Explanation:
A vertical column of elements in the periodic table is called a group
A horizontal row of elements in the periodic table is called a period
Atoms of elements in the same group have the same number of valence electrons
As you move from left to right on the periodic table, the atomic number increases
Answer: the first one is group
2. Period
3. Number of valence elections
4. increases
Which section from the article BEST explains why wavelength and frequency are dependent on each other? (A) "Amplitude And Height" (B) "Wavelength And Cycle" (C) "Frequency And Period" (D) "Speed"
A ballet dancer whose weight is 60 kg performs a move on one foot during which she
applies a pressure of 1,500,000 Pa on the ground. Is she likely to be standing with her foot
flat on the ground, or is she on tiptoe?
She is likely to have tip toed as the pressure applied is high.
What is pressure?Pressure is a force per unit area, typically measured in units of Pascal (Pa), atmospheres (atm), or pounds per square inch (psi). It is the result of the force exerted by a gas or liquid against a surface.
We have to note that the pressure that has a value of about 1,500,000 Pa is quite a large pressure and we can only have such a pressure when we have a small surface area upon which the pressure have been applied.
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what will happen if no force is exerted on a moving object?
Explanation:
If no force is exerted on a moving object, it will continue to move at a constant velocity. This is described by Newton's first law of motion, which states that an object will remain at rest or continue to move at a constant velocity in a straight line unless acted upon by an external force. In other words, if no net force acts on an object, the object will maintain its velocity, neither speeding up nor slowing down.
A constant horizontal F force began to act on the initially immovable body placed on a horizontal surface. After t time the force ceased to act, and after time 3t from the start of the movement the body stopped. Find the coefficient of friction between the body and the surface if the body mass is m.
Answer:
The coefficient of friction is (F/(19.6·m)
Explanation:
The given parameters are;
The force applied to the immovable body = F
The time duration the force acts = t
The time the body spends in motion = 3·t
The acceleration due to gravity, g = 9.8 m/s²
From Newton's second law of motion, we have;
The impulse of the force = F × t = m × Δv₁
Where;
Δv₁ = v₁ - 0 = v₁
The impulse applied by the force of friction, \(F_f\) is \(F_f\) × (3·t - t) = \(F_f\) × (2·t)
Given that the motion of the object is stopped by the frictional force, we have;
The impulse due to the frictional force = Momentum change = m × Δv₂ = \(F_f\) × (2·t)
Where;
Δv₂ = v₂ - 0 = v₂
Given that the velocity, v₂, at the start of the deceleration = The velocity at the point the force ceased to act, v₁, we have;
m × Δv₂ = \(F_f\) × (2·t) = m × Δv₁ = F × t
∴ \(F_f\) × (2·t) = F × t
\(F_f\) = F × t/(2·t) = F/2
The coefficient of dynamic friction, \(\mu _k\) = Frictional force/(The weight of the body) = (F/2)/(9.8 × m)
\(\mu _k\) = (F/(19.6·m)
The coefficient of friction, \(\mu _k\) = (F/(19.6·m)
a liquid of density 1457 kg/m3 flows through two horizontal sections of tubing joined end to end. in the first section the cross-sectional area is 4.36 cm2 , the flow speed is 3.4 m/s, and the pressure is 167 kpa . in the second section the cross-sectional area is 2.89 cm2.
A. Assume incompressible flow
Since volumtric flow rate will be same in both section
Q1 = Q2
A1*V1 = A2*V2
V2 = A1*V1/A2
V2 = 6.9*10^-4*288*10^-2/(3.3*10^-4)
V2 = 6.02 m/sec
B. using bernoulli's equation:
P1/rho + v1^2/2 + g*h1 = P2/rho + v2^2/2 + g*h2
Since pipes are horizontal
h1 = h2
P1/rho + v1^2/2 = P2/rho + v2^2/2
P2 = P1 + (v1^2 - v2^2)*rho/2
P2 = 1.5*10^5 + (2.88^2 - 6.02^2)*1100/2
P2 = 1.35*10^5 Pa
The rate of change in position of an object in any course. Speed is measured because the ratio of distance to the time wherein the distance became included. Speed is a scalar amount because it has handiest route and no significance.
Velocity can be notion of as the rate at which an object covers distance. A quick-moving object has a high speed and covers a notably big distance in a given amount of time, whilst a sluggish-shifting item covers a relatively small amount of distance in the same amount of time.
The primary unit or the S.I. unit of velocity is m/s or ms?¹.
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A person on a daily diet of 2,500 calories should get no_more than
calories from fat each day.
Answer:
35%
Explanation:
Answer:
its 83
Explanation:
Details The force on a particle is described by 10x³ - 5 at a point x along the x-axis. Find the work done in moving the particle from the origin to x = 2.
Answer:
To find the work done in moving the particle from the origin to x = 2, we need to integrate the force over the given interval.
The work done (W) is calculated by integrating the force function with respect to displacement (dx) from the initial position (0) to the final position (2):
W = ∫(0 to 2) (10x³ - 5) dx
Integrating the force function, we get:
W = ∫(0 to 2) (10x³ - 5) dx = [2.5x⁴ - 5x] evaluated from 0 to 2
Now, substituting the upper limit (2) and lower limit (0) into the equation:
W = [2.5(2)⁴ - 5(2)] - [2.5(0)⁴ - 5(0)]
= [2.5(16) - 10] - [0 - 0]
= 40 - 10
= 30
Therefore, the work done in moving the particle from the origin to x = 2 is 30 units of work.
Explanation:
what is the average rotational latency of a hard drive rotating at 7,200 rpm or 120 revolutions per second?
The average rotational latency of a hard drive rotating at 7,200 rpm or 120 revolutions per second is 4.16 ms.
What is the average rotational latency?Half as long as it takes the disk to complete a full spin, that is how long the rotational delay is. Rotational speed is the rate at which an object revolves or rotates. It is determined by how many rotations an item completes in a given amount of time, unlike linear speed. Rotational speed is calculated as rotations per unit of time, whereas linear speed is calculated as distance per unit of time.Rotational delay is at its worst at 7200 RPM and is typically half that at 8.33 milliseconds (4.17 ms).Rotational lag on average: 4.16 msTypical search time: 8 msMax seek: 10.5 msTo learn more about rotational latency refer to:
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What is Physics? How is Physics used in your everyday life? Give at least two examples and explain your answer. You need at least 3
Answers:
The transportation industry is no stranger to the manipulation of everyday physics. Cars and trains utilize the wheel, which provides a smooth, steady motion.
The ears hear sounds which occur through the movement of air molecules, and the chemistry that drives all of biology depends on the physics of energy and molecules. Every day, for example, plants absorb sunlight, water, and carbon dioxide, creating glucose and releasing oxygen as a byproduct.
Brainlist pls!
Part B
Close the simulation window for oxygen and return to the Cool Molecules Explore page.
Next, click C and then O in the periodic table. Find and view carbon dioxide (CO2) and view all the available vibrational modes of the molecule. In the table below, record the names of these vibrational modes and describe the vibration of the molecule in each mode.
Note: A molecule may have more than one way it can vibrate in each mode (a “state.”) These are shown in the simulation by multiple molecules vibrating side-by-side, so you can compare their motions. Record the number of unique possible states for each mode in the table.
Answer:
10 000
Explanation:
which of the following identifies a limitation in how the representations above describe a system of coupled reactions?
According to the question C. The values of ΔG° for each reaction are not shown.
What is reaction?A reaction is a chemical process that takes place within a system and is researched using thermodynamic concepts. The study of energy transfer and the behaviour of systems, especially chemical reactions, is the main emphasis of thermodynamics.
Energy changes, notably in the form of heat and work, are a part of thermodynamic reactions. The response has the ability to work with or be worked on by its environment, as well as to either absorb or emit heat energy from it. Enthalpy (H), entropy (S), and Gibbs free energy (G) are examples of thermodynamic parameters that can be used to measure the energy changes brought about by reactions.
The thermodynamic favorability for each component reaction that the combined reaction in a coupled pair of reactions is crucial to comprehending how coupled reactions function. Because of the combination of the unfavorable disintegration of iron oxide into its constituent parts (G°>0) and the advantageous burning of carbon to produce carbon dioxide (G°0), the blast furnace reaction in this instance is favorable.
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Complete Question:
A 4-kg plastic tank that has a volume of 0.18 m3 is filled with liquid water. Assuming the density of water is 1000 kg/m3, determine the weight of the combined system.
Answer:
weight= 1805.04 NExplanation:
In this problem we are expected to find the weight of the plastic tank and the weight of the equal volume of water
Given that
density of water = 1000 kg/m^3
volume of plastic tank is same as the volume of water= 0.18 m^3
we need to solve for the mass of the water
we know that density is = mass/volume
1000= mass/0.18
mass= 1000*0.18
mass= 180 kg
the total mass of the combined system is
4+180= 184 kg
the weight = mg (assuming g= 9.81 m/s^2)
weight = 184*9.81
weight= 1805.04 N
Lava that cools quickly forms
Answer:
extrusive igneous rock
Explanation:
calculate the centripetal force on the end of a 66.0 m (radius) wind turbine blade that is rotating at 0.47 rev/s. assume the mass is 3.4 kg.
Centripetal force on the end of a 66.0 m (radius) wind turbine blade that is rotating is calculated as = 1.23 *10^-4 N.
What is Centripetal force?Centripetal force is the force acting on the object in curvilinear motion directed towards axis of rotation or the center of curvature and the unit of centripetal force is newton. It is directed perpendicular to the direction of the displacement of the object.
Given, radius= 66m mass is 3.4 kg
Given 0.47 rev/s
Angular velocity = 0.47 * 2π / 60
= 0.049 m/s
Centripetal force = mass * velocity²/radius
= 3.4 * 0.049² /66
Centripetal force= 1.23 *10^-4 N
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7. Tad drops a cherry pit out the car window 5.0 m above the
ground while traveling down the road at 35m/s. How far,
horizontally, from the initial dropping point will the pit hit the
ground?
8. Draw a picture of the situation in question 7
The distance horizontally, from the initial dropping point that the pit hit the ground is 11.2 meters.
How do we calculate for distance?
The formula of distance is Distance = Speed x Time which is measured in meters.
7. The height of the car window h = 5.0 metres
The velocity of the car is 35 m/s.
The horizontal velocity of the cherry pit when it is released is then the same as that of the car Vx = 35m/s
The dropped cherry pit falls freely under gravity with a vertical downward acceleration equal to the acceleration due to gravity, g
Initially, the pit has no vertical component of velocity.
Therefore the time it takes to reach the ground t = \(\sqrt{} \frac{2h}{g}\)
t = √10/9.8
t= 0.32 seconds
The horizontal component of velocity is a constant, since there are no forces acting in the horizontal direction.
Therefore the horizontal distance travelled by the pit by the time it hits the ground is Vx * time
= 35 x 0.32
= 11.2 meters
attached is a picture of the situation above, where Vx = 35m/s
h = 5.0 meters
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The transition for the cadmium 228.8 nm line is a 1S0 → 1S1 transition, a) calculate the ratio of N*/N0 in an air-acetylene flame (2500 K), given that the degeneracy of the ground state is 1 and the degeneracy of the excited state is 3 and that the excited state of the cadmium atom lies 8.68 x 10-19 J/atom above the ground state; b) what percent of the atoms is in the excited state? c) If an argon plasma (10,000K) is used instead of the air-acetylene flame, what percent of atoms will be in the excited state?
The required,
a) \(N'/N_0\) ≈ 0.408 (40.8%)
b) Approximately 40.8% of the atoms are in the excited state.
c) \(N'/N_0\) ≈ 0.066 (6.6%)
To calculate the ratio of N'/N_0 in an air-acetylene flame, we can use the Boltzmann distribution equation:
\(N'/N_0 = (g'/g_0) * exp^{(-\triangle E/kT)}\)
a) Calculate the ratio of \(N'/N_0\) in an air-acetylene flame (2500 K):
Given:
\(g_0 = 1\) (degeneracy of the ground state)
\(g' = 3\) (degeneracy of the excited state)
\(\triangle E = 8.68 * 10^{(-19)}\)J/atom (energy difference between the excited and ground states)
T = 2500 K (temperature)
\(N'/N_0 = (3/1) * e{(-8.68 * 10^{19} / (1.38 * 10^{-23} * 2500 ))\)
Calculating the exponential term:
exp(-8.68 x 10⁻¹⁹ J/atom / (1.38 x 10⁻²³ J/K * 2500 K)) ≈ 0.136
Therefore, the ratio of \(N*/N_0\) in an air-acetylene flame is:
\(N'/N_0\) ≈ (3/1) * 0.136 ≈ 0.408
b) To determine the percent of atoms in the excited state, we can multiply the ratio \(N'/N_0\) by 100:
Percent in excited state = \(N'/N_0 * 100\)
Percent in excited state ≈ 0.408 * 100 ≈ 40.8%
Therefore, 40.8% of the atoms will be in the excited state.
Similarly,
c) If an argon plasma (10,000 K) is used instead of the air-acetylene flame, we can repeat the calculations using the new temperature:
The ratio of \(N*/N_0\) in an argon plasma is:
N'/N0 ≈ (3/1) * 0.022 ≈ 0.066
To determine the percent of atoms in the excited state:
Percent in excited state = \(N'/N_0 * 100\)
Percent in excited state ≈ 0.066 * 100 ≈ 6.6%
Therefore, 6.6% of the atoms will be in the excited state in an argon plasma.
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A block with a mass of 55 kg is pulled with a force of 220 N. Assuming a frictionless surface, what will be the acceleration of the block?
OA
0.25 m/s2
о
B
4.0 m/s2
O.
9.8 m/s2
Oo. 22 m/s2
2022 huminate Education
PLS HELP HELO ME!!!
Answer:
B) 4 m/s²
Explanation:
Since the surface it's kept on is frictionless, the net external force acting on the block will be 220 N.Mass of the block = 55 kg\( \boxed{ \sf{ F= m \times a}}\)
Here,
F is the net external force applied to an object,m is the mass of that object, anda is the acceleration it acquires.Substituting the respective values for F and m:
==> 220 = 55 × a
==> 220 = 55 × a
dividing the equation by 55:
==> 4 = a
Therefore, an object of 55 kg when pulled across a frictionless surface by a force of 220 N accelerates at 4 (m/s)/s
What is the acceleration of a car that goes from zero to 60m/s in 15s?
Answer:What is the acceleration of a car that moves from rest to 15.0 m/s in 10.0 s? Vi=0, vf= 15.0 m/s,t=10.0s, a=? a= vf =vi/tA=15.0m/s-0m/s/10.0s = 15.0s/10.0s m/s*1/s =1.50 m/s^2 11.
Explanation:
if the boy and his bike actually had a mass of 40 kg instead of 50 kg how much force would it take for him to accelerate at 0.8 m /s2
please help will give 15 points plus brainless
Answer:
F = 32 [N]
Explanation:
To solve this problem we must use Newton's second law, which tells us that the sum of forces on a body is equal to the product of mass by acceleration.
∑F = m*a
where:
F = forces applied [N] (units of Newtons)
m = mass = 40 [kg]
a = acceleration = 0.8 [m/s²]
Now replacing:
\(F=m*a\\F = 40*0.8\\F = 32 [N]\)
find the odd one out: asteroids on the asteroid belt, a comet, the moon or Saturn
Answer:
Explanation:
A change in an object’s motion—such as Xander speeding up on his scooter—is called acceleration. Acceleration occurs whenever an object is acted upon by an unbalanced force. The greater the net force acting on the object, the greater its acceleration will be, but the mass of the object also affects its acceleration. The smaller its mass is, the greater its acceleration for a given amount of force. Newton’s second law of motion summarizes these relationships. According to this law, the acceleration of an object equals the net force acting on it divided by its mass.
The maximum torque on a flat current-carrying loop occurs when the angle between the plane of the loop's area and the magnetic field vector is?
The maximum torque on a flat current-carrying loop occurs when the angle between the plane of the loop's area and the magnetic field vector is 90 degrees.
When a current-carrying loop is placed in a magnetic field, a torque is exerted on the loop.
This torque is given by the formula τ = μ x B x sinθ,
where τ is the torque,
μ is the magnetic moment of the loop (equal to the product of the current and the area of the loop),
B is the magnetic field strength, and θ is the angle between the loop's area and the magnetic field vector.
To find the maximum torque, we need to maximize the value of sinθ.
The maximum value of sinθ is 1, which occurs when the angle θ is 90 degrees (sin90° = 1).
Therefore, the maximum torque on a flat current-carrying loop occurs when the angle between the plane of the loop's area and the magnetic field vector is 90 degrees.
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An energy storage system based on a flywheel (a rotating disk) can store a maximum of 3.7 MJ when the flywheel is rotating at 16000 revolutions per minute.
The moment of inertia of the flywheel is 2.63 kg-\(m^{2}\)
It is given that,
The maximum energy stored on the flywheel is given as
E=3.7MJ= 3.7×\(10^{6}\) J
Angular velocity of the flywheel is 16000\(\frac{rev}{min}\) = 1675.51\(\frac{rad}{sec}\)
So to find the moment of inertia of the flywheel. The energy of a flywheel in rotational kinematics is given by :
E = \(\frac{1}{2}\)\(Iw^{2}\)
By rearranging the equation:
I = \(\frac{2E}{w_{2} }\)
I = 2.63 kg-\(m^{2}\)
Thus the moment of inertia of the flywheel is 2.63 kg-\(m^{2}\).
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what separates inner planets from outer planets in our solar system?
The separates inner planets from outer planets in our solar system is their location relative to the asteroid belt.
The inner planets, also known as terrestrial planets, consist of Mercury, Venus, Earth, and Mars. These planets are located closer to the Sun and are characterized by their solid, rocky surfaces, small size, and relatively high densities. On the other hand, the outer planets, also called gas giants or Jovian planets, include Jupiter, Saturn, Uranus, and Neptune. These planets are situated beyond the asteroid belt, which is a region filled with numerous small celestial bodies and debris.
Outer planets are much larger, have lower densities, and are primarily composed of gases such as hydrogen and helium, with possible solid cores. Additionally, inner planets have fewer moons and no ring systems, while outer planets possess numerous moons and distinct ring systems. The differences in composition, size, and other characteristics between inner and outer planets are a result of their distinct formation processes and positions within the solar system. So therefore the separates inner planets from outer planets in our solar system is their location relative to the asteroid belt.
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An effort of 20N is applied to lift a load.If the load arm and effort arm are 15cm and 60cm respectively,calculate the load.
Answer:
Load = 80 Newton
Explanation:
Given the following data:
Effort = 20 N
Load arm = 15 cm
Effort arm = 60 cm
Conversion:
100 cm = 1 meters
15 cm = 15/100 = 0.15 meters
60 cm = 60/100 = 0.6 meters
To calculate the load, we would use the expression;
Effort * effort arm = load * load arm
Substituting into the expression, we have;
20 * 0.6 = load * 0.15
12 = load * 0.15
Load = 12/0.15
Load = 80 Newton
A car drives in a circle at 56 km/hr. Which of
the following accurately describes the
motion of the car? The car's -
speed and velocity are both constant.
velocity is constant but speed is changing.
speed is constant but velocity is changing.
speed and velocity are both changing.
Answer:
Speed is constant but velocity is changing
Explanation:
Speed is a scalar quantity, meaning magnitude only. Velocity is a vector quantity, meaning magnitude and direction. If you're moving in a circle at a constant speed, the speed is constant but the direction is constantly changing. Therefore, the speed is constant but velocity changes.
A student has been assigned to measure the density of an irregularly shaped piece of metal.which apparatus would be more appropriate to carry out this task
Complete Question:
A student has been assigned to measure the density of an irregularly shaped piece of metal.
Which apparatus would be most appropriate to carry out this task?
Group of answer choices
A. ruler, balance
B. beaker, crucible
C. flask, Bunsen burner
D. graduated cylinder, balance
Answer:
D. graduated cylinder, balance
Explanation:
In this scenario, A student has been assigned to measure the density of an irregularly shaped piece of metal.
The apparatus which would be most appropriate to carry out this task is a graduated cylinder and balance.
A graduated cylinder can be defined as a measuring cylinder used for the measurement of the volume of an irregularly shaped piece of metal or liquids. It is typically marked with horizontal lines on its side as units of measurement for volume. The balance is then used to weigh the metals mass.
A new ride being built at an amusement park includes a vertical drop of 70.0 meters. Starting from rest, the ride vertically drops that distance before the track curves forward. The velocity at the bottom of the drop is 12.0 m/s and the mass of the cart and passengers is 3.5 x 104 kg.
a. Calculate the potential, kinetic and total energy at the top.
b. Calculate the potential, kinetic and total energy at the bottom.
c.Is the total energy at the top equal to the total energy at the bottom? Justify your observation.
The potential, kinetic and total energy at the top are 2.38 x 10⁷ Joule, 0 Joule, 23.8 x 10⁶ Joule respectively and the potential, kinetic and total energy at the bottom are 0 Joule, 2.448 x 10⁶ Joule, 2.448 x 10⁶ Joule respectively. moreover the total energies are not same as not all potential energy converting into Kinetic energy of vertically drop of ride as the ride moves straight afterwards so that also need some energy which is again coming from potential energy.
Energies at the top:-
Potential energy = mgh
Potential energy = 3.4 x 10⁴ × 10 × 70 Joule
Potential energy = 2.38 x 10⁷ Joule
Kinetic Energy = (1/2) mv²
Kinetic Energy = (1/2) × 3.4 x 10⁴ × 0²
Kinetic Energy = 0 Joule
Total Energy = Potential Energy + Kinetic Energy
Total Energy = ( 23.8 x 10⁶ Joule ) + ( 0 Joule )
Total Energy = 23.8 x 10⁶ Joule
Energies at the bottom:-
Potential energy = mgh
Potential energy = 3.4 x 10⁴ × 10 × 0 Joule
Potential energy = 0 Joule
Kinetic Energy = (1/2) mv²
Kinetic Energy = (1/2) × 3.4 x 10⁴ × 12²
Kinetic Energy = 2.448 x 10⁶ Joule
Total Energy = Potential Energy + Kinetic Energy
Total Energy = ( 0 Joule ) + ( 2.448 x 10⁶ Joule )
Total Energy = 2.448 x 10⁶ Joule
The total energies are not the same since not all potential energy is converted into Kinetic energy of the vertical drop of the ride as the ride travels straight thereafter thus that also requires some energy which is again derived from potential energy.
So we have calculated the potential, kinetic and total energy at top and bottom both, and also stated the reason of why total energy at the top is not equal to the total energy at the bottom.
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Empujamos un baúl 3 metros, para ello aplicamos una fuerza de 200 Newton. ¿Cuál es el trabajo realizado?
Answer:
Trabajo realizado = 600 Nm
Explanation:
Dados los siguientes datos;
Fuerza = 200 Newton
Distancia = 3 metros
Para encontrar el trabajo realizado; Trabajo realizado = fuerza * distancia
Sustituyendo en la ecuación, tenemos; Trabajo realizado = 200 * 3
Trabajo realizado = 600 Nm
Question 8 of 10
What is the equivalent resistance of the circuit?
120.0 V
OA. 40.0 2
Β. 200.0 Ω
C. 20.02
D. 80.0 2
60.002
20.0 Ω
The equivalent resistance of the circuit will be option (D) 80.0 Ω
According to Ohm's law, the voltage across two places is precisely proportional to the current flowing through a conductor between them.
The obstruction to current flow in an electrical circuit is measured by resistance. The Greek letter omega (Ω) represents the unit of measurement for resistance, known as ohms. Georg Simon Ohm is the name given to ohms.
Since in the given figure the resistance are in series so there equivalent resistance will be sum of the two resistance. If they were in parellal connection then we will add reciprocal of their resistance.
Let R1 = 60 Ω and R2 = 20 Ω. So their equivalent resistance will be as follow:
R = R1 + R2
R = 60 + 20
R = 80 Ω
Hence the equivalent resistance of the circuit will be 80 Ω
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Three point charges are arranged along the x-axis. Charge q1q1 = +3.00 μCμCis at the origin, and charge q2q2 = -5.00 μCμC is at xx = 0.200 mm. Charge q3q3 = -8.00 μCμC.Where is q3q3 located if the net force on q1q1 is 7.00 NN in the −x−x direction? Express your answer in meters.
We need to use Coulomb's Law to find the force between q1 and q3 and between q2 and q3. Then, we can use vector addition to find the net force on q1 and set it equal to 7.00 N in the negative x direction. Finally, we can solve for the position of q3.
The force between two point charges q1 and q3, separated by a distance r, is given by:
F = k*q1*q3/r^2
Where k is the Coulomb constant (9.0 x 10^9 N*m^2/C^2). Similarly, the force between q2 and q3 is given by:
F = k*q2*q3/(0.200 mm + r)^2
Where we have added 0.200 mm to the distance between q2 and q3 to account for the fact that q2 is not at the origin.
To find the net force on q1, we need to add up the forces from q3 and q2. Since the forces are vectors, we need to take into account their directions. Let's assume that q3 is located at a distance x from the origin and that the direction of the force from q3 on q1 is to the left (negative x direction). Then:
F_net = F_q3 + F_q2
Where:
F_q3 = -k*q1*q3/x^2 (to the left)
F_q2 = -k*q2*q3/(0.200 mm + x)^2 (to the right)
Setting F_net equal to 7.00 N in the negative x direction, we get:
7.00 N = -k*q1*q3/x^2 - k*q2*q3/(0.200 mm + x)^2
Plugging in the values for q1, q2, and q3, and solving for x, we get:
x = 0.124 m
Therefore, q3 is located at a distance of 0.124 m from the origin, in the negative x direction.
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