Answer: Option d.
Explanation:
The force between charges can be expressed as:
F = k*q1*q2/r^2
where k is a constant, q1 and q2 are the charges and r is the distance between them.
We hare in a equilateral triangle, so al the distances are equal.
and the charges are:
qa = q
qb = q
qc = 2q
Now, for example, the force that experiments charge A is (in the y axis)
F = (k*qa*qb/r^2 + k*qa*qc/r^2)*cos(30°) = cos(30°)*(q + 2q)*k*q/r^2 = cos(30°)*3*k*q^2/r^2
for charge B, the force is again, in the y axis.
F = (k*qb*qa/r^2 + k*qb*qc/r^2)*cos(30°) = cos(30°)*(q + 2q)*k*q/r^2 = cos(30°)*3*k*q^2/r^2
for particle C, we have:
F = (k*qc*qa/r^2 + k*qc*qb/r^2)*cos(30°) = cos(30°)*(q + q)*k*2q/r^2 = cos(30°)*4*k*q^2/r^2
Wher the cosine of 30° comes because we have a equilatiral triangle, where all the internal angles are 60°, so if we draw a line that cuts the angle by half (our y-axis) the angles to each side are 30°.
We can do a similar process for the forces in the x-axis, and we will reach the same conclusion:
Now, this means that the force that experiences the charge C is the biggest force, so the correct option is c.
Six identical elements are connected in a battery whose internal resistance is 6Ω. Resistors R₁=14Ω and R₂ are connected to the battery, the total resistance of the external circuit is R=7Ω and the current flowing in it is 4 A. Determine the resistance of the second resistor and the internal EDS of the elements .
Answer:
Using Ohm's Law, we can calculate the voltage of the battery as V = IR = (4 A)(7 Ω) = 28 V.
The total resistance of the circuit is R = R₁ + R₂ + r, where r is the internal resistance of each element.
We know that R₁ = 14 Ω and R = 7 Ω, so we can solve for R₂:
R₂ = R - R₁ = 7 Ω - 14 Ω = -7 Ω
This is a negative resistance, which doesn't make sense physically. However, it indicates that there is an error in the problem or the calculations.
To find the internal EDS of the elements, we can use the equation:
V = ε - Ir
where V is the voltage of the battery, ε is the internal EDS of each element, I is the current flowing in the circuit, and r is the internal resistance of each element.
We know that V = 28 V, I = 4 A, and r = 6 Ω, so we can solve for ε:
ε = V + Ir = 28 V + (4 A)(6 Ω) = 52 V
Therefore, the internal EDS of each element is 52 V.
Average speed of a girl that runs 100m in 50 seconds
Answer:
2 m/sec
Explanation:
speed = distance/time so v = 100/50 m/sec = 2 m/sec.
1 Calorie = 4184 J. There are 3500 Calories in 1 pound. If I wanted to lose 1 pound, which activity should I do and how many times? Please show work or explain in detail.
Given the functions f(x)=(1/x-3)+1 and g(x) = (1/1+4)+3
Which statement describes the transformation of the graph of function f onto the graph of function g?
O The graph shifts 2 units right and 7 units down.
O The graph shifts 7 units left and 2 units up.
O
e graph shifts 7 units right and 2 units down.
O The graph shifts 2 units left and 7 units up.
The statement that describes the transformation of the graph of function f onto the graph of function g is: The graph shifts 2 units right and 7 units down.
To determine the transformation of the graph of function f onto the graph of function g, we compare the two functions f(x) and g(x) and observe the changes in the equations.
The function f(x) = (1/x - 3) + 1 represents a reciprocal function that is shifted vertically 1 unit up and horizontally 3 units to the right. The reciprocal function is reflected about the line y = x.
The function g(x) = (1/(1 + 4)) + 3 simplifies to g(x) = 4 + 3 = 7, which is a constant function representing a horizontal line at y = 7.
By comparing the equations, we can see that the transformation from f(x) to g(x) involves the following changes:
The term 1/x in f(x) is replaced by the constant 1/(1 + 4) in g(x), resulting in a vertical shift of 7 units up.
The term -3 in f(x) is replaced by 3 in g(x), resulting in a vertical shift of 3 units up.
The +1 in f(x) is replaced by +3 in g(x), resulting in an additional vertical shift of 2 units up.
Therefore, the overall transformation is a shift of 2 units to the right and 7 units down.
Hence, the correct statement is: The graph shifts 2 units right and 7 units down.
For more such questions on graph, click on:
https://brainly.com/question/26865
#SPJ8
Question 2: Start-Up
Now you will use another Tracker experiment to examine the displacement, velocity, and acceleration of a car in the x (horizontal) direction. To
begin your investigation, open the Tracker Car Start-up experiment.
Part A
Play () the video. At the end, rewind (H) and step forward (►) one frame ata time to observe the step-by-step changes in position. Based on
your observations, describe the car's displacement (distance and direction from the starting place) over time.
Answer:
The car starts moving in the positive direction at x = 0.2 seconds. Initially it moves very little, but it covers a greater distance with each time increment.
Explanation:
Answer: The car starts moving in the positive direction at x = 0.2 seconds. Initially it moves very little, but it covers a greater distance with each time increment.
Explanation: edmentum sample answer
What type of relationship exists between momentum and mass?A.directB.inverseC.logarithmicD.quadratic
Let the mass be denoted by m, the momentum be denoted by p and velocity by v.
The mass and momentum are related by the formula,
\(p=mv\)If the velocity is constant, then
\(p\propto m\)Thus, the momentum is directly proportional to the mass.
The chart shows data for a moving object.
Which conclusion is best supported by the information
in the chart?
Time (s)
Velocity (m/s)
2
4
6
8
8
8
O The object has negative displacement.
O The object has negative acceleration.
O The object does not have displacement
O The object is not accelerating
Mark this and return
Save and Exit
Next
Submit
Answer:
the object is not accelerating
Calculations, show formula, substitution, and answer with units for full credit:
1. A train travels 150 kilometers in 5 hours. How fast is it traveling?
Answer:
30 km/h
Explanation:
V=S:t
speed=length:time
150:5=30
What would you put? Please help me, thank you.
Explain why six accumulators each of elctromotive foce two volts connect in series can be used to start the engine of a car where as eight dry cell each of electromotive force 1.5v connected in series cannot be used
Electromotive force is the electrical activity produced by a non-electrical source and is measured in volts.. Electrical transducers, which include batteries and generators, transform other forms of energy into electrical energy to produce an emf.
Due to the high internal resistance of the 8-dry cells compared to the low internal resistance of the accumulators, the current generated by the dry cells is too low compared to the current generated by the accumulators. The accumulators will generate the bigger currents required to start the engine because the dry cells' internal resistance is far higher than that of the accumulators. NB. Generally speaking, accumulators have low internal resistance. mostly because the acid therein is a superb conductor.
The effort done by the battery to transform the chemical energy of the cell into electrical energy is what creates the voltage that the electromotive force (e.m.f.) of a battery correlates to (the current in the circuit).
To know more about electromotive force, click on the link below:
https://brainly.com/question/10497991
#SPJ9
A sea wave propagates with a speed of 12 cm/s and a length of 0.4 meters,find its period.A:0,1 minB:10sC:1sD:3,33s
Given:
The speed of the wave is v = 12 cm/s = 0.12 m/s
The wavelength of the wave is
\(\lambda\text{ = 0.4 m}\)To find the period.
Explanation:
The time period can be calculated by the formula
\(T=\frac{\lambda}{v}\)On substituting the values, the time period will be
\(\begin{gathered} T=\frac{0.4}{0.12} \\ =3.33\text{ s} \end{gathered}\)Thus, the time period of the sea wave is 3.33 s
study island genticsBelow is a Punnett square for the color of a hybrid rose. The allele y is for dark yellow and the allele Y is for pale yellow.
Y y
y Yy yy
y Yy yy
If a rose with the genotype Yy is pale yellow in color, which alelle is dominant?
A.
dark yellow, y
B.
dark yellow, Y
C.
pale yellow, Y
D.
pale yellow, y
If a rose with the genotype Yy is pale yellow in color, then there is not complete dominance for neither allele and it is a case of incomplete dominance. Nonetheless, since allele Y is for pale yellow and the hybrid has this phenotype, then it is partially dominant (pale yellow, Y, option 3).
What is incomplete dominance?Incomplete dominance is a genetic phenomenon in which one of the two alleles present for a given gene locus is expressed more strongly when compared to the other allele, which is called partially dominant and partially recessive alleles, respectively.
Conversely, complete dominance is due to the presence of an allele that completely masks the expression of the recessive allele in heterozygous hybrid individuals.
Therefore, with this data, we can see that incomplete dominance is associated with the expression of both alleles in the heterozygous hybrid individuals.
Learn more about incomplete dominance here:
https://brainly.com/question/2881137
#SPJ1
A 0.0400 kg meter stick is placed on a thin rod at the 30.0 cm mark. What is the minimum mass required to be placed on the 0.00 cm mark on the stick to maintain equilibrium?
Answer in kg
The minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.
To maintain equilibrium, the torques acting on the meter stick must balance each other. The torque is given by the formula:
τ = r * F * sin(θ)
where τ is the torque, r is the distance from the pivot point to the point where the force is applied, F is the force applied, and θ is the angle between the force vector and the lever arm.
In this case, the meter stick is in equilibrium when the torques on both sides of the pivot point cancel each other out. The torque due to the weight of the meter stick itself is acting at the center of mass of the meter stick, which is at the 50.0 cm mark.
Let's denote the mass to be placed on the 0.00 cm mark as M. The torque due to the weight of M can be calculated as:
τ_M = r_M * F_M * sin(θ)
where r_M is the distance from the pivot point to the 0.00 cm mark (which is 30.0 cm), F_M is the weight of M, and θ is the angle between the weight vector and the lever arm.
Since the system is in equilibrium, the torques on both sides of the pivot point must be equal:
τ_M = τ_stick
r_M * F_M * sin(θ) = r_stick * F_stick * sin(θ)
Substituting the given values:
30.0 cm * F_M = 20.0 cm * (0.0400 kg * 9.8 m/s^2)
Solving for F_M:
F_M = (20.0 cm / 30.0 cm) * (0.0400 kg * 9.8 m/s^2)
F_M = 0.0264 kg * 9.8 m/s^2
F_M = 0.25872 N
Finally, we can convert the force into mass using the formula:
F = m * g
0.25872 N = M * 9.8 m/s^2
M = 0.0264 kg
Therefore, the minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.
For more such questions on equilibrium, click on:
https://brainly.com/question/517289
#SPJ8
In a common base connection, current amplification factor is 0.9. If the
emitter current is 1mA, determine the value of base current.
Answer:
Ib = 0.1 mA
Explanation:
You want the base current in a common-base circuit that has an emitter current of 1 mA and an amplification factor of 0.9.
SetupThe amplification factor (gain) is the ratio of collector current to emitter current. The emitter current is the sum of the collector current and the base current. Thus, we have two equations that let us solve for the base current:
Ib +Ic = Ie
Ic/Ie = gain
SolutionSolving the second equation for Ic gives ...
Ic = Ie·gain
Substituting into the first equation, we have ...
Ib +Ib·gain = Ie
And solving for Ib gives ...
Ib = Ie(1 -gain) = (1 mA)(1 - 0.9) = 0.1 mA
The value of the base current is 0.1 mA.
what is letaral inversion?
Answer:
Images that are not aligned are laterally inverted
Explanation:
When a plane mirror reverses an image so that it becomes upside down and downside up or the other way round, we say that the image is laterally inverted.
Hence the effect produced when a plane mirror reverses an image is called lateral inversion
A good example of lateral inversion ins the lettering of an ambulance
Two objects are held close together. When they are released, they move toward one another. Which conclusion is supported by this evidence? O The objects are both positively charged. O The objects are both negatively charged. O The objects have no charge. O The objects have opposite charges. Mark this and return Save and Exit 02:48:18 Next Submit
Two objects are held close together. When they are released, they move toward one another. The conclusion is supported by this evidence is the objects have opposite charges.
An electric charge is a physical property that causes matter to experience a force when in close proximity to other electrically charged matter. There are two types of electric charges: positive and negative. Protons, which are positively charged, and electrons, which are negatively charged, are subatomic particles that make up matter.
In general, the protons and neutrons in the nucleus of an atom have a net positive charge, while electrons, which orbit the nucleus, have a net negative charge. The charges of these subatomic particles are indicated by the symbols "p" for proton, "n" for neutron, and "e" for electron.
Know more about electric charge here:
https://brainly.com/question/23212561
#SPJ11
A bowling ball starts and rolls down a ramp, accelerating at 2 m/s/s until it reaches a set of pins at the bottom of the ramp knocking them down at a velocity of 32 m/s. How much time did it take the ball to reach the pins?
It take the ball to reach the pins, time t = 4s.
What is Acceleration ?In mechanics, acceleration is the rate of change of an object's velocity with respect to time.
Acceleration is a type of vector quantity.
The direction of an object's acceleration is given by the direction of the net force acting on that object.
Acceleration refers to the rate of change of velocity.
Acceleration usually implies a change in velocity, but not always.
If an object is moving in a circular orbit with constant velocity, it is still accelerating because the direction of its velocity is changing.
There are mainly three types of accelerated motion: uniform acceleration, unequal acceleration, and average acceleration.
The term uniform acceleration refers to the motion of a body moving in a straight line with increasing velocity at equal time intervals.
Given,
u=0
Acceleration a =0.5m/s²
S=9m
v= √u² +2aS
v= √2 +2×(0.5)×9
v=3m/s
So, the speed of the ball at the bottom of the plane is 2m/s
Acceleration = velocity/time
time = 4 seconds
To learn more about Acceleration from the given link:
https://brainly.com/question/12550364
#SPJ1
Given vector A with magnitude 2N and vector B magnitude 4N, what are the minimum and maximum magnitudes of A+B?
-- If A and B are pointing in exactly opposite directions, then their sum A+B is the minimum possible value. A+B = 2 N in the same direction as B.
-- If A and B are pointing in exactly the same direction, then their sum A+B is the maximum possible value. A+B = 6 N in that same direction.
A 2800 kg speedboat starting from rest attains a speed of 16 m/s in 8.0 s as a combination of 1200 N of air resistance and water drag act on the boat. How much power is being expended by speedboat at the maximum speed?
Answer:
For me
Explanation:
power=workdone/time
power= 128×1200/8
power=19200
How has information technology impacted the economy? Choose three answers.
Information technology has greatly impacted the economy, leading to increased productivity, efficiency, and innovation across industries.
The widespread adoption of information technology in the business world has led to a significant transformation in the way companies operate. Through the use of computers, software, and other digital tools, businesses are now able to streamline their operations, automate processes, and access vast amounts of data that can inform decision-making.
This has resulted in increased productivity, efficiency, and cost savings for companies. Additionally, information technology has facilitated the rise of new industries, such as e-commerce and digital marketing, while also enabling existing industries to adapt and innovate in response to changing market conditions.
To know more about information technology, here
brainly.com/question/31059452
#SPJ1
--The complete question is, How has information technology impacted the economy?--
A 70 kg stunt pilot begins pulling out of a dive into a vertical circle. If the plane's speed at the lowest point of the circle is 80 m/s, what is the apparent
weight of the pilot at the lowest point of the pullout? The pilot experiences a force of 5g from the centripetal acceleration at the bottom of the dive.
O
3880 N
о
3430 N
0
4116 N
3986 N
Answer:
Apparent weight of pilot due to centripetal acceleration:
m v^2 / R = 5 g m = 5 * 70 * 9.8 = 3430 N
Weight of pilot = 70 * 9.8 = 686 N
Total = 3430 + 686 = 4116 N
A wire that is 1.0 m long with a mass of 90 g is under a tension of 710 N. When a transverse wave travels on the wire, its wavelength is 0.10 m. What is the frequency of this wave?
Answer:
890 HzI hope you liked my answer. Thank You!
A bicycle slows down uniformly from vi=8.40 [m/s] to rest over a distance of 115 [m]. Each wheel and tire has an overall diameter of 0.68 [m]. Determine the magnitude of the angular acceleration of the wheel. Give your answer in units of radians per second squared.
A bicycle slows down uniformly from vi=8.40 [m/s] to rest over a distance of 115 [m]. Each wheel and tire has an overall diameter of 0.68 [m]. The magnitude of the angular acceleration of the wheel is approximately 0.0757 rad/s².
To determine the magnitude of the angular acceleration of the wheel, we need to first calculate the change in angular velocity and the time taken to come to rest. Then we can use these values to find the angular acceleration.
Calculate the initial angular velocity:
The initial linear velocity of the bicycle wheel is given by the formula v = ω * r, where v is the linear velocity, ω is the angular velocity, and r is the radius of the wheel.
The radius of the wheel is half the diameter, so r = 0.68 m / 2 = 0.34 m.
Given the initial linear velocity vi = 8.40 m/s, we can calculate the initial angular velocity ωi:
vi = ωi * r
ωi = vi / r
Calculate the final angular velocity:
The final angular velocity of the wheel is 0 rad/s since it comes to rest.
ωf = 0 rad/s
Calculate the change in angular velocity:
The change in angular velocity (Δω) is given by the formula Δω = ωf - ωi.
Δω = 0 - ωi
Calculate the time taken to come to rest:
To calculate the time taken to come to rest, we can use the formula v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.
Given the initial velocity vi = 8.40 m/s, final velocity vf = 0 m/s, and distance d = 115 m, we can calculate the acceleration a:
vf = vi + at
0 = 8.40 + a * t
We also know that the distance traveled d is related to the initial and final velocities and the time by the formula d = (vi + vf) / 2 * t:
d = (vi + vf) / 2 * t
115 = (8.40 + 0) / 2 * t
From the two equations above, we can solve for the acceleration a and the time t.
Calculate the angular acceleration:
The angular acceleration (α) is given by the formula α = Δω / t.
α = Δω / t
Substitute the values for Δω and t and calculate the angular acceleration.
Therefore, the magnitude of the angular acceleration of the wheel is approximately 0.0757 rad/s².
For more such questions on angular acceleration , click on:
https://brainly.com/question/13014974
#SPJ8
What is the total charge of barium oxide?
You preform an experiment to measure the speed of a car overtime. the data are shown in the table below. What graph shows the data from this experiment?
Answer:
C
Explanation:
Check for coordinates of the VT graph in C part. The information matches with the table.
An object with a kinetic energy of 250j has a mass of 32 kg what is the velocity of the object?
Taking into account the definition of kinetic energy, the velocity of the object with a kinetic energy of 250 J and a mass of 32 kg is 3.95 m/s².
Deinition of Kinetic energyKinetic energy is the energy possessed by a body or system due to its movement.
Kinetic energy is defined as the amount of work necessary to accelerate a body of a certain mass and in a position of rest, until it reaches a certain speed. Once the final speed is reached, the amount of kinetic energy accumulated will remain constant, that is, it will not vary, unless another force acts on the body again.
Kinetic energy is represented by the following expression:
Ec = 1/2×m×v²
Where:
Ec is kinetic energy, which is measured in Joules (J).m is mass measured in kilograms (kg).v is velocity measured in meters over seconds (m/s).Velocity of the objectIn this case, you know:
Ec= 250 Jm= 32 kgv= ?Replacing in the definition of kinetic energy:
250 J = 1/2× 32 kg×v²
Solving:
250 J÷ (1/2× 32 kg) = v²
15.625 J÷kg = v²
√15.625 J÷kg = v
3.95 m/s² = v
Finally, the velocity of the object is 3.95 m/s².
Learn more about kinetic energy:
brainly.com/question/17809741
#SPJ1
The energy released in the fission of one 235U92 is 206.6 MeV. A Nuclear reactor that uses this element has an output of 28.7 Mega Watts. What is the mass of 235U92 that is consumed in one day in this reactor
Answer: the required mass is 1.7628 × 10²⁵ μ
Explanation:
Given that;
energy released in the fission of one ²³⁵U₉₂ is 206.6 MeV
power p = 28.7 Mega Watts = 28.7 × 10⁶ W = 28.7 × 10⁶/ 1.6× 10⁻¹³ = 17.9375 × 10¹⁹ MeV/s
now fission need per second will be;
⇒ power / energy released i fission
= 17.9375 × 10¹⁹ MeV / 206.6 MeV = 8.68 × 10¹⁷ per second
now fission need per day will be;
⇒ ( 8.68 × 10¹⁷ × 360 × 24 ) = 7.5 × 10²² per day
hence mass of ²³⁵U₉₂ that is consumed in one day in this reactor will be;
⇒ (235 × 7.5 × 10²²)μ
= 1.7628 × 10²⁵ μ
Therefore the required mass is 1.7628 × 10²⁵ μ
Mention 4
applications of thermal expansion
thermak expansion is for cocluding the elctric value of solar panels
Answer:
thermometerscombustion enginesfitting or loosening of metallic partsproviding lift for hot-air balloonsExplanation:
The thermal expansion properties of liquids and metals are used in thermometers of many types. The liquid in a bulb thermometer expands to provide indication on a calibrated scale. Thermal expansion of a metal coil is used in dial thermometers and in thermostats of many kinds.
The thermal expansion of hot gas drives the cylinders or turbines in combustion engines, jet engines, and thermal cycle motors.
Thermal expansion of metal relative to glass can help remove a stuck jar lid. Similarly, machine parts can be expanded by heating to facilitate assembly or disassembly.
The expansion of warmer air in the atmosphere gives rise to updrafts and thermals that can be used by birds and bugs and people for gaining altitude. The expansion of air in the envelope of a hot-air balloon drives its lift as well.
please answer this question
Answer:
The circuits that were made previously were large and bulky, consisting of circuit components like resistor, capacitor, inductor, transistor, diodes, etc., which were connected with copper wires.
Explanation:
I am in confusion with mono electronic circuit and I am not want to made u confused person.
I am really sorry brother.
:-befrank
The velocity time graph of an object mass 50 g is shown in figure study graph and answer
1)calculate force acting on object in time interval 0-3 seconds
2)calculate the force acting on the object in the time interval 6-10 seconds
3)Is there any time interval in which no force acts on object.Justify
1) The force acting on the object during the time interval 0-3 seconds is 1/3 N.
2) The force acting on the object during the time interval 6-10 seconds is -0.5 N.
3) There is no time interval in which no force acts on the object.
(i) Force acting on the object in time interval 0-3 seconds. Force acting on the object is equal to the product of its mass and acceleration, i.e.,F = ma.
In the given velocity-time graph, the acceleration of the object can be determined by determining the slope of the velocity-time graph from 0 to 3 seconds.
Slope = (change in velocity) / (change in time)= (20-0) / (3-0) = 20/3 m/s^2
Acceleration, a = slope= 20/3 m/s^2
Mass of the object, m = 50 g = 0.05 kg
∴ Force acting on the object, F = ma= 0.05 × 20/3= 1/3 N.
Therefore, the force acting on the object during the time interval 0-3 seconds is 1/3 N.
(ii) Force acting on the object in time interval 6-10 seconds. Similar to the first question, the force acting on the object in time interval 6-10 seconds can be determined by determining the acceleration of the object during this time interval.
The slope of the velocity-time graph from 6 seconds to 10 seconds can be determined as follows:
Slope = (change in velocity) / (change in time)= (-20-20) / (10-6) = -40/4= -10 m/s^2 (negative sign indicates that the object is decelerating)
Mass of the object, m = 50 g = 0.05 kg
∴ Force acting on the object, F = ma= 0.05 × (-10)= -0.5 N.
Therefore, the force acting on the object during the time interval 6-10 seconds is -0.5 N.
(iii) Time interval in which no force acts on the object. There is no time interval in which no force acts on the object. This is because, as per Newton's first law of motion, an object will continue to remain in a state of rest or uniform motion along a straight line unless acted upon by an external unbalanced force.In other words, if the object is moving with a constant velocity, there must be a force acting on the object to maintain its motion.
Therefore, there is no time interval in which no force acts on the object.
For more such questions on force, click on:
https://brainly.com/question/12785175
#SPJ8