3.9 determine the current i in the circuit of fig. 3.21 after first replacing the four sources with a single equivalent source.

For a hanging mass of 0.061 kg and string density equal to 0.00040 kg/m, the velocity of a wave traveling down the string is 39m/s.

Velocity is defined as a vector measurement of the rate and the direction of motion. Put simply, velocity is the speed at which something moves in the one direction. The speed of a car traveling north on a major freeway and speed of a rocket launching into the space can both be measured using velocity.

The SI (international) units for the velocity are m/s (meters per second), but velocity may also be expressed in any units of distance per time. Other units include the miles per hour (mph), kilometers per hour (kph), and kilometers per second (km/s).

Velocity measures the motion starting in one place and heading toward another place. The practical applications of the velocity are endless, but one of the most common reasons to measure velocity is to determine how quickly you (or anything in motion) will arrive at a destination from a given location.

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hayashi 2004 ), temperature-electrical conductivity relation of water for environmental monitoring and geophysical data inversion,

The temperature correction issue for 25 °C ranged from 0.0175 to zero.0198, with an average price of 0.0187.

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The power of the motor is 3.82 kilowatt.

Shaft torque of the electric motor = 15 lb-ft = 20.3 Nm

Revolution per minute made by the electric motor = 1800 revolutions per minutes

The angular velocity of the electric motor is,

[tex]Angular \: velocity = \frac{ 2 \times π \times revolutions}{60} [/tex]

[tex]w = \frac{2 \times \pi \times r}{60}[/tex]

[tex]w = \frac{2 \times 22 \times 1800}{ 7 \times 60}[/tex]

[tex]w = 188.5 \: rad/s[/tex]

The angular velocity of the electric motor is 188.5 rad/s.

The power of the motor is,

[tex]Power = torque \times angular \: velocity[/tex]

[tex]P = τ \times w[/tex]

[tex]P = 20.3 \times 188.5[/tex]

[tex]P = 3826.5 \: watt[/tex]

[tex]P = 3.82 \: kilowatt[/tex]

Therefore, the power of the motor is 3.82 kilowatt.

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The air resistance on the feather is 20.2275 x [tex]10^9[/tex]N.

Air resistance is the force the air applies to objects moving through it. Scientists frequently refer to this force as drag or drag force. Usually, this force is utilized to slow down the object's speed by acting in the opposite direction.

The moving body is subject to the frictional force of air resistance. Air resistance slows a moving body down. The body experiences higher air resistance the more it moves.

Given:

Mass, m = 10g

Height, h = 3m

Time, t = 2s

Force constant, k = 8.99 x [tex]10^9 Nm^2[/tex]

To find:

Air resistance, Fa = ?

Formula:

[tex]Fa = kv^2[/tex]

Calculations:

Speed, v = h/t

v = 3/2

v = 1.5m/s

Fa = 8.99 x [tex]10^9[/tex] x 1.52

Fa = 20.2275 x [tex]10^9[/tex]N

Result:

The air resistance on the feather is found to be 20.2275 x [tex]10^9[/tex]N.

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Answer:

Solubility

Explanation:

Solubility involves dissolving a substance

The time cannon ball to hit the ground is 9s and length of platform is 1,458 m.

To calculate time taken by cannon ball hit ground we use formula,

speed = distance / time

s = d / t

As given,

s is 18m/s

d is 162m

t = ?

Putting the values,

18m/s = 162m / t

t = 162m / 18m/s

t = 9 s

To calculate length of platform,

length = distance x time taken to hit the ground

l = 162m x 9s

l = 1,458 m

When an object is moving, its velocity is the rate at which its direction is changing as seen from a specific point of view and as measured by a specific unit of time. a vector measurement of the motion's velocities. Simply put, velocity is the rate of movement in a single direction. Velocity can be used to gauge both the speed of a rocket launching into space and the speed of a car traveling north on a busy freeway.

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The force exerted on the block by the spring is 89.7 N and it will experience an acceleration of 35.8 m/s².

Mass of the block = 2.5 kg

Spring constant of the spring = 115 N/m

Change in the length of the spring = 78.5 cm = 0.78 m

Friction = 0

The force exerted on the block by the spring is,

[tex]Spring \: constant = \frac{Force }{ Change \: in \: length \: of \: the \: spring}[/tex]

[tex]k = \frac{F}{x}[/tex]

[tex]F = x \times k[/tex]

[tex]F = 0.78 \times 115[/tex]

[tex] = 89.7 \: N[/tex]

The force exerted on the block by the spring is 89.7 N.

It will experience an acceleration of,

[tex]Force= mass \times acceleration[/tex]

[tex]F = m \times a[/tex]

[tex]a = \frac{F}{m} [/tex]

[tex]a = \frac{89.7}{2.5} [/tex]

[tex] = 35.8 \: m/s ^{2} [/tex]

Thus, it will experience an acceleration of 35.8 m/s².

Therefore, the force exerted on the block by the spring is 89.7 N and it will experience an acceleration of 35.8

m/s².

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The astronaut's weight plus his space suit on Earth is 1,639.34 N

To solve this exercise, the weight formula and procedure to be applied is:

W = m * g

Where:

Information about the problem:

Applying the weight formula, we isolate the mass to get the mass of the astronaut plus his space suit on the moon:

W = m * g

m = W(moon)/g(moon)

m = 271 kg * m/s² / 1.62 m/s²

m = 167.28 kg

With the mass, we calculate the weight on the earth:

W(earth) = m * g(earth)

W(earth) = 167.28 kg * 9.8 m/s2

W(earth) =  1,639.34 N

In physics, gravity is the force of attraction that the earth exerts on all bodies possessing mass by pulling them toward its center.

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Answer: The crust of the earth is broken into pieces, like the cracked shell of a hardboiled egg. The mantle of the earth is like the egg white, and the core of the earth lies in the center, like the egg yolk. The earth's brittle crust is broken into pieces that geologists call plates.

The solar system and planets were created from a revolving cloud of interstellar gas, according to the nebular theory, which also explains how the sun came into being.

The nebular speculation is the maximum extensively commonplace version within side the subject of cosmogony to provide an explanation for the formation and evolution of the Solar System (in addition to different planetary systems). It shows the Solar System is fashioned from fueloline and dirt orbiting the Sun.

How does the nebular theory shape the sun gadget?

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The x axis shows the type of product while the y axis can be used to show the percentage.

The bar chart is one of the ways to present data. It involves the use of long bars to represent the dependent variable. We know that data presentation is a very vital part of information presentation.

Now, if we look at the chart, we can see that there are two axes, the x and the y axis. In either case, the axis mean something!

The x axis shows the type of product while the y axis can be used to show the percentage.

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Conversion should be done as follows:

4 km/min → m/hr

⇒ 4 km/min = (4x1000)/ (1/60) = 240000 m/hr

How are kilometers per minute calculated?

You can measure your current speed in mph or kph. To convert it to kilometers per minute or miles per minute, divide it by 60.

To get miles per second or kilometers per second, divide by 60 once more.

Alternative: To convert it directly, divide it by 3600.

Divide the number of kilometers per hour (kmph) by 1.609344 to get the equivalent number of miles per hour (mph).

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A constellation can be said as a collection of stars that resembles any kind of pattern or image, such as Leo the Lion, Taurus the Bull, or Orion the Great Hunter.

A constellation can be specified as a collection of stars that resembles a pattern or image. People can use these constellations to help them find their way around by looking up at the night sky. There are in total about 88 constellations that are “official.”

Most of the constellation names we are familiar with derive from ancient Greek, Roman, and Middle Eastern cultures. The gods, goddesses, monsters, and locales from their mythology were recognized in star groupings.

It’s crucial to realize that these weren’t the only nations who populated the night sky with figures significant to their way of life.

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The ratio of the size of the electrostatic repulsion to that of the gravitational attraction is 4.17×[tex]10^{42}[/tex]

Time interval stays the same = 1 sec in this case.

Because, T = 2 pi (m/k)^1/2 is independent of displacement depends on mass and the same in both situations spring constant.

What is the interval of time?

The length of time between two specific moments in time is known as a time interval. Here's an illustration: "The period between three and four o'clock is one hour." Different units are used to describe different lengths of time, and some units are more suited to particular periods of time than others.

A second is the shortest unit of time we would utilize on a daily basis.  And a day is made up of 24 hours. A watch or a clock can be used to record these time units. A calendar is necessary if you want to measure longer periods of time.

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Answer:

No

Explanation:

Some of the mass has been transformed into energy.

Hope this helps!

If the cold drink will be left out for 15 minutes its temperature would be 72 F.

The formula for Newton’s Law of Cooling is given in the adjoining image.

Applying the given values in the above equation,

T- T1 = (TS - T1) e^-kt

42 -72 = (39-72) e^-2k

- 30/ -33 = e^-2k

K = 0.045

Putting k = 0.045 and t = 15 minutes

T comes out to be 72 F.

Hence, if the cold drink will be left out for 15 minutes its temperature would be 72 F.

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The charged particles that transferred between the glass rod and the metal sphere were electrons.

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The direction of the final velocity of the space shuttle flying north at 6,510 m/s, then accelerating at 28.4 m/s² for 60.0 seconds in the northeast direction I is approximately north 8.9° east.

The velocity of the space shuttle in the northeast direction after 60.0 seconds is therefore;

v = 28.4 × 60 = 1704

Which gives;

(vf)² = 6510²+1704²-2×6510×1704×cos(135)

(vf)² = 67383000.3975

vf = √(60971643.616) ≈ 7808.43

7808.43/sin(135) = 1704/sin(x)

x = arcsine (1704/(7808.43/sin(135)))

x ≈ 8.9°

The direction of vf is therefore;

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The electric potential  between the two charges is 91.68 V.

The electric potential  between the two charges is calculated as follows;

V = Ed

where;

Substitute the given parameters and solve for electric potential,

V = 573 N/c x 0.16 m

V = 91.68 V

Thus, the electric potential  between the two charges is 91.68 V.

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Answer:

the answer is source of sound

The power increases by a factor of [tex]10^3,[/tex]or 1000. In other words, the final power level is 1000 times greater than the initial power level.

The decibel (dB) scale is a logarithmic scale used to express the ratio of two power levels. The formula to calculate the ratio of two power levels in decibels is:

Ratio in dB = [tex]10 * log10 (P2/P1)[/tex]

where P1 and P2 are the two power levels being compared.

To find the factor by which the power increases, we can rearrange this formula to solve for the ratio of the two power levels:

P2/P1 = 10^(dB/10)

In this case, the power level increases from 20 dB to 50 dB, so the ratio in dB is:

Ratio in dB = 50 dB - 20 dB = 30 dB

Substituting this value into the formula, we get:

[tex]P2/P1 = 10^(30/10) = 10^3[/tex]

Therefore, the power increases by a factor of [tex]10^3,[/tex] or 1000. In other words, the final power level is 1000 times greater than the initial power level.

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Answer:

Explanation:

Hope everything's clear!

Goodluck

The distance between one positive peak and the next positive peak of a wave is called wavelength.

In physics, the wavelength is the length over which a periodic wave repeats, or its spatial period. It is the separation between neighboring wave points that correspond to the same phase, such as two adjacent crests, troughs, or zero crossings. It is a property of both traveling waves and standing waves as well as other spatial wave patterns. The spatial frequency is the wavelength's reciprocal. The Greek letter lambda , which represents wavelength, is frequently used. When describing modulated waves, their sinusoidal envelopes, or waves created by the interference of several sinusoids, the term wavelength is also occasionally used. Wavelength is inversely related to frequency for a sinusoidal wave flowing at a constant speed.

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The magnitude of the torque about the point where the shaft is attached to the bicycle will be 740 N-m.

The torque is the cross product of the perpendicular distance and force. The torque is the vector quantity and its SI unit is N-m. The torque is given as,

T = r x F

T = r · F · sin θ

A bicycle pedal is pushed straight downwards by a foot with 37 Newtons of force. The shaft of the pedal is 20 cm long. If the shaft is radians past horizontal. Then the angle will become the right angle.

Then the magnitude of the torque about the point where the shaft is attached to the bicycle will be given as,

T = r · F · sin θ

T = 20 · 37 · sin 90°

T = 740 N-m

Then the magnitude of the torque about the point where the shaft is attached to the bicycle will be 740 N-m.

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From the Rutherford's model of the atom, the electron moves round in orbits as the planets moves round the sun.

According to the Rutherford's model of the atom, the electron moves round in orbits as the planets moves round the sun. The nucleus is at the focus of concentric ellipses.

This model solved the riddle of the experiment of Rutherford which suggested  large positively charged core at the center of the atom and not the large sphere of positive and negative charges as previously opined by Thompson.

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The interaction between two like-charged objects is repulsive. The interaction between two oppositely charged objects is attractive.

A charge is any of various amounts, for example, the electric charge in electromagnetism or the variety charge in quantum chromodynamics. Charges compare to the time-invariant generators of a balance bunch, and explicitly, to the generators that drive with the Hamiltonian. Charges are in many cases meant by the letter Q, thus the invariance of the charge compares to the evaporating commutator[Q,H]=0, where H is the Hamiltonian. Hence, accuses are related of moderated quantum numbers; these are the eigenvalues q of the generator Q. A charge is any generator of a persistent balance of the actual framework under study. At the point when an actual framework has a balance or the like, Noether's hypothesis infers the presence of a moderated current. The "streams" in the current is the "charge", the charge is the generator of the (neighborhood) balance bunch. This charge is once in a while called the Noether charge. Charge is denoted by Q.

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The brakes on Ned's overland truck are broken, but he continues to drive them. unable to slow down, he crashes into a guardrail and pulls off the road. in the case of ned versus overland, the truck manufacturer can raise the defense of assumption of risk

In situations when the plaintiff has voluntarily assumed the risk of such acts, the common law doctrine known as "assumption of risk" states that the plaintiff is ineligible to claim damages from a negligent party. Sometimes, prospective plaintiffs assume the risk of harm and absolve prospective defendants of all responsibility. This was once an affirmative defense open to defendants, but in most countries, it has since been supplanted by complicity and comparative negligence.

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The distance from point s to point p is 0.8 meters by the vector coordinates s and p.

A vector is an entity that has both dimension and direction. A directed boundary can be used to represent a vector graphically, with the length of the segment corresponding to the vector's magnitude and the direction being indicated by an arrow. From its tail to its head, the vector points in a 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.

We are given the point s is (10 m, 10 m, 7 m) and the point p is (4 m, 5 m, 5 m).

Now the vector coordinates are: (10-4)i+(10-5)j+(7-5)k=6i+5j+2k.

The distance in the vector form is: 5/(6²+5²+2²)=5/65=0.8

So the distance is 0.8 m.

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The personality trait which helps you to use straightforward and confident communication with others is referred to as Assertive and is therefore denoted as option D.

This is defined as the process in which information is passed or exchanged from one person or place to another through various means and forms.

Assertiveness is a personality which is characterized by self assuredness without exhibiting aggressiveness in making points clear to other people.It is also known as a straightforward and confident communication with others.

This is therefore the reason why option D was chosen as the most appropriate choice.

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Answer: assertive

Explanation: