Why does a mirror or glass polished by dry cloth on a dry day soon gets dirty

Answer:

Explanation:

You can use the cross product. Let the vector that perpendicular to a and c is \(\vec{d}\), so:

\(\vec{d}=\vec{a}\times\vec{c}=\left|\left[\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\5&4&-6\\4&3&2\end{array}\right] \right|=(8+18)\hat{i}-\hat{j}(10+24)+\hat{k}(15-16)=26\hat{i}-34\hat{j}-\hat{k}\)

To check that c is perpendicular with a and b, do the dot product between c and a and also c and b and if the result is zero, you're true.

\(\vec{d}.\vec{a}=(26*5)-(34*4)+(6)=0\)  (c perpendicular to a)

\(\vec{d}.\vec{c}=(4*26)-(34*3)-(2*1)=0\) (d perpendicular to c)

One of the important phases in single DNA molecule analysis is stretching or aligning DNA molecules onto a surface using molecular combing methods. Several contemporary investigations, however, have concentrated on -DNA or other big DNA molecules.

The degree to which DNA coils affects whether chromosomal strands are short and thick or long and thin. The DNA in chromosomes is more freely coiled between cell divisions and forms long thin strands called chromatin. That's how long one of your cells' DNA would be if you uncoiled each strand and laid them end to end. If you did this for all of your DNA, the resultant strand would be 67 billion miles long—the equivalent of around 150,000 round journeys to the Moon.

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Option D: the link between the total heat flow and the temperature difference between the sample's Centre and the water at a specific time.

\(Q\:=\:m_sc_s\left(T_{s,i}-T_s\right)\)

\(T_s\right =(T_{s,i}-T_s\right))\)

\(Q=m_wc_w\left(T_w-T_{w,i}\right)\)

\(Q=m_wc_w\left(T_w-T_{w,i}\right)\)

\(T_{diff} =(T_{s}-T_w\right))\)

        = \(T_{s,i} -\frac{Q}{m_{s}C_{s}} -(T_{w,i}\right +\frac{Q}{m_{s}C_{s}} )\)

        =\((T_{s,i} - T_{w,i} )-Q(\frac{1}{m_{s}C_{s}} +\frac{1}{m_{w}C_{w}})\)

Specific time refers to a precise moment in time, often denoted by a particular time and date. It can be expressed in different ways depending on the context, such as using a 24-hour clock or the AM/PM system. Specific time is essential for scheduling events, meetings, and appointments, and for coordinating activities across different time zones. It is also crucial for time-sensitive activities such as transportation, where schedules must be coordinated down to the minute. The concept of specific time is used in many fields, including science, technology, business, and everyday life. In modern times, technologies such as smartphones and computers have made it easier than ever to track and coordinate specific times across the globe.

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The complete question is:

1. we know that the total amount of heat that flows out of the sample and into the water at a specific time is given by LaTeX: \(Q\:=\:m_sc_s\left(T_{s,i}-T_s\right)Q=mscs(Ts,i−Ts)\), where LaTeX: \(T_sTs\) is the temperature of the sample at a specific time and, again, LaTeX: \(T_{s,i}Ts,i\)is the initial temperature of the sample (at time 0). To simplify the math, we may neglect the heat leak term here to say that this is roughly the same amount of heat the flows into the water, so LaTeX: \(Q=m_wc_w\left(T_w-T_{w,i}\right)Q=mwcw(Tw−Tw,i)\), where LaTeX:\(T_wTw\) is the temperature of the water at this same specific time and LaTeX:  is the initial temperature of the water.

In the lab, we will measure both the sample and water temperatures as a function of time, but the important quantity is the difference between these temperatures since this is what drives the heat flow between the center of the sample and the water. Using the above equations (solving for the temperatures of the sample and the water bath at a particular time), we can find the relationship between the total amount of heat flow and the difference in the temperatures of the center of the sample and water at some moment in time. This yields _________________________________.

sample and water at some moment in time. This yields _________________________________.

Group of answer choices

A. \(T_{dif}=T_{s\:}-T_w=\left(T_{s,i}-T_{w,i}\right)-\left(\frac{1}{m_sc_s}-\frac{1}{m_wc_w}\right)Q\)

B \(T_{dif}=T_{s\:}-T_w=\left(T_{s,i}-T_{w,i}\right)+\left(\frac{1}{m_sc_s}+\frac{1}{m_wc_w}\right)Q\)

C.\(T_{dif}=T_{s\:}-T_w=\left(T_{s,i}-T_{w,i}\right)+\left(\frac{1}{m_sc_s}-\frac{1}{m_wc_w}\right)Q\)

D. \(T_{dif}=T_{s\:}-T_w=\left(T_{s,i}-T_{w,i}\right)-\left(\frac{1}{m_sc_s}+\frac{1}{m_wc_w}\right)Q\)

Jonathan needs to maintain a separation of 0.543 mm between the plates to get the desired charge, and a dielectric constant of 92.6 to achieve a separation of 5 mm with a dielectric.

(a) Using the equation Q = CV, where Q is the charge, C is the capacitance, and V is the voltage, we can solve for the capacitance: C = Q/V =\((8.15 x 10^-9 C) / (50 V) = 1.63 x 10^-10 F.\)

Then, using the formula for capacitance of parallel plate capacitors: C = ε0A/d, where ε0 is the permittivity of free space, A is the area of the plates, and d is the separation distance, we can solve for the separation distance: d =\(_{3}OA/C = (8.85 x 10^-12 F/m) x (0.01 m^2) / (1.63 x 10^-10 F) = 0.543 mm.\)

(b) To find the dielectric constant, we can use the formula for capacitance of a parallel plate capacitor with a dielectric: C = εrε0A/d, where εr is the relative permittivity or dielectric constant of the material. Solving for εr, we get: εr = Cd / ε0A = \((1.63 x 10^-10 F)\) x (0.005 m) / \((8.85 x 10^-12 F/m)\) x \((0.01 m^2)\) = 92.6.

Therefore, Jonathan should use a dielectric with a relative permittivity of 92.6 to achieve a separation of 5 mm.

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Answer:

The electric field strength at the location of the metal ball bearing is 1.8 * 10^2 N/C.

Answer:

In the taller, skinnier cylinder, each tick mark represents 2, while in the larger one, each tick mark represents 50.

Explanation:

If you count the tick marks between each big number, then you can divide, and figure out what amount each tick mark represents.

Four are known: s, p, d, and f.

Thank you,

Eddie

Answer: 1.7 kg (D) i think this is correct

Answer:

53,020

Explanation:

Answer:206.3

Explanation:

An electric iron is marked 120 volts and 500 Watts. The units consumed by it in using it for 24 hours can be calculated using the formula:Power (in watts) = Voltage (in volts) x Current (in amperes)P = V x I

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Both types of waves, electromagnetic and mechanical, involve the transfer of energy through a mediumor through space. Option D

One characteristic shared by electromagnetic and mechanical waves is that both types of waves occur as a result of a disturbance. Waves, in general, are a means of transferring energy from one location to another without the physical displacement of particles.

Whether it's an electromagnetic wave or a mechanical wave, there needs to be a disturbance or source of energy that initiates the wave.

In the case of electromagnetic waves, such as light waves or radio waves, the disturbance is the oscillation of electric and magnetic fields. These fields interact with each other and propagate through space, carrying energy with them.

The disturbance can be caused by various sources, such as the acceleration of charged particles or the vibrations of atoms or molecules.

On the other hand, mechanical waves, such as sound waves or water waves, require a medium (substance) to propagate. The disturbance in mechanical waves is the vibration or oscillation of particles in the medium. For example, in a sound wave, the disturbance is the back-and-forth movement of air molecules caused by a vibrating object.

Both types of waves, electromagnetic and mechanical, involve the transfer of energy through a medium (in the case of mechanical waves) or through space (in the case of electromagnetic waves). They both require a disturbance to initiate the wave and share the fundamental property of wave motion. Option D

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Answer:

We're no strangers to love

You know the rules and so do I

A full commitment's what I'm thinking of

You wouldn't get this from any other guy

I just wanna tell you how I'm feeling

Gotta make you understand

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

We've known each other for so long

Your heart's been aching but you're too shy to say it

Inside we both know what's been going on

We know the game and we're gonna play it

And if you ask me how I'm feeling

Don't tell me you're too blind to see

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

No, I'm never gonna give you up

No, I'm never gonna let you down

No, I'll never run around and hurt you

Never, ever desert you

We've known each other for so long

Your heart's been aching but

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

No, I'm never gonna give you up

No, I'm never gonna let you down

No, I'll never run around and hurt you

I'll never, ever desert you

Explanation:

RICK ROLLED

\(speed_{avg} = \frac{Σ\:distance}{ total\: time}\)

So, according to the question:

distance = 90 miles

time = 1h 45min + 15 min + 1h = 3h

\(Therefore:\\ speed_{avg} = \frac{90}{3} mph \\ = \boxed {30 \: mph}\)

Lenses, which are pieces of curved, clear glass, were employed in early telescopes to focus light.

Curved mirrors are used by the majority of telescopes nowadays to collect light from the night sky. Light is focused by a telescope's mirror or lens' shape.

Astronomers use a telescope to observe distant things. Curved mirrors are used by the majority of telescopes, including all large telescopes, to collect and concentrate light from the night sky.

The original telescopes employed lenses, which are simply curved pieces of clear glass, to focus light. The "optics" of a telescope are the mirrors or lenses. Strong telescopes may view objects that are extremely faint and incredibly far away.

Therefore, Lenses, which are pieces of curved, clear glass, were employed in early telescopes to focus light.

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To better understand crash dynamics we have to look at "the laws of motion."

The laws of motion

The laws of motion were introduced by Sir Isaac Newton in 1687 in his book Philosophiæ Naturalis Principia Mathematica ("Mathematical Principles of Natural Philosophy"), which defined the laws of motion, or three fundamental laws that govern the movement of bodies. The laws of motion, according to Newton, govern the motion of an object or a system of objects that interact.

It defines the concepts of force and mass, and the fundamental dynamics of motion.The following are the laws of motion:Every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force. The velocity of an object changes proportional to the force applied to it, and the acceleration of an object is proportional to both its force and its mass. For every action, there is an equal and opposite reaction.

Therefore, these laws are necessary to fully grasp crash dynamics because they explain how objects respond to outside forces that cause them to accelerate or decelerate.

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Angle of deviation can be defined as the angle between the incident ray and the emergent ray when light passes through a prism.

When speaking of Angle of deviations, the incident ray is the ray of light that hitss the prism, while the emergent ray is the ray of light that emerges from the prism.

The angle of deviation is noted to be always greater than zero, and it can be used to calculate the refractive index of the prism.

The angle of deviation can be calculated using δ = i + r - A

δ is the angle of deviation

i is the angle of incidence

r is the angle of refraction

A is the angle of the prism

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Answer:

Explanation:

d = ½at²

d = ½(F/m)t²

d = ½(980/500)5²

d = 24.5 m

Answer:

Explanation:

Let the initial rotational inertia be I and final rotational inertia be I / 6 .

Let the initial angular velocity be ω₁ and final angular velocity be ω₂.

Applying conservation of angular momentum law

I x ω₁ = I / 6 x ω₂

6 ω₁  = ω₂

initial rotational kinetic energy = 1/2 I x ω₁ ²

Final  rotational kinetic energy = 1/2 ( I / 6 ) x ω₂ ²

Final  rotational kinetic energy / initial rotational kinetic energy

= ( 1 / 6 ) x ω₂ ² / ω₁ ²

=  ω₂ ² / 6ω₁ ²

= 36 ω₁ ² / 6ω₁ ²

= 6 .

The ratio will be "6". A further solution is below.

Let,

The initial rotational inertia,

The final rotational inertia,

By applying the conservation of angular momentum law, we get

→ \(1\times \omega_1 = \frac{1}{6}\times \omega_2\)

→    \(6 \ \omega_1 = \omega_2\)

Now,

Initial rotational K.E = \(\frac{1}{2}1\times \omega_1^2\)

Final rotational K.E = \(\frac{1}{2} (\frac{1}{6} )\times \omega_2^2\)

hence,

→ \(\frac{Final \ rotational \ K.E}{Initial \ rotational \ K.E} = \frac{(\frac{1}{6} )\times \omega_2^2}{\omega_1^2}\)

                                  \(= \frac{\omega_2^2}{6 \omega_1^2}\)

                                  \(= 6\)

Thus the answer above is right.

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An annotated bibliography is a list of citations to books, articles, and documents. Each citation is followed by a brief descriptive and evaluative paragraph, the annotation. The purpose of the annotation is to inform the reader of the relevance, accuracy, and quality of the sources cited.

The cue column is typically located on the left-hand side of the page and is used to jot down keywords or questions that serve as cues for recalling the main points of the lecture or reading. The note-taking area is located on the right-hand side of the page and is used to write down detailed notes about the lecture or reading.

The summary section is located at the bottom of the page and is used to summarize the key points of the notes. Overall, the Cornell method is an effective way to organize and retain information during lectures and readings.

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Answer:

im just so focused on the fact that im going to mars :O

The total resistance of the circuit is 49 Ω. The current strength in the circuit, when connected to a voltage source of 56 V, is approximately 1.14 A.

To calculate the total resistance of the circuit, we need to determine the equivalent resistance of the resistors connected in a series.

Given:

R1 = 4 Ω

R2 = 30 Ω

R3 = 10 Ω

R4 = 5 Ω

Calculate the equivalent resistance (RT) of R1 and R2, as they are connected in series:

RT1-2 = R1 + R2

RT1-2 = 4 Ω + 30 Ω

RT1-2 = 34 Ω

Calculate the equivalent resistance (RTotal) of RT1-2 and R3, as they are connected in parallel:

1/RTotal = 1/RT1-2 + 1/R3

1/RTotal = 1/34 Ω + 1/10 Ω

1/RTotal = (10 + 34) / (34 * 10) Ω

1/RTotal = 44 / 340 Ω

1/RTotal ≈ 0.1294 Ω

RTotal ≈ 1 / 0.1294 Ω

RTotal ≈ 7.74 Ω

Calculate the equivalent resistance (RTotalCircuit) of RTotal and R4, as they are connected in series:

RTotalCircuit = RTotal + R4

RTotalCircuit = 7.74 Ω + 5 Ω

RTotalCircuit ≈ 12.74 Ω

Therefore, the total resistance of the circuit is approximately 12.74 Ω.

To determine the current strength (I) when connected to a voltage source of 56 V, we can use Ohm's Law:

I = V / RTotalCircuit

I = 56 V / 12.74 Ω

I ≈ 4.39 A

Therefore, the current strength in the circuit, when connected to a voltage source of 56 V, is approximately 4.39 A (or 1.14 A, considering significant figures).

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Answer:

Electric energy produced in the month of April is 18 kWh

Explanation:

Given

P = 1200 W = 1.2 kW      

Use time per day = 30 minutes = 1 / 2 hrs

We know,

No. of days in April = 30 days

Total time iron being used

T = 1 / 2 * 30 = 15 hrs

We know,

Energy consumed = Pt

Substituting the value of P and T

= 1.2 kW * 15 hr

= 18 kWh    

Hence,

Electric energy produced in the month of April is 18 kWh

equal in magnitude but opposite in direction

It will decrease the capacitance. this effect will be produced on a capacitor if the separation between the plates is increased. Hence option D is correct.

The capacity of a capacitor to store electric charge is determined by its capacitance. It is inversely proportional to the gap or distance between the capacitor plates and directly proportional to the area of the capacitor plates.

The capacitance of a capacitor reduces when the distance between the plates is increased. Because of the weaker electric field and decreased capacity to store charge caused by the increased gap between the plates, this happens. The capacitor's capacitance therefore drops.

As stated in option D, a capacitor's capacitance will decrease as the distance between its plates increases.

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The instantaneous current at the same moment in the RL circuit can be expressed as I = Imaxsin(150), where Imax represents the maximum current.

1. Given that the instantaneous voltage at a specific moment in the RL circuit is V = Vmaxsin(150).

2. We can express the current at the same moment using Ohm's Law, which states that V = IR, where V is voltage, I is current, and R is resistance.

3. In an RL circuit, the resistance is represented by the symbol R, and it is typically associated with the resistance of the wire or any resistors in the circuit.

4. However, the given equation does not explicitly mention resistance.

5. Since we are considering an RL circuit, it suggests the presence of inductance (L) along with resistance (R).

6. In an RL circuit, the voltage across the inductor (VL) can be expressed as VL = L(di/dt), where L is the inductance and di/dt represents the rate of change of current.

7. At any given instant, the total voltage across the circuit (V) can be expressed as the sum of the voltage across the resistor (VR) and the voltage across the inductor (VL).

8. Therefore, V = VR + VL.

9. Since the given equation represents the instantaneous voltage (V), we can deduce that V = VR.

10. By comparing V = VR with Ohm's Law (V = IR), we can conclude that I = Imaxsin(150), where Imax represents the maximum current.

The specific values of Vmax, Imax, and the phase angle have not been provided in the question, so we are working with the general expression.

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1. Ohm's law shows the relationship between:

Formula: voltage = current x resistance

2. The negative charge on the hairbrush will induce a positive charge on your hair. As a result, your hair is going to be attracted to the hairbrush (and repelled by other strands of hair.)

3. V = IR, so if the resistance of the current increases, and the voltage of the current stays the same, there is as a result, going to be less current.

Best of Regards!

Answer:

Break down small pebbles and sediments, like sand

Break down large rocks like mountains

Explanation:

Answer:

update your initial design for the heat shield

Solving Gaussian integration with polar coordinates involves converting the integral into polar coordinates, finding the mean and standard deviation of the function, substituting them into the Gaussian distribution formula, and integrating it over the range of the function in polar coordinates.

Gaussian integration with polar coordinates is the process of finding the integral of a function using polar coordinates and the Gaussian distribution. The polar coordinate system is a two-dimensional coordinate system that uses the radius and angle to locate a point in a plane. The Gaussian distribution is a probability distribution that is often used to describe random variables in statistics.
To solve the Gaussian integration with polar coordinates, we need to convert the integral into polar coordinates. The conversion is done using the following equations:
x = r cos(θ)
y = r sin(θ)
r² = x² + y²
θ = tan⁻¹(y/x)
Once the integral is converted into polar coordinates, we can use the Gaussian distribution to solve it. The Gaussian distribution is given by the following formula:
f(x) = (1/σ√(2π))e^(-(x-μ)²/2σ²)
where μ is the mean of the distribution and σ is the standard deviation. To use this formula, we need to first find the mean and standard deviation of the function we are integrating.
After finding the mean and standard deviation, we can substitute them into the Gaussian distribution formula and integrate it over the range of the function in polar coordinates. The result of the integration will be the value of the integral.
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The minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.

To maintain equilibrium, the torques acting on the meter stick must balance each other. The torque is given by the formula:

τ = r * F * sin(θ)

where τ is the torque, r is the distance from the pivot point to the point where the force is applied, F is the force applied, and θ is the angle between the force vector and the lever arm.

In this case, the meter stick is in equilibrium when the torques on both sides of the pivot point cancel each other out. The torque due to the weight of the meter stick itself is acting at the center of mass of the meter stick, which is at the 50.0 cm mark.

Let's denote the mass to be placed on the 0.00 cm mark as M. The torque due to the weight of M can be calculated as:

τ_M = r_M * F_M * sin(θ)

where r_M is the distance from the pivot point to the 0.00 cm mark (which is 30.0 cm), F_M is the weight of M, and θ is the angle between the weight vector and the lever arm.

Since the system is in equilibrium, the torques on both sides of the pivot point must be equal:

τ_M = τ_stick

r_M * F_M * sin(θ) = r_stick * F_stick * sin(θ)

Substituting the given values:

30.0 cm * F_M = 20.0 cm * (0.0400 kg * 9.8 m/s^2)

Solving for F_M:

F_M = (20.0 cm / 30.0 cm) * (0.0400 kg * 9.8 m/s^2)

F_M = 0.0264 kg * 9.8 m/s^2

F_M = 0.25872 N

Finally, we can convert the force into mass using the formula:

F = m * g

0.25872 N = M * 9.8 m/s^2

M = 0.0264 kg

Therefore, the minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.

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