Sara is working on making her house more eco-friendly. She has a number of upgrades she wants to make such as replacing her toilet that uses 5 gallons per flush with a new toilet that uses 1.2 gallons per flush. She also wants to replace a leaky faucet in her kitchen. Finally, she would like to replace her old washing machine which uses 35 gallons of water per load with a new high-efficiency model that only uses 10 gallons per load.

Which item should Sara replace first and why? Support your answer with evidence and reasoning. (4 points)

Answer:

m = 300668.9 kg

L₀ = 12.47 m

Explanation:

The relativistic mass of the space vehicle is given by the following formula:

\(m = \frac{m_{0}}{\sqrt{1-\frac{v^{2} }{c^{2}} } }\)

where,

m = relativistic mass = ?

m₀ = rest mass = 150000 kg

v = relative speed = 2.6 x 10⁸ m/s

c = speed of light = 3 x 10⁸ m/s

Therefore

\(m = \frac{150000kg}{\sqrt{1-\frac{(2.6 x 10^{8}m/s)^{2} }{(3 x 10^{8}m/s)^{2}} } }\)

m = 300668.9 kg

Now, for rest length of vehicle:

L = L₀√(1 - v²/c²)

where,

L = Relative Length of Vehicle = 25 m

L₀ = Rest Length of Vehicle = ?

Therefore,

25 m = L₀√[1 - (2.6 x 10⁸ m/s)²/(3 x 10⁸ m/s)²]

L₀ = (25 m)(0.499)

L₀ = 12.47 m

Explanation:

Weight =mass x force of gravity

Weight = 85kg x 9.8m/s²

Weight = 833N

Answer:

Your correct i did the work on my paper and got the same answer

The car is moving at approximately 12.5 meters per second.

The kinetic energy (KE) of an object can be calculated using the formula:

KE = 1/2 * m * \(v^2\)

where

KE = kinetic energy,

m =Mass of the object, and

v = velocity.

In this case, we are given the mass (m) of the car as 1600 kg and the kinetic energy (KE) as 125,000 J. To find the velocity .

Substituting the  values , we have:

125,000 J = 1/2 * 1600 kg *\(v^2\)

Now, we can solve for v by rearranging the equation:

\(v^2\) = (2 * 125,000 J) / 1600 kg

\(v^2\) = 156.25 \(m^2/s^2\)

Taking the square root, we find:

v = √156.25\(m^2/s^2\)

v ≈ 12.5 m/s

Therefore, the car is moving at approximately 12.5 meters per second.

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The minimum velocity for the meteorite before entrance into earth's atmosphere is 36.8 m/s.

To calculate the minimum velocity the meteorite must have had before it entered Earth's atmosphere, the equation for heat transfer is:

Q = mcΔT

Where Q = the heat transferred,

m = the mass of the meteorite,

c = the specific heat capacity of iron, and

ΔT = the change in temperature.

The specific heat capacity of iron is approximately = 0.45 J/g°C.

Temperature of the meteorite changes from -105°C to the melting point of iron, which is approximately = 1535°C.

So: Q = mc(1535 - (-105))

Mass of the meteorite unknown, but we know it is made of iron, so assume a value for the mass, such as 100 g.

Q = 100 x 0.45(1535 - (-105))

Solving for Q:

Q = 67875 J

To calculate the kinetic energy of the meteorite, which is given by the equation: Ek = 1/2mv²

where Ek is kinetic energy,

m = the mass of the meteorite and

v = the velocity of the meteorite.

Therefore, the velocity of the meteorite is given by the following equation: v = √(2Ek/m)

Substituting the values of Ek and m, we get

v = √(2 x 67875/100)

Solving for v:

v = √1357.5

The minimum velocity the meteorite must have had before it entered Earth's atmosphere is approximately 36.8 m/s.

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Answer:

29.4 kW

Explanation:

time t = 10 s, height h = 30 m, mass m = 1,000 kg

power output = work done/time

work done = increase in potential energy = mgh = 1,000 * 9.8 * 30 = 294,000 J = 294 kJ

power output = 294/10 = 29.4 kW

"Kinetic" energy is the energy of motion.

The ball in the glove is not moving. It's just laying there. (B)

So it has no kinetic energy.

All the other choices describe something moving, so they all have some.

Explanation:

There are two forces on the woman: weight force pulling down, and normal force pushing up. The scale reading is the normal force.

Use Newton's second law.

∑F = ma

N − mg = ma

Solve for N.

N = mg + ma

N = m (g + a)

(a) a = +3.65 m/s²

N = (45 kg) (9.8 m/s² + 3.65 m/s²)

N = 605.25 N

(b) a = -3.65 m/s²

N = (45 kg) (9.8 m/s² − 3.65 m/s²)

N = 276.75 N

(a)A 45kg woman stands on a spring scale inside an elevator. The scale reading when the elevator accelerates upward at 3.65m/s² is 605.25N.

(b) A 45kg woman stands on a spring scale inside an elevator, the scale  reading when it accelerates downward at 3.65m/s² it is 276.75N.

When a 45kg woman stands on a spring scale inside an elevator, the scale measures the force with which it pushes upward on the woman, which is equal to her weight. The weight of an object can be calculated using the formula weight = mass × acceleration due to gravity (W = m × g), where the acceleration due to gravity is approximately 9.8m/s².

(a) When the elevator accelerates upward at 3.65m/s², the net force acting on the woman is the sum of her weight and the force due to acceleration. The scale reading will be the magnitude of this net force. Using Newton's second law (F = m × a), the net force can be calculated as F = m × (g + a). Substituting the given values, we have

F = 45kg × (9.8m/s² + 3.65m/s²) = 45kg × 13.45m/s² = 605.25N.

(b) When the elevator accelerates downward at 3.65m/s², the net force acting on the woman is her weight minus the force due to acceleration. Applying the same formula, we have

F = 45kg × (9.8m/s² - 3.65m/s²) = 45kg × 6.15m/s² = 276.75N.

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The wavelength of the sound is 2.6 x 10⁻³ m.

The wavelength of the sound or distance travelled by the sound wave is calculated by applying the following formula.

v = fλ

λ = v / f

where;

The wavelength of the sound is calculated as follows;

λ = v / f

λ = ( 343 m/s ) / ( 134,000 Hz )

λ = 2.6 x 10⁻³ m

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Answer:

Ein: 2.75*10^-3 N/C

Explanation:

The induced electric field can be calculated by using the following path integral:

\(\int E_{in} dl=-\frac{\Phi_B}{dt}\)

Where:

dl: diferencial of circumference of the ring

circumference of the ring = 2πr = 2π(5.00/2)=15.70cm = 0.157 m

ФB: magnetic flux = AB (A: area of the loop = πr^2 = 1.96*10^-3 m^2)

The electric field is always parallel to the dl vector. Then you have:

\(E_{in}\int dl=E_{in}(2\pi r)=E_{in}(0.157m)\)

Next, you take into account that the area of the ring is constant and that dB/dt = - 0.220T/s. Thus, you obtain:

\(E_{in}(0.157m)=-A\frac{dB}{dt}=-(1.96*10^{-3}m^2)(-0.220T/s)=4.31*10^{-4}m^2T/s\\\\E_{in}=\frac{4.31*10^{-4}m^2T/s}{0.157m}=2.75*10^{-3}\frac{N}{C}\)

hence, the induced electric field is 2.75*10^-3 N/C

Answer:

Options A. and D. are correct.

Explanation:

The water cycle shows the continuous movement of water within the Earth and atmosphere.

The two benefits of scientists using a diagram to model the water cycle are as follows:

It can be used to show how the parts of the cycle relate to one  another.

It can show changes that occur in many different parts of Earth at  the same time.

Options A. and D. are correct.

Answer:

The acceleration is 2.448 meters per square second and is vertically upward.

Explanation:

The Free Body Diagram of the plastic ball in the liquid is presented in the image attached below. By Second Newton's Law, we know that forces acting on the plastic ball is:

\(\Sigma F = F - m\cdot g = m\cdot a\) (1)

Where:

\(F\) - Buoyant force, measured in newtons.

\(m\) - Mass of the plastic ball, measured in kilograms.

\(g\) - Gravitational acceleration, measured in meters per square second.

\(a\) - Net acceleration, measured in meters per square second.

If we know that \(F = 5\,N\), \(m = 0.408\,kg\) and \(g = 9.807\,\frac{m}{s^{2}}\), then the net acceleration of the plastic ball is:

\(a = \frac{F}{m} - g\)

\(a= 2.448\,\frac{m}{s^{2}}\)

The acceleration is 2.448 meters per square second and is vertically upward.

Answer:

Ionic charges refer to the electrical charges of ions, which are atoms or molecules that have gained or lost electrons. These charges result from the loss or gain of electrons during chemical reactions.

When an atom loses one or more electrons, it becomes a positively charged ion known as a cation. The cation carries a positive charge equal to the number of electrons lost.

Conversely, when an atom gains one or more electrons, it becomes a negatively charged ion known as an anion. The anion carries a negative charge equal to the number of electrons gained.

The magnitude of the ionic charge depends on the number of electrons gained or lost, which is determined by the element's position in the periodic table and its electron configuration. For example, sodium (Na) loses one electron to become a +1 charged cation (Na+), while chlorine (Cl) gains one electron to become a -1 charged anion (Cl-).

Explanation: ΔL = τ(average) * Δt
Change in angular momentum = average torque * change in time

solve for average torque for each objects
τ(average) = ΔL / Δt

Object y average torque
τy = ΔLy / Δt = 20 / 5 = 4
τy = 4

Object x average torque
τx = ΔLx / Δt = 10 / 5 = 2
τx = 2

Relates τy and τx
2τx = τy

Two objects, X and Y, experience external net torques that vary over a period of 5 seconds. Object X has a moment of inertia I0, and Object Y has a moment of inertia 2I0. The average value of the magnitude of the external net torque exerted on Object X from time t=0 to t=5s is torquex. Similarly, the average value for ObjectY is torquey.

The magnitudes of the angular momenta L of Objects X and Y versus t are shown in the graph. The precise relation between torquey and torquex is torquey = 2 * torquex.

To relate torquey to torquex, we are able to use the concept of angular momentum and torque. Angular momentum is described because the manufactured from the moment of inertia and angular velocity:

L = I * ω

Differentiating this equation with an appreciation of time, we get:

dL/dt = d(I * ω)/dt

Using the product rule of differentiation, we've got:

dL/dt = I * dω/dt + ω * dI/dt

Now, we realize that torque (τ) is described because of the charge of the exchange of angular momentum:

τ = dL/dt

Substituting the expression for dL/dt in terms of angular velocity and second of inertia:

τ = I * dω/dt + ω * dI/dt

Let's denote the common price of torque for item X as torquex. Since object X has a moment of inertia I0, we can write:

torquex = I0 * dω/dt + ω * dI0/dt

Now, let's consider item Y. It has a moment of inertia 2I0. Using the identical expression, we will write:

torquey = (2I0) * dω/dt + ω * d(2I0)/dt

torquey = 2I0 * dω/dt + ω * (2 * dI0/dt)

torquey = 2I0 * dω/dt + 2ω * dI0/dt

Comparing the expressions for torquex and torquey, we will see that:

torquey = 2 * torquex

Therefore, the precise relation between torquey and torquex is;

torquey = 2 * torquex.

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The correct question is;

"Two objects, X and Y, experience external net torques that vary over a period of 5 seconds. Object X has a moment of inertia I0, and Object Y has a moment of inertia 2I0. The average value of the magnitude of the external net torque exerted on Object X from time t=0 to t=5s is torquex. Similarly, the average value for ObjectY is torquey. The magnitudes of the angular momenta L of Objects X and Y versus t are shown in the graph. Which of the following expressions correctly relates torquey to torquex?"

According to research, development is always towards complexity.

The term research has to do with the process that we have to go through to obtain new knowledge or to confirm a piece of information. Let us say that we have some disconnected pieces of evidence that tend to point towards a particular fact, we would need to use the process of research to establish the truth in the research.

Now we can see that there is a movement towards the complexity of organisms at each particular level in the developmental process. We can then conclude that according to research, development is always towards complexity.

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Answer:

287.46 billion km. (kilometers)

Answer:

very Very very Very Very very very Very very very large.

a) The magnitude of the net force is = 15.610 N

b). The angle of the net force relative to the positive direction of the x axis is -147.48°

c) the particle's direction of travel at t = 1.8 s is at an angle of -128.08° relative to the positive direction of the x axis.

To find the net force on the particle, we need to compute the particle's acceleration at t = 1.8 s and then use Newton's second law, F = ma, to calculate the net force.

The particle's position at t = 1.8 s is:

x(1.8) = -16 + 1(1.8) - 3(1.8)^3 = -53.8848 m

y(1.8) = 22 + 3(1.8) - 10(1.8)^2 = -3.24 m

To find the velocity and acceleration vectors, we need to differentiate the position equations with respect to time:

vx(t) = dx/dt = 1 - 9t^2

vy(t) = dy/dt = 3 - 20t

ax(t) = d^2x/dt^2 = -18t

ay(t) = d^2y/dt^2 = -20

At t = 1.8 s, we have:

vx(1.8) = 1 - 9(1.8)^2 = -28.52 m/s

vy(1.8) = 3 - 20(1.8) = -33.6 m/s

ax(1.8) = -18(1.8) = -32.4 m/s^2

ay(1.8) = -20 m/s^2

The net force on the particle is given by:

Fnet = ma = m(ax i + ay j) = (0.41 kg)(-32.4 i - 20 j) = (-13.284 kg m/s^2 i - 8.2 kg m/s^2 j)

The magnitude of the net force is:

|Fnet| = √[(-13.284)^2 + (-8.2)^2]

= 15.610 N

The angle of the net force relative to the positive direction of the x axis is:

theta = atan2(-8.2, -13.284)

= -147.48°

Note that we use atan2 to get the correct quadrant for the angle.

v = vx i + vy j = (-28.52 i - 33.6 j)

The angle of the velocity vector relative to the positive direction of the x axis is:

theta_v = atan2(-33.6, -28.52) = -128.08°

Therefore, the particle's direction of travel at t = 1.8 s is at an angle of -128.08° relative to the positive direction of the x axis.

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Answer:

positive direction o

Explanation:

Answer:

The best answer seems to be B because there is a strong positive correlation that the more exercise a person does, the fewer medical problems they have

Explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

The more exercise a person takes the fewer medical problems they report. This is an example of a positive correlation. The correct option is B.

When two variables rise or decrease simultaneously, there is a positive correlation; when there is a negative correlation, one variable increases as the other falls.

When two variables behave in unison, rising or falling in lockstep with one another, there is a positive correlation.

When two variables move in opposition to one another—that is, when one rises, the other falls—this is known as a negative correlation.

A person reports fewer medical issues the more activity they get. An illustration of a positive correlation would be this.

Thus, the correct option is B.

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Answer:

50km

cuz he ran so fast in 100 seconds

Answer:

Since impedance = omega * L we can use the equation for resistance:

20 + 12 + 10 in parallel with 7 we have

J1 = 42 * 7 / 49 = 6 H for the combination on the right

4 H + 6 H + 8 H = 18 H for the entire combination

Draw a diagram to visualize the situation:

Notice that the vertical component of the velocity can be found using the sine trigonometric function:

Substitute v=133.3m/s to find the vertical component of the velocity:

Use the formula v=d/t to find the time that it takes for the plane to descend 500m. Isolate t:

Then, the vertical component of the velocity is 4.65m/s (downwards) and it takes 107.5s to descend 500m.

Answer:

Water.

Explanation:

To know which of the substance that will absorbed the greatest amount of thermal energy, we'll simply determine the amount of energy absorbed by each substance.

This is illustrated below:

For Air:

Mass (M) = 1 kg

Change in temperature (ΔT) = 15 °C

Specific heat capacity (C) = 1.01 KJ/Kg°C

Heat Absorbed (Q) =..?

Q = MCΔT

Q = 1 x 1.01 x 15

Q = 15.15 KJ

Therefore, the heat absorbed by air is 15.15 KJ.

For Plastic:

Mass (M) = 1 kg

Change in temperature (ΔT) = 15 °C

Specific heat capacity (C) = 2.60 KJ/Kg°C

Heat Absorbed (Q) =..?

Q = MCΔT

Q = 1 x 2.60 x 15

Q = 39 KJ

Therefore, the heat absorbed by plastic is 39 KJ.

For Water:

Mass (M) = 1 kg

Change in temperature (ΔT) = 15 °C

Specific heat capacity (C) = 4.18 KJ/Kg°C

Heat Absorbed (Q) =..?

Q = MCΔT

Q = 1 x 4.18 x 15

Q = 62.7 KJ

Therefore, the heat absorbed by water is 62.7 KJ.

For Wood:

Mass (M) = 1 kg

Change in temperature (ΔT) = 15 °C

Specific heat capacity (C) = 1.68 KJ/Kg°C

Heat Absorbed (Q) =..?

Q = MCΔT

Q = 1 x 1.68 x 15

Q = 25.2 KJ

Therefore, the heat absorbed by Wood is 25.2 KJ.

Summary:

Substance >>>>> Heat Absorbed

Air >>>>>>>>>>>> 15.15 KJ.

Plastic >>>>>>>>> 39 KJ

Water >>>>>>>>>> 62.7 KJ

Wood >>>>>>>>>> 25.2 KJ.

From the above calculations, we can see that water will absorb the greatest amount of thermal energy.

The conductivity of a conductor refers to its ability to conduct electrical current.

A material that has high conductivity allows electrical charges to flow through it easily and with little resistance, while a material with low conductivity does not allow electrical charges to flow as easily and has more resistance.

The conductivity of a conductor is determined by the number of free electrons in the material, as well as how easily these electrons can move through the material.

In a conductor, the atoms are closely packed together and the electrons are not tightly bound to the atoms, allowing them to move freely through the material and carry an electrical charge. This facilitates the flow of electrical current through the material, resulting in high conductivity.

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Answer:

student 1 is right and student 2 is wrong

Explanation:

In the graph that the two students are observing is a graph of energy and frequency vs. wavelength, this graph is constructed using the relationship between a wave and its wavelength and frequency.

          c = λ f

therefore for all waves we have the speed salami.

Therefore student 1 is right and student 2 is wrong

The angle of incidence = 35°.

The normal divides the angle between the incident and reflected rays into two equal angles. The angle between the incident ray and the normal is called the angle of incidence. The angle between the reflected ray and the normal is called the reflection angle. When a ray of light approaches a smooth and polished surface and bounces off it, it is called a light reflection.

An incident ray striking a surface is reflected by the surface. A reflected ray is called a reflected ray. The difference between light reflection and refraction is simple. In reflection, a ray hitting a plane returns to its original source/medium as the wave bounces off the surface. However, when refracted, the wave passes through the surface, changing its speed and direction.

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Answer:

35 m

0.56 m/s west

Explanation:

A) Total distance is the length of the path taken.

30 m + 5 m = 35 m

B) Velocity is displacement over time.  Displacement is the difference between the final position and the initial position.

If west is -x, and east is +x, then:

Δx = -30 m + 5 m

Δx = -25 m

v = Δx / t

v = -25 m / 45 s

v = -0.56 m/s

v = 0.56 m/s west

The total distance travelled = 35 m and average velocity = 0.55 \(m/s^{2}\)

We have a man who walked 30 m to the west than 5 m to the east in 45 seconds.

We have to find out his total distance walked and his average velocity?

The average velocity is defined as the rate of change of displacement per unit time.

\(v_{avg} = \frac{x_{2} -x_{1} }{t_{2} -t_{1} }\)

According to the question -

A). The total distance travelled will be equal to = \(X_{W} +X_{E}\) = 30 + 5 = 35m

Since, the distance travelled is a scalar quantity, we have used simple addition method.

B). In order to calculate the average velocity, first we will calculate the displacement -

Consider the direction to the west as the + x axis, then -

displacement = \(30\overrightarrow{a_{x} } - 5\overrightarrow{a_{x} } = 25\overrightarrow{a_{x} }\)

Magnitude of displacement = 25 x | \(\overrightarrow{a_{x} }\)| = 25 x 1 = 25 m

\(v_{avg} = \frac{25}{45 } = 0.55\) \(m/s^{2}\)

Hence, the total distance travelled = 35 m and average velocity = 0.55\(m/s^{2}\)

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A procedure known as magnetic separation can be used to extract magnetic elements from coal.

This method makes use of the magnetic characteristics of some materials to distinguish them from non-magnetic materials like coal. A description of how magnetic separation can be used to remove magnetic components from coal is given below:

Putting a magnetic field around the coal and magnetic material mixture is the first step in the magnetization process. This can be achieved by creating an electromagnetic field or by putting the mixture close to a powerful magnet.

Magnetism: Magnetic materials, such as iron atoms or magnetite that are frequently found in coal, will be drawn to the magnetic field and become magnetized. They line up their magnetic moments with the magnetic field's direction.

Separation: The magnetic coal components can be physically separated from the non-magnetic coal once they have been magnetized. To create this separation, there are numerous techniques:

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