Refer to the attached image.
3. The force on charge q₁ is determined as 0.53 N.
4. The net electric force on q₁ is determined as 61.88 N
What is the force on q1?The magnitude of the force on q1 is calculated by applying Coulomb's law as shown below;
F = kq₁q₂/r²
where;
q₁ is the magnitude of first chargeq₂ is the magnitude of second charger is the distance between the two chargesk is coulomb's constantF = (9 x 10⁹ x 2 x 10⁻⁶ x 3 x 10⁻⁶ ) / (0.32²)
F = 0.53 N
4. The net force on charge 1 is due to force of charge 2 and charge 3.
F₁₂ = (9 x 10⁹ x 4 x 10⁻⁶ x 9 x 10⁻⁶ )/(0.12²)
F₁₂ = 22.5 N
F₁₃ = (9 x 10⁹ x 7 x 10⁻⁶ x 9 x 10⁻⁶ )/(0.12²)
F₁₃ = 39.375 N
F(net) = F₁₂ + F₁₃
F(net) = 22.5 N + 39.375 N
F(net) = 61.88 N
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A car travels 500 km from home at 35 m/s, then travels back at 43 m/s. Find its average speed.
The average speed of the car is 35.6m/s
What is average speed?The average speed is the total distance traveled by the object in a particular time interval. The average speed is a scalar quantity. It is represented by the magnitude and does not have direction. It is measured in meter per second
Therefore average speed = total distance / total time taken
The total distance here is 500+ 500= 1000km = 1×10⁶m
the time taken for the first journey = 500×1000/35= 14285.71 seconds
the time taken for traveling back = 500000/43= 11627.91 seconds
total time taken = 14285.71 + 11627.91 = 25913.62seconds
therefore average speed = 1000000/25913.62
= 35.6m/s
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a driven RLC circuit has Vc=5 V, Vr=7 V and Vl=9 V. the driving frquency is
A. higher than the resonance frequency
B. Equal to the resonance frequency
C. lower than the resonance frequency
option C, which states that the driving frequency is lower than the resonance frequency. In a driven RLC circuit, the voltage across each component is affected by the frequency of the driving source. At the resonance frequency, the circuit exhibits a maximum response.
In this scenario, we are given the values of Vc, Vr, and Vl, and we need to determine the driving frequency.
To solve this problem, we need to compare the values of Vc, Vr, and Vl to each other. Since Vl is greater than Vr and Vc, it indicates that the circuit is predominantly inductive. This means that the impedance of the circuit increases with frequency.
Therefore, the driving frequency must be lower than the resonance frequency to create an inductive response. So, the correct answer is option C, which states that the driving frequency is lower than the resonance frequency.
In summary, by analyzing the voltages across the components of the circuit, we can determine the type of response and the frequency of the driving source. The RLC circuit's response is dependent on the impedance of the components, which changes with frequency, and this response can be used in various applications, including filtering and tuning circuits.
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A system releases 150 kJ of heat while 10 kJ of work is done on the system by
the surroundings. Calculate the change in internal energy (in kJ).
Answer:
160J OR 140J
Explanation:
Depends on teacher which formula your teacher uses.
U=Q+W OR U=Q-W
Method 1:
U=150+10J=160
U=150-10=140J
A student drops a rock from rest at a distance h above the ground such that the rock hits the ground at time t. At what distance above the ground should the rock be dropped such that it hits the ground at 2t after it is released from rest
The distance above the ground the rock should be dropped such that it hits the ground at 2t after it is released from rest is 4h.
What is the height of fall of the rock?
The height of fall of the rock is calculated by applying the following kinematic equation as shown below.
h = vt + ¹/₂gt²
where;
v is the initial velocity of the rockt is the time of motion of the rockg is acceleration due to gravityh is the height of fall of the rockh = 0 + ¹/₂gt²
h = ¹/₂gt²
2h = gt²
g = 2h / t²
h₁ / t₁² = h₂ / t₂²
The distance above the ground the rock should be dropped such that it hits the ground at 2t after it is released from rest is calculated as;
h₂ = ( h₁ / t₁² )(t₂²)
h₂ = ( h/t²)(2t)²
h₂ = ( h/t²)(4t²)
h₂ = 4h
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Pls help with the right answer and explanation to this question
Answer: Substance 3 is liquid at room temperature
Explanation: The common room temperature is assumed to be 20-22°C, we need to find the substance that will be in liquid state in that temperature.
For Substance 1, the boiling point is -195.975°C, and hence at room temperature, it would be in vapor phase and all liquid would have turned to gas.
For Substance 2, the boiling point is 3.85°C, and hence at room temperature, it would be in vapor phase and all liquid would have turned to gas in this case too.
For Substance 3, the boiling point is 77.85°C, and melting point is -108.15°C, hence at room temperature, it would be in liquid state.
For Substance 4, the melting point itself is 1800°C, due to which at room temperature it would be in solid state.
Examples of pure substances are elements and _________.
A. Mixtures
B. Compounds
Answer:
b
Explanation:
Answer:
b
Explanation:
trust
A car accelerates at -1 m/s2. What is its final speed (in m/s) at the end of 4 seconds if it started at 1 m/s? (round
to the nearest whole number)
This is an exercise in Rectilinear Uniformly Varied Motion (MRUV) is a type of motion in which an object moves in a straight line and experiences changes in its velocity at a constant rate. In this type of motion, the acceleration of the object remains constant over time.
The distinctive feature of the MRUV is that the velocity of the object changes uniformly, that is, its velocity increases or decreases by a constant amount in each unit of time. If the object experiences a positive acceleration, its velocity increases with time. On the other hand, if the object experiences a negative acceleration, its speed decreases.
In an MRUV, constant acceleration has a direct impact on displacement and the time it takes for the object to reach a certain speed. Also, the direction of the acceleration determines whether the object is accelerating or decelerating relative to its initial motion.
This type of movement is found in various situations of daily life, such as the launch of an object upwards and its subsequent fall, the movement of cars on a road with acceleration or braking, or even the study of bodies in free fall.
To solve this problem, we can use the kinematics formula for constant acceleration:
Vf = V₀ + a × t
Where:
Vf is the final speedV₀ is the initial velocitya is the accelerationt is the timeIn this case, the initial velocity (vi) is 1 m/s, the acceleration (a) is -1 m/s^2 (negative because it indicates deceleration), and the time (t) is 4 seconds.
Substituting these values into the formula, we get:
Vf = V₀ + a × t
Vf = 1 m/s + (-1 m/s²) × 4 s
Vf = 1 m/s - 4 m/s
Vf = -3 m/s
The final velocity of the car at the end of 4 seconds would be -3 m/s. Negative velocity indicates that the car is slowing down.
How quickly would the 50kg box accelerate if the person applied a 580N force?
Answer:
11.6 m/s²Explanation:
The acceleration of an object given it's mass and the force acting on it can be found by using the formula
\(a = \frac{f}{m} \\ \)
f is the force
m is the mass
From the question we have
\(a = \frac{580}{50} = 11.6 \\ \)
We have the final answer as
11.6 m/s²Hope this helps you
Based on what you have seen in the simulation and your knowledge of proportionality relationships learned this month, what is the relationship between temperature and peak wavelength?
Answer: They are inversely proportional
Explanation:
wiens displacement law assets that for the black body radiation the curve for distinct temperature will peak at distinct wavelength are varying inversely proportional to the temperature
The relationship between temperature and peak wavelength they are inversely proportional.
Wien's displacement law asserts that for the black-body radiation the curve for distinct temperatures will peak at distinct wavelengths are varying inversely proportional to the temperatures.
Wien's Law given as
\(\lambda_{\max }=\frac{0.29}{T}\)
Where
T=Temperature (In Kelvin unit)
λ(max)= Peak wavelength (In cm unit)
Therefore we can say that wavelength and temperature are inversely proportional.
This formula reads: (max) = peak wavelength (cm) Temperature is T. (K) What is the link between temperature and peak wavelength? Please explain using the simulation results and the proportionality relationships you have learnt about this month. They are proportionate in a direct way.
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please answer I'll give brainlist
Assuming the sound wave moves with the speed of air ( 340 m/s), what is the wavelength of the wave?
Answer:
suppose frequency of sound = 100Hz
then wavelength = speed/ frequency
= 340/100= 3.4 m
You are on an interstellar mission from the Earth to the 8.7 light-years distant star Sirius. Your spaceship can travel with 70% the speed of light and has a cylindrical shape with a diameter of 6 m at the front surface and a length of 25 m. You have to cross the interstellar medium with an approximated density of 1 hydrogen atom/m3 . (a) Calculate the time it takes your spaceship to reach Sirius. (b) Determine the mass of interstellar gas that collides with your spaceship during the mission. Note: Use 1.673 × 10−27 kg as proton mass.
Answer:
a) Time taken for the spaceship to reach Sirius, t' = 8.86 years = 9 years(approx)
b) The mass of the interstellar gas that collides with the spaceship, m' = 1.195 * 10^(-27) kg
Explanations:
The calculations are handwritten and attached as files below. However, the following steps were taken to arrive at the solutions
a) to calculate the time taken for the spaceship to reach Sirius
Step 1: calculate the time taken to reach Sirius from the perspective of the earth using time = distance/speed
Step 2: Use lorentz time dilation formula to calculate the equivalent time to reach Sirius from the perspective of the person in the spaceship
b) to calculate the mass of the interstellar gas
Step1: Calculate the new length of the spaceship using special relativity
Step 2 Get the new volume also by using the new length gotten
Step2: Get two equations for the original mass and the new mass using mass = density * volume
Step 3: Write the original mass in terms of the new mass and make necessary substitution.
Note: Check complete solution in the file attached.
assume obj1 and obj2 are object references. which of the following best describes when the expression obj1 == obj2 is true?
The reference equality is tested using the == operator. True. If obj1 and obj2 refer to same object, then obj1 == obj2 is true. True. A String object cannot be changed.
What is a string, exactly?In programming, a string is a form of data that is used to data type rather than integers. Letters, numbers, symbols, and even spaces can all be found in a string, which is a collection of characters. In order for it to recognized as a string, it needs to be encapsulated in quotation marks.
Is string a datatype or an object?A string is frequently implemented as just an array data structure of bits (or words) that records a sequence of elements, usually characters, using some text encoding. Typically, a string is considered to be a data type.
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Twp bullets have masses of 3.0g and 6.0g, respectively. both are fired with a speed of 40.0m/s. which bullet has more kinetic energy? What is the ratio of their kinetic energies?
Formula: KE=1/2 x m x v^2
What two factors determine the density of a fluid?
Answer:
Mass and volume.
Explanation:
The equation for density is always mass divided by volume. To determine the density of a fluid, you would need to find its volume and its mass.
PLEASE HELP!!!!!! If an index fossil is never found below a key bed what can you infer from this information?
Answer:
index fossil, any animal or plant preserved in the rock record of the Earth that is characteristic of a particular span of geologic time or environment. A useful index fossil must be distinctive or easily recognizable, abundant, and have a wide geographic distribution and a short range through time. Index fossils are the basis for defining boundaries in the geologic time scale and for the correlation of strata. In marine strata, index fossils that are commonly used include the single-celled Protista with hard body parts and larger forms such as ammonoids. In terrestrial sediments of the Cenozoic Era, which began about 65.5 million years ago, mammals are widely used to date deposits. All of these animal forms have hard body parts, such as shells, bones, and teeth, and evolved rapidly.
Explanation:
Which of these is most likely to be a centrifugal force within the EU in the future?
Among the given options, cultural differences are most likely to be the centrifugal force within the EU in the future. The EU is a political and economic union of 27 member states, and cultural differences among its member states have always been present.
With the increasing number of immigrants from different parts of the world, the cultural differences among EU member states are becoming more prominent. Each member state has its unique language, history, customs, and traditions, which can create misunderstandings and conflicts among the member states.
The EU aims to promote unity and solidarity among its member states, but cultural differences can lead to a lack of understanding and trust between them. The EU's diverse cultural heritage is both a strength and a challenge for the union. The EU needs to find a way to respect the cultural diversity of its member states while maintaining its unity.
However, the cultural differences among the member states can still cause tensions and conflicts in the future. Therefore, it is crucial for the EU to continue to foster cultural awareness and understanding among its member states to maintain the union's cohesion and stability.
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complete question:
Which of these is most likely to be a centrifugal force within the EU in the future?
a. trade barriers
b. closed borders
c. pollution problems
d. cultural differences
friction always opposes ___________ motion
What is the frequency of a wave traveling at 10 m/s with a wavelength of 2 m?
Answer:
5 Hz
Explanation:
Given:
Wave velocity ( v ) = 10 m / sec
wavelength ( λ ) = 2 m
We have to calculate Frequency ( f ) :
We know:
v = λ / t [ f = 1 / t ]
v = λ f
= > f = v / λ
Putting values here we get:
= > f = 10 / 2 Hz
= > f = 5 Hz
Hence, frequency of sound is 5 Hz.
what factor of the wave seems to affect pitch?
Answer: Pitch of the sound depends on the frequency of the sound wave. The pitch is affected by the source of production of sound wave. It also depends on the shape of the medium in which it travels.
Explanation:
The resultant of two forces P and 15N is 20N incline at 60 to the 15N force. Find the magnitude and direction of P.
The magnitude and direction of the force P are 5 N and 24° respectively.\( \begin{matrix} \ \\ \end{matrix}\)The direction of the force P is equal to 180 - 24 = 156°.
Using the method of resolving forces, the following steps should be taken:First, draw the diagram below, labeling the angles appropriately: \( \begin{matrix} \ \\ \end{matrix}\)Resolve the force 20 N into components, one along the 15 N force and the other perpendicular to it. \( \begin{matrix} \ \\ \end{matrix}\)This results in the following triangle:
\( \begin{matrix} \ \\ \end{matrix}\)The direction of the force P is equal to 180 - 24 = 156°.
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Please Help!
A girl preformed 50 j of work lifting a heavy box it took her 5 seconds to life the box. What was her power?
A. 45 W
B. 50 W
C. 10 W
D. 250 W
Explanation:
Power is change in energy over time.
P = (50 J) / (5 s)
P = 10 W
Answer: C
Explanation:
For this problem, we must divide.
50 ÷ 5 = 10
The answer to the question is 10
Rannan wants to perform a scientific experiment. he writes out a systematic process that involves him making observations and then forming his opinion about those observations. he then collects his opinions together and uses them to show that his findings are supported by evidence.
in what way did rannan make an error in his scientific process?
a) he should not use a systemic process.
b) he should not use his opinions as evidence.
c) he should not make observations.
d) he should not use multiple steps in his process.
The way Rannan made an error in his scientific process is he should not use his opinions as evidence.
Error in Rannan Scientific Process
A scientific experiment requires some systematic process that involves making observations and then forming his opinion about those observations.
A scientific experiment should be guided by a known model and based on individual opinions.
Thus, the way Rannan made an error in his scientific process is he should not use his opinions as evidence.
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Answer:
Answer is B. He should not use his opinions as evidence.
Explanation:
His opinion may not be right
what's newtons second law
Newton's Second Law of Motion states "The rate of change of momentum of a body is directly proportional to the applied unbalanced force in the direction of force".
what type of elements typically become positively charged ions
Answer:
answer is metals
You can use _______________ to change a liquid into a gas.
Answer:
below
Explanation: When a liquid changes into a gas vaporization has occurred. The process can either occur due to boiling or evaporation. Boiling occurs when the vapor pressure of the liquid is raised (by heating) to the point where it is equal to the atmospheric pressure.
You can use thermal energy to change a liquid into a gas.
What is thermal energy?By virtue of its temperature, a system in a condition of thermodynamic equilibrium has thermal energy, or internal energy. Unlike the energy of systems that are not in a state of thermodynamic equilibrium, thermal energy cannot be transformed into meaningful work as quickly.
For instance, the same fluid or solid in a thermodynamic equilibrium state with the same energy (as thermal energy) cannot do work unless it is combined with another substance at a different temperature, as in a heat engine. However, the same fluid or solid in a moving state with the same energy (as mechanical energy) can be converted to work in some mechanical device, such as a windmill or a waterwheel.
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A student drops a ball of mass 0.5kg from the top of a 20m tall building. (a) How long does it take the ball to hit the ground (time of flight)? (b) What is the final velocity of the ball? (c) What is the average velocity of the ball?
To find the average velocity of the ball, we can use the equation: average velocity = (initial velocity + final velocity) / 2. Since the initial velocity is 0 m/s (as the ball is dropped):
average velocity = (0 + 19.82) / 2 ≈ 9.91 m/s
(a) To find the time of flight, we can use the formula:
h = 1/2 * g * t^2
Where h is the height of the building (20m), g is the acceleration due to gravity (9.8 m/s^2), and t is the time of flight. Rearranging this formula to solve for t, we get:
t = sqrt(2h/g)
Plugging in the values, we get:
t = sqrt(2*20/9.8) = 2.02 seconds
So it takes the ball 2.02 seconds to hit the ground.
(b) To find the final velocity of the ball, we can use the formula:
v^2 = u^2 + 2gh
Where v is the final velocity, u is the initial velocity (which is zero since the ball is dropped from rest), g is the acceleration due to gravity (9.8 m/s^2), and h is the height of the building (20m). Rearranging this formula to solve for v, we get:
v = sqrt(2gh)
Plugging in the values, we get:
v = sqrt(2*9.8*20) = 19.8 m/s
So the final velocity of the ball is 19.8 m/s.
(c) To find the average velocity of the ball, we can use the formula:
average velocity = (final velocity + initial velocity) / 2
Since the initial velocity is zero, we just need to divide the final velocity by 2:
average velocity = 19.8 / 2 = 9.9 m/s
The average velocity of the ball is 9.9 m/s.
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What energy transformation takes place when you push a pencil off your desk? A. Mechanical energy transforms into kinetic energy. B. Potential energy transforms into nuclear energy. C. Potential energy transforms into kinetic energy. D. Kinetic energy transforms into potential energy.
When you push a pencil off your desk, the energy transformation that takes place is that potential energy transforms into kinetic energy.
The correct answer to the given question is option C.
Potential energy is the energy stored within an object because of its position or configuration.
In this scenario, the pencil has potential energy because of its elevated position on the desk. When the pencil is pushed off the desk, it begins to move, which means that it has kinetic energy. Kinetic energy is the energy of motion.
As the pencil falls off the desk, its potential energy is transformed into kinetic energy, which is the energy that results from its motion. The faster the pencil falls, the greater its kinetic energy will be because kinetic energy is directly proportional to the square of an object's velocity.
Therefore, when you push a pencil off your desk, the potential energy that it has because of its elevated position is transformed into kinetic energy as it falls towards the ground.
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Vhich type of reaction is modeled by this chemical equation?
PLi + CaCl2 - 2LICI + Ca
Answer:
Double-replacement
Explanation:
2Li + CaCl2 → 2LiCl + Ca O
D. Double-replacement
a carnot heat engine delivers 500 kj of heat per cycle to a hightemperature source at 652 oc and receives heat from a low-temperature sink at 30 oc. determine: a) the efficiency of this carnot engine b) the amount of heat rejected to the sink per cycle
a) The efficiency of this carnot engine = 0.672 = 67.2%
Carnot heat engine converts 67.2% of the heat it receives to work.
b) The amount of heat rejected to the sink per cycle = 164 kJ
\(Q_{H}\) = 500 kJ
Efficiency of this carnot engine =?
Amount of heat rejected to the sink per cycle =?
a) Carnot heat engine is a reversible heat engine; its efficiency can be calculated from:
\(n_{th,rev} = 1 - \frac{T_{L} }{T_{H} }\)
\(n_{th,rev} = 1 - \frac{(30+273)K}{(652+273)K}\)
= 0.672
The efficiency of this carnot engine = 0.672 = 67.2%
b) The amount of heat rejected \(Q_{L}\) by heat reversible engine can be calculated from:
\((\frac{Q_{H} }{Q_{L} } )_{rev} = \frac{T_{H} }{T_{L} }\)
\(Q_{L,rev} = \frac{T_{L} }{T_{H} } Q_{H,rev}\)
= \(\frac{(30+273)K}{(652+273)K} (500KJ)\)
= 164KJ
Carnot heat engine converts 67.2% of the heat it receives to work.
The amount of heat rejected to the sink per cycle = 164 kJ
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Train car A is at rest when it is hit by train car B. The two cars, which have the same mass, stick together and move off after the collision. How does the final velocity of train cars A and B after the collision compare to the initial velocity of train car B before the collision? The final velocity is double train car B’s initial velocity. The final velocity is the same as train car B’s initial velocity. The final velocity is half of train car B’s initial velocity. The final velocity is zero, since train car B will stop.
Answer:C The final velocity is half of trained car B's initial velocity.
Explanation:
Answer: C i just got it right on e d g e n u i t y :)
Explanation: