A constriction in a pipe reduces its diameter from 4.0 cm to 2.0 cm. where the pipe is narrow the water speed is 8.0 m/s. where it is wide the water speed is:_______
a. 2.0 m/s
b. 4.0 m/s
c. 8.0 m/s
d. 16 m/s
e. 32 m/s

Answers

Answer 1

Option a) 2.0m/s

So, where it is wide, speed is 2 m/s

Calculation

According to equation of continuity

A1V1 =A2V2

A1= [tex]\pi[/tex][tex](2*10^{-2}) ^{2}[/tex]

A2 = [tex]\pi (1*10^{-2}) ^{2}[/tex]

V2 = 8m/s

solving by the equation, we have

v1 = 2 m/s

Equation of continuity

An equation that describes the movement of a certain amount is known as a continuity equation or transport equation. It can be generalized to apply to any substantial quantity, but it is especially straightforward and effective when applied to conserved quantities.

Since mass, energy, momentum, electric charge, and other natural quantities all remain constant under the proper circumstances, continuity equations can be used to explain a wide range of physical events.

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Related Questions

grandfather clocks are decorative clocks with a pendulum measuring out the passing of a second. how long of a pendulum is needed to have a period of 1 second?

Answers

The length of a pendulum needed to have a period of 1 second is 0.24 meters or 24 centimeters.

A pendulum represents Simple Harmonic Motion,

The formula for the time period of a pendulum is

T = 2π √l/√g

Where l is the length of the pendulum and g is the acceleration due to gravity on Earth.

We are given that a pendulum has a period of 1 second

So,

1= 2π √l/√g

Squaring both sides

1 = 4π^2√ l/√g

l = g/ 4 π^2

l = 0.24 m

Hence, the length of a pendulum needed to have a period of 1 second is 0.24 meters or 24 centimeters.

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a cannon is fired from the ground at an angle of 27.0° from the horizontal with an initial velocity of 56.0 m/s.

Answers

The cannon in projectile motion has a maximum range of: 258.88 m, and a maximum height of: 32.096 m

The formulas for projectile motion that we will use to solve this exercise are:

x max = (vi² * sin 2*θ) /g    h max = [vi² * (sinθ)²] / (2*g)

Where:

h max = maximum heightx max = maximum rangeg = gravityvi = initial velocity

Information about the problem:

vi = 56.0 m/sθ= 27.0ºg = 9.8 m/s².x max = ?h max = ?

Applying the maximum range formula we get:

x max = (vi² * sen 2*θ) /g

x max = {(56.0 m/s)² * (sen 2*27.0)} / 9.8 m/s²

x max = 258.88 m

Applying the maximum height formula we have:

h max = (vi² * (senθ)²) / (2*g)

h max = [(56.0 m/s)² * (sin 27.0º)²] / (2 * 9.8 m/s²)

h max = 32.096 m

What is projectile motion?

The projectile motion is the motion whose trajectory describes a parabola having a horizontal and a vertical component of motion.

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An ant crawls along 24 inches of a picnic blanket at a constant speed for 6 seconds. it stops when it finds a strawberry and investigates.

Answers

The result is 30 feet after multiplying 1.25 feet by 24 minutes.by the ant.

the length or width between two objects, points, lines, etc. remoteness is the state or fact of something or someone being physically distant from another. a straight line in space It would take too long to walk seven miles in one hour. x feet times 10 feet

8 minutes, 24 minutes

Cross multiplying results in (10 * 24 = 8x), which leads to 240 = 8x.

30 = x, hence the ant will move 30 feet in 24 minutes.

Flow rate:

1-foot Equals 1.25 feet, 8 minutes, and 1 second

The result is 30 feet after multiplying 1.25 feet by 24 minutes.

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In complete sentences please

Answers

We have enough information to deduce what the chart is about.

What is the chart about?

A bar chart is one of the means that we can use to present data. It has the advantage that it can be used for comparison. We can use it to show the influence of different factor levels on one variable.

Now the graph is about the use of social media among teenagers in the united states. It is obvious from the graph that we can see the percentage of teenagers that report that they use a particular social media and those who report it as their most used.

Looking at the chart, we can see clearly that the x axis has to do with different kinds of social media and the vertical y axis has to do with the percentage of the people that use the social media. Thus, we can see the information about the chart clearly.

Hence, we have enough information to deduce what the chart is about.

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A junction diode is operated in a circuit in which it is supplied with a constant current. What is the effect on the forward voltage of the diode if an identical diode is connected in parallel?

Answers

Answer:

The forward voltage is decreased by 17.31 MV if an identical diode is connected in parallel and the junction diode is operated in a circuit in which it is supplied with a constant current.

Explanation:

There are two instances to consider in this question;

Instance 1: when a single diode is supplied with a constant current II as shown below in (a). We assume that I1 = I which generates a forward voltage V1 across this diode.

Instance 2: when an identical diode is connected in parallel with the previous diode as shown below in (b). In this case the current flowing through each of them is I2 = I/2 and this current generates a forward voltage V2 across each of the two diodes.

V2 - V1 = 2.303 Vt log (I2/I1)

V2 = V1 + 2.303 Vt log (I2/I1)

V2 = V1 + 2.303 * 25 MV * log (I/2/I)

V2 = V1 + 2.303 *25 MV * log (1/2)

V2 = V1 -17.31 MV

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A bar magnet is moved through a conducting coil with 50 turns. the rate of change of magnetic flux is 0.03 wb/s. what is the emf induced in the coil?

Answers

The EMF induced in coil of the bar magnet  with respect to change in flux is calculated as  - 1.5 v

Given:

N= 50 turns

change in flux= 0.03 wb/s

emf= - N×[tex]\frac{d}{dt}[/tex]Ф

=  - 50×0.03

=  - 1.5 v

What is emf in Faraday's law?

Faraday's law describes the magnitude of the voltage (emf), or voltage, induced (generated) during a conductor due to electromagnetic induction (changing magnetic fields). It states that the induced emf during a conducting circuit is proportional to the rate of change of magnetic flux linkage Φ within the circuit.

What is EMF ?

Electromotive force (EMF) is equal to the terminal potential difference when no current flows. EMF and terminal electric potential (V) are both measured in volts, however they're not the same thing. EMF (ϵ) is that the amount of energy (E) provided by the battery to each coulomb of charge (Q) passing through'

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if the electric field is suddenly turned off, what is the speed of the sphere at the bottom of its swing (in m/s)?

Answers

The speed of the sphere at the bottom of the swing is 2.182 m/s if the electric field is turned off.

What is Law conservation of Mechanical energy?

The sum of the Kinetic energy and the potential energy is known as the total Mechanical Energy.

[tex]U_f +K_f=U_i+K_i[/tex]

Where, [tex]U_{f}[/tex] and [tex]K_{f}[/tex] are final potential energy and kinetic energy respectively.

[tex]U_{i}[/tex] and [tex]K_{i}[/tex] are initial potential energy and kinetic energy respectively.

The total Mechanical energy of the system remains constant if the internal forces are conservative and the external forces do no work. This is called the Principle of conservation of energy.

The length of the string L = 2.3

As the electric field is turned off, then it just behaves like a simple pendulum.

Hence, using the Conservation of mechanical energy, in the pendulum, at the bottom the total energy is conserved and the kinetic energy and mechanical energy are equal.

Let the mass of the sphere be m and the velocity of the sphere be v,

Kinetic energy (K) = 1/2 mv²

Potential energy(P) = mgL

g = 9.8 m/s²

Equating both the energies,

K = P

1/2 mv² = mgL

v² = 2gL

v=[tex]\sqrt{2gL}[/tex]

[tex]v=\sqrt{2\times9.8\times24\times10^{-3}}[/tex]

v = 2.182m/s

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Human hox genes are in four clusters: hoxa, hoxb, hoxc, and hoxd, for a total of 39 genes. besides conserving the clustering of genes, evolution has also conserved ________.

Answers

Human hox genes are in four clusters: HOXA, HOXB, HOXC, and HOXD for a total of 39 genes. besides conserving the clustering of genes, evolution has also conserved the order of genes within them.

What is a gene?

A gene is the basic physical and functional unit of heredity. Genes are made up of DNA. Some genes helps to make molecules called proteins. However, many genes do not synthesis for proteins. Every person has two copies of each gene, one inherited from each parent. Most genes are the same in all people, but a small number of genes (less than 1 percent of the total) are slightly different among the people. Alleles are forms of the same gene with small differences in their sequence of DNA bases. These small differences contribute to each person’s unique physical features.

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Two forces p and Q acting perpendicular to each other have a resultant of 50N. Given that the sum of p and Q is 70N calculate the value of the forces p and Q

Answers

According to the given statement,

The sum of p and Q is 70N , the value of the forces p and Q is

25N

What is magnitude?

"Distance or quantity" is how magnitude is simply defined. It shows how an object moves when it is in motion, whether that movement is absolute, relative, or of a certain size. It serves as a way to describe something's size or scope. Magnitude is a general term used in physics to describe size or distance.

In order to compare the speeds of a car and a bicycle, the magnitude can be used as an explanation. Additionally, it can be used to describe the length a particular object has travelled or the magnitude of an object's amount.

According to the given value,

The magnitude of Q= the horizontal component of the resultant force.

θ= 90°-30°= 60°

|Q|= 50cos 60°= 25N.

Hence, the sum of p and Q is 70N , the value of the forces p and Q is 25N.

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mass has no effect on blank due to gravity

Answers

Answer:

mass has no effect on acceleration due to gravity

Answer:

gravity

Explanation:

because  mass doesnt matter on gravity

Wavelength and frequency are _____ proportional to each other. as wavelength increases, frequency will _____.

Answers

Wavelength and frequency are inversely proportional to each other. as wavelength increases, the frequency will decrease.

Frequency is defined as the number of oscillations of a wave per unit of time. The SI unit of frequency is Hertz(H).

Wavelength is defined as the distance between two adjacent points also known as crests. The two points should be in phase. It is measured in meters and it is denoted by λ.

The relation between frequency and wavelength is inverse.

                                          F = 1/λ

If the frequency increases, the wavelength will decrease and vice versa.

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Frequency is inversely proportional to wavelength. As wavelength increases, the frequency will decrease

Wavelength is inversely proportional to frequency, meaning that as one falls, the other rises, and vice versa. A high-frequency wave has a short wavelength and vice versa. The wavelength is the distance between one point and the same point in the next wave cycle. The frequency is defined as the number of times a point on a wave travels through another point in a given period.

The space between two neighboring crests of a wave is defined as its wavelength and in meters. The quantity of wavelengths that move through a specified point in one second is defined as the frequency.

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What is the starting volume of water in the graduated cylinder?

Answers

26.0 mL of water were initially present in the graduated cylinder. The water level in the cylinder was 39.0 mL after inserting an object.

What does water volume mean?

Volume is the three-dimensional space inhabited by matter or encompassed by a surface, and it is expressed in cubic units. The SI unit of capacity is the cubic meter (m3), which is a derived unit.

What are the three methods for determining volume?Volume by space can be solved. Every physical object takes up space, and you may determine the volume of some of them by counting their individual parts.Calculate volume using mass and density. The definition of density is the mass of an object per unit of volume.Volume can be solved for via displacement.

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which of the following statements best describes the electric field in the region between the spheres?

Answers

Consider the Gaussian surface in the form of sphere, the electric field between the spheres is radially outwards.

For a positive charge, the electric field lines are projecting outwards of positive charge.

For a negative charge, the electric field lines are projecting inwards of positive charge.

Hence, the electric field points radially outwards.

What is electric field?

The physical field that surrounds electrically charged particles, known as an electric field (or E-field), exerts force on all other charged particles in the field, either attracting or repelling them.  Additionally, it describes the physical environment of a system of charged particles. Time-varying electric currents and electric charges are the building blocks of electric fields. One of the four basic interactions (also known as forces) of nature, the electromagnetic field, manifests itself in both electric and magnetic fields.

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a nonconducting wall carries charge with a uniform density of 8.15 µc/cm2. (a) what is the electric field 5.25 cm in front of the wall if 5.25 cm is small compared with the dimensions of the wall?

Answers

The electric field in front of the wall will be 4.61 × 10⁹ N/C.

What is the electric field?

An electrostatic force is a natural environment that covers electric polarization and acts as an attractor or repellent to all other energetic particles in the vicinity. It can also refer to a network of charged particles' test performance.

The electric field is given as,

E = σ / 2ε₀

Where σ is the charge per unit area, ε is the permeability (8.85 x 10⁻¹² N-m² / C²).

A non-conducting wall carries a charge with a uniform density of 8.15 µc / square cm.

The charge per unit area of the wall will be

σ = 8.15 × 10⁻⁶ C/cm²

σ = (8.15 × 10⁻⁶ C/cm²) × (100 cm / m)²
σ = 8.15 × 10⁻² C/m²

Then, at a distance of 2.00 cm, the electric field will be

E = 8.15 × 10⁻² / 2(8.85 x 10⁻¹²)

E = 4.61 × 10⁹ N/C.

The electric field in front of the wall will be 4.61 × 10⁹ N/C.

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A cheetah is known to be the fastest mammal on Earth, at least for short runs. Cheetahs have been observed running a distance of 5.50 × 102 m with an average speed of 1.00 × 102 km/h.

How long would it take a cheetah to cover this distance at this speed?

Answers

The cheetah needs 197.8 seconds to complete the 5.50 *100 m distance.

The distance traveled divided by the time taken is the most popular formula for calculating average speed. The average speed is determined by dividing the whole distance by the total time required to complete the distance. The other calculation, provided you have the initial and final speeds, adds them together and divides by 2.20. calculating the time needed for a cheetah to travel 5.50 102 meters.

10 km/h average speed is equal to 10 / 3.6, or 2.78 m/s.

Dist. = 5.50 102

Time =?

average speed = time / distance

time=5.50 x 100/ 2.78

Time = 197.8 s

Therefore, it takes a cheetah 197.8 seconds to travel 5.50 102 meters.

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which of the following best explains the picture

Answers

According to the illustration, the graphic illustrates the arrow and the intended target.

To target something or someone means to aim at them specifically. To aim a gun at a shooting range is an example of a target. To focus all of your efforts on one objective is an example of a target. verb. A target is an item or objective that is the subject of an aim.

Two or three arrows have been depicted in the green area of the image, which is located very distant from the red location. Given that they are all in the same location, this illustrates the idea of weak or low precision and excessive precession.

As a result, choice B is accurate.

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Research the precision of a range of instruments in your classroom.​

Answers

The precision of the range of instruments was done in the class room with few things like scale volumetric flask based on the criteria mentioned below.

The maximum and minimum range values that an instrument may measure for a quantity or signal, such as amps, volts, or ohms. A lot of multimeters have an auto range feature that automatically chooses the right range based on the measurement's magnitude. This offers the highest resolution of a measurement in addition to a meaningful reading.

Precision is the capacity of an instrument to repeatedly duplicate the same measurement with reliability.

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Vanillin is a flavoring agent which occurs naturally in the vanilla bean, the seed of an orchid. identify the functional group circled. carboxylic acid aldehyde carbonyl alcohol ketone

Answers

The correct answer is aldehyde.

An ether group, a hydroxyl group, and an aldehyde group may all be found in the structure of vanillin. Vanillin is known by the IUPAC designation 4-hydroxy-3-methoxy benzaldehyde. This demonstrates that ether is the least preferred group, followed by hydroxyl and aldehyde.

Only three other carbon atoms are connected to the carbon atom that is bonded to the aldehyde group. Except for the methyl group in ether, there are no other carbon atoms connected to 4 distinct groups that create a chiral centre in the aromatic ring. Additionally, the methyl group is not chiral since hydrogen is connected to three of its surfaces. Furthermore, we proved that a chiral centre is necessary for a molecule to be chiral.

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if a single charge creates an electric field, what happens when someone adds another charge? physicists add the fields from the two charges - but since the electric field is a vector field, this requires vector addition. add the vectors 5 2 and 4 6. what is the x component of the resulting vector?

Answers

The electric field is a vector field, this requires a vector addition. Add the vectors 52 and 46. So, the x component of the resultant vector is 9.

A single charge, let's assume q1, can produce the electric field shown by

Kq1/r​​​​​​2

When someone adds another charge, it experiences an electric force due to the electric field

Electric force = Electric field x charge =Eq2 = kq1 q2/r​​​​​​2​​​

For adding to vectors, we add the x and y components separately, and then find the resultant vector =

Resultant x component + resultant y component

Adding the X component,

5x+4x=9x

Adding the Y component,

2y+6y=8y

Therefore, the resultant vector is 9x+8y.

What is a resultant vector?

The vector sum of vector addition is just the consequence. It is the result of multiplying at least two vectors together. The outcome of adding the displacement vectors A, B, and C is vector R. An appropriately drawn, scaled, vector addition diagram can be used to compute vector R, as illustrated in the diagram.

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If two isosceles triangles have non-base angles of 40, are they similar? justify your answer.

Answers

True, they are comparable. You would need to multiply the base angles on MNP by two to get 80. 100 will be the final angle. Although size is not mentioned, it is the only way that isosceles triangles might be comparable but incongruent.

What are isosceles triangles?

An isosceles triangle in geometry is one with at least two equal-length sides. It can be defined as having an equilateral triangle as an exception, or as having exactly two sides of equal length or at least two sides of equal length.

An isosceles triangle must have two sides that are the same length to be considered an isosceles triangle. The base of the triangle is the uneven side, and these two sides are referred to as its legs. Additionally, according to the isosceles triangle theorem, the angles that face each of the equal sides must also be equal.

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A person is sitting in a car watching a traffic light. The light is 14. 5 m away.

When the light changes color, how long does it take the new color of light to

travel to the driver so that he can see it? State your answer in nanoseconds.

v=3. 00*10^8 m/s

Answers

The time taken by the light to travel to the driver is 48.3 x 10^-9 seconds or 48.3 nanoseconds.

The speed of a light wave is given by the following formula,

Speed = Distance/Time

The distance to be covered and the velocity of the light waveis given. From the given information the time taken by the wave to travel the distance can be calculated,

Putting distance = 14.5 m and speed = 3 x 10^8 m/s

3 x 10^8 m/s = 14.5 m/Time

Time = 48.3 x 10^-9 seconds or 48.3 nanoseconds.

Thus, the time taken by the light to travel to the driver is 48.3 x 10^-9 seconds or 48.3 nanoseconds.

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The time taken by the light to travel to the driver is 48.3 x 10^-9 seconds or 48.3 nanoseconds.

The speed of a light wave is given by the following formula,

Speed = Distance/Time

The distance to be covered and the velocity of the light wave is given. From the given information the time taken by the wave to travel the distance can be calculated,

Putting distance = 14.5 m and speed = 3 x 10^8 m/s

3 x 10^8 m/s = 14.5 m/Time

Time = 48.3 x 10^-9 seconds or 48.3 nanoseconds.

Thus, the time taken by the light to travel to the driver is 48.3 x 10^-9 seconds or 48.3 nanoseconds.

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(01.05 lc) the label on the car's antifreeze container claims to protect the car between −40°c and 140°c. to covert celsius temperature to fahrenheit

Answers

The label on the car's antifreeze container claims to protect the car between −40°c and 140°c. The Celsius temperature to Fahrenheit are -40°F and 284°F respectively.

What is Temperature?

Temperature, measure of hotness or coldness expressed in terms of any of several arbitrary scales and indicating direction in which heat energy will spontaneously flow—i.e., from a hotter body (one at higher temperature) to a colder body (one at a lower temperature). Temperature is not equivalent of the energy of a thermodynamic system; e.g., a burning match is at a much higher temperature than an iceberg, but the total heat energy contained in an iceberg is much greater than energy contained in a match. Temperature, similar to pressure or density, is called an intensive property—the one that is independent of the quantity of matter being considered—as distinguished from extensive properties, such as mass or volume.

Three temperature scales are there in general use today. The Fahrenheit (°F) temperature scale is used in the United States and few other English-speaking countries. The Celsius (°C) temperature scale is standard in virtually all countries that have adopted the metric system of measurement, and it is widely used in sciences. The Kelvin (K) scale, an absolute temperature scale (obtained by shifting the Celsius scale by −273.15° so that absolute zero coincides with 0 K), is recognized as the international standard for the scientific temperature measurement.

Now the to convert Celsius to Fahrenhite:

°F = (°C * 1.8) + 32

   =(−40°*1.8)+32

   =-40°

°F = (°C * 1.8) + 32

    =(140°c*1.8)+32

    =284°

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Assume you have a solution with a ph = 5.0; what would be the new ph of that system if the h3o concentration is doubled (assuming kw = 1x10-14)?

Answers

The amount of acidity or basicity in an aqueous solution is determined by its pH. The concentration of hydrogen ions in the solution can be used to calculate and determine the pH of an aqueous solution.

An aqueous solution's pH is determined using the pH scale, which commonly refers to water and ranges from 0 to 14. (although as discussed below this is not an a formal rule). The pH scale classifies 7 as neutral. A pH value lower than 7 is regarded as acidic. The term "basic" then refers to a pH value greater than 7. High hydronium concentrations and low hydroxide concentrations are characteristics of acidic solutions. High hydroxide concentrations and low hydronium concentrations characterize basic solutions.

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How would we change the design so the voltage remains closer to 5 v when the load is connected? how would this affect the life of the battery?

Answers

We link the AC voltages in series to raise the voltage and increase the output voltage. Because your system is consuming current while the measurement is being taken, you are lowering some voltage across the internal impedance of the battery.

What is impedance ?

Z stands for impedance, which is a statement of the resistance to alternating and/or direct electric current that an electronic component, circuit, or system offers. Resistance and reactance are two independent scalar (one-dimensional) phenomena that make up the vector (two-dimensional) quantity known as impedance.

When a school marching band is prevented from taking part in a parade because they cannot pay the bus' gas expenses, that is an example of impedance. A line of resistance within an electrical current is an illustration of impedance.

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The force of friction on a sliding object is 50 n. the applied force needed to maintain a constant velocity is?

Answers

The correct answer is 50N.

There can be constant-velocity motion in one of two situations: a body travelling alone (i.e., with no forces acting on it) or a body being acted upon by a system of balanced forces (i.e., with no net force acting on it). The second scenario is known as mechanical equilibrium.

An item in mechanical equilibrium is one that is travelling at a constant or constant speed. This implies that the item is not being affected by any net forces.

When an object is moving over a rough horizontal surface, a force that works in the opposite direction from the object's motion must be supplied to counteract the sliding/kinetic frictional force.

The force of friction is f = 50 N. Additionally, the strength of the delivered force must F=50 N in the motion's direction.

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How has commercial logging affected water resources?

Answers

Answer:There are a lot of issues with deforestation. However, for some nations around the world, logging jobs provide stable sources of income that might otherwise be unavailable. But now new research is taking a deeper look into the consequences of logging and asking, at what cost?

So I narrow it down mostly to deforestation, cost , animal population, water resources and etc

Explanation:

a lightning bolt strikes a tree, moving 20.39 c of charge through a potential difference of 60 mv. what energy was dissipated? 1mv

Answers

The calculated energy is 720 J.

The word "dissipation" is frequently used to refer to energy wastage. Any energy that is lost to the environment and is not converted to usable energy stores is referred to as wasted energy. Such a battery transfers charge by passing it via a potential difference of 12.0 V and providing a change in potential energy with a value equal to U=qV.  We multiply the charge transported by the potential difference to determine the energy output.

U=qV.

U indicates energy here

U=12x60

U=720 J

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when you clicked on the center of the ball to track its vertical (y-direction) motion, what did you notice about the separation between the horizontal segments?

Answers

The separation between successive segments first decreased and then increased with time.

What are Vectors?

A vector is a quantity or phenomenon with independent properties for both size and direction. The mathematical or geometrical representation of a quantity is another use of the term. Vectors can be found in nature as force, momentum, electromagnetic fields, weight, and velocity. A scalar is a number or phenomenon that just shows magnitude and no discernible direction. Scalars include things like velocity, mass, electrical resistance, and hard disc storage capacity. Weight is the force by the acceleration of gravity g acting on mass m. In mathematics and physics, the term "vector" is used informally to describe some quantities that cannot be described by a single number or by a set of vector space elements.

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the circumference of a sphere is 2 π r, where r is the radius of the sphere. the volume of the sphere is 4 3 π r3 , and 1 metric tonne is 1000 kg. assuming that a planet is a perfect sphere with a circumference of 23500 km and an average density of 2.41 g/ml, what is its approximate mass? answer in units of metric tonnes.

Answers

The planet has an approximate mass of: 5.2815*10^10 metric tones

To solve this problem the formulas and the procedures that we have to use  are:

c = 2 * π * rv= (4 *π * r³) / 3d = m/v

Where:

c =  circumference of a sphereπ = mathematical constantr = radiusv= volume d= densitym= mass

Information about the problem:

c = 23500 kmd = 2.41 g/mlπ = 3.14161 metric tone = 1000 kgr=?v = ?m =?

Applying the circumference of a sphere formula and clearing the radius we get:

c = 2 * π * r

r = 23500 km / 2 * 3.1416

r = 3740.132 km

Applying the volume of the sphere formula we get:

v= (4 *π * r³) / 3

v= (4 *3.1416 * (3740.132 km)³) / 3

v = 2,1915 *10^11 km³

By converting the volume units from (km³) to (ml) we have:

v = 2,1915 *10^11 km³ * 1*10^5 ml/1 km³

v = 2.1915*10^16 ml

Applying the density formula and clearing the mass we get:

d = m/v

m = d * v

m = 2.41 g/ml * 2.1915*10^16 ml

m = 5.2815*10^16 g

By converting the mass units from (g) to (metric tone) we have:

m = 5.2815*10^16 g * 1 kg/1000 g * 1 metric tone/1000 kg

m = 5.2815*10^10 metric tones

What is density?

It is a physical quantity that expresses the ratio of the body mass to the volume it occupies.

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Find the angle between the vectors and . the angle between the vectors is nothing radians. (round to the nearest hundredth.)

Answers

The angle between the vectors is 0.59 radians.

Calculation

cos(ϕ)=[tex]\frac{u.v}{|u|.|v|}[/tex]

cos(ϕ)= [tex]\frac{4}{\sqrt{5}\sqrt{6}}[/tex]

ϕ= 43.09°

or 0.59 in radians

Angle between vectors

The angle that is created at the intersection of two vector tails is called as the angle between the two vectors.

If the vectors are not joined tail-to-tail, we must shift one of the vectors using parallel shifting in order to join them from tail to tail.

Between Two Vectors Angle

The angle between the tails of two vectors defines the distance between them. Either the cross product or the dot product (scalar product) can be used to find it (vector product).

The angle between two vectors always ranges from 0° to 180°, as you should be aware of.

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