Source of error for measuring magnetic fields in a solenoid lab

It looks like you're given

[tex]x(t) = -11\,\mathrm m + \left(1\dfrac{\rm m}{\rm s}\right) t - \left(5\dfrac{\rm m}{\mathrm s^3}\right) t^3[/tex]

[tex]y(t) = 19\,\mathrm m + \left(3\dfrac{\rm m}{\rm s}\right) t - \left(9\dfrac{\rm m}{\mathrm s^2}\right) t^2[/tex]

The particle's position vector at time [tex]t[/tex] is given by

[tex]\vec r(t) = x(t)\,\vec\imath + y(t)\,\vec\jmath[/tex]

Differentiate [tex]\vec r[/tex] twice to recover the velocity and acceleration vectors.

[tex]\vec a(t) = \dfrac{d\vec v(t)}{dt} = \dfrac{d^2\vec r}{dt^2} = x''(t)\,\vec\imath + y''(t)\,\vec\jmath \\\\ \implies \vec v(t) = \left(1\dfrac{\rm m}{\rm s} - \left(15\dfrac{\rm m}{\mathrm s^3}\right) t^2\right)\,\vec\imath + \left(3\dfrac{\rm m}{\rm s} - \left(18\dfrac{\rm m}{\mathrm s^2}\right) t\right) \,\vec\jmath \\\\ \implies \vec a(t) = -\left(30\dfrac{\rm m}{\mathrm s^3}\right)t \, \vec\imath - \left(18\dfrac{\rm m}{\mathrm s^2}\right) \,\vec\jmath[/tex]

At [tex]t=1.4\,\rm s[/tex], the particle has acceleration

[tex]\vec a(1.4\,\mathrm s) = \left(-42\,\vec\imath - 18\,\vec\jmath) \dfrac{\rm m}{\mathrm s^2}[/tex]

with magnitude

[tex]\|\vec a(1.4\,\mathrm s)\| = \sqrt{\left(-42\dfrac{\rm m}{\mathrm s^2}\right)^2 + \left(-18\dfrac{\rm m}{\mathrm s^2}\right)^2} \approx 45.695\dfrac{\rm m}{\mathrm s^2}[/tex]

and making an angle [tex]\theta[/tex] relative to the positive [tex]x[/tex]-axis such that

[tex]\tan(\theta) = \dfrac{-18}{-42} = \dfrac37[/tex]

Since both components of the acceleration vector have negative sign, the acceleration points into the third quadrant, so that we add a multiple of 180° after taking the inverse tangent of both sides, namely

[tex]\theta = \tan^{-1}\left(\dfrac37\right) - 180^\circ \approx -156.801^\circ[/tex]

Now, (a) the magnitude of the net force acting on the particle is, by Newton's second law,

[tex]F = (0.41\,\mathrm{kg})\|\vec a(1.4\,\mathrm s)\| \approx \boxed{18.735\,\mathrm N}[/tex]

and (b) makes the same angle as the acceleration vector, [tex]\theta \approx \boxed{-156.801^\circ}[/tex].

At this moment, its velocity vector is

[tex]\vec v(1.4\,\mathrm s) = \left(-28.4\vec\imath - 22.2\,\vec\jmath\right) \dfrac{\rm m}{\rm s}[/tex]

which (c) makes an angle [tex]\theta[/tex] such that

[tex]\tan(\theta) = \dfrac{-22.2}{-28.4} = \dfrac{111}{142}[/tex]

This vector also points in the third quadrant, so

[tex]\theta = \tan^{-1}\left(\dfrac{111}{142}\right) -180^\circ \approx \boxed{-142.986^\circ}[/tex]

Answer: 1280 J

[tex]KE=\frac{1}{2}mv^{2} \\\\KE= \frac{1}{2} (10 kg)(16 m/s)^2\\=1280 J[/tex]

I have to be honest with you . . . It's not possible to determine the answer with only the information given in the question.

Kinetic energy = (1/2) (mass) (speed squared).

Josie's Kinetic energy as she crosses the finish line is

(1/2) (her mass) (her speed as she crosses the finish line)².

That's (5 kg) x (her speed as she crosses the finish line)² .

But read the question again.

WE DON'T know her speed as she crosses the finish line.

The question only tells us her average speed for the whole race.

We can be confident that her Average Kinetic Energy was

(5 kg) (16 m/s)²  =  1,280 Joules.

But we can't tell what her kinetic energy was as she crossed the finish line, beause we don't know what her speed was at that instant.

When they meet the 40-kg boy will have moved a distance of 6 m.

Displacement of the 40 kg boy

The displacement of the 40 kg boy is calculated from the principle of center mass.

X(40 kg) = (60 x 10 m    +  40 x 0)/(40 kg + 60 kg)

X(40 kg) = (600)/(100) = 6 m

X(60 kg) = (60 x 0    +  40 x 10 m)/(40 kg + 60 kg)

X(60 kg) = (400)/(100) = 4 m

Thus, when they meet the 40-kg boy will have moved a distance of 6 m.

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The sound that Tina produces while singing is loud and high-pitched.

How is a sound produced?

Vibrations that travel through the air or another medium and can be heard by an observer are called sounds. Sound is produced by the following cycle:

Therefore, when Tina sings larger vibrations are created, and the tension within her vocal cords increases producing a very high-pitched loud sound.

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Answer:

What type of equilibrium? There are more types, lol.

If you want a mechanical equilibrium, then just take in consideration the uniform linear motion. The resultant of the forces is null.

You can change the wavelength into scientific notation and the electromagnetic spectrum will then tell you where it falls.

In physics, the wavelength is the spatial period of a periodic wave—the space over which the wave's shape repeats. It's miles the distance among consecutive corresponding points of the same section on the wave, together with two adjacent crests, troughs, or zero crossings, and is a function of each traveling wave and status wave, in addition to other spatial wave styles.

The inverse of the wavelength is referred to as the spatial frequency. Wavelength is normally designated through the Greek letter lambda (λ). The time period wavelength is also every now and then implemented to modulated waves, and to the sinusoidal envelopes of modulated waves or waves formed via interference of numerous sinusoids.

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Resistance of a lightbulb is 240.8 ohm

Given:

Power = 120 W

Frequency = 60.0-Hz

Voltage = 170 V

To Find:

Resistance of a lightbulb

Solution: The electrical resistance of a circuit is the ratio between the voltage applied to the current flowing through it. Rearranging the above relation, R = V I. The unit of electrical resistance is ohms.

The resistance of the light bulb is given by the formula, R=V²/P

R = (170)^2/120

R = 240.8 ohm

Hence, the resistance of light bulb is R = 240.8 ohm

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Two-electron or metallic conducting electrodes that are connected by an electrolyte solution that conducts ions.

An electrochemical measurement method is potentiometry. The phrase was first used in relation to possible electrochemical measurement chain determinations. Potentiometer is a tool that measures an electrochemical cell's potential without drawing current or changing the makeup of the cell.

Potentiometric measurement is done to detect the difference in potential between a working (an indicator) electrode and a counter (a reference), using a potentiometer. The working/indicator electrode is called the cathode (right half-cell) and the counter/reference electrode is called an anode(half of a left cell).

A basic galvanic cell may just have one electrolyte isolated from it by a semi-permeable membrane, but a more complex one has two independent half-cells linked together by a salt bridge. An inert electrolyte like potassium sulfate is included in the salt bridge, and its ions will diffuse into each of the individual half-cells to balance the charges that are building up at the electrodes.

I understand the question you are looking for is this:

Potentiometric measurements are based on galvanic electrochemical cells. These types of cells consist of:

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[tex] \large{ \boxed{ \tt{447.3 \: m}}}[/tex]

-Please see the attached picture for full solution!:)

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Newton's second law is the hardest to describe as it is about momentum  (F = ma), and a lot of people don't know the concept of momentum.

Newton's first law of motion:- every object moves in a straight line unless acted upon by a force.

Newton's 2nd law of motion:-the acceleration of an object is directly proportional to the net force exerted and inversely proportional to the item's mass. Newton's 2nd law is a quantitative description of the changes that a force can produce on the motion of a body. It states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it.

Newton's 3rd law of motion:- For every action, there's an equal and opposite reaction.

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Answer: Velocity can best be described as, the speed in a given direction.

Explanation: To find the answer, we need to know more about the Velocity of a body.

Thus, we can conclude that, the option C is best describing velocity.

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The speed in a certain direction is the best way to define velocity.

We need to learn more about a body's velocity in order to locate the solution.

As a result, we can say that choice C best captures velocity.

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Capacitance is the amount of charge a capacitor can store per volt of potential difference.

Capacitance is defined as the capacitors ability to store an electrical charge on its plates. Capacitance is derived from capacity which means ability to store.

So we can conclude that Capacitance is the amount of charge a capacitor can store per volt of potential difference.

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The amount of charge a capacitor can store per volt of potential difference is called the capacitance of the capacitor.

The capacitance has to do with the amount of charge that is stored by a capacitor. We know that a capacitor is a device that can be used to store electric charges. We have in it, two capacitors separated by a dielectric material.

Hence, the amount of charge a capacitor can store per volt of potential difference is called the capacitance of the capacitor.

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Answer:

[tex]250000 \frac{n}{m {}^{2} } [/tex]

Explanation:

pressure is the force applied perpendicular to the surface area of an object per unit area.

for the question,

Force (F) = 5000N

[tex]Area = 200cm {}^{2} = 0.02m {}^{2} \\ Pressure = \frac{force}{area} \\ Pressure = \frac{5000}{0.02} \\ Pressure = 250000 \frac{n}{m {}^{2} } [/tex]

A person riding a Ferris wheel moves through positions at

(1) the top,

(2) the bottom, and

(3) mid-height. If the wheel rotates at a constant rate, rank these three positions according to

(a)the magnitude of the person’s centripetal acceleration, is same in all cases.

(b) the magnitude of the net centripetal force on the person, is same in all three cases.

(c) the magnitude of the normal force on the person from the bottom,

2<3<1

(d) the weight the person feels, greatest first is at the bottom.

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Answer:

Explanation:

In physics, work can be described as force multiplied by the displacement of the object (distance caused by the force acted on the object).

Work is a form of energy, therefore, it is measured in joules.

If Alex pushed on an object with 10N of force, and the object moved 2 meters, the work of Alex will be equal to:

W = Ft

W = 10N * 2m

W = 20 Joules

But, if we have John, that pushed on an object with 2N of force, but, since the object was way smaller, therefore it had way less inertia, the object moved a distance equal to 10 meters. Let's also calculate his work.

W = Ft

W = 2N * 10m

W = 20 Joules

And we got the same result.

Work can also be used to calculate power.

Power is equal to P = Work / time

It can also be written as P = delta Work / delta time

Power is measured in joules per second.

With power you can make the difference between someone that got a 2 kg object up in 2 second, and someone that got a 2 kg object up in 5 second.

The more powerful one would be the one who managed to make the same work in less time.

Hope it Helped!

Work is described as: the measure of energy transfer resulting from the application of force over a displacement.

In the field of physics, work is most accurately defined as the outcome of multiplying the force exerted on an object by the distance the object is displaced in the same direction as the force.

This calculation serves to quantify the energy transferred to or from the object. For instance, if an individual applies a 50 Newton force to push a box across a 5-meter distance in the force's direction, the work done on the box would equal 250 Joules (50 N × 5 m).

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D. The maximum electromotive force induced in the coil is determined as 3,200 V.

emf(max) = NAB/t

where;

Substitute the given parameters and solve for emf

emf(max) = (150 x 0.042 x 0.86) / (1.7 x 10⁻³)

emf(max) = 3,187.1 V

emf(max) ≈ 3,200 V

Thus, the maximum electromotive force induced in the coil is determined as 3,200 V.

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The average power delivered to this circuit is 51.1 W.

The average power delivered to this circuit is calculated as follows;

P = v²(rms)/R

v(rms) = 0.7071v₀

where;

Substitute the given parameters and solve for average power

v(rms) = 0.7071v₀

v(rms) = 0.7071(150 V)

v(rms) = 106.1 V

Power = (106.1²) / (220)

Power = 51.2 W

Thus, the average power delivered to this circuit is 51.1 W.

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Volume of the box observed at the given speed is 7.89 m³

Given:

Length of side of box = 1.5 m

horizontal speed = 0.90 c

To Find:

Volume of box

Solution: The amount of space occupied by a three-dimensional figure as measured in cubic units (as inches, quarts, or centimeters)

The edge length of the cube according to the stationary observer is calculated as

a' = a x √ 1 - v^2/c^2

a' = 1.5 x √ 1 - (0.9c)^2/c^2

a' = 1.5 x 0.19

a' = 0.285 m

The volume of the cube is calculated as follows;

V = A x a'

V = (a)^2 x a'

V = (1.5)^2 x 0.285

V = 7.89 m³

Thus, the volume of the box observed at the given speed is 7.89 m³

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From position 1 to position 2, the kinetic energy is increasing.

The kinetic energy of a pendulum undergoing simple harmonic motion decreases as the displacement of the pendulum increases and increases as the displacement of the pendulum decreases.

From position 1 to position 2, the kinetic energy is increasing while the potential energy is decreasing.

Thus, from position 1 to position 2, the kinetic energy is increasing.

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The second step would be to divide the mass of the compound by the molar mass of the compound.

In converting the mass of a compound to the number of moles of the same compound, one needs to divide the mass by the molar mass of the compound.

Mathematically, this is expressed as:

Number of moles of a compound = mass of the compound/molar mass of the compound.

Thus, the first step would be to calculate the molar mass of the compound from the molar weight of the atoms of elements that constitute the compound.

The second step would then be to divide the mass by the calculated molar mass in order to obtain the number of moles.

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The purpose of nucleophilic substitution reactions of alkyl halides experiment is to demonstrate in the laboratory setting Nucleophilic substitution reactions of alkyl halides.

In this it is been  aimed to observe nucleophilic substitution reactions, SN1 and SN2 will by the addition of a solvent to mixtures of alkyl halides. In order to make this experiment effective a standard procedure is being used  and noted observations while each reaction occurred.

Nucleophilic substitution reactions are an important class of reactions that allow the interconversion of functional groups. For alcohols, the range of substitution reactions possible can be increased by utilizing the tosylates (R-OTs), an alternative method of converting the -OH to a better leaving group.

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Answer:

In the surface of the moon, gravitational acceleration is 1.63 m/s*2.

Explanation:

An object of mass M will accelerate gravitationally at a distance R if it is at the following distance:

g = G*M/R^2

Where the gravitational constant is G.

G = 6.67*10^(-11) m^3/(kg*s^2)

At the surface of a moon, the distance between its surface and its center will be equal to its radius, since a moon's mass is concentrated at its center, thus:

R = 1740 km

It's important to remember that we need meters in order to work:

1 km = 1000 m

so:

1740 km = (1740)*1000 m = 1740000 m

R =  1740000 m

Basically, the mass consists of:

M = 7.4x10^22 kg

Incorporating all that into the gravitational acceleration equation, we get:

g = (6.67*10^(-11) m^3 / (kg*s^2))*(7.4x10^22 kg) / ( 1740000 m)^2

g = 1.63 m / s^2

In the surface of the moon, gravitational acceleration is 1.63 m / s*2.

a) Density is mass of a unit volume of a material substance

b) Algebraic expression relating Density = m / v

c) Density is an intensive property, which means the density does not change as the amount of the substance present changes

a) Density is mass of a unit volume of a material substance. The formula for density is d = M/V, where d is density, M is mass, and V is volume. Density is the measurement of how tightly a material is packed together.

The more closely packed particles are, the more dense the object. The amount of mass in a particular space or volume. The more particles (or mass) in a given space, the more dense it is.

b) Algebraic expression relating Density = mass / volume or m/v

where d is density, M is mass, and V is volume.

c) Density (ρ) is the amount of mass (m) per unit volume (V) of a substance. Density is an intensive property, which means the density does not change as the amount of the substance present changes.

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The Earth’s average orbital speed expressed in kilometers per hours is 107225.5 Km/hr and the mass of the sun is 2.58 x [tex]10^{24}[/tex] Kg

Linear speed is the product of angular speed and the maximum displacement of the particle. That is,

V = Wr

Where

Given that the earth orbits the sun at an average circular radius of about 149.60 million kilometers every 365.26 Earth days.

a) To determine the Earth’s average orbital speed, we will make use of the below formula to calculate angular speed

W = 2[tex]\pi[/tex]/T

W = (2 x 3.143) / (365.26 x 24)

W = 6.283 / 876624

W = 7.2 x [tex]10^{-4}[/tex] Rad/hr

The Earth’s average orbital speed V = Wr

V = 7.2 x  [tex]10^{-4}[/tex] x 149.6 x [tex]10^{6}[/tex]

V = 107225.5 kilometers per hours.

b) Based on the information given in this question, to calculate the approximate mass of the Sun, we will use Kepler's 3rd law

M = (4[tex]\pi ^{2}[/tex][tex]r^{3}[/tex]) / G[tex]T^{2}[/tex]

M = (4 x 9.8696 x 3.35 x [tex]10^{24}[/tex]) / (6.67 x [tex]10^{-11}[/tex] x 7.68 x [tex]10^{11}[/tex])

M = 1.32 x [tex]10^{26}[/tex] / 51.226

M = 2.58 x [tex]10^{24}[/tex] Kg

Therefore, the Earth’s average orbital speed expressed in kilometers per hours is 107225.5 Km/hr and the mass of the sun is 2.58 x [tex]10^{24}[/tex] Kg

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Cosmology  physics is used to describe the interaction of matter and energy from the beginning of the cosmic singularity to the Planck time.

Astronomy's field of cosmology examines the beginnings and development of the universe, from the Big Bang through the present and into the future. The current cosmological model for the development of the universe is the Big Bang theory, which relies on the validity of general relativity. There is a singularity there as well.

According to the Big Bang theory, the cosmos was once compressed into an infinitely small point 13.77 billion years ago. Prior to 10-43 seconds after the Big Bang, during the Planck Era, gravity, nuclear strong, nuclear weak, and electromagnetic forces are thought to have been merged into a single "super" force.

Therefore, cosmology  physics is used to describe the interaction of matter and energy from the beginning of the cosmic singularity to the Planck time.

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If the density of water does not vary and the vents range in depth from about 1500 m to 3200 m below the surface, then the gauge pressure at a 2452-m deep vent is 224.268 atm.

Calculation:

Step-1:

It is given that the vents range in depth from about 1500 m to 3200 m below the surface. If we are assuming that the density of water does not vary. Then it is required to calculate the gauge pressure at a 2452-m deep vent.

The gauge pressure at a particular depth of ocean water is calculated as:

[tex]$$P=\rho g h$$[/tex]

Here [tex]\rho[/tex] is the density of water, P is the required pressure, h is the depth of water, and g is the gravitational acceleration.

Step-2:

Now we are substituting the values to calculate the pressure at the depth of 2452-m.

[tex]$$\\\begin{aligned}\\P&=\rho gh\\&=1030 (\text{ kg/m}^3)\times 9.8 (\text{ m/s}^2)\times 2452 \text{ m}\\&=24.75\times 10^6 \text{ Pa}\times\frac{1 \text{ atm}}{10.1325 \times10^4 \text{ Pa}}\\&=224.268 \text{ atm}\\\end{aligned}\\$$[/tex]

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Answer:

See below

Explanation:

Power = amps * volts  = .27 * 12 = 3.24 watts

V= IR

R = V/I = 12/.27 = 44.44 ohms

64 people are allowed daily into the coyote buttes north area, which includes the wave.

The Wave and other aesthetically stunning natural sandstone formations can be found in Coyote Buttes North.

It is a small portion of the 112,500-acre Paria Canyon-Vermilion Cliffs Wilderness of Northern Arizona.

How was the wave in coyote buttes formed?

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64 people are allowed daily into the coyote buttes north area, which includes the wave.

The Wave and other aesthetically stunning natural sandstone formations can be found in Coyote Buttes North.

It is a small portion of the 112,500-acre Paria Canyon-Vermilion Cliffs Wilderness of Northern Arizona.

To enter Coyote Buttes North (The Wave) and Coyote Buttes South, you need a permission.

There are only daytime permits available.

Permits have a daily maximum.

Coyote Buttes North (The Wave) permits are distributed via lottery.

The Wave is a Navajo Sandstone formation found in the Paria Canyon-Vermilion Cliffs Wilderness of Northern Arizona.

The amazing patterns in the rock here were created by the wind and erosion over millions of years.

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(a) The forces acting on the truck is not balanced.

(b) The resultant force acting on the truck is 40 N towards the right direction.

(c) As the resultant force increases, the speed of the truck increases.

net vertical force = 500 N - 500 N = 0

net horizontal force = 100 N - 60 N = 40 N

The forces acting on the truck is not balanced.

The resultant force acting on the truck is 40 N towards the right direction.

Thus, as the resultant force increases, the speed of the truck increases.

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Answer: It represents a small amount of oxygen being taken into the body when the body consumes more oxygen than what is being intake

Explanation: to be deficit means the amount of something is too small and there for oxygen deficit is a too small amount of oxygen.