a 12 v potential difference is applied across a parallel combination of four 7.0 w resistors. the total current in the circuit is ______ a.

Answers

Answer 1

The total current in the circuit is approximately 6.8 A.

To find the total current in the circuit, we can use Ohm's Law, which states that current (I) equals potential difference (V) divided by resistance (R), or I = V/R.

In this case, we have four resistors in parallel, so the total resistance (R_total) is given by the formula:

1/R_total = 1/R1 + 1/R2 + 1/R3 + 1/R4

Plugging in the values given, we get:

1/R_total = 1/7 + 1/7 + 1/7 + 1/7
1/R_total = 4/7
R_total = 7/4 ohms

Now we can use Ohm's Law to find the total current (I_total):

I_total = V/R_total
I_total = 12/7/4
I_total = 6.8 amps (rounded to two decimal places)

It should be noted that this calculation makes the assumption that the entire system is resistive and that no additional variables, such as internal resistance or reactive components, are present.

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Related Questions

What is permeability?
a. pore spaces in a body of earth material that are not interconnected
b. pore spaces that are interconnected to allow the movement of air or water
c. it is a term that is synonymous with
d. the water table the ability of water to move upwards against the pull of gravity
Question 3 0.34 pts
What is the capillary fringe?
a. The capillary fringe is what supplies water to a well.
b. material above the water table that is moistened by the rise of capillary water against gravity
c. The capillary fringe is what provides water to streams when they are dry.
d. a zone under Earth's surface where air (and sometimes a mixture of air and water) fills in the openings between soil particles and rock material

Answers

What is permeability? b. pore spaces that are interconnected to allow the movement of air or water. Permeability is a measure of the ability of a material to allow the flow of fluids through it.

It is a measure of the interconnectedness of the pore spaces in a material. Materials with high permeability allow fluids to flow through them more easily than materials with low permeability.

What is the capillary fringe? b. material above the water table that is moistened by the rise of capillary water against gravity. The capillary fringe is the zone of soil or rock that is saturated with water due to capillary action.

Capillary action is the ability of water to move upwards against gravity through the narrow spaces between soil particles. The capillary fringe is typically a few centimeters thick, but it can be thicker in some soils.

Permeability is a measure of the ability of a material to allow the flow of fluids through it.

The capillary fringe is the zone of soil or rock that is saturated with water due to capillary action.

Permeability is important in a variety of applications, including groundwater recharge, well design, and the construction of dams and levees. The capillary fringe is important for plant growth, as it provides water to plants that are not located directly above the water table.

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**easy**how long would i t take a 200w motor lift a 1.5kg box to a height of 30m?

please include working out

Answers

It would take approximately 2.205 seconds for a 200W motor to lift a 1.5kg box to a height of 30m.

We can calculate how long it will take a 200W motor to raise a 1.5kg box 30 metres using the work and power computation.

In order to calculate work (W), multiply the applied force (F) by the distance travelled (d):

W = F * d

The rate at which work is completed is known as power (P), which may be determined using the formula: P = W /t.

t is the amount of time spent.

We are aware that the box's mass (m) is 1.5 kg, its height (h) is 30 metres, and its power (P) is 200 W.

Calculate the work that has been done first:

Work (W) is equal to m * g * h.

Where g is the gravitational acceleration (about 9.8 m/s2):

W = 1.5 kilogramme * 9.8 m/s2 * 30 m

W = 441 Joules.

The power formula can then be used to determine the time (t):

2.205 seconds pass between P = W /t 200W and 441J /t.

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The density of balsa wood is 0.170 g/cm3.  What is the mass if the volume is 12.0 mL?

Answers

Answer:

The answer is 2.04 g

Explanation:

The mass of a substance when given the density and volume can be found by using the formula

mass = Density × volume

From the question

density = 0.17 g/cm³

1 mL = 1 cm³

12 mL = 12 cm³

So we have

mass = 0.17 × 12

We have the final answer as

2.04 g

Hope this helps you

A direct current of 3.0 A flows through a circuit consisting of a battery and a 6.0 A resistor. Calculate the potential difference across the resistor. a​

Answers

Question :-

A Direct Current of 3.0 A flows through a Circuit consisting of a Battery and a 6.0 Ohm's Resistor. Calculate the Potential Difference across the Resistor .

Answer :-

Potential Difference is 18 Volt's .

Explanation :-

As per the provided information in the given question, we have been given that the Current of the Device is 3.0 Ampere . The Resistance is given as 6.0 Ohm's . And, we have been asked to calculate the Potential Difference .

As we know ,

V = I R

Where ,

V denotes to Potential DifferenceI denotes to CurrentR denotes to Resistance

Therefore , by Substituting the given values in the above Formula :-

\( \sf {\dag \: \: \: Potential \: Difference \: = \: Current \: \times \: Resistance} \)

\( \sf {\Longrightarrow \: \: \: \sf Potential \: Difference \: = \: 3.0 \: \times \: 6.0} \)

\( \sf {\Longrightarrow \: \: \: \sf Potential \: Difference \: = \: 3 \: \times \: 6} \)

\( \bf {\Longrightarrow \: \: \: \bf {Potential \: Difference \: = \: 18 \: }} \)

Hence :-

Potential Difference = 18 Volt's .

\( \underline {\rule {210pt}{4pt}} \)

Additional Information :-

\( \Longrightarrow \: \: \: \sf {Voltage \: = \: Current \: \times \: Resistance} \)

\(\Longrightarrow \: \: \: \sf {Current \: = \: \dfrac {Voltage}{Resistance} } \)

\(\Longrightarrow \: \: \: \sf {Resistance \: = \: \dfrac {Voltage}{Current} } \)

\( \underline {\rule {210pt}{4pt}} \)

Note :-

Kindly Scroll the Screen from Right to Left for Better View .

Why are the following wave functions not physically possible for all values of x ? (a)ψ(x) = Aeˣ(b)ψ(x) - A tan x

Answers

Both wave functions are not physically possible for all values of x due to the exponential growth in the first case and the singularities in the second case. It is important to choose physically valid wave functions that do not exhibit these behaviors in order to accurately describe particles in quantum mechanics.

The given wave functions are not physically possible for all values of x due to the following reasons:
(a) ψ(x) = Aeˣ:
In this wave function, the exponential term eˣ grows exponentially as x increases. This means that as x approaches infinity, the wave function also grows infinitely. Physically, this implies that the particle described by this wave function would have an infinite probability of being found at larger and larger values of x, which is not possible. Therefore, this wave function is not physically possible for all values of x.
(b) ψ(x) = A tan x:
The tangent function has periodic singularities at certain values of x, such as x = π/2, 3π/2, 5π/2, and so on. At these singularities, the tangent function goes to positive or negative infinity. Physically, this would imply that the particle described by this wave function would have an infinite probability of being found at these singularities, which is not physically possible. Therefore, this wave function is not physically possible for all values of x.
In summary, both wave functions are not physically possible for all values of x due to the exponential growth in the first case and the singularities in the second case. It is important to choose physically valid wave functions that do not exhibit these behaviors in order to accurately describe particles in quantum mechanics.

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A train traveled 210 miles in 3.5 hours to its first stop. it then continued on traveling another 130 miles in 2.5 hours. what was the average speed of the train for the entire journey? round to the nearest tenth, if necessary. responses
a. 52.0 mph
b. 56.0 ​mph
c. 56.7 ​mph
d. 60.0 ​mph

Answers

Answer: 210 3.5 = 60mph

130 2.5 = 52 mph

60+52/2= 56 mph average speed of the train

How do you find the average speed in physics?

The average speed is calculated by dividing the total distance traveled by the time interval. For example, someone who takes 40 minutes to travel 20 miles north and then 20 miles south (ending up in the same place) has an average speed of 40 miles divided by 40 minutes, or 1 mile per minute (60 mph) .

Is average speed the same as velocity?

Average speed is the ratio of distance (scalar) to time. Speed ​​does not know direction. Speed, on the other hand, is a vector, it is directional. Velocity is the rate of change of position.

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The average speed of the train for the entire journey is 56 mph. Thus, option b is correct.

How do you find the average speed in physics?

The average speed is calculated by dividing the total distance traveled by the time interval. For example, someone who takes 40 minutes to travel 20 miles north and then 20 miles south (ending up in the same place) has an average speed of 40 miles divided by 40 minutes, or 1 mile per minute (60 mph) .

Is average speed the same as velocity?

Average speed is the ratio of distance (scalar) to time. Speed ​​does not know direction. Speed, on the other hand, is a vector, it is directional. Velocity is the rate of change of position.

\(\mathrm{Average speed = \dfrac{Speed_1 + Speed_2}{2} }\)

210/3.5 = 60mph

130/2.5 = 52 mph

(60+52)/2= 56 mph average speed of the train

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which detection method or methods measure the gravitational tug of a planet on its star, allowing us to estimate planetary mass? (a) the transit method only (b) the doppler method only (c) the astrometric and doppler methods

Answers

Detection methods to measure the gravitational tug of a planet on its star that is allowing us to estimate planetary mass is : (c) the astrometric and doppler methods.

Method for finding extrasolar planets and brown dwarfs from radial-velocity measurements through observation of doppler shifts in the spectrum of the planet's parent star is called doppler spectroscopy.

It is also known as the radial-velocity method or the wobble method.

Method that detects the motion of a star by making precise measurements of its position on the sky is called astrometry. This technique can be used to identify the planets around a star by measuring small changes in the position of the stars.

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A 100 kg cyclist travels at 4.5 m/s. A 50 kg gorilla is dropped straight down onto her. What is the new speed of the system?

Answers

Mass of cyclist = 100 kg

Mass of gorilla = 50 kg

Initial speed = 4.5 m/s

Let Final speed = s

100 x 4.5 = (100 + 50) x s

450 = 150s

S = 450/150

S = 3

The new speed is 3m/s

1. 50 W and 100 W lamps are designed for the same voltage. Which lamp has the higher filament resistance and why?
2. At a voltage of 4 V, 300 mA flows through the bulb. What is the work done by the electric current in 5 min?
3. The label on the lamp says 100 W, 220 V. Calculate the resistance of the lamp?
4. What is the work done by the motor of a floor polisher in 25 min with a voltage of 220 V, a current rating of 1,25 A and a motor efficiency of 80%?
help

Answers

Answer:

Look below.

Explanation:

1.) The resistance of a light bulb filament is effected by both length and cross-sectional area. Thicker wires have less resistance. A 120-Watt bulb has a greater current and a smaller resistance. Thus, a 120-Watt bulb must have a thicker filament than a 60-Watt bulb (assuming the lengths of the filaments are identical). We also think of lightbulbs in terms of their power ratings in watts. Let us compare a 25-W bulb with a 60-W bulb. Since both operate on the same voltage, the 60-W bulb must draw more current to have a greater power rating. Thus the 60-W bulb’s resistance must be lower than that of a 25-W bulb. If we increase voltage, we also increase power. For example, when a 25-W bulb that is designed to operate on 120 V is connected to 240 V, it briefly glows very brightly and then burns out. Precisely how are voltage, current, and resistance related to electric power?

2.) Energy transferred = 120 × 2 = 240 J. This equation can be rearranged to V = E ÷ Q. So voltage is energy transferred divided by charge.

3.) Power= Voltage × Current

4.) W=Pt

what is the origin of the rings of uranus? a uranian moon was ripped apart by tidal forces. they are from material captured by uranus.

Answers

The origin of the rings of Uranus took place from the collisional fragmentation of several moons that once were revolving around the planet.

The collisional fragmentation happened due to the moon ripped apart by tidal forces and that material captured by Uranus. After the moons that broke into several particles, they survived as narrow and dense rings around the planet.

The rings of Uranus usually consists of rock and ice, in very small diameters. Uranus is known to have 13 rings. The outermost ring of Uranus appears blue. The rings of Uranus are thin, dark and narrow compared to that of other planets. They also have the capacity to reflect light.

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A gray kangaroo can bound across a flat stretch of ground with each jump carrying it 8.0 m from the takeoff point.

If the kangaroo leaves the ground at a 22˚ angle, what is its takeoff speed?
What is its horizontal speed?

Answers

The kangaroo's horizontal speed will be 9.7 m/s and its departure speed will indeed be 10.65 m/s.

What is the sound's velocity?

By observing the pace at which this compressed region moves through the medium, we may determine the sound speed. The sound wave travels at a speed of around 343 meters per second in low humidity at 20 degrees Celsius.

Briefing:

The following equation relates the distance to the direction and initial velocity:

d = [v₀²sin2θ]/g, where θ – the angle of the jump.

Thus, v₀² = gd / (sin2θ) = (9.8×8)/0.69 = 113.62

v₀ = 10.65 m/s ( the take off speed).

The horizontal velocity equals:

vₓ = v₀cos 22° = 10.65 m/s × 0.92 = 9.7 m/s

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What is perception?.....

Answers

Answer:

how you see something

Explanation:

Which Olympic events the most muscular stretch

Answers

Answer:

It is gymnastics.

CALCALATE the temperature change when 1000j of heat is supplied to 100g of water​

Answers

Answer:

2.39 °C

Explanation:

Specific heat of water = 4187 j / kg °C     (You eaither have to be given this, or know this  or look it up)

100 g of water = .1 kg of water

1000 j  / (.1 kg * °C) = 4187  j / (kg °C)

solve for C = 2.39°C

If you were to travel to a planet that has
twice the mass of Earth, what would
happen to your weight?

A. Your weight would stay the same.

B. Your weight would decrease because gravity is greater.

C. Your weight would increase because gravity is greater.

D. Your weight would decrease because there is less
gravity.

Answers

A. If you were to travel to a planet that has twice the mass of Earth, Your weight would stay the same.

What is weight?

The weight of an object is a quantity representing the force exerted on a particle or the object by an acceleration field, particularly the gravitational field of the Earth at the surface.

W = mg

where;

W is the weight of the objectm is mass of the objectg is acceleration due to gravity

The weight of an object depends on mass and acceleration due to gravity.

If you were to travel to a planet that has twice the mass of Earth, the following will be observed;

your mass will not changeyour weight will not change if the acceleration due to gravity on the planet is the same as that of Earth.

Thus, If you were to travel to a planet that has twice the mass of Earth, Your weight would stay the same.

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A glass tube of 30 cm long contains water to a height of 20 cm if 8140 frequency 250hz is used to obtain the next position of resonance after the first when the water level is 25 cm below the open-end calculate the velocity of sound in air​

Answers

The velocity of sound in air is 50 m/s.

To calculate the velocity of sound in air, we can use the formula:

v = f * λ

Where:

v is the velocity of sound

f is the frequency of the sound wave

λ is the wavelength of the sound wave

In this case, the first resonance occurs when the length of the glass tube is a quarter of the wavelength. So, for the first resonance:

λ₁ = 4 * L₁

Where:

λ₁ is the wavelength at the first resonance

L₁ is the length of the tube

Given that L₁ = 30 cm, we can calculate the wavelength at the first resonance:

λ₁ = 4 * 30 cm = 120 cm

Now, when the water level is 25 cm below the open end, the effective length of the tube becomes L₂ = L₁ - 25 cm = 5 cm.

To find the wavelength at the next resonance, we can use the formula:

λ₂ = 4 * L₂

λ₂ = 4 * 5 cm = 20 cm

Since the frequency remains the same (250 Hz), we can now calculate the velocity of sound using the equation v = f * λ:

v = 250 Hz * 20 cm = 5000 cm/s = 50 m/s

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what did the wright brothers use on the wright flyer instead of wheels?

Answers

The Wright brothers used skids instead of wheels on the Wright Flyer.


The Wright brothers designed the Wright Flyer with skids to enable the aircraft to take off and land on the soft sand at Kitty Hawk, North Carolina. Skids provided a stable and smooth contact surface for takeoff and landing without the need for a complex wheel system.The Wright Flyer, the first successful powered aircraft built and flown by the Wright Brothers, had skids attached to its landing gear. These skids, made of wood and covered with fabric, served as the primary means of supporting and landing the aircraft. The skids allowed the Flyer to glide along the ground during takeoff and landing, providing stability and control. The absence of wheels was due to the Wright Brothers' design choice and the conditions of the early aircraft they developed.

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A twirler’s baton is 0. 76 m long and spins around its center. The end of the baton has a centripetal acceleration of 47. 8 m/s2. How long does it take the baton to complete one spin? 0. 31 s 0. 56 s 4. 3 s 70 s.

Answers

The number of time it take the twirler’s baton to complete one spin is 0.56 seconds

Given the following data:

Diameter = 0.76 meterCentripetal acceleration = 47. 8 \(m/s^2\)

Radius = \(\frac{0.76}{2}\) = 0.38 m.

To determine the number of time it take the twirler’s baton to complete one spin:

Mathematically, the centripetal acceleration for the twirler’s baton is given by this formula:

\(A = \frac{4\pi^2 r}{t^2}\)

Where:

r is the radius.t is the time.

Making t the subject of formula, we have:

\(t =\sqrt{\frac{4\pi^2 r}{A}}\)

Substituting the parameters into the formula, we have;

\(t =\sqrt{\frac{4(3.142)^2 \times 0.38}{47.8}}\\\\t =\sqrt{\frac{39.489 \times 0.38}{47.8}}\\\\t =\sqrt{\frac{15.0058}{47.8}}\)

Time, t = 0.56 seconds

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1. An object with a mass of 2.0 kg accelerates 20 m/s2 when an unknown force is applied to it. What is the amount of the force?

Answers

Answer:

4 N

Explanation:

1. An object with a mass of 2.0 kg accelerates 20 m/s2 when an unknown force is applied to it. What is

At what point is the half-life of a radioactive isotope reached?
A. When half the parent nuclei in a sample have become daughter nuclei
B. When all the daughter nuclei in a sample have become parent nuclei
C. When half the daughter nuclei in a sample have become parent nuclei
D. When all the parent nuclei in a sample have become daughter nuclei​

Answers

Answer:

A. When half the parent nuclei in a sample have become daughter nuclei

Explanation:

The point at which the half-life is reached is when half of the parent nuclei in a sample have become daughter nuclei.

Every radioactive atom starts with the parent. When they disintegrate they given the daughter nuclides.

The half - life is the time taken for half of the radioactive nuclei to disintegrate.

The shorter the half - life, the faster the decay process.

When the number of parents becomes half and it leads to the formation of the daughter, the half life point is attained.

Answer:

A. When half the parent nuclei in a sample have become daughter nuclei

Explanation:

Ap3x

the change in velocity over time is called acceleration​

Answers

Answer:What' the question?

Explanation:

Answer:

Explanation:

Your answer is correct

Electrical conductivity in liquid solutions depends on the presence of free

Answers

Answer:

electrical conductivity in liquid solutions depends on the availability of free ions.

just want to double-check that you understand a practical consequence of the expansion of the universe. Light reaches us from a very distant galaxy. The time the light took to cross this distance and reach us is 10 billion years. The distance this light has crossed in this time is probably

Answers

Answer:

The distance of the light is 9.4608 x 10^25 m

Explanation:

Time taken by the light = 10 billion years = 10 x 10^9 years

speed of light = 3 x 10^8 m/s

speed of light in m/years is = (3 x 10^8)/(60 x 60 x 24 x 365) = 9.4608 x 10^15 m/year

distance = speed x time

therefore, the distance of this light = 10 x 10^9 x 9.461 x 10^15 = 9.4608 x 10^25 m

Answer:  

more than 10 billion light years due to expansion of space

Explanation:

The Sun's chemical composition was about 70% hydrogen when it formed, and about 13% of this hydrogen was available for eventual fusion in the core.
(The rest remains in layers of the Sun where the temperature is currently too low for fusion). The mass of the sun is M = 1.99 x 1080 kg. (a) Use the given data to calculate the total mass of hydrogen available for fusion over the lifetime of the Sun. Give your answer in kg. (b) The Sun fuses about 600 billion kilograms of hydrogen each second. Based on your result from part (a), calculate how long the Sun's initial supply of hydrogen can last. Give your answer in years. (c) Given that our solar system is now about 4.6 billion years old, when will we need to worry about the Sun running out of hydrogen for fusion? (d)
Consider the Sun's total supply of hydrogen available for fusion that you found in (a), and that 0.700 percent of that mass is converted to energy through the
process of fusion. Usine Einstein's E = me. how much total enerey does the Sun senerate over its lifetime:

Answers

(a) To calculate the total mass of hydrogen available for fusion over the lifetime of the Sun, we can multiply the total mass of the Sun (M = 1.99 x 10^30 kg) by the fraction of available hydrogen (13% or 0.13):

Mass of hydrogen available for fusion = M * 0.13

Substituting the given values:

Mass of hydrogen available for fusion = 1.99 x 10^30 kg * 0.13 = 2.587 x 10^29 kg

Therefore, the total mass of hydrogen available for fusion over the lifetime of the Sun is 2.587 x 10^29 kg.

(b) The Sun fuses about 600 billion kilograms (6 x 10^11 kg) of hydrogen each second. To calculate how long the Sun's initial supply of hydrogen can last, we divide the total mass of hydrogen available for fusion by the fusion rate:

Time = Mass of hydrogen available for fusion / Fusion rate

Time = (2.587 x 10^29 kg) / (6 x 10^11 kg/s)

Time = 4.312 x 10^17 seconds

To convert this to years, we divide by the number of seconds in a year:

Time = (4.312 x 10^17 seconds) / (365.25 days/year * 24 hours/day * 3600 seconds/hour)

Time ≈ 1.37 x 10^10 years

Therefore, the Sun's initial supply of hydrogen can last approximately 1.37 x 10^10 years.

(c) Given that our solar system is now about 4.6 billion years old (4.6 x 10^9 years), we can calculate the remaining time until the Sun runs out of hydrogen for fusion:

Remaining time = Time - Age of the solar system

Remaining time = (1.37 x 10^10 years) - (4.6 x 10^9 years)

Remaining time ≈ 9.7 x 10^9 years

Therefore, we do not need to worry about the Sun running out of hydrogen for fusion for approximately 9.7 x 10^9 years.

(d) To calculate the total energy released through the fusion process, we can use Einstein's mass-energy equivalence equation:

Energy (E) = mass (m) * speed of light (c)^2

The total energy released is equal to the mass of hydrogen converted to energy through fusion:

Energy = Mass of hydrogen available for fusion * c^2

Substituting the given values:

Energy = 2.587 x 10^29 kg * (3 x 10^8 m/s)^2

Please note that the calculation for the total energy requires further calculation, and the numerical result can be obtained by performing the calculations using the given values and appropriate units.

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Substance de compones at a rate proportional to the amount of A prosent. It is found that a tb of A will reduce to 4 lb in 38 hr. Anar how long wil there be only 16 2 There will be 1 to left?

Answers

The substance will be reduced to 1/16 of A present, that is 1 lb, in 95 hours.

Let the initial amount of A present be X lb. The rate of decomposition of A is proportional to the amount of A present. Therefore, the rate of decomposition = k * X where k is the proportionality constant. We know that 1 lb of A will reduce to 4 lb in 38 hours. So, the rate of decomposition = X/38.

Also, the rate of decomposition = k * X. Comparing both the equations, k = 1/38. Therefore, the rate of decomposition = X/38A substance will reduce to 1/16 of A present i.e., X/16. Using the equation for the rate of decomposition, we get, X/16 = (1/38)*X*(t). Simplifying, we get t = 95 hrs. Hence, the substance will be reduced to 1/16 of A present, that is 1 lb, in 95 hours.

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Review Question: (i) A loop lying in the same plane as a wire is moved from below toward the current-carrying wire with current pointing in the left direction. As the loop is moving, is there a (a) clockwise current around the loop, a (b) counterclockwise current, or (c) no current? (ii) What if the loop moves from above? (iii) What if the loop moves parallel to the wire to the left below it?

Answers

(i) As the loop is moved from below toward the current-carrying wire with the current pointing in the left direction, there will be a counterclockwise current around the loop. This is due to the interaction between the changing magnetic field produced by the current in the wire and the loop. According to Faraday's law of electromagnetic induction, a changing magnetic field induces an electric current in a nearby conductor.

(ii) If the loop moves from above toward the current-carrying wire, the direction of the induced current will be clockwise. The change in the relative motion between the loop and the wire alters the orientation of the induced current, following the principles of electromagnetic induction.

(iii) When the loop moves parallel to the wire to the left below it, there will be no current induced in the loop. The motion of the loop in a parallel direction to the wire does not result in a changing magnetic field, which is necessary to induce an electric current according to Faraday's law. Therefore, no current will be generated in this scenario.

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A bus travels from el paso, texas, to an area near chihuahua, mexico, in 5.1 h with an average velocity of 75 km/h to the south. what is the bus’s displacement? answer in units of km.

Answers

The answer is 380km due south.

Applying the displacement formula and putting all given values in the above formula then we get easily answer.

What is velocity?

Velocity is the rate of change of displacement. Mathematically, Velocity = displacement/time takenDisplacement = Velocity×time takenGiven velocity = 75km/hrTime taken = 5.1hrsDisplacement = 75km/hr×5.1hrsDisplacement = 382.5kmApproximately 380km due South

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What energy transformation takes place when you stretch a bungee cord?

A.
Kinetic energy transforms into potential energy.

B.
Mechanical energy transforms into sound energy.

C.
Elastic energy transforms into kinetic energy.

D.
Potential energy transforms into elastic energy.

Answers

Answer:

D.Potential energy transforms into elastic energy.

A stone is dropped from the edge of a roof, and hits the ground with a velocity of -120 feet per second. How high (in feet) is the roof?

Answers

The Height of the roof is 225 feet .

Calculation :

y = h - gt2/2 = 0;

h = gt2/2;

v(t) = dy/dt = - gt;

t = - v(t)/g;

h = g/2·v2(t)/g2

= v2(t)/(2g)

= 120²ft2/s²/(2·32ft/s²) =

225 ft

In mathematics, height is defined as the vertical distance from top to bottom of an object. Also called "height". The term geometry height refers to the measurement of an object along the coordinate geometry's y-axis.

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Animals in cold climates often depend on two layers of insulation: a layer of body fat [of thermal conductivity 0. 200W/(m⋅K) ] surrounded by a layer of air trapped inside fur or down. We can model a black bear (Ursus americanus) as a sphere 1. 60m in diameter having a layer of fat 3. 90cm thick. (Actually, the thickness varies with the season, but we are interested in hibernation, when the fat layer is thickest. ) In studies of bear hibernation, it was found that the outer surface layer of the fur is at 2. 80∘C during hibernation, while the inner surface of the fat layer is at 30. 9∘C a) What should the temperature at the fat-inner fur boundary be so that the bear loses heat at a rate of 51. 4W ? b) How thick should the air layer (contained within the fur) be so that the bear loses heat at a rate of 51. 4W ?

Answers

a) Calculation of temperature at the fat-inner fur boundaryThe rate of heat flow is given by:

\(q =\frac{kA\Delta T}{d}\)

where, k = thermal conductivity; A = surface area; ΔT = temperature difference and d = thicknessSince the rate of heat flow is given to be 51.4 W, we can obtain the temperature difference from the given data.

\(ΔT = \frac{30.9 - 2.8}{\ln \frac{3.9}{1.6/2}} ≈ 3.6°C\)

Now, substituting the given values of A, d and k, we get

\(51.4 = \frac{0.200 \pi (1.6)^{2} \times 3.6}{0.039} × (T1 - 30.9)\)

where T1 is the required temperature at the fat-inner fur boundarySimplifying, we getT1 ≈ -9.7°Cb) Calculation of thickness of air layerAssuming the layer of air to be stationary and isothermal, the rate of heat flow can be calculated using the following equation:q = hAΔTwhere, h = heat transfer coefficientThe heat transfer coefficient, h can be calculated using the relation:

\(q = [\frac{kA\Delta T}{d} = hAΔT ⇒ h =\frac{k}{d}\\\)

Using this, we can obtain the heat transfer coefficient, which is approximately 0.7 W/(m².K)Using the relation above, we can write:

\(51.4 = 0.7 × (4π(1.6/2)²) × ΔT × d\)

where ΔT is the temperature difference and d is the thickness of the air layerSolving for d, we getd ≈ 1.2 cmTherefore, the thickness of the air layer should be around 1.2 cm so that the bear loses heat at a rate of 51.4 W.

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