When the current in the second wire is doubled, the forces exerted by the two parallel current-carrying wires on each other will also double, maintaining an equal but opposite relationship.
The force between two parallel current-carrying wires is given by Ampere's law. According to Ampere's law, the force is directly proportional to the product of the currents and inversely proportional to the square of the distance between the wires.
Initially, when the currents in the two wires are equal, the forces they exert on each other are also equal but opposite in direction, ensuring equilibrium. Let's call this force F1.
When the current in the second wire is doubled, the product of the currents in the two wires becomes twice the original value. Since the force is directly proportional to the product of the currents, the force between the wires will also double. Let's call this force F2.
Therefore, after doubling the current in the second wire, the forces exerted by the wires on each other will be equal but opposite in direction, and the magnitude of the forces will be twice the original value.
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What will be the final temperature when 100 g of 25˚C water is mixed with 75 g of 40˚C water?
Answer:
trick to this answer in this question
Why do we not observe the wave-like nature of an object such as quickly rolling bowling ball?
We do not observe the wave-like nature of an object such as a quickly rolling bowling ball because the length of the wave is much shorter than the diameter of the ball.
As far as we know, matter possesses both wavelike and particle-like characteristics. According to de Broglie hypothesis, waves flow in straight lines and exhibit minimal interference when they come into contact with things that are significantly bigger than their wavelength (for example light rays in geometric optics). The longest wavelength &, therefore, the lightest mass achievable would be beneficial to obtain easily seen interference mostly from matter particles. Thus, this phenomenon was first noticed in electrons. A wave must come into contact with an object that is similar in size just like its wavelength to produce noticeable interference effects. Furthermore, we might assert that wave nature only reveals itself in tiny things like electrons and neutrons.
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What is responsible for keeping an object at rest or maintaining an object's constant velocity? balanced forces external forces unbalanced forces Gravity Friction
Answer:
balanced forces external forces
Explanation:
A body that is under a network of balanced external forces will experience no resultant force at all, since all the forces cancel themselves out. A body that is moving with this type of force will experience no acceleration, since there is no force acting on them. This lack of acceleration means that the body maintains a constant velocity if it is already in motion, or zero when the body is at rest.
As you throw a 2.00 x 10 g baseball, your hand moves a distance of 90.0 cm before you release the ball. If you exert an average force of 50.0 N on the ball while it is in your hand, determine: (a) the kinetic energy of the ball as it leaves your hand. (b) the speed with which the ball leaves your hand.
The kinetic energy of the ball as it leaves your hand is 45 joules and the speed with which the ball leaves your hand is approximately 67.08 meters per second.
The kinetic energy of the ball as it leaves your hand can be calculated using the work-energy principle. The work done on an object is equal to the change in its kinetic energy. In this case, the work done is equal to the force applied multiplied by the distance over which it is applied. The formula is:
Work = Force × Distance
Substituting the given values, we have:
Work=50×0.9
The work done on the ball is equal to its change in kinetic energy, so:
Work = \(\bigtriangleup KE\)
Therefore, the kinetic energy of the ball as it leaves your hand is equal to the work done on it:
\(\bigtriangleup KE\)=50×0.9=45J
Therefore, the kinetic energy of the ball as it leaves your hand is 45.0 joules.
(b) To determine the speed with which the ball leaves your hand, we can use the equation for kinetic energy:
Kinetic Energy = (1/2) × Mass × Velocity^2
Since the kinetic energy was already determined to be 45.0 J, and the mass of the ball is given as 2.00 x 10 g (or 0.02 kg), we can rearrange the equation and solve for velocity:
45.0 J = (1/2) × 0.02 kg × Velocity^2
Simplifying the equation:
Velocity^2 = (2 × 45.0 J) / 0.02 kg
Velocity^2 = 4500 m^2/s^2
Taking the square root of both sides, we find:
Velocity ≈ 67.08 m/s
Therefore, the speed with which the ball leaves your hand is approximately 67.08 meters per second.
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what is frictional less pulley
Answer:
Conditions under which the belt and pulleys are operating – The friction between the belt and pulley may decrease substantially if the belt happens to be muddy or wet, as it may act as a lubricant between the surfaces.
Explanation:
I hope that this would be helpful
what is the difference between a microscope and a telescope
Both a microscope and a telescope are optical devices made for object observation, yet they have diverse uses and unique qualities.
The main use of a microscope is to observe items that are too small to be seen with a human eye. It enlarges tiny objects, including cells or microbes, making it possible to examine their structure and makeup in great detail. Microscopes can magnify objects at high magnification and have an eyepiece and objective lenses to do so. For better visibility, they frequently have systems for illumination and focus adjustment.
Whereas. a telescope, is an object that helps to look at distant astronomical objects in sky, such as stars, planets, and galaxies. Light is gathered and focused by telescopes to create an enlarged image. They have bigger mirrors or objective lenses to collect more light and provide high-resolution images. They can be created in a variety of shapes and dimensions, such as reflecting or refracting telescopes, and are usually equipped with features like adjustable focal lengths and eyepieces in order to achieve different levels of magnification.
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A loaded spring launches a 2.50 kg block, using a force of 450 N. If the change in
momentum is 12.0 kg*m/s, how long was the block in contact with the spring?
Answer:
37.5 seconds
Explanation:
The given parameters are;
The mass of the block on the spring, m = 2.50 kg
The force with which the loaded spring launches the block, F = 450 N
The change in momentum of the block, Δp = 12.0 kg·m/s
We have;
Let the force with which the block was launched = The net force, \(F_{NET}\)
By Newton's second law of motion, we have;
F = \(F_{NET}\) = Δp × Δt
Where;
Δt = The time the block is in contact with the spring
Therefore;
\(\Delta t = \dfrac{F_{NET}}{\Delta p}\)
By plugging in the values for \(F_{NET}\) and Δp, we have;
\(\Delta t = \dfrac{450 \ N}{12.0 \ kg \cdot m/s} = 37.5 \ s\)
The time duration the block is in contact with the spring, Δt = 37.5 seconds.
9. According to statistical theory, 68% of your measurements of time should fall within the range of and of therefore about 3 of your 5 measurements should satisfy this condition. How many of your measurements fall within this range? Are your errors random according to this theory?
Answer:
Yes
Explanation:
Yes, this is a random error generating because of statistical constraint. We only have finite number of data points. As per this, if we plot our observation we will get a gaussian (inverse bell ) shaped curve with mean equal to central value.
Visible light is the _______ that our eyes can see.
Answer:
Spectrum because it could respond to a specific color based upon how you humans typically perceive Lights of the wavelength
Answer:
spectrum
Explanation:
Bile is a compound that helps in the digestion of fat and eliminates waste products from the blood. True O False
Answer:
That should be true because bile is ¨a bitter greenish-brown alkaline fluid that aids digestion and is secreted by the liver and stored in the gallbladder.¨
Explanation:
Ariel has 2.6 grams of zinc. What volume of the material does she have if zinc has a density of 7.13 g/cm3?
Answer:
Equation : Density = mass / volume
= 2.6 / 7.13
= 0.3646563815
Explanation:
Which statement best defines the resistance of an electric circuit? (1 point) o It limits the amount of electrical energy that can pass through a circuit. 0 It is the measurement of the rate of electrical energy in a circuit. O It is the amount of electrical energy that is available in a circuit. O It describes how much electrical energy passes in a circuit.
Answer:
it limits the amount of electrical energy that can pass through a circuit
John doesn't think that skepticism should play an important role in the scientific process. He says that skepticism interferes with scientific consensus. Which statement best describes John's conclusion
Answer: it is incorrect because skepticism helps scientists recognize when ideas are not supported by evidence.
Explanation:
Skepticism is simply the understanding that there can be uncertainty when it comes to knowledge in certain areas.
From the question, we are informed that John doesn't think that skepticism should play an important role in the scientific process and that he says that skepticism interferes with scientific consensus.
The statement that best describes John's conclusion is that it is incorrect because skepticism helps scientists recognize when ideas are not supported by evidence.
what happens when two forces at same direction
Answer:
Explanation:
· If two forces are in the same direction, then one adds them to find the net force, which is the vector sum of these forces. However, when two forces act in opposite direction, one has to subtract the lesser force from the larger one to find the resulting force. The resultant is the direction of the larger of these two forces.
Which one!!!!!!!!!!!!
Answer:
3N to the right
Explanation:
A vehicle travels a distance of 300km. It took the vehicle 6 hours to make the trip.
What is the speed of the vehicle?
Answer:
50 kmph
Explanation:
300 / 6 = 50
Calculate the volume of this regular solid. A cone 4.5 centimeters high with a radius of 3 centimeters. Label B is pointing to the circular base of the cone.
Answer:42.41
Explanation:
Is CO2 is a molecule or a element or a compound
Answer:
Compound
Explanation:
Answer:
Compound
Explanation:
Its molecules consist of one carbon atom joined to two oxygen atoms. If you have more than one element chemically bonded, it is a compound.
the speed of the incoming water is 30 cm/s and the cross-sectional area of the hose carrying the water is 3.0 cm2. 1) determine the time required for a 25-l container to be filled with water. (express your answer to two significant figures.)
The time required for a 25-L container to be filled with water is 277.7 min.
what is time?
Time is something that everyone is familiar with, but it is difficult to explain and comprehend. Time is defined differently in science, philosophy, religion, and the arts, but its measurement method is rather constant.
The time is measured in seconds, minutes, and hours. While the origins of these units have altered over time, they may be traced back to ancient Sumeria. The cesium atom's electrical transition defines the contemporary international unit of time, the second.
Given:
Incoming water speed (v) = 30cm/s
Hose area (A) = 2 cm²
volume of the container, V = 25 L = 25,000 cm³
The volumetric flow rate of the water is calculated as follows;
q=av
V/t=Av
T=V/Av
=25000/3x30
=25000/90
=277.7s
therefore the time required was 277.7 seconds
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multi choice
14) A ball has 100 J of potential energy when it is on a shelf. The kinetic energy of the ball the instant it hits the floor is ________J.
The kinetic energy of the ball the instant it hits the floor is 100J.
Describe energy.Energy is a unit used to describe how much work a body can perform. It cannot be created or gotten rid of. Energy comes in a variety of forms, including thermal, electrical, nuclear, electrical fusion, and electrical. Energy has the capacity to take on different forms.
The ball's potential energy when it is on a shelf is 100 J.
The ball's potential energy from gravity begins to transform into kinetic energy as it begins to fall. Additionally, as the ball falls, its kinetic energy will rise and its potential energy will fall.
The ball's potential energy due to gravity is completely transformed into kinetic energy when it strikes the ground.
Therefore, the ball has 100 J of kinetic energy when it strikes the ground.
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Suki has been exercising more and eating healthy for two weeks. However, she has not really lost any weight and cannot see a difference in her body. She does feel a little better. At the same time, she is a bit frustrated with the lack or results. What is the BEST response to Suki’s concerns?
options:
A.
Being healthy is its own reward so she should not worry about appearance.
B.
She should be seeing immediate results so she needs to try something else.
C.
It takes a while to see significant results so she should keep it up and be patient.
D.
Improving diet and exercise habits does not generally change physical appearance.
PLEASE NO LINKS
Answer:
C
Explanation:
Most often you will not see immediate results with dieting and exercising.
Exercise helps to increase the rate of metabolic activities in the body. So it will helps to reduce the issues from heavy calories. Thus increasing exercise helps to balance food intake but to get a significant change in weight, we have to waite and continue the exercises.
What is metabolism?Anabolism and catabolism together called as metabolism. Anabolism is the synthesis of biological compounds whereas catabolism is breaking or decomposition reaction. These biochemical reaction regulates the functions in our body.
If we uptake high calorie food and its not burned by digestion then it will leads to weight gain and other health issues. Fat will deposits in body if the calorious foods are not digested properly.
Exercises helps to increase the rate metabolic activities in our body. It strengthens our muscles and bones and burn extra calories of food by utilise it to work out.
Therefore, increasing exercise will help balance the larger than usual calorie intake but It takes a while to see significant results so she should keep it up and be patient. Hence, option C is correct.
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Explain how a battery works. What are some possible materials you could use to make a battery for a circuit?
Answer:
Batteries are systems that store chemical energy and then release it as electrical energy when they are connected to a circuit. Batteries can be made from many materials, but they all share three main components: a metal anode, a metal cathode and an electrolyte between them. The electrolyte is an ionic solution that allows charge to flow through the system. When a load, such as a light bulb, is connected, an oxidation-reduction reaction occurs that releases electrons from the anode while the cathode gains electrons
Explanation:
the function x = (2.5 m) cos[(3 rad/s)t /2 rad] gives the simple harmonic motion of a body. find the following values at t = 7.0 s.
(a) the displacement
m
(b) the velocity (Include the sign of the value in your answer.)
m/s
(c) the acceleration (Include the sign of the value in your answer.)
m/s2
(d) the phase of the motion
rad
(e) the frequency of the motion
Hz
(f) the period of the motion
s
(a)The displacement at t = 7.0 s is approximately -2.19 m. (b) The velocity at t = 7.0 s is approximately 0.94 m/s, with a positive sign.(c) The acceleration at t = 7.0 s is approximately 3.54 m/s^2, with a positive sign. (d)The phase of the motion at t = 7.0 s is approximately 10.5 rad. (e) The frequency of the motion is approximately 0.48 Hz. and (f)The period of the motion is approximately 2.08 s.
(a) To find the displacement at t = 7.0 s, we can substitute the given value of t into the equation:
x = (2.5 m) * cos[(3 rad/s) * (7.0 s) / 2 rad]
Calculating the expression:
x = (2.5 m) * cos(10.5 rad)
x ≈ -2.19 m
Therefore, the displacement at t = 7.0 s is approximately -2.19 m.
(b) To find the velocity, we can take the derivative of the displacement equation with respect to time:
v = -2.5 m * sin[(3 rad/s) * (7.0 s) / 2 rad] * (3 rad/s) / 2 rad
Calculating the expression:
v ≈ 0.94 m/s
The velocity at t = 7.0 s is approximately 0.94 m/s, with a positive sign.
(c) To find the acceleration, we can take the second derivative of the displacement equation:
a = -2.5 m * cos[(3 rad/s) * (7.0 s) / 2 rad] * (3 rad/s) / 2 rad^2
Calculating the expression:a ≈ 3.54 m/s^2
The acceleration at t = 7.0 s is approximately 3.54 m/s^2, with a positive sign.
(d) The phase of the motion can be determined by examining the argument of the cosine function in the displacement equation. In this case, the phase is given by:
Phase = (3 rad/s) * (7.0 s) / 2 rad
Calculating the expression:
Phase ≈ 10.5 rad
The phase of the motion at t = 7.0 s is approximately 10.5 rad.
(e) The frequency of the motion can be determined from the angular frequency, which is given by the coefficient of t in the cosine function:
Angular frequency = 3 rad/s
The frequency can be calculated using the formula:
Frequency = Angular frequency / (2π)
Frequency ≈ 0.48 Hz
The frequency of the motion is approximately 0.48 Hz.
(f) The period of the motion can be calculated using the formula:
Period = 1 / Frequency
Period ≈ 2.08 s
The period of the motion is approximately 2.08 s.
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find the resultant of the following vectors
1. 100N,37 degree east of north+60N.west
2. 100N,37 degree west of north+50N,53 degree east of north
The resultant vector of 1. 130N and 2. 155 N respectively.
A resultant vector is described as a single vector that produces the identical effect as is produced through a number of vectors collectively.
1. 100 N, 37° east of north + 100 N 60°North -west
Let Force₁ = 100 N sin37°
= 100 N × 4/5
= 80 N North
Force₂ = 100 N cos 60°
= 100 N × 1/2
= 50 N
Now, the angle between F₁ and F₂ is 0
Resultant force = \(\sqrt {F₁^{2} +\sqrt F₂^{2} + 2abcos°}\)
= \(\sqrt{(80)^{2} +(50)^{2}+2*80*50}\)
= \(\sqrt{6400+2500+8000}\)
= \(\sqrt{16900}\)
= 130N
2. 100N, 37° west of north + 50N,53° east of north
Force₁ = 100N, 37° west of north
=100N cos 37°
= 100N × 5/4
= 125 N north
Force₂ = 50N,53° east of north
= 50N cos 53°
= 50N × 3/5
= 30N
The angle between F₁ and F₂ is 0°
Resultant force = \(\sqrt {F₁^{2} +\sqrt F₂^{2} + 2abcos°}\)
= \(\sqrt{(125)^{2} +(30)^{2}+2*125*30}\)
= \(\sqrt{15625+900+7500}\)
= \(\sqrt{24025}\)
= 155 N
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Light of wavelength 600 nm in air goes into a medium where the index of refraction is 1.73. What is the frequency of this light in the medium?
I need it with the given,unknowns ans equation and solution
ASAP
Answer:
5.00 × 10^14 Hz
Explanation:
The wavelength of the light in the medium can be calculated by using the formula:
λ = v / f
Where;
λ = wavelength (m)
v = speed of light
f = frequency (Hz)
From the provided information, λ = 600 nm (600 × 10^-9m), v = 3 × 10^8m/s.
λ = v / f
λ = 3 × 10^8/600 × 10^-9
λ = 0.005 × 10^(8+9)
λ = 0.005 × 10^17
λ = 5.00 × 10^14 Hz
The frequency of the light in the medium is 5.00 × 10^14 Hz
What is the weight on Earth of a girl with a mass of 30 kg? The acceleration due to gravity is 9.8 m/s2.294 N3.1 N39.8 N20.2 N
ANSWER:
294 N
STEP-BY-STEP EXPLANATION:
We can calculate the weight as follows:
\(\begin{gathered} W=m\cdot g \\ \end{gathered}\)Replacing:
\(\begin{gathered} W=30\cdot9.8 \\ W=294\text{ N} \end{gathered}\)Weight is 294 N
calculate the charge on the maximum capacitor if a battery of potential difference 1.5 volts is placed across the plates.
If a battery with a potential difference of 1.5 volts is placed across the plates, the maximum capacitor will have a charge of 36 V.
What possible variations are there in a 1.5 volt battery?1 V is, by definition, a potential energy differential between two places equal to one joule for every coulomb of charge. Your query is resolved by that. Between the sites where that potential difference is measured, 1.5V denotes a potential energy differential of 1.5 joules per coulomb.
How do you determine the difference in potential energy?ΔV=VB−VA=ΔPEq. By dividing the potential energy of a charge q that has been transported from point A to point B by the charge, we may define the potential difference between points A and B as VBVA. The joules per coulomb, sometimes known as volts (V) in honor of Alessandro Volta, are the units of potential difference.
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h=ac+mn solve for m
the answer is m= H/n - ac/n
given the element values r1 = 120 ωω, l1 = 50 mh, l2 = 60 mh and ωω = 5340.71 , find the value of the capacitance c1 that results in a purely resistive impedance at terminals ab.
Given the element values r1 = 120 ω, l1 = 50 mh, l2 = 60 mh and ω = 5340.71 , find the value of the capacitance c1 that results in a purely resistive impedance at terminals ab.
Impedance of an inductor, ZL = jωL = j 5340.71 × (50 × 10^-3) = j267.04ΩImpedance of an inductor, ZL = jωL = j 5340.71 × (60 × 10^-3) = j320.88ΩThe circuit can be represented as shown below: The impedance of the circuit can be found by adding the impedance of all elements. {Z} = R + j(ωL2 - ωL1 - 1/ωC1)For the circuit to have a purely resistive impedance, the imaginary part of impedance must be zero.
Hence; ωL2 - ωL1 - 1/ωC1 = 0ωC1 = 1 / (ω(L2 - L1))ωC1 = 1 / (5340.71 × (60 - 50) × 10^-3)ωC1 = 0.187 × 10^-3C1 = 1 / (ω(60 - 50) × 10^-3)C1 = 2.68μFTherefore, the value of the capacitance c1 that results in a purely resistive impedance at terminals ab is 2.68 μF.
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The value of the capacitance C₁ that results in a purely resistive impedance at terminals AB is approximately 1.122 nF.
To find the value of the capacitance C₁, we need to determine the conditions under which the impedance at terminals AB is purely resistive. In this case, the impedance is purely resistive when the reactance due to inductors L₁ and L₂ cancels out with the reactance due to the capacitor C₁.
The reactance of an inductor is given by XL = ωL, where ω is the angular frequency and L is the inductance.
Given values:
r₁ = 120 Ω
L₁ = 50 mH = 50 × 10⁻³ H
L₂ = 60 mH = 60 × 10⁻³ H
ω = 5340.71
Impedance due to inductors:
XL₁ = ωL₁ = 5340.71 × 50 × 10⁻³ = 0.2671855 Ω
XL₂ = ωL₂ = 5340.71 × 60 × 10⁻³ = 0.3206226 Ω
Reactance due to the capacitor:
XC₁ = 1 / (ωC₁)
To achieve a purely resistive impedance, XL₁ + XL₂ = XC₁:
0.2671855 Ω + 0.3206226 Ω = 1 / (ωC₁)
Simplifying and solving for C₁:
0.5878081 Ω = 1 / (ωC₁)
C₁ = 1 / (ω × 0.5878081 Ω)
C₁ ≈ 1.122 nF.
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A thermometer is taken from a room where the temperature is 22∘ C to the outdoors, where the temperature is −3∘ C. After one minute the thermometer reads 9∘C. (a) What will the reading on the thermometer be after 3 more minutes? (b) When will the thermometer read −2∘ C? minutes after it was taken to the outdoors.
(a) To find the reading on the thermometer after 3 more minutes, we can assume that the cooling or warming of the thermometer follows an exponential decay or growth pattern based on the temperature difference between the thermometer and its surroundings.
The general form of the equation for this situation is:
T(t) = Ta + (To - Ta) * e^(-kt)Where:
T(t) is the temperature at time t,Ta is the ambient temperature (temperature of the surroundings),To is the initial temperature of the thermometer,k is a constant related to the rate of cooling or warming, ande is the base of the natural logarithm.In this case, Ta = -3°C (outdoor temperature), To = 22°C (initial thermometer reading after 1 minute), and we need to find T(4) (temperature after 3 more minutes).
Substituting the given values into the equation, we have:
T(4) = -3 + (22 - (-3)) * e^(-k * 4)To find the value of k, we can use the fact that after 1 minute, the thermometer reading is 9°C:
9 = -3 + (22 - (-3)) * e^(-k * 1)Simplifying this equation, we get:
12 = 25 * e^(-k)Dividing the two equations, we have:
(T(4) / 9) = (25 / 12) * e^(-k * 4)Now, we can solve for T(4):
T(4) = 9 * (25 / 12) * e^(-k * 4)Calculating this expression will give you the reading on the thermometer after 3 more minutes.
(b) To find when the thermometer will read -2°C, we can set up a similar equation:
-2 = -3 + (22 - (-3)) * e^(-k * t)Solving this equation for t will give you the time in minutes after the thermometer was taken outdoors when it reaches -2°C.
About ThermometerA thermometer, also known as a temperature gauge, is a tool used to measure temperature. The term thermometer comes from the Latin thermo which means heat and meter which means to measure. There are various working principles of the thermometer, the most commonly used is the mercury thermometer.
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