The velocity of the particle is given by v = 3t - 2t^2 m/s. To find the position x of the particle at time t = 10 seconds, we need to integrate the velocity function:
x = ∫(3t - 2t^2) dt
x = (3/2)t^2 - (2/3)t^3 + C
where C is the constant of integration. We can determine C by using the initial condition x = 0 when t = 0:
0 = (3/2)(0)^2 - (2/3)(0)^3 + C
C = 0
Therefore, the position of the particle after 10 seconds is:
x = (3/2)(10)^2 - (2/3)(10)^3 = 150 - 666.67 = -516.67 m
Note that the negative sign indicates that the particle is 516.67 m to the left of its initial position.
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What is the formula of the force??
F = ma
☆...hope this helps...☆
_♡_mashi_♡_
Answer:
F = MA
Force (Newtons) = Mass (Kilograms) x Acceleration (m/s^2)
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A uniform magnetic field cannot exert a magnetic force on a particle in which of the following circumstances
The particle moves parallel to the field
The particle is at rest.
If the magnetic field is uniform and the magnet dipoles are identical (apart from one being north pole and the other south pole) this two forces cancels out.
What is Uniform magnetic field ?A uniform magnetic field is a magnetic field that has the same magnitude and direction throughout the region under consideration, thus the field lines need to be both parallel and spaced out evenly.
It is represented by an equidistant set of parallel linesAn example of the uniform magnetic field over a wide area is the Earth's magnetic field.Learn more about Uniform magnetic field here:
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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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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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Monochromatic light with wavelength 590 nm passes through a single slit 2. 30 ?m wide and 1. 90 m from a screen. Find the distance between the first- and second-order dark fringes on the screen.
The distance between the first and second-order dark fringe is 0.441 m.
Diffraction of a single slit:
When the light wave passes through a single slit of width which is comparable to the wavelength of the light, then the light wave bends at the edges of the slit. This is called diffraction.
Note: It is assumed that the slit is 3*10^(-3) mm wide. 1 nm = 10^(-9) m and 1mm = 10^(-3) m.
The dark fringes are obtained at the position which satisfies the equation,
d*sinθ = mλ
where d is the slit width, λ is the wavelength of the wave, θ is the angle of diffraction and m denotes the order of the dark fringe.
For first order fringe (m=1), the angle of diffraction θ₁ is,
d*sinθ₁ = λ
sinθ₁ =λ/d
Substitute λ=590 nm, d=3*10^(-3) mm, and solve it.
sinθ₁ =(590 nm)/(3*10^(-3) mm)
sinθ₁ =(590*10^(-9))/ (3*10^(-3)*10^(-3) m)
sinθ₁ =0.196
θ₁ =11.03 degree
Similarly, for second-order fringe (m=2), the angle of diffraction θ₂ is,
d*sinθ₂= 2λ
sinθ₂ =2λ/d
Substitute λ=590 nm, d=3*10^(-3) mm, and solve it.
sinθ₂ =(2*590 nm)/(3*10^(-3) mm)
sinθ₂ =(2*590*10^(-9))/ (3*10^(-3)*10^(-3) m)
sinθ₂ =0.393
θ₂ =23.14 degree
From geometry, the positions x₁ and x₂ of the first and second-order dark fringe from the center of the screen are x₁=Dtanθ₁ and x₂= Dtanθ₂ where D is the distance of the screen from the slit. The distance s between the first-order and second-order dark fringe is then given by,
s=D(tanθ₂-tanθ₁)
Substitute D=1.90 m, θ₁=11.03 degree, and θ₂=23.14 degree in this equation and solve it.
s=1.90*(tan(23.14)-tan(11.03))
s=1.90*(0.427-0.195)
s=0.441 m
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Which definition of a compression is correct?
Compression is the term for the reduction in volume that stress causes in any object or material. Living systems as well as solids, liquids, and gases may all endure compression. For example, the pressure of the atmosphere at sea level is the standard, or reference, for most land animals, but the standard for deep-sea fishes and similar specialized forms is the normal pressure of their environment. In the latter, compression is measured against the system's volume at the standard pressure to which an organism is subjected.
When recording physical findings, which data are recorded first for all systems?
When recording physical findings, which data are recorded first for all systems: Inspection.
The definition of physical is things that are of nature or of the body. An example of physical is plantlife growing in the ground. An example of physical is someone confined to a wheelchair because of disabilities. physical indicates connected with, pertaining to, the animal or human body as a material organism.
Physical health is defined as the condition of your body, taking into consideration everything from the absence of disease to fitness level.
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Electric forces can be explained using fields that extend through space. We can think of these fields as surrounding any charged object. What is one advantage of thinking about the electric force as a field?
Electric forces can be explained using fields that extend through space. We can think of these fields as surrounding any charged object. The force acting on a charged particle at a spot may be calculated by knowing the electric field there. This is further explained below.
What is one advantage of thinking about the electric force as a field?The electric force is the term used to describe the repulsion or attraction between two charged things. Newton's rules of motion define how a force interacts with a particular body.
In conclusion, Space-spanning fields may be used to explain electric forces. These fields may be thought of as enclosing any charged object. Knowing the electric field at a certain location will allow one to compute the force acting on a charged particle there.
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Answer:
(Choice B, Checked, Correct) A field helps predict how electric forces will affect any charge at any location in the field.
Explanation:
CORRECT (SELECTED)
A field helps predict how electric forces will affect any charge at any location in the field.
Modeling the electric force as a field can help us understand electric forces. For instance, we know that any charge in an electric field will experience an electric force. We don’t need to measure the force on each charge to know its direction.
13. Which compound is most reactive?
ethene
ethyne
ethane
Answer:
Ethyne consists of a triple bond that is most easier to be broken as compared to that of ethyne with a double bond and benzene single bonds. Therefore ethyne is most reactive among the given options.
Explanation:
Answer: Ethyne
Explanation:
Calculate the speed of light in glycerol (n = 1.47). Use the GRASS method, write your solution on paper and insert an image of it below
The velocity of light in glycerol is 2.04 × 10⁸ m/s.
To find the answer, we need to know about the expression of velocity of light in any medium.
What's the expression of the speed of light in any medium?Mathematically, the speed of light in any medium= C/nC = speed of light in vaccum, n = refractive index of the mediumWhat's the speed of light in glycerol having refractive index of 1.47?Speed of light in glycerol= 3×10⁸/1.47 = 2.04 × 10⁸ m/s
Thus, we can conclude that the velocity of light in glycerol is 2.04 × 10⁸ m/s.
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In which direction is the magnetic force acting on the charge? into the screen out of the screen up down
The direction in which the magnetic force is acting on the charge is upwards.
What is Magnetic force?This is the attraction and repulsion which usually occurs during the motion of electrically charged particles.
In the magnetic field, the charge is moving to the left. Therefore the direction the magnetic force is acting on the charge is upwards which is gotten via right hand rule.
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A star is moving toward the earth at 250 km/s. What can you say about the wavelength of the h-alpha absorption line that you would detect in the star's spectrum?
The wavelength of the h-alpha absorption line that you would detect in the star's spectrum will be 54.67 * [tex]10^{-2}[/tex] nm
If the object is moving towards or away from us with some radial velocity, shifts can be observed in the location of the absorption
since, material is moving towards us a shift to shorter wavelength will be observed
shift = rest wavelength * ( radial velocity / speed of light )
= 656 * [tex]10^{-9}[/tex] * (250 * [tex]10^{3}[/tex] / 3 * [tex]10^{8}[/tex] )
= 54.67 * [tex]10^{-2}[/tex] nm
The wavelength of the h-alpha absorption line that you would detect in the star's spectrum will be 54.67 * [tex]10^{-2}[/tex] nm
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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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A laser is shone through a double slit and a particular interference pattern is observed on a screen some distance away. If the separation between the openings is increased, the distance between the fringes will
The distance between the fringes (y) will decrease.
What is meant by double slit?
In the double-slit experiment, a beam of light is aimed at a barrier with two vertical slits. After the light passes through the slits, the resulting pattern is recorded on a photographic plate. When one slit is covered, a single line of light is displayed, aligned with whichever slit is open.To solve this problem it is necessary to apply the concepts related to double split conditions. The equation describing this effect is given by
dsinθ = mλ
λ = dsinθ /m
λ = wavelength
d= distance between slits
m = Any integer, representing the repetitions of the spectrum
If θ is small, then sinθ = y/L and the previous equation can be given as
λ = dy /mL
L = Length from screen with slits
y = distance between fringes
From this last equation we can realize that if the separation between the openings (d) is increased, the distance between the fringes (y) will decrease.
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What combination of ester and bromo-grignard reagent could you use to prepare the following tertiary alcohol?.
Combination to prepare tertiary alcohol:
A Grignard reagent interacts first with an ester to produce a ketone, which then undergoes further reactions to produce tertiary alcohol.
Process to form tertiary alcohol:
Methyl esters react with two moles of a Bromo-Grignard reagent to give tertiary alcohol.A ketone is produced when one mole of Grignard reagent is added to the carbon-oxygen double bond, creating an unstable intermediate. Then, a second mole of the reagent is added to the ketone, resulting in tertiary alcohol with at least two identical groups linked to the hydroxyl-bearing carbon. With acid halides and anhydrides, an identical series of reactions take place.Learn more about Grignard reagent here,
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Each minute, 73,800 m3 of water passes over a waterfall 96.3 m high. Assuming that 58.0% of the kinetic energy gained by the water in falling is converted to electrical energy by a hydroelectric generator, calculate the power output of the generator. (The density of water is 1000 kg/m3 .)
Given,
V= 73800[tex]m^{3}[/tex]
H= 96.3 m
D= 1000 kg/[tex]m^{3}[/tex]
So, mass m=V*D=73800*1000=738*[tex]10^{5}[/tex] kg
Power= Energy/time= mgH/t = 0.58*(738*[tex]10^{5}[/tex] *9.81*96.3)/60
=6.74*[tex]10^{8}[/tex] W
So the power output is 6.74*[tex]10^{8}[/tex] Watt.
PowerPower in physics is the quantity of energy transported or converted per unit time. The watt, which is equal to one joule per second in the International System of Units, serves as the unit of power. Power is occasionally referred to as activity in earlier writings. Power has relationships with other factors. For instance, the power required to move a ground vehicle is equal to the product of the traction force on the wheels and the velocity of the vehicle. A motor's output power is calculated by multiplying its torque output by the angle of rotation of its output shaft. Similar to this, the power lost by an electrical component in a circuit is a function of both its voltage and current.
Each minute, 73,800 m3 of water passes over a waterfall 96.3 m high. Assuming that 58.0% of the kinetic energy gained by the water in falling is converted to electrical energy by a hydroelectric generator, calculate the power output of the generator. (The density of water is 1000 kg/m3 .)
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What tool would be used to find the weight of a ballon that is filled with water is it a. graduated cylinder b. metric ruler c. spring scale d. thermometer
Spring scale or a spring balance is a type of measuring device that is used to measure the weight of the object.
Spring scale can be defined as:
Spring balance is also known as the newton meter, which consists of a spring fixed at one end to a hook. The hook bears the weight of the object and marks on the measuring scale. The weight of the balloon can be measured with the spring scale. The balloon can be tied to the hook of the balance, and the weight it carries is shown on the measuring scale.Thermometer issued to measure the heat, graduated cylinder is used in labs to calculate the volume of a substance in milliliters, and metric ruler issued to measure the length of the object in centimeters.When was the first spring scale made?Richard Slater of Bilston, somewhere near Wolverhampton, invented the first spring scale in Britain around 1770. He founded the George Salter & Co. company with his nephews George and John, which is still a significant manufacturer of balances and scales.Learn more about spring balance in:
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an engine has capacity of doing 20000j one work per minute.What is the power of the engine
Answer:
[tex]\huge\boxed{\sf P = 333.33 \ Watts}[/tex]
Explanation:
Given data:Work = W = 20,000 Joules
Time = t = 1 minute = 60 seconds
Required:Power = P = ?
Formula:[tex]\displaystyle \boxed{P =\frac{W}{t} }[/tex]
Solution:Substitute the givens in the above formula
[tex]\displaystyle P =\frac{20,000}{60} \\\\P = 333.33 \ Watts\\\\\rule[225]{225}{2}[/tex]
Answer:
333.33watt
Explanation:
power=work/time
where:- time=1mins=60sec
work=20000joules
power=20000/60
=333.33watt
(d) A force of 30 N is required to accelerate a skateboard at 1.5 m/s². How much force
would accelerate the same skateboard at 6.0 m/s²?
Answer:
[tex]\huge\boxed{\sf F = 120\ N}[/tex]
Explanation:
Firstly, we need to find the mass of the skateboard.
Using formula:
F = maWhere,
Force = f = 30 NAcceleration = a = 1.5 m/s²30 = m (1.5)
Divide 1.5 to both sides
30/1.5 kg = m
20 kg = m
m = 20 kgNow, finding the force:Using the same formula.
F = maWhere,
mass = m = 20 kgAcceleration = a = 6 m/s²F = (20)(6)
F = 120 N[tex]\rule[225]{225}{2}[/tex]
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 uranium-235 to be a mole of “reactions” (molar mass = 235 grams).
2. 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 uranium-235 to be a mole of “reactions” (molar mass = 235 grams).
200 MeV of energy is the energy released per kilogram of fuel used.
E1/E2=7.61=8 (E1 , E2 are energies)
U is equal to 1 kilogram or 1000 g.
There are 6.02310 23 atoms in one mole, or 235 g, of uranium. Therefore, 6.02310 23 atoms are present in 1000 g of 92/235 U.
It is understood that one atom releases 200 MeV of energy during its fission.
As a result, the energy released from the fission of one kilogram of 92/235 is given by E 2 = 6.02310 23 1000200/235 =5.10610 26 MeV E1/E2=7.61=8
In light of this, the energy released during the fusion of one kilogram of hydrogen is roughly eight times greater than the energy generated during the fission of one kilogram of uranium.
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Answer:
200 MeV of energy is the energy released per kilogram of fuel used.
E1/E2=7.61=8 (E1 , E2 are energies)
U is equal to 1 kilogram or 1000 g.
There are 6.02310 23 atoms in one mole, or 235 g, of uranium. Therefore, 6.02310 23 atoms are present in 1000 g of 92/235 U.
It is understood that one atom releases 200 MeV of energy during its fission.
As a result, the energy released from the fission of one kilogram of 92/235 is given by E 2 = 6.02310 23 1000200/235 =5.10610 26 MeV E1/E2=7.61=8
In light of this, the energy released during the fusion of one kilogram of hydrogen is roughly eight times greater than the energy generated during the fission of one kilogram of uranium.
with the enterprise of video-gaming technology growing every year, researchers have ercently become interested in the effects of violent video games
Meta-analysis indicates that violent video games increase aggressive thoughts, aggressive affect, and aggressive behavior.
What are the effects of Violent video games ?Children who play violent video games have increased aggressive cognitions, aggressive behavior, psychological arousal as well as antisocial behavior.
Furthermore, exposure to violence in the games leads to desensitization- “a reduction in emotion-related physiological reactivity to real violence”The downside of video games is that the more time children and teens spend playing violent video games the more likely they are to display aggressive behavior.Learn more about Violent video games here:
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How stars are twinkling in the sky?
Answer:
As light from a star races through our atmosphere, it bounces and bumps through the different layers, bending the light before you see it. Since the hot and cold layers of air keep moving, the bending of the light changes too, which causes the star's appearance to wobble or twinkle.
A single loop of wire with a radius of 7.5 cm rotates about a diameter in a uniform magnetic field of 1.6 T. To produce a maximum emf of 1.0 V, it should rotate at:
To produce a maximum emf of 1.0 V, the angular speed should rotate at 35.368 rad/s.
What is a uniform magnetic field?A uniform magnetic field is depicted by parallel straight lines that are distributed uniformly. The flux path is the same as the path of a tiny magnet's north-seeking pole. The flux channels are continuous, producing closed loops.
For a single loop of wire with a radius of 7.5 cm that rotates about a diameter in a uniform magnetic field of 1.6T. We need to determine the angular speed of rotation for it to produce a maximum electromotive force (emf) of 1.0 V.
Given that:
The radius = 7.5 cm, to convert it to meters, we will divide it by 100.
= (7.5/100) m
= 0.075 m
The area A of the wire is computed by using the formula:
A = πr²
A = π(0.075)²
A = 0.01767 m²
Imagine a coil with N turns with area A rotating at a constant angular velocity (q) inside a flux density of a (B) of a magnetic field, with its axis parallel to the field.
The maximum e.m.f can be computed by using the formula:
[tex]\mathbf{E_o = BAN \omega}[/tex]
Where;
Magnetic field (B) = 1.6 TMaking the angular speed (ω) the subject of the formula, we have:
[tex]\mathbf{\omega =\dfrac{E}{BNA}}[/tex]
ω = 35.368 rad/s
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Would the numerical values of the thermal coefficients would have been the same if the temperatures had been measured in Fahrenheit instead of Celsius
The numerical values of the thermal coefficients would change if the temperatures had been measured in Fahrenheit instead of Celsius.
Why would the numerical values of thermal coefficients change if the temperature is measured in Fahrenheit instead of Celsius?The amount it expands is, of course, a property of the material and cannot be altered. When we use alternative units of measurement, though, we communicate this differently. It will therefore be 9/5 of its value in "per degree C" if it is stated as "per degree F".For example:Saying the speed of light is 299792458 m/s, or 186282.397 miles per second, is equivalent. The representation alters but not the speed of light.What is the Coefficient of thermal expansion?The rate at which a material expands as temperature rises is known as the coefficient of thermal expansion (CTE). The material is assumed to still be in its solid or fluid form as this coefficient is calculated at constant pressure and without a phase transition.A material will expand more in response to heat if its coefficient of thermal expansion is higher.T o learn more about thermal coefficients visit:
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A boy moves down a waterslide from a height of 10 meters. what is his velocity when he hits the water at the bottom of the slide?
The velocity of the boy when he hits the water at the bottom of the slide is 14 m/s.
Velocity of the boy at the bottom of the slide
The velocity of the boy when he hits the water at the bottom of the slide is calculated from the principle of conservation of energy.
K.E = P.E
¹/₂mv² = mgh
v² = 2gh
v = √2gh
where;
h is height of the boyg is acceleration due to gravityv = √(2 x 9.8 x 10)
v = 14 m/s.
Thus, the velocity of the boy when he hits the water at the bottom of the slide is 14 m/s.
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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.Find the location of the object at times 0,1,2,. 1,000. Save the x-coordinates of the object at each time in a 1 ×1001 row vector named a11. Save t
The x-coordinates of the object at each time in a 1 ×1001 row vector named a11 using coordinate.
Coordinates are distances or angles, represented by numbers, that uniquely perceive factors on surfaces of dimensions (second) or in space of 3 dimensions.
Coordinates are hard and fast values that help to expose the exact position of a factor within the coordinated aircraft. A coordinate aircraft is a 2nd plane that's shaped by the intersection of perpendicular traces known as the x-axis and y-axis.
clear all
close all
alpha=-0.003;
w=0.05;
A=[1-alpha,-w;w,1-alpha];
A_inv=inv(A);
x0=[1;-1];
ans1=[1];
ans2=[-1];
for i=1:1000
x0=A_inv*x0;
ans1(i+1)=x0(1);
ans2(i+1)=x0(2);
end
ans1
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The Effect of the Light Intensity and Light Distances of LED and QTH Curing Devices on the Hardness of Two Light-Cured Nano-Resin Composites
Effective polymerization of the composite resin is essential to obtain long term clinical success and has a great importance obtaining improved mechanical properties.
What is the purpose of Effective polymerization of the composite resin ?The purpose of this study was to measure the effect of the light intensity of LED and QTH curing devices in relation to the light distances, on the hardness (KHN) of two light cure nano-resin composite.
Material and Methods: The top and bottom surfaces of the two nanofill composite specimens were evaluated. Two LED and two QTH light curing devices were used at nine different distances. Light intensity was measured with two radiometers placed at these same distances from the curing tip.Learn more about Light intensity here:
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Calculate the net force on particle q1. First, find the direction of the force particle q2 is exerting on particle q1. Is it pushing to the right, or to the left?
The net force on particle particle q1 is 13.06 N towards the left.
Force on q1 due to q2
F(12) = kq₁q₂/r₂
F(12) = (9 x 10⁹ x 13 x 10⁻⁶ x 7.7 x 10⁻⁶)/(0.25²)
F(12) = -14.41 N (towards left)
Force on q1 due to q3F(13) = (9 x 10⁹ x 7.7 x 10⁻⁶ x 5.9 x 10⁻⁶)/(0.55²)
F(13) = 1.352 N (towards right)
Net force on q1F(net) = 1.352 N - 14.41 N
F(net) = -13.06 N
Thus, the net force on particle particle q1 is 13.06 N towards the left.
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Answer:
its +
Explanation:
What is the voltage drop across the 10.0 ohm resistor?
The voltage drop across the 10.0 Ω resistor is c)120V
What is voltage drop in a circuit?A voltage drop is an amount the voltage lowers when crossing a component from the negative side to the positive side in a series circuit. If you positioned a multimeter across a resistor, the voltage drop would be the quantity of voltage you are reading.
Voltage drop is the reduction of electrical potential along the way of a present flowing in an electrical circuit.since, all three resistors 10Ω, 20 Ω, and 30Ω are in series combination this indicates that the voltage drop across each resistor will be the same as the total voltage drop in the circuit because in parallel combination voltage stay identical in the circuit buy current gets divided in each branchhence, the voltage drop across the 10.0 Ω resistor = 120 V
correct answer c) 120 V
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