The thicker wire has one-fourth the resistance of the thinner wire.
What are resistance and resistivity?The characteristic of a substance that prevents the flow of current is known as resistance. The free electrons begin to move in a specific direction when a voltage is applied across the conductor. These electrons collide with atoms or molecules as they move, creating heat in the process. These atoms or molecules prevent free electrons from moving through a substance. Resistance is represented by the symbol R.
Specific resistance is another name for resistivity. A substance with certain dimensions, such as one meter in length and a cross-sectional area of one square meter, has a resistance that is represented by its resistivity. Resistivity or specific resistance is represented by ρ.
The relation between resistance R and resistivity ρ is given as:
R = ρL/A
where,
R = resistance of the conductor
ρ = resistivity of the material
L = length of the conductor
A = cross-sectional area of the conductor
Calculation:Given,
r₁ = 2r₂
L₁ = L₂
where
r₁ = radius of the first conductor
r₂ = radius of the second conductor
L₁ = length of the first conductor
L₂ = length of the second conductor
To find
R₁/R₂ =? (the ratio of R₁ and R₂)
If the radius is twice the other then the area will become,
A₁ = π r₁²
A₂ = π r₂²
A₁ = π (2r₂)²
= 4π r₂²
Therefore,
A₁ = 4 A₂
Now put the values in the formula,
R = ρL/A
R₁/R₂ = ρ L₁ A₂/ ρ L₂ A₁
R₁/R₂ = L A₂/ L (4A₂)
R₁/R₂ = 1/4
R₁ = R₂/4
Hence, the thicker wire with twice the radius of the thin wire has one-fourth the resistance of the thinner wire.
I understand the question you are looking for is this:
How do the resistances of two conducting wires compare if they have the same length, but one is twice the radius of the other?
(a) The thicker wire has half the resistance of the thinner wire
(b) The resistance is the same in both wires
(c) The thicker wire has one-fourth the resistance of the thinner wire
(d) The thicker wire has twice the resistance of the thinner wire.
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useful and inconvenience of frictional force of a soccor player running with soccer boots
They are useful in providing larger frictional force.
The force produced by two surfaces coming into contact and sliding against one another is referred to as frictional force.
The following variables impact the frictional force: Surface roughness and the amount of force pressing them together have the biggest impact on these forces.
Football shoes have spikes or studs because they offer more frictional force when running on grass than regular shoes do.
The studs make it easier for players to move faster and change directions rapidly without slipping while also preventing them from slipping on the grass.
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A 540 gram object is attached to a vertical spring, causing the spring’s length to change from 70 cm to 110 cm.
What is the change in the object’s gravitational potential energy?
Group of answer choices
-2.1 J
-0.84 J
2.1 J
0.84 J
The change in the object’s gravitational potential energy is 2.11 J.
Change in the object's gravitational potential
ΔP.E = mg(hf - hi)
where;
m is mass of the objecthf is final height hi is initial heightΔP.E = 0.54 x 9.8(1.1 - 0.7)
ΔP.E = 2.11 J
Thus, the change in the object’s gravitational potential energy is 2.11 J.
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At 30° north latitude, at the northern edge of tropical (hadley) cell convection in the northern hemisphere, ________.
a. cool
b. dry
c. air sinks
d. becoming drier as it heats up
At 30° north latitude, at the northern edge of tropical (Hadley) cell convection in the northern hemisphere d. becoming drier as it heats up
Hadley cells: A cell in the tropics is called Hadley cell. Ferrel cells: In the middle latitudes the circulation is that of sinking cold air that comes from the poles and the rising warm air that blows from the subtropical high. At the surface these winds are called westerlies and the cell is known as the Ferrel cell.
As air is warmed at the equator it becomes less dense and rises, while at the poles the cold air is denser and sinks.
Because of the rotation of the Earth and the Coriolis Effect, rather than a single atmospheric convection cell in each hemisphere, there are three major cells per hemisphere. Warm air rising at the equator cools as it moves through the upper atmosphere, and it descends at around 30° latitude.
The convection cells created by rising air at the equator and sinking air at 30° are referred to as Hadley Cells, of which there is one in each hemisphere. The cold air that descends at the poles moves over the Earth’s surface towards the equator, and by about 60° latitude it begins to rise, creating a Polar Cell between 60° and 90°.
correct option is d. becoming drier as it heats up
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For elevator questions, does the weight of a person increase when the elevator is going up or if it's going down-
The weight of a person increase when the elevator is going up.
Weight of the person in the elevator
The weight of the person in the elevator is calculated as follows;
When the person is going upF = ma + mg
F = m(a + g)
where;
a is acceleration of the persong is acceleration due to gravityWhen the person is going downF = mg - ma
F = m(g - a)
Thus, the weight of a person increase when the elevator is going up.
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Based on illustrations of magnetic field lines, where could an object be placed so it would not experience a magnetic force
Halfway between the like poles of two magnets, because the field lines bend away and do not enter this area.
How does a magnetic field diagram show where the field is strongest?
The magnetic field lines do not ever cross. The lines include arrowheads to indicate the direction of the force exerted by a magnetic north pole. The closer the lines are to the poles, the stronger the magnetic field (thus the magnetic field from a bar magnet is highest closest to the poles).Where is magnetic field the strongest and weakest on a magnet?
The bar magnet's magnetic field is strongest at its core and weakest between its two poles. The magnetic field lines are densest immediately outside the bar magnet and least dense in the core.Which two locations on the magnet would have the greatest attractive forces?
Inside the magnet itself, the field lines run from the south pole to the north pole. The magnetic field is strongest in areas of greatest density of magnetic field lines, or areas of the greatest magnetic flux density.Learn more about magnetic field
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A 2. 0mc charge in an external field of 20n/c, north (direction) will experience a force of: ___0. 04____________ newtons, the direction of the force is __north___________
2. 0 mc charge in an external field of 20n/c, north (direction) will experience a force of 0.4 newtons, the direction of the force is north
Force in an electric field = charge * electric field
given
charge = 2* [tex]10^{-3}[/tex] C
electric field = 20 N/C
Force in an electric field = 2* [tex]10^{-3}[/tex] * 20
= 0.04 N
since , external field is in north direction then the force must be in north direction because the direction of an electric field at a point is the same as the direction of the electric force acting on a positive test charge
hence, 2. 0 mc charge in an external field of 20n/c, north (direction) will experience a force of 0.4 newtons, the direction of the force is north
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A rocket takes off from Earth and starts flying to Mars. What happens to the force of gravity between the rocket and Earth as the rocket approaches Mars
The force of gravity between Earth and Mars will decrease.
The gravitational law is given as-
F = G mM/r²
here, m= mass of rocket
M = mass of earth
r = distance between earth and rocket
So, as rocket takes off from earth and fly towards mars then the distance starts to increase between earth and rocket, and the gravitational pull between them starts to weaken. Then a point will reach when rocket will far from gravity of earth and could probably enter the gravity of Mars.
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The mississippi river delta is one in which the primary source of local current energy is ____.
Answer:potential energy
Explanation:
1. Determine the energy released per kilogram of fuel used.
Given MeV per reaction, calculate energy in joules per kilogram of reactants.
Consider 1 mole of tritium plus 1 mole of deuterium to be a mole of “reactions” (total molar mass = 5 grams).
2. Determine the mass of fuel required for the expected energy consumption in the United States for the next 10 years.
Energy use per person per year in the United States = 3.5 × 1011 joules.
Base your calculations on a current population of 310,000,000.
1MeV = 1.6 x 10-13 J and 3.5 x 1011 joules of energy is energy in joules per kilogram of reactants.
The amount of fuel needed to meet US expectations for energy consumption over the next ten years.
In the US, each person uses 3.5 x 1011 joules of energy annually. 310,000,000 people make up the present population, thus use 1MeV = 1.6 x 10-13 J in your calculations.
In the US, annual energy consumption per person is equal to 3.5 x 1011Joules (estimated, varies by source, August 2009)
USA population: 310,000,000, roughly.
One mega electron volt, or one million electron volts, is designated as MeV. A particle with one electron charge will gain one MeV of energy when it passes through a potential difference of one million volts in a vacuum.
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A canister filled with 1.3 mol of single-atom helium gas has a temperature of 315 K. What is the approximate total internal energy of the gas? (Recall that the equation for kinetic energy due to translation in a gas is: 3/2 nRT; the equation for kinetic energy due to rotation of a molecule in a gas is: nRT; and R = 8.31 J/(mol.K).)
The total internal energy of the gas is 5104 Joule.
What is the internal energy of n mole of monoatomic gases?Internal energy= f/2 × nRTf = degrees of freedom, R= universal gas constant with value 8.31 J/(mol K), T= temperatureFor mono-atomic gas, degrees of freedom is 3. So internal energy= 3/2× nRTWhat is the internal energy of 1.3 mole of helium at 315K temperature?Internal energy of helium gas=
3/2 × 1.3 × 8.31 × 315
= 5104 joule
Thus, we can conclude that the internal energy of the helium gas is 5104 Joule.
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2. If you want 0. 250 a (250 milliamps) to flow around a circuit with a resistance of 400 ohms, what voltage do you need?
Answer:
0.000625 V
Explanation:
The formula linking current , resistance and voltage is :
V = I/R
Voltage = Current / Resistance
Now we substitute values given in question :
Voltage = 0.250 / 400
Voltage (V) = 0.000625
Our final answer is 0.000625 V
Hope this helped and have a good day
Place the charge q= 2.10-5c at the origin o of the oxy-axis system. consider two points a(6;0) and b(3;4) on the axes with unit of measurement in cm. choose the potential origin at infinity. calculate the work done by the electric field when moving the charge q=-1uc from a to b
The work done by the electric field when moving the charge from a to b is 0.0378 J.
Distance between a and b
r = √[(a₂ - a₁)² + (b₂ - b₁)²]
r = √[(3 - 6)² + (4 - 0)²]
r = 5 m
Work done in moving the chargeW = Fr
W = kq₁q₂/r
W = (9 x 10⁹ x 2.1 x 10⁻⁵ x 1 x 10⁻⁶)/(5)
W = 0.0378 J
Thus, the work done by the electric field when moving the charge from a to b is 0.0378 J.
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On what does the magnitude of an applied torque depend?
Answer:
See below
Explanation:
The force applied and the length of the arm
The magnitude of an applied torque depend on force vector, 'θ' is the angle between r and F, and the distance vector.
What is torque?
The force that can cause an object to rotate along an axis is measured as torque. Similar to how force accelerates an item in linear kinematics, torque accelerates an object in an angular direction. A vector quantity is a torque.
Torque is defined as Γ=r×F=rFsin(θ). In other words, torque is the cross product of the force vector, where 'θ' is the angle between r and F, and the distance vector (the distance between the pivot point and the place where force is applied).
The magnitude of an applied torque depend on force vector, 'θ' is the angle between r and F, and the distance vector.
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A 5.0-kg bar of lead is placed inside a 12-L chamber filled with helium gas. The temperature of the lead and helium is the same. How do the average kinetic energies of the lead atoms and helium atoms compare
As the temperature of the lead and helium is the same. Thus the average kinetic energy is also the same for lead and helium.
Reason:
It is given that a 5.0-kg bar of lead is placed inside a 12-L chamber filled with helium gas. The temperature of the lead and helium is the same. It is required to compare the average kinetic energy of the lead atoms and helium atoms.
The average kinetic energy is calculated as, [tex]K=\frac{3}{2} \frac{R}{N} T[/tex].
Here K is the average kinetic energy, R is the gas constant, N is the Avogadro's number, and T is the temperature.
As the temperature is the same for both lead and helium. As a result, the average kinetic energy is also the same for lead and helium.
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According to the theory of a symmetry breaking, at the moment of quark confinement, when the universe was 10-6 seconds old, what were the relative numbers of neutrons and antineutrons
At the time of quark confinement, when the universe was 10-6 seconds old, there is found to be one additional proton for every billion antiprotons.
What is quark confinement?Note that one quark is never found on its own but if particles are said to be smashed together and quarks are found, they are said to be like ends of rubber bands that expands.
Hence, At the time of quark confinement, when the universe was 10-6 seconds old, there is found to be one additional proton for every billion antiprotons.
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Which type of galaxy is likely to contain only o-spectral type stars?
In its own reference frame, a box has the shape of a cube 1.5 m on a side. This box is loaded onto the flat floor of a spaceship and the spaceship then flies past us with a horizontal speed of 0.90 c.
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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A 1500 pound car is stopped in traffic on a hill that is at an incline of 10. Determine the force that is required to keep the car from rolling down the hill.
A 1500 pound car is stopped in traffic on a hill that is at an incline of 10. The force that is required to keep the car from rolling down the hill will be 1133.53 N.
When all the forces that act upon an object are balanced, then the object is said to be in equilibrium motion. The forces are considered to be balanced if the rightward forces are balanced by the leftward forces and the upward forces are balanced by the downward forces.
It can be observed from the diagram that in order resist the car to rolling down the hill we need to apply an equal and opposite force against the inclined force( that is mgsin(x)) to form an equilibrium position because rolling is associated with horizontal forces hence we need to apply force against the force which can drive down the car .
mass = 1500 pound = 680.39 kg
sin(10) = 0.17
F (counter force ) = m*g*sin(x)
= 680.39 * 9.8 * 0.17
= 1133.53 N
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Voltage-gated calcium ion channels that function in neurotransmission are primarily found on the:_________
Voltage-gated calcium ion channels that function in neurotransmission are primarily found on the: excitable cells
A neurotransmitter is the body’s chemical messenger. They are molecules that transmit signals from neurons to muscles, or between different neurons. The transmission of signals between two neurons occurs in the synaptic cleft.
The electrical signals that travel along the axon are briefly converted into chemical signals through neurotransmitters.
Voltage-gated calcium (Ca2+) channels are key transducers of membrane potential changes into intracellular Ca2+ transients that initiate many physiological events. There are ten members of the voltage-gated Ca2+ channel family in mammals, and they serve distinct roles in cellular signal transduction.
They are found in excitable cells, not only in motor neurons but also in other types of excitable cells .
Voltage-gated calcium channels are important mediators of depolarization-evoked release of neurotransmitters. To ensure efficient coupling of calcium influx to rapid vesicle release, calcium channels must be localized within the active zones of presynaptic nerve terminals
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The pressure due to the atmosphere is very large, why are we not crushed?
Answer:
It is because of the blood pressure balances with our atmospheric pressure
What was Kobe’s attitude toward life and competition?
Answer: Positive
Explanation: Kobe has had an positive attitude on situations and life itself. No matter the competition he still kept a positive attitude regardless. He still wished the best for others even if his enemies thought otherwise. So Kobe was a positive person on the outlook of life and competition.
iron mining in south africa
Answer:
In 2021, South Africa's production of iron ore amounted to an estimated 61 million metric tons. South Africa is one of the world's largest producers of iron ore. As of 2021, South Africa was the ninth-largest iron ore producing country in the world.Which starting material is the limiting reagent in this procedure? which reagent is used in excess? how great is the molar excess (how many times greater)?
The limiting reagent in this procedure is the substance that is completely used in the reaction. The substance which is not completely used is called excess.
The beginning cloth in a chemical reaction is known as the reactant. each chemical response could have one or more reactants.
In a chemical response limiting reagent is the reactant this is fed on first and prevents any similar reaction from happening. the quantity of product shaped during the response is decided by means of the limiting reagent. as an example, allow us to recall the response of solution and chlorine
Materials used during the manufacture of the lively substance (e.g., tradition media, growth factors, and so on) and that are not meant to form a part of the active substance shall be taken into consideration as raw substances. cloth forming a critical part of the lively materials element shall be considered as the beginning substance.
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A motor has coils with a resistance of 27 and operates from a voltage of 235 V. When the motor is operating at its maximum speed, the back emf is 146 V. (a) Find the current in the coils when the motor is first turned on.
the current in the coil of the motor is 8.70A
The motor coil's resistance is R = 27.
The motor's working voltage is V o = 235 V.
When the motor is running at its top speed, the rear emf is V b =141V.
The initial coil current when the motor is turned on must be calculated.
using the information provided,
I=VoR=(235v/27Ω)=8.70A
The number of turns is the first element that affects the current coil's strength. The current in amperes increases with the number of revolutions. The number of turns in a coil also multiplies the magnetic field. The strength of the current of the coil passing through the conductor is the second crucial element.
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A 4 kg toy car moves horizontally on a rough road with coefficient of kinetic friction 0.2. It accelerates from rest to 20 m/s in 10 s. Find (a) the total work done on the car
The total work done on the car is 784Joule.
What's the acceleration of the car?As per Newton's equation of motion, V= U+atU= initial velocity= 0 m/sV= vinal velocity= 20m/s
t= time = 10s
a= acceleration
So, 20= 0+ 10a=> a= 20/10= 2m/s²
What's the distance covered by the car in 10 seconds?As per Newton's equation of motion,V²-U² = 2aS
S= distance covered by the carSo, 20²-0=2×2×S=4S=> 400= 4S
=> S= 400/4= 100m
What's the work done on the car due to frictional force?Work done by frictional force= frictional force × distance
= (0.2×4×9.8)×100
= 784Joule
Thus, we can conclude that the work done on the car is 784Joule.
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A machine has a mechanical advantage of 0.6. what force should be applied to the machine to make it apply 600 n to an object? 100 n 360 n 1000 n 3600 n
Answer:
frictional force, should be applied to the machine
Answer: C) 1000N is needed to be applied.
Explanation: Have a Good day!!
A kettle transfers 6,000j of energy electrically. 1,500j of this is wasted. what is the efficiency of this kettle?
Answer:75 percent
Explanation:so in order tro fin d thge efficiency i used the forumla ,efficency=useful output energy/input energyx100%,in order to use this formula i needed the output,which i found by subtracting the input energy with wasted energy,that gave me the output,and after founding the output,i put that into the formula,
output energy=input energy - wasted energy
output energy=6000j-1500j
output energy=4500
put that into the formula
efficiency =output energy/input enrgy x100%
efficiency=4500/6000 multiplied by 100%
efficiency=0.75x100%
efficiency=75%
Magnetic field lines point _____ north poles and _____ south poles
Magnetic field lines point leave north poles and enter south poles.
What are Magnetic field lines?This is referred to as the direction that a small compass points when placed at a location.
They are closed curves which runs from the north pole and enters the south pole thereby making it the most appropriate choice.
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The Earth's escape speed (the speed you need to get away forever) is about 40,000 kilometers per hour. Escape speed depends on the gravity of the object trying to hold the spacecraft from escaping. Based on your understanding of gravity, how will the escape speed from the Moon compare to the escape speed from Earth
The Moon s escape speed will be smaller than Earth's.
What is escape speed:The minimum speed that is required for an object to free itself from the gravitational force exerted by a massive object.
The formula of escape speed is
[tex]v = \sqrt{\frac{2GM}{R} }[/tex]where
v is escape velocity
G is universal gravitational constant
M is mass of the body to be escaped from
r is distance from the center of the mass
we can say that,
Escape speed depends on the gravity of the object trying to hold the spacecraft from escaping.
we know that,
The Moon's surface gravity is about 1/6th as powerful or about 1.6 meters per second per second.
since, v ∝ g
The Moon s escape speed will be smaller than Earth's.
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The figure in Figure 1 shows two single-slit diffraction patterns. The distance between the slit and the viewing screen is the same in both cases. Which of the following could be true
Answer:
"The wavelengths are the same for both. The width of slit 1 is larger than the width of slit 2."
Explanation:
The full question has not been provided, so I just copied this into the web and found this answer and explanation on quizlet:
"The wavelengths are the same for both. The width of slit 1 is larger than the width of slit 2.
D sin θ = m λ
if the wavelengths are the same, then if the angle is smaller, the slit width must be larger. The top photo shows a pattern that is more closely spaced. That means the angle is smaller. The slit width must be larger."
This answer/explanation should be correct, as we are looking at bright fringes and the formula being used corresponds to the parameters of the question.
Hope this helps!