake.

So, ΔP₂ = ΔP₁ -  ρ(v₂² - v₁²)/2.

ΔP₂ = P₃ - P₁

P₃ - P₁ = P₂ - P₁ -  ρ(v₂² - v₁²)/2.

P₃ = P₂ - ρ(v₂² - v₁²)/2.

where P₃ = pressure at bottom of the river and P₂ = pressure at bottom of the lake and P₁ = atmospheric pressure at top of river and lake respectively.

Since the factor ρ(v₂² - v₁²)/2 is removed from the pressure at the bottom of the lake, the pressure at the bottom of the river is therefore less than that at the bottom of the lake.

The maximum acceleration of the object is 10.94 x 10² m/s².

The equation of displacement is given as,

y(t) = 4.8 cos(15.1 t)

It is in the form, y(t) = A cos(ωt)

So, the amplitude of the SHM, A = 4.8 m

Angular frequency, ω = 15.1 s⁻¹

The maximum acceleration,

a(max) = -Aω²

the -ve sign indicates that the acceleration is acting towards the mean position.

a(max) = 4.8 x 15.1²

a(max) = 10.94 x 10² m/s²

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Answer:

if

Explanation:

weight is the force of gravity on a mass; the force of gravity is

F = G M m/r^2

F is grav force

G is the newtonian gravitational constant = 6.67 x 10^-11 Nm^2/kg^2

M=mass of the earth

m=mass of the object

r= radius of the earth

if the mass of the earth increases by a factor of 6, this will tend to increase the grav force by a factor of 6

if the radius increases by a factor of 5, this will change the grav force by a factor of 1/5^2 = 1/25

the total effect is 6/25 = 0.24; therefore, your weight would be 0.24 * 620N = 149N

b. We can Connect 3 cells in series to 3 lamps in parallel and place an ammeter on the circuit to measure the current through one of the lamps.

The image is attached.

c. In this  connection, we creates a series connection where the current flowing through each component is the same.

the two cells' positive and negative terminals must be connected in order to complete the circuit. As a result, a parallel connection is formed where the overall current capacity rises while the voltage across each cell stays the same.

The positive terminal of the first light would be connected to the negative terminal of the second lamp in order to link the two lamps and a motor in series. The second lamp's positive terminal would then be connected to one of the motor's terminals. Finally, you would attach the other motor terminal to the first lamp's negative terminal.

This establishes a series connection in which each component receives the same amount of current.

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Sort the mass m required to prevent the board from toppling over from largest to smallest. Overlap items to rank them equally. Disregard the board's bulk. Sort the mass m required to prevent the board from toppling over from largest to smallest. Sort the required mass to prevent the board from toppling over from largest.

What is torque?
When an engine exerts itself, torque, which is a twisting force, speaks to the rotational force of the engine and quantifies how much of twisting force is available. Everyday activities like turning a doorknob, opening a soda bottle, and use a wrench, or peddling a bicycle all involve torque.

Overlap items to rank them equally. Due to its angular momentum, the earth revolves around the sun. If the earth were to be stopped in its orbit and then allowed to fall directly toward the sun. I received a ton of information regarding the of the sun and earth from the questioner.

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Answer:

Strong base

Explanation:

A strong base usually has the pH of between 12 to 14

If the pH of a solution is 12.4, the substance is called a Strong base. Hence, option C is correct.

When a substance is dissolved in water, H⁺ hydrogen ions are formed. These substances are called Acids. H⁺ ions are positive ions and hence, they donate protons to other substances.

When a substance is dissolved in water, OH⁻ hydroxyl ions are formed. These substances are called Bases. OH⁻ ions are negative ions that are capable of accepting the protons/hydrogen ions.

Acids are substances having more hydrogen ions than hydroxyl ions and it has a sour taste. Bases are substances having more hydroxyl ions than hydrogen ions and it has a bitter taste.

The acids and bases are differentiated by using the pH scale. pH represents the potential of hydrogen which measures the hydrogen and hydroxyl ions. It is a negative logarithm of H⁺ ion concentration.

The pH scale ranges from 0-14. The neutral power in the pH scale is 7 and the water shows the neutral range. If pH shows less than 7 it is an acidic solution and litmus paper turns red.        

If pH shows greater than 7, it is a base or alkaline solution and the litmus paper turns blue.  Weak bases range from 7.3-10. Strong bases range from 10-14.  

Hence, the pH shows 12.4, which represents a strong base. Thus, the correct solution is C.  

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Answer:

I do I make a brinliest can you please can me

Answer:

the angle of incidence equals the angle of reflection

According to the law of reflection, the angle of incidence is equal to the angle of reflection.

What is Reflection ?

Reflection is the change of direction of the wave at the interface which separates two media. it get incident on the other media and get return to the same media is called as reflection. Common examples include the reflection of light, sound and water waves.

we can see that in the dark room when we incident light on the mirror, the direction of the light changes at the point of the incidence. in the scientific language we can say that light has reflected from the surface of the mirror. in this case  angle of incidence is always equal to angle of reflection. reflection is shown in the figure.

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Answer:

A hiker drops a heavy stone over a cliff and hear it strike the cliff base 2.8seconds after dropping it.

The final temperature of the mixture of 100g of water at 85ºC and 100g of ice at 0ºC  is c. 42.5ºC.

The final temperature of the water can be predicted using the principle of heat exchange. The heat lost by the water must be equal to the heat gained by the ice.

Let's denote the final temperature as T. We can set up the heat exchange equation:

Q_lost (by water) = Q_gained (by ice)

The specific heat capacity of water is 4.18 J/gºC, and for ice, it's 2.09 J/gºC. The heat of fusion for ice is 334 J/g.

Heat lost by water: mass_water x specific_heat_water x (initial_temperature_water - T)
Heat gained by ice: (mass_ice x specific_heat_ice x T) + (mass_ice x heat_of_fusion)

So, we have:

(100g x 4.18 J/gºC x (85ºC - T)) = (100g x 2.09 J/gºC x T) + (100g x 334 J/g)

After solving this equation, we get T ≈ 42.5ºC. Therefore, the correct answer is c. 42.5ºC.

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Answer:

atoms and molecules

Explanation:

as opposed to being continuous or just including particles). On the following page, the idea is stated as one of four concepts in Dalton's theory: “All matter is composed of tiny, indivisible particles called atoms”

Answer: atoms

Matter is made of atoms, the basic building blocks. Atoms are made of protons, neutrons and electrons. The answer is atoms.

Hope it helps!

Answer:

taco bell

Explanation:

Answer:

The answers to the questions are

1. Sound energy

2. Conductor

3. Flow

4. Thermal energy (g underlined)

5. Electric current

6. Insulator

7. Light energy

8. Electric circuit

The underlined letters are, e, n, g, r, y, e which can be rearranged to spell energy

Explanation:

1. Sound energy is the wave form of mechanical energy that is transferred by the vibration of the of the medium through which it propagates

2. An electrical conductor is used to conduct electricity from one point to another

3. An object or material flows when it has a smooth motion towards a given direction, such as a river

4. Thermal energy is the form of energy that is given off by a body as sensible heat that can be measured as a temperature by a thermometer

5. Electric current is the electricity in a circuit

6. An insulator is a material that limits the flow of electricity or heat

7. Light energy is the form electromagnetic energy which the eye can sense

8. An electric current flows an electric circuit which consist of a source of electricity and an path through which the electric current can easily flow.

During vegetative propagation, a new plant grows from parts of the parent plant.

During binary fission, a cell divides to produce a new genetically identical cell.

Asexual reproduction involves fission, budding, fragmentation, and parthenogenesis, whereas sexual reproduction is achieved by combining the germ cells of two individuals. The statement describing asexual reproduction is Offspring are born that have the same DNA as the parent.

Only one parent is needed to produce a child. Includes cell division similar to cell division in mitosis. Asexual reproduction is a form of reproduction in which the offspring produced are exactly like their parents. Also, there is no formation of two different gametes, nor the involvement of two different sexes. In unicellular organisms, mitosis is the mode of asexual reproduction.

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Given that, the density of bivalent metal is 9.304 g/cm³ and the molar mass is 87.5 g/mol.

We have to calculate (a) the number density of conduction electrons, (b) the Fermi energy, (c) the Fermi speed, and (d) the de Broglie wavelength corresponding to this electron speed.

Here are the solutions:

(a) Number density of conduction electrons: To calculate the number density of conduction electrons, we use the formula, n = (density of metal)/(molar mass of metal * Avogadro's number)

On substituting the values in the above equation, we get \(n = (9.304 g/cm³)/(87.5 g/mol * 6.022 × 10²³/mol)n = 1.408 × 10²³/cm³\)

(b) Fermi energy : The Fermi energy can be calculated using the formula,\(E = h²/8m (3π²n)²/³\)

On substituting the values in the above equation, we get\(E = (6.626 × 10⁻³⁴ J s)²/(8 * 9.109 × 10⁻³¹ kg) (3π² * 1.408 × 10²³/cm³)²/³\)

\(E = 1.15 × 10⁻¹⁸ J\)

(c) Fermi speed:The Fermi speed can be calculated using the formula, E = 1.15 × 10⁻¹⁸ J

On substituting the values in the above equation, we get\(v = [(2 * 1.15 × 10⁻¹⁸ J)/(9.109 × 10⁻³¹ kg)]½v = 1.62 × 10⁶ m/s\)

(d) de Broglie wavelength : The de Broglie wavelength can be calculated using the formula, λ = h/pwhere p = mvOn substituting the values in the above equation, we get \(p = (9.109 × 10⁻³¹ kg)(1.62 × 10⁶ m/s)p = 1.47 × 10⁻²⁴ kg\)\(m/sλ = (6.626 × 10⁻³⁴ J s)/(1.47 × 10⁻²⁴ kg m/s)λ = 4.51 × 10⁻¹⁰ m\)

Hence, the number density of conduction electrons is 1.408 × 10²³/cm³, the Fermi energy is 1.15 × 10⁻¹⁸ J, the Fermi speed is 1.62 × 10⁶ m/s and the de Broglie wavelength corresponding to this electron speed is 4.51 × 10⁻¹⁰ m.

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Answer:

It is because gasses, liquids, and plasma are always changing shape they are named and classified as ‘fluid’.

Answer:

y(x, t) = A Sin(ωt ± kx)

Explanation:

Waves can be classifies as either stationary (standing), or progressive (travelling). A progressive wave is one the is a traveling wave, transferring energy along its path. While a stationary wave seems not to be moving.

The general equation for a progressive wave is;

y(x, t) = A Sin(ωt ± kx)

Where: A is its amplitude, t is the time, k is the wave number.

When the wave travels in the positive x-axis direction, the equation changes to;

y(x, t) = A Sin(ωt - kx)

When it travels in the negative x- axis direction, the equation becomes;

y(x, t) = A Sin(ωt + kx)

NB: ω = 2\(\pi\)f and k = 2\(\pi\)/λ.

Answer:

the moon has different gravitational force.

Answer:

Our weight on moon is less than it would be on Earth due to a difference of the strength of gravity on the moon. The moon's gravitation force is determined by the mass and the size of the moon. ... This means that if you went to the moon you would weigh less, even though your mass stays the same!

Explanation:

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The velocity of the ball = 18.84 rad/sec

The centripetal acceleration of the ball = 236.63 m/s²

The centripetal force of the ball = 118.32 N

The mass of the ball = 0.5 kg

The length of the string = 1.5

The time taken = 60 s

The number of rotations = 120

The velocity of the ball can be found using the formula,

              ω = θ / t

where ω is the angular velocity

           θ is the angular rotation

           t is the time taken

Let us substitute the known values in the above equation, we get

               ω = (120 x 2 x 3.14 x 1.5 ) / 60

                    = 1,130.4 / 60

                    = 18.84 radians/sec

The formula for centripetal acceleration is

                α = ω² / r

                    = 18.84² / 1.5

                    = 345.95 / 1.5

                    = 236.63 m / s²

The centripetal force is

              F = mω² / r

                 = 0.5 x 236.63

                 = 118.32 N

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It's likely that the "Blast Off" section will cover a topic connected to space travel, rocket launches, or other space-related activities using a lot of force or energy.

. The description supplied in the choices does not seem to align with the subheading "Blast Off"

That is accurate, indeed. The headline "Blast Off" implies that the part may be connected to space exploration or rocket launches, as was previously suggested, yet the alternatives offered do not seem to fit this theme.

It's also likely that the title "Blast Off" was used more metaphorically than in reference to rocket launches or space travel.

Catchy and attention-grabbing language is frequently used in headlines to persuade people to click and read the story. Instead than implying a direct relationship to space in this instance, "Blast Off" might be used to express excitement or intensity around a specific event or issue.

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The time it takes for the particle to acquire its final velocity of 2v in the positive y direction if the magnitude of the net force acting on a particle is t = (2v - 0)/(F/m) = (2mv)/F.

We can use the equation F = ma, where F is the net force, m is the mass, and a is the acceleration, to find the acceleration of the particle. Once we know the acceleration, we can use the kinematic equation v = u + at, where v is the final velocity, u is the initial velocity (which is assumed to be 0), a is the acceleration, and t is the time, to find the time it takes for the particle to reach its final velocity.

So, the time it takes for the particle to acquire its final velocity of 2v in the positive y direction is t = (2v - 0)/a, where a = F/m. Therefore, the time it takes is t = (2v - 0)/(F/m) = (2mv)/F.

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Answer:

7.35..kg

Explanation:

Hope this will help you

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Answer:

Your vehicle's tires work hard every time you go on the road. As they age, they become more and more worn down, especially if you use the same set of tires year round. As a result, your tires will need to be replaced. ... If you are driving on a dirt road, or one that is worn, chances are you will feel vibrations.

B. AC. It can be converted easily to high voltages.

Alternating Current (AC) is a type of electric current that periodically reverses direction. Unlike Direct Current (DC), which flows in a single, constant direction, AC voltage oscillates in a sinusoidal wave pattern, changing direction and magnitude over time. AC is commonly used in the generation, transmission, and distribution of electric power and is the most widely used form of electric power in the world.

The main advantage of AC over DC is that it can be easily transformed into high voltages, allowing for more efficient transmission of power over long distances. AC is also better suited for use in devices that use transformers, such as electric motors, since the direction of the current can be changed without the use of mechanical components.

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The equation =c/f relates wavelength and frequency. There is an inverse relationship between wavelength and frequency.

One crucial equation connects them all: The speed of light is equal to the frequency times the wavelength of any electromagnetic wave. If we know the other measurement, we can use this connection to calculate the wavelength and frequency of the any electromagnetic wave.

The distance between the crests of two waves is known as the wavelength, which also applies to troughs. The number of vibrations that pass across a certain area in a second is the frequency, which is expressed in seconds per cycle (Hz) (Hertz). This article discusses how wavelength and frequency relate to one another.

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Answer:

I honestly think both of them are true

Answer:

Heat has shorter wavelengths than visible light.

Explanation:

(I had the same question)

I looked up the first one and it was wrong, and the missing options are incorrect. So It would not be all of the above. So, using process of elimination,  "Heat has shorter wavelengths than visible light" is correct.

I PROMISE this is correct

A large 3.00x10^4 L aquarium is supported by four wood posts (Douglas fir) at the corners. Each post has a square 5.40 cm x 5.40 cm cross section and is 60.0 cm tall. Each post is compressed by 2.08 mm due to the weight of the aquarium.

Calculate the cross-sectional area of each post:

Area = (side length)²

Area = (5.40 cm)²

Area = 29.16 cm²

Convert the area to square meters:

Area = (29.16 cm²) * (1 m² / 10,000 cm²)

Area = 0.002916 m²

Calculate the volume of each post:

Volume = Area * Height

Volume = 0.002916 m² * 0.60 m

Volume = 0.00175 m³

Convert the volume to liters:

Volume = 0.00175 m³ * (1,000 L / 1 m³)

Volume = 1.75 L

Calculate the weight of the aquarium:

Weight = Volume * Density of water

Density of water = 1,000 kg/m³

Weight = 1.75 L * (1 m³ / 1,000 L) * 1,000 kg/m³

Weight = 1.75 kg

Calculate the compression of each post:

Compression = Weight / (Area * Modulus of Elasticity)

Modulus of Elasticity for Douglas fir wood = 12 GPa = 12 x 10⁹ Pa

Area = 0.002916 m²

Compression = 1.75 kg / (0.002916 m² * 12 x 10⁹ Pa)

Compression = 5.86 x 10^(-6) m = 2.08 mm

Therefore, each post is compressed by 2.08 mm due to the weight of the aquarium.

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Answer:

Explanation:

The north direction is towards the positive y direction on the coordinates axis and the south is towards the negative direction of the coordinate axis.

If a duck flies at 15 m/s due south against a gust of wind, then the duck velocity will be -15m/s

If the wind is blowing at 5 m/s due north, the velocity of the wind will be +5m/s

The resultant velocity of the duck will be the sum of the velocity along the y - component = -15 + 5 = -10m/s

Hence the resultant velocity of the dock is -10m/s

I don't have a housekeeper or live in any particular location. I also don't have the ability to become a superstar or live in any particular neighborhood. However, I can suggest that success and living well come from hard work, determination, and making wise choices.

It's essential to set goals and work towards achieving them, be disciplined in managing finances, and surround oneself with positive influences. As for having a housekeeper, it's a personal choice that some people make to help manage their household. In summary, success and living well come from personal choices and effort, not just from external factors like having a housekeeper or living in a particular neighborhood.

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