A toaster is listed as 1560 w. when it is plugged into a 120 v circuit and starts to make toast, how many amperes will it draw

To determine the corresponding percentage error in the period, we can use the formula for the period of the pendulum:

Let's denote the original length of the pendulum as l0 and the new length as l1, where l1 = l0 + Δl. The corresponding percentage error in the period can be calculated as follows:

Percentage error in period = (ΔT / T) * 100

First, let's find the value of T0, the original period:

Next, let's find the value of T1, the new period:

Now, let's calculate the change in period, ΔT:

ΔT = T1 - T0

To find the corresponding percentage error in the period, we divide ΔT by T0 and multiply by 100:

Percentage error in period = (ΔT / T0) * 100

Simplifying the expression:

Now, let's calculate the percentage error in the period using the given information that the length increases by 1% (Δl = 0.01l0):

Percentage error in period = [(sqrt(l0 + 0.01l0) - sqrt(l0)) / sqrt(l0)] * 100

Therefore, the corresponding percentage error in the period is approximately 0.49876%.

To find how much time the clock will lose each day, we need to calculate the change in the period and convert it to minutes:

Change in period (ΔT) = T1 - T0

To convert ΔT to minutes, we need to multiply it by the number of minutes in one period (T0):

Now, let's calculate the time lost per day using the given values:

Time lost per day = ΔT * (24 / T0) * 60

Since the original length of the pend

ulum is 1 meter (l0 = 1) and the length increases by 10 centimeters (Δl = 0.1), we can substitute these values:

Time lost per day = [(sqrt(1 + 0.1) - sqrt(1))] * (24 / sqrt(1)) * 60

Therefore, the clock will lose approximately 72 minutes each day.

The pendulum is an object that is attached to a rope and can swing freely and periodically which is the basis for the work of an ancient wall clock that has a swing. A history explains that Ibn Yunus was the first astronomical figure to use a pendulum as a means of measuring time in the tenth century

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Answer:

This difference is kept to a minimum because the resistance in transformers is a few tens of ohms and the resistance of modern voltmeters is of the order of MΩ.

Explanation:

A voltmeter is built by a galvanometer and a resistance in series, this set is connected in parallel to the resistance where the voltage is to be measured, therefore the voltage is divided between the voltmeter and the element to be measured, consequently the measured voltage It is less than the calculated one, since for them the resistance of the voltmeter is assumed infinite.

This difference is kept to a minimum because the resistance in transformers is a few tens of ohms and the resistance of modern voltmeters is of the order of MΩ.

The computation of the work done is gotten by multiplying the force and distance whish will be A. 30J.

It should be noted that the formula for calculating work done is given as:

Work = Force × Distance

where,

Force = 15N

Distance = 2m

Therefore, work done will be:

= Force × Distance

= 15N × 2m

= 30 Joules.

In conclusion, the work done is 30 Joules.

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Answer: 2 kg .

Explanation:

The integral of force with respect to time represents the work done by the force on an object.

The integral of force with respect to time is denoted as ∫F dt, where F represents the force applied to an object and dt represents an infinitesimally small change in time. The integral of force with respect to time represents the accumulation of work done by the force over a given time interval.

To understand this concept, consider a simple scenario where the force applied to an object is constant. In this case, the integral simplifies to ∫F dt = F∫dt = FΔt, where Δt represents the change in time.

The product of the force and the change in time, FΔt, represents the work done by the force on the object. Work is defined as the transfer of energy from one object to another due to the application of force. It is measured in units of energy, such as joules (J).

In more complex scenarios where the force applied to an object varies with time, the integral of force with respect to time accounts for these changes and calculates the total work done by the force over the given time interval.

In summary, the integral of force with respect to time represents the work done by the force on an object and is a fundamental concept in the study of mechanics and energy.

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Answer:

d. Two soccer balls that are touching each other

Explanation:

Let \(m_1\) be the mass of a tennis ball, \(m_2\) is the mass of a soccer ball.

As the mass of a soccer ball is more than the mass of a tennis ball, so

\(m_2 > m_1\)

Let \(d_1\) be the distance between the centers of both the balls near each other and \(d_2\) be the distance between the centers of both the balls touching each other.

So, \(d_2 > d_1\)

The gravitational force, F, between the two objects having masses M and m and separated by distance d is

\(F=\frac{GMm}{d^2}\)

Where G is the universal gravitational constant.

As, the gravitational force is directly proportional to the product of both the masses and inversely proportional to the square of the distance between them,  so selecting the larger mass (\(m_2\), soccer ball) separated by a lesser distance (\(d_2\), touching) to get more gravitational force.

Therefore, there will be a larger gravitational force between them when two soccer balls touching each other.

Hence, option (d) is correct.

Answer:

Two soccer balls that are touching each other

Explanation:

I got it right on the test.

The amount of lateral strain in a tension member can be calculated using Poisson's ratio.

To calculate the lateral strain, we can use the equation: ε_lateral = -ν * ε_longitudinal

Where:

ε_lateral = Lateral strain

ν = Poisson's ratio

ε_longitudinal = Longitudinal strain

Poisson's ratio (ν) is a material property that describes the ratio of lateral strain to longitudinal strain when a material is subjected to an axial load. It is defined as the negative ratio of the transverse strain to the longitudinal strain.

Calculating the lateral strain involves determining the longitudinal strain, which can be calculated using the equation:ε_longitudinal = ΔL / L

Where:

ε_longitudinal = Longitudinal strain

ΔL = Change in length of the tension member

L = Original length of the tension member

Once the longitudinal strain is calculated, we can use Poisson's ratio to determine the lateral strain by multiplying the longitudinal strain by the negative value of Poisson's ratio.

It is important to note that the lateral strain is typically very small compared to the longitudinal strain in a tension member, especially for materials with a low Poisson's ratio.

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Answer:

F / m = a = G M / R^2            formula for gravitational attraction

a = ω^2 R   formula for centripetal force for an object with radius R

G M / R^2 = ω^2 R equating accelerations

ω = (G M / R^3)^1/2

ω = 2 pi f = 2 pi / P      for circular motion

P = 2 pi (R^3 / (G M))^1/2

R^3 / (G M) = (1.738E6)^3 / (6.67E-11 * 7.36E22)  = 1.07E6

P = 6.28 * 1034 sec = 6500 sec = 1.80 hrs

A. There is zero net force acting on the plane.

If two identical airplanes are loaded such that one has the CG at the forward limit, and the other then the correct answer is: CG will not affect speed.

The position of the center of gravity (CG) affects the stability and control of an airplane, but it does not directly affect its speed. The speed of an airplane is determined by factors such as engine power, aerodynamic design, and external conditions (e.g., wind). The position of the CG primarily influences the longitudinal stability of the aircraft and its tendency to pitch up or down.

Therefore, the speed of the airplanes, in this case, would not be affected by the position of the CG. The airplane with the CG at the forward or aft limit may have different stability characteristics, but their speeds would not be inherently different due to CG placement alone.

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Answer:

30.95 cm

Explanation:

The focal length f, the object distance do, and the image distance di are related with the following equation:

So, replacing the values, we get:

Then, solving for di, we get:

Therefore, the image distance is 30.95 cm

its true

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Answer:

The beetles consume the trees as food. So, if the trend continues, it’s likely that the trees will die out in the coming years

Explanation:

The magnitude of current flowing through the conductance is:
(a) 0.2 A.

(b) 100 A.

(c) 10 e^(-2t) A.

(d) 0.5 sin(5t) A.

(e) 0 A.

To determine the magnitude of the current flowing through a conductance, we need to use Ohm's Law, which states that the current (I) flowing through a conductor is equal to the voltage (V) across it divided by its conductance (G).

Ohm's Law equation: I = V / G

Given the voltage across the conductance in each case, we can calculate the current magnitude using the given conductance values.

(a) Voltage = 2 mV, Conductance = 10 mS (10 ms)

I = (2 mV) / (10 mS)

I = 0.2 A

The magnitude of the current flowing through the conductance is 0.2 A.

(b) Voltage = -1 V, Conductance = 10 mS (10 ms)

I = (-1 V) / (10 mS)

I = -100 A

The magnitude of the current flowing through the conductance is 100 A.

(c) Voltage = 100 e^(-2t) V, Conductance = 10 mS (10 ms)

I = (100 e^(-2t)) / (10 mS)

I = 10 e^(-2t) A

The magnitude of the current flowing through the conductance is 10 e^(-2t) A.

(d) Voltage = 5 sin(5t) V, Conductance = 10 mS (10 ms)

I = (5 sin(5t)) / (10 mS)

I = 0.5 sin(5t) A

The magnitude of the current flowing through the conductance is 0.5 sin(5t) A.

(e) Voltage = 0 V, Conductance = 10 mS (10 ms)

I = (0 V) / (10 mS)

I = 0 A

The magnitude of the current flowing through the conductance is 0 A.

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A fluid's temperature drops, and this has a number of noticeable impacts. First, the fluid thickens and flows less freely as its viscosity increases in general. Second, when the molecules draw closer together, the fluid tends to become denser.

This may lead to modifications like the freezing of water into ice. Third, phase changes may take place, resulting in the fluid solidifying or condensing into a gas. Finally, thermal contraction occurs, which causes the fluid's volume to decrease.

This understanding of the behaviour and characteristics of fluids under various situations depends heavily on these temperature-dependent modifications.

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Answer: C

Explanation: I just took the test

Answer:

C. Light acts as particles, knocking electrons off the surface it

strikes.

Explanation:

Based on the given information, the type of boundaries these two new plates would share with each other and the Arabian Plate are divergent boundaries.

A geologist is a scientist who studies the solid, liquid, and gaseous matter that constitutes Earth and other planets.

Geologists have observed that a portion of Africa is breaking away from the main continent. This is happening because the African Plate is in the process of splitting up into two parts. Scientists have named the two new tectonic plates the Nubian Plate and Somalian Plate. Both of these plates are not only moving away from each other but also away from the Arabian Plate.

There are 3 types of boundaries.

At convergent boundaries, the two tectonic plates comes closer to each other.

At divergent boundaries,  the plates move away from each other.

At transform boundaries,  the plates are moving parallel to their boundary.

Based on this, all boundaries will be divergent boundaries.

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Answer:

Thermal energy, or heat, is the energy that comes from the movement of atoms and molecules in a substance. Heat increases when these particles move faster. Geothermal energy is the thermal energy in the earth. Motion energy is energy stored in the movement of objects. so the answer is thermal energy

The acceleration we calculated is negative, it means the force applied is not enough to pull Block A upward. The 10 lb force is insufficient to overcome the 20 lb weight of Block A, and thus, it is impossible to pull the cord down 4 ft under the given conditions.

To determine the time needed to pull the cord at B down 4 ft starting from rest, we need to consider the forces acting on the system and use Newton's second law of motion. We'll assume that the pulleys and cords are frictionless and massless.

Given:
- Force applied to the cord, F = 10 lb
- Block A weight, W = 20 lb
- Distance to pull the cord down, d = 4 ft

1. Find the acceleration of the system.
Newton's second law states that F = ma, where F is the net force acting on an object, m is the mass, and a is the acceleration.

For this system, the net force acting on Block A is the difference between the applied force and the weight of Block A: F_net = F - W.
F_net = 10 lb - 20 lb = -10 lb (negative sign indicates the force is acting upward).

2. Calculate the mass of Block A.
To find the mass of Block A, use the formula W = mg, where W is the weight, m is the mass, and g is the acceleration due to gravity (approximately 32.2 ft/s²).
m = W / g
m = 20 lb / 32.2 ft/s² ≈ 0.621 lb·s²/ft

3. Calculate the acceleration of Block A.
Now, we can use F_net = ma to calculate the acceleration of Block A.
a = F_net / m
a ≈ -10 lb / 0.621 lb·s²/ft ≈ -16.1 ft/s²

4. Determine the time needed to pull the cord down 4 ft.
Use the equation of motion: d = 0.5 * a * t², where d is the distance, a is the acceleration, and t is the time.
4 ft = 0.5 * (-16.1 ft/s²) * t²
Solving for t:
t² ≈ 4 ft / (-8.05 ft/s²)
t² ≈ -0.4968 s²

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According to the account by the Greek merchant Cosmas in Source 6.4, Axum was a major source of the commodity known as ivory for the Roman Empire.

Axum, an ancient kingdom located in present-day Ethiopia, was known for its abundant supply of ivory during the time of the Roman Empire. The Greek merchant Cosmas, in his account, highlights the importance of Axum as a major source of ivory for the Roman Empire.

Ivory, which is derived from the tusks of elephants, was highly valued and sought after in ancient times. It was used for various purposes, including decorative art, jewelry, and luxury items. The Roman Empire had a strong demand for ivory due to its aesthetic appeal and symbol of wealth and status.

Axum's geographical location, situated in the eastern part of Africa, provided access to regions where elephants were abundant. The kingdom established trade networks and commercial routes that allowed them to obtain ivory from the interior regions of Africa and export it to the Roman Empire.

The Greek merchant Cosmas, as a participant in the trade between the Roman Empire and Axum, likely witnessed the extensive trade of ivory and recognized Axum's significant role as a major supplier of this valuable commodity to the Roman Empire.

Therefore, according to the account by the Greek merchant Cosmas in Source 6.4, Axum was a major source of the commodity known as ivory for the Roman Empire.

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The stopcock is a valve which is used to regulate the flow of liquid or gas in a system. In the given problem, two bulbs are connected through a stopcock. The first bulb contains 2.64 L of helium gas at a pressure of 6.06 atm, and the second bulb contains 7.11 L of methane gas at a pressure of 2.96 atm. When the stopcock is opened, the gases will mix to form a final mixture. We need to determine the final pressure of the mixture.

To solve this problem, we will use the ideal gas law, which relates the pressure, volume, temperature, and number of moles of a gas. The ideal gas law is given as:PV = nRTWhere,P = Pressure of the gasV = Volume of the gasn = Number of moles of the gasR = Universal gas constantT = Temperature of the gasWe can rearrange the above equation as:P = nRT/VWe can assume that the temperature of the gas remains constant.

Therefore, the ideal gas law can be expressed as:P₁V₁ = n₁RT and P₂V₂ = n₂RTwhere,P₁ = Pressure of Helium gasV₁ = Volume of Helium gasn₁ = Number of moles of Helium gasP₂ = Pressure of Methane gasV₂ = Volume of Methane gasn₂ = Number of moles of Methane gasn = n₁ + n₂where, n is the total number of moles of the mixture.To find the final pressure of the mixture, we can use the expression:

P = nRT/(V₁+ V₂)Putting the values of pressure, volume, and number of moles in the above equation, we get:P = [(n₁ + n₂) x R x T]/(V₁+ V₂)Now, we need to find the number of moles of each gas. The number of moles of a gas can be calculated as:n = PV/RTUsing the above expression, we can find the number of moles of Helium gas and Methane gas.

The number of moles of Helium gas:n₁ = P₁V₁/RT = (6.06 atm x 2.64 L)/(0.0821 L atm/K mol x 298 K) = 0.267 molThe number of moles of Methane gas:n₂ = P₂V₂/RT = (2.96 atm x 7.11 L)/(0.0821 L atm/K mol x 298 K) = 0.829 molNow, we can find the total number of moles of the mixture:n = n₁ + n₂ = 0.267 mol + 0.829 mol = 1.096 molPutting the values of pressure, volume, temperature, and number of moles in the expression for pressure, we get:

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The resistance of the battery if a current of 23A flows through a circuit and the battery produces a potential difference of 9V is 0.39 ohms.

Resistance is the force that tends to oppose motion. It is measured in ohms. The resistance of a battery can be calculated using the following formula;

V = IR

Where;

According to this question, a current of 23A flows through a circuit and the battery produces a potential difference of 9V. The resistance can be calculated as follows:

R = V/I

R = 9/23

R = 0.39ohms

Therefore, 0.39ohms is the resistance of the battery.

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Answer:

Meditation and Positive Thinking

Explanation:

Answer:

The value is \(c = 8 \ km \)

Explanation:

From the question we are told that

The distance of friends house from your point is \(a = 10 \ km\)

The distance of your friends street from your street is \(b = 6 \ km \ in the \ direction \ towards \ the \ north\)

The diagram illustrating this question is shown on the first uploaded image

From the diagram we can apply by Pythagoras theorem as follows

\(a^2 = b^2 + c^2\)

=>     \(c  =  \sqrt{^2 -  b^2}\)

=>     \(c  =  \sqrt{ 10^2 -  6^2}\)

=>     \(c  = 8 \  km \)

By applying Pythagorean's theorem, you would have to ride a distance of 8 km before turning North, in order to get to your friend’s house.

In order to determine the amount of distance that you would have to ride before turning North, we would apply Pythagorean's theorem.

From the question, we can deduce the following points:

Thus, we would have to find the adjacent side of the right-angle triangle.

Mathematically, Pythagorean's theorem is given by this formula:

x² + y² = z²

6² + y² = 10²

36 + y² = 100

y² = 100 - 36

y = √64

y = 8 km.

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Answer:

2292W

Explanation:

Use the formula for energy first:

\(E=D*M\)

Where E = Energy || D = Distance || M = Mass.

Solve that equation:

E = 5 * 5500    ==>     27500J

To find power, divide energy per time:

27500J / 12s =~  2292W

Did it in a rush, any problems message me

Independent variable is Thermal Energy Transfered

Dependent variable is Types of Material

used

First let us understand what does an independent and dependent variable means

Independent variable is The variable that doesn't changes with the change in other variables and they are not affected by their changes.

Dependent variable are The variable

that changes with the change in other variables and they are affected by their changes

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Answer:

Explanation:

1. mass of each sample

2. type of material used

3. temperature over time

edge 2022

Explanation:

if this is wrong sorry but I think it is Infrared

answer:

earth’s surface absorbs the sunlight photons and reflects infrared photons

explanation:

this is edmentum's exact answer :)

Let's call x the vinegar.

• The first brand contains 7% vinegar, this can be expressed as ,0.07x,.

• The second brand contains 12% vinegar, this can be expressed as ,(210-x)*0.12, because the total amount is 210 mL.

• The chef wants to make 210mL which is 11% vinegar, this is going to be the other side of the equation.

Let's express the equation.

Now we solve for x.

The vertical location of the mirror relative to the level of your eyes is at the same height as yours. The angle eyes make with the horizontal when you look at the buckle is approximately 18.91 degrees. If you now move backward until you are 6.0 m from the mirror, you will no longer see the reflection of the buckle.

A)

Given:

Distance from eyes to mirror (d₁) = 2.2 m

The vertical distance from eyes to belt buckle (h) = 0.70 m

Let's assume the vertical location of the mirror relative to your eyes is h₂.

d₁ / (h - h₂) = d₁ / h

Cross-multiplying the equation gives:

h - h₂ = h

Simplifying further:

h₂ = 0

Therefore, the vertical location of the mirror relative to the level of your eyes is at the same height as your eyes.

B)

using trigonometry, we can find the angle θ:

tan(θ) = (h - h₂) / d₁

tan(θ) = 0.70 m / 2.2m

θ = 18.91 degrees

Therefore, the angle your eyes make with the horizontal when you look at the buckle is approximately 18.91 degrees.

C) If you now move backward until you are 6.0 m from the mirror, you will no longer see the reflection of the buckle. The reason for this is that the angle of incidence and the angle of reflection will change.

The angle eyes make with the horizontal when you look at the buckle is approximately 18.91 degrees. on moving backward until you are 6.0 m from the mirror, you will no longer see the reflection of the buckle.

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