Answers
Answer:
The solid sphere
Explanation:
The solid sphere will travel farther up the plane between it and a hoop. This is because for any mass that is given and any radius, the hoop does require more energy than the sphere, in most or even all cases, in order to overcome its rotational inertia i.e Moment of Inertia of hoop > Moment of Inertia of the sphere).
When you look at the formulas, then
mr² > 2/5mr²
Therefore initial kinetic energy given to the shape is used more times for the rotation (spinning) by the hoop than for translation (moving in a straight line up the incline)
Related Questions
Based on the table and your knowledge of sound, what might be the best explanation of why sound travels faster in saltwater than fresh water?.
Answers
The speed of sound decreases in water with increased density, but increases in water with increasing bulk modulus. Therefore, because salt water is more resistant to compression, sound travels through it faster.
Explanation:
When the medium is dense, the molecules in the medium are closely packed, which means that the sound travels faster. Therefore, the speed of sound increases as the density of the medium increases.
Refer to the picture!
Answers
(a) The work done by the donkey on the cart is 59,721.9 J.
(b) The work done by the force of gravity on the cart is -48,434.87 J.
(c) The work done on the cart by friction during this time is 11,315.12 J.
What is the work done by the donkey on the cart?(a) The work done by the donkey on the cart is calculated as follows;
Wd = Fd cosθ
where;
F is the applied force by the donkeyd is the displacementθ is the angle of inclinationWd = 375 N x 163 m x cos(12.3)
Wd = 59,721.9 J
(b) The work done by the force of gravity on the cart is calculated as;
Wg = Fg x d x cosθ
Where;
Fg is the force of gravityd is the displacementθ is the angle between the force of gravity and displacementθ = 90⁰ + 4.03⁰ = 94.03⁰
Wg = (431 kg x 9.81 m/s²) x 163 m x cos (94.03)
Wg = -48,434.87 J
(c) The work done on the cart by friction during this time is calculated as;
Wf = Ff x d x cosθ
where;
Ff is the force of friction;Ff = μmg cosθ
Ff = 0.0165 x 431 kg x 9.81 x cos (4.03)
Ff = 69.59 N
Wf = 69.59 x 163 x cos (4.03)
Wf = 11,315.12 J
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assignment questions
Answers
Answer:
which on a is the question
Engineers are developing a process to produce phosphorus pentachloride.
Which two criteria are the most essential when developing this process?
Answers
Answer:
The two criteria that are most essential are options C and D
Explanation:
In trying to develop a new process/procedure for the commercial/industrial production of a particular substance (in this case phosphorus pentachloride), it is important that the workers that would operate the equipment required for this new procedure are able to operate it safely, i.e without fear of injury or losing one's life. If this fear is present or any adverse effect occurs, it would not only be counterproductive but would also make workers avoid using this procedure and may be forced to revert to previous safe procedure.
It is also essential for the new procedure to be able to get the most desired product out of the reactant, meaning the rate and amount of desired product (phosphorus pentachloride) that would be obtained from a given amount of reactant must be very high (a better upgrade when compared to the previous procedure). This is going to cause for a better amount of phosphorus pentachloride produced as against the previous amounts produced from previous procedure.
From the above, it can be deduced that options C and D are two criteria that are most essential when trying to develop a novel process to produce phosphorus pentachloride.
Answer: the guy above me is correct
Explanation:
On an aircraft carrier a 20,608kg plane can be launched from 0m/s to 78m/s in 2seconds in order for the plane to take off in a relatively small space and time. What is the impulse experienced on this plane during launch?
Answers
To determine the impulse we use the fact that the impulse is equal to the change in momentum:
\(I=p_2-p_1\)Where:
\(\begin{gathered} I=\text{ impulse} \\ p_2=\text{ final momentum} \\ p_1=\text{ initial momentum} \end{gathered}\)The momentum is the product of the mass and the velocity, therefore, we have:
\(\begin{gathered} I=m_v_2-m_v_1 \\ \end{gathered}\)Since the initial velocity is zero, we have:
\(\begin{gathered} I=m_2v_2-m_(0) \\ I=m(v_2) \end{gathered}\)Now, we substitute the values:
\(I=(20608kg)(78\frac{m}{s})\)Solving the operation:
\(I=1607424kg\frac{m}{s}\)Therefore, the momentum is 1607424 kgm/s
In the Skycoaster amusement park ride, riders are suspended from a tower by a long cable. A second cable then lifts them until they reach the starting position indicated in (Figure 1). The lifting cable is then released, and the riders swing down the circular arc shown. If the four riders have a total mass of 330 kg
, what is the tension in the left cable just before release?
Answers
Tension in the left cable is 4395.9 N.
What is meant by tension ?Tension is defined as a pulling force that acts along the length of a flexible medium like rope or cables.
Here,
The total mass of the riders is given, m = 330 kg
Let the tension in the left cable be T₁ and that in the right cable be T₂.
From the figure,
T₁ cos 15 = T₂ cos 26
T₁ = T₂ cos 26/cos 15
Also,
T₁ sin15 + T₂ sin 26 = mg
Substituting values,
(T₂ cos 26/cos 15) sin 15 + T₂ sin 26 = 330x 9.8
0.241 T₂ + 0.438 T₂ = 3234
0.679 T₂ = 3234
T₂ = 4762.8 N
Therefore, Tension in the left cable, T₁ = 0.930x 4762.8
T₁ = 4395.9 N
Hence, The tension in the left cable is 4395.9 N
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Your question was incomplete. Attaching the image here.
which of the following best describes why we have seasons on earth? view available hint(s)for part a which of the following best describes why we have seasons on earth? the tilt of earth's axis causes the northern hemisphere to be closer to the sun than the southern hemisphere in summer, and vice versa in winter. the tilt of earth's axis causes different portions of the earth to receive more or less direct sunlight at different times of year. earth's elliptical orbit means we are closer to the sun and therefore receive more intense sunlight at some times of year than at others. the varying speed of earth in its orbit around the sun gives us summer when we are moving fastest and winter when we are moving slowest.
Answers
Thee tilt of earth's axis causes the northern hemisphere to be closer to the sun than the southern hemisphere in summer, and vice versa in winter.
In this case, option A is correct.
Describe the seasons: Each season is a distinct time of year that can be recognized by special climatic characteristics. Every year, the seasons of spring, summer, fall, and winter follow one another. Each experiences cyclical patterns of light, climate, and weather every year.
Why are the seasons so important?
Soil saturation, precipitation patterns, river flows, lake concentrations, and snow cover are all impacted by seasonal variations in temperature and precipitation. Plants deteriorate and leaves fall as the wet and cold seasons approach. These alterations in the flora have an impact on the type and availability of food for humans and other animals.
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3. A car with a mass of 1600 kg has a kinetic energy of 125 000 J. How fast is it moving?
Answers
The car is moving at approximately 12.5 meters per second.
The kinetic energy (KE) of an object can be calculated using the formula:
KE = 1/2 * m * \(v^2\)
where
KE = kinetic energy,
m =Mass of the object, and
v = velocity.
In this case, we are given the mass (m) of the car as 1600 kg and the kinetic energy (KE) as 125,000 J. To find the velocity .
Substituting the values , we have:
125,000 J = 1/2 * 1600 kg *\(v^2\)
Now, we can solve for v by rearranging the equation:
\(v^2\) = (2 * 125,000 J) / 1600 kg
\(v^2\) = 156.25 \(m^2/s^2\)
Taking the square root, we find:
v = √156.25\(m^2/s^2\)
v ≈ 12.5 m/s
Therefore, the car is moving at approximately 12.5 meters per second.
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What is the economic term for the act of sacrificing one good or service to purchase or produce another?
Answers
Answer:
Trade-off. sacrificing one good or service to purchase or produce another.The truss shown in the figure carries a
load F= 20 kN at joint D. The truss is
designed with nine rods, six of which (the
inclined ones) have the same length d=2
m. Rods BC, EC, DE, and BD form a
square.
1. Find the support reactions at joints A
and F.
2. Using the method of joints or method of
sections to find the tensions in rods BD
and BC.
3. State whether each member is in
tension or compression.
Answers
The support reactions at joints A and F is 28.28 kN.
The method of joints or method of sections to find the tensions in rods BD and BC is 40 kN.
Each member is in tension or compression are (T_BC = 20 kN) and (T_BD = 40 kN).
What is compression?Compression is the process of reducing the size of a file, or data set, by encoding it using fewer bits than the original file. Compression techniques are used in many fields, including data storage and transmission, audio and video editing, and software development.
1. The support reactions at joints A and F can be found by using the equations of equilibrium:
R_A = F_x = 0 = -20 kN + R_F cos(45°)
R_F = F_y = 0 = -20 kN + R_A cos(45°)
Solving the equations, R_A = 28.28 kN and R_F = 28.28 kN.
2. Using the method of joints, the tensions in rods BC and BD can be found by taking moments around point D.
Moment about D: 0 = -F×d×sin(45°) + T_BC×d/2 - T_BD×d/2
Therefore, T_BC = 20 kN and T_BD = 40 kN.
3. Rod BC is in tension (T_BC = 20 kN) and rod BD is in compression (T_BD = 40 kN).
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6th grade science I mark as brainliest !
Answers
Answer:
first is Atoms
4) is True
Wave A is being decreased in temperature, and Wave B is moving from a liquid to a gas
medium
6. Which statement can be made about both waves? (1 point)
They will speed up.
They will increase the density of their medium.
They will slow down.
They will decrease the density of their medium.
Answers
Answer:
They will speed up, and decrease in density.
Explanation:
This is because, when water is heated, the molecules will spread apart, and bounce off each other. It gives them more space, and they are less tight packed, so it can move around freely.
A car achieves a velocity 50 meters per second after 5 seconds. What is the Car's acceleration?
Answers
Answer: 10 m/s
Explanation: Velocity/Time
50/5= 10
:)
What are the 4 basic skills of Badminton. Explain.
Answers
Answer:
As the service marks the start of every rally and subsequently dictates its flow, it is a crucial aspect of the game to get right in badminton.
These are the four main types of services in badminton and most can be executed with either your forehand or backhand.
1. Low serve
This low serve is almost a gentle tap over the net with the shuttle, with the aim of flying just over the net, yet falling just over the front line of his service court. It must not be too high or predictable, otherwise it would be easy for your opponent to do an outright smash or net kill.
2. High serve
The high serve is a powerful strike upwards with the shuttle, that aims to travel a great distance upwards and fall deep at the rear end of the court.
Although it is a strong serve and the popular choice of beginner players, its a serve that isn't so easy to disguise especially since you're using a forehand grip. Your opponent will already expect the shuttlecock to land at the back of the court.
Do remember that shuttlecocks have to fall within the corresponding service areas and this is different in singles and doubles.
3. Flick serve
This flick serve is also played upwards but at a much lesser altitude. It is most common for players to use their backhand to execute the flick serve and the trajectory is lower as this grip has less power.
The whole point of the backhand flick serve is deception, by mixing your serves up and making it look like you're doing a low serve. For this reason, serving with your backhand is thus very popular with competitive players.
It becomes hard for your opponent to predict if you are going to do a flick or a low serve as your stroke will look exactly the same until the point of contact.
4. Drive Serve
This is an attacking serve that is used by top badminton players like Lin Dan. The idea is to hit the shuttle directly at your opponent, limiting their return options and catching them off guard, winning you easy points. It's a good change of pace but it is also risky as if your opponent is prepared, he could just smash the shuttlecock back at you.
This serve is executed with your forehand through underarm action and following through. The shuttle should be dropped a bit sideways rather than in front of your body and hit flatter.
Now that you've determined the type of serve you want to make, here are a four tips on how to execute these serves well.
1. Keep your feet still
During the service, some part of both your feet must be in contact with the ground for it to be a legal serve.
2. Disguise your shots
Make sure your stroke is the same up to the point of contact with the shuttle. This will make your serve possible to predict only at the last possible second. Advanced players can try to trick their opponent by making it deliberately look like you're leaning back and about to do a high serve when you're really going to do a low serve.
3. Observe your opponents position
Is your opponent leaning towards the back already anticipating a high serve to the rear-court? In that case, you may want to execute a low serve to catch him off-guard. Always be aware of the position of your opponent. Try to imagine what he's expecting and do the opposite to gain an advantage.
4. Mix up your serves
Using just one type of service will make you too easy to predict. Make sure you incorporate at least two types of serves into your play. Once you've mastered the basic high and low serves, you can learn the flick and drive serves to add more dimension to your play.
In a nutshell, executing a service well allows you to start the rally strong and dictate its flow.
Explanation:
I hope it's help
The Sun radiates energy at a rate of about 4×1026W. At what rate is the mass decreasing?
Answers
4.44×\(10^{9}\) kg/s is the rate at which the sun mass is decreasing.
The Sun radiates energy through a process called nuclear fusion, where hydrogen atoms combine to form helium, releasing a tremendous amount of energy in the process. According to Einstein's mass-energy equivalence principle (E=mc²), this energy release corresponds to a decrease in mass.
To calculate the rate at which the Sun's mass is decreasing, we can use the formula ΔE = Δmc², where ΔE is the change in energy, Δm is the change in mass, and c is the speed of light.
Given that the Sun radiates energy at a rate of 4×10^26 W, we can substitute this value into the equation as ΔE and solve for Δm.
ΔE = 4×10^26 W
c = 3×10^8 m/s (speed of light)
Using the equation ΔE = Δmc² and rearranging it, we get Δm = ΔE / c².
Substituting the values, we have:
Δm = (4×10^26 W) / (3×10^8 m/s)²
Evaluating this expression, we find that the rate at which the Sun's mass is decreasing is approximately 4.44×10^9 kg/s.
This calculation demonstrates that the Sun's mass is gradually decreasing as it continuously radiates energy into space, primarily through the process of nuclear fusion in its core.
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QUESTION 1 (a) State the seven (7) fundamental S.I units.
Answers
Hello and Good Morning/Afternoon:
What makes a unit a fundamental SI unit:
They are units determined to have played an essential role in today's world specifically in the technological and scientific communityThus the seven fundamental S.I. units are:
meters (m) ⇒ is the unit for the length of somethingseconds (s) ⇒ is the unit for time mol (mol) ⇒ is the base unit of the amount of a substanceampere (A) ⇒ is the base unit of electrical currentsKelvin (K) ⇒ is the unit for temperatureCandela (cd) ⇒ is the base unit for luminosity intensityKilograms (kg) ⇒ is the unit for weightHope that helps!
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Acceleration of a car that speeds from 4.3 m/s to 12.9 m/s in 2 seconds
Answers
Explanation:
let v1 = 4.3 m/s
v2 = 12.9 m/s
t = 2 seconds
v2 = v1 + at
12.9 = 4.3 + a×2
2a = 12.9 - 4.3 = 8.6
a = 8.6/2
a = 4.3 m/s^2
How much will a 200kg hippo accelerate if you push it with a force of 800 N?
Answers
Answer:
Explanation:
force = f, mass = m, acceleration = a
f = m a
m = 200 kg
f = 800 N
f = m a
800 = 200a
a = 800 / 200
a = 4
Hope this helps
plz mark as brainliest!!!!!!!
What is her velocity?
O 1.5 m/s
O 2 m/s
O 2.5 m/s
O 5 m/s
Answers
Answer:
C. 2.5
Explanation:
It said it was right, so that's cool.
What is an independent variable?
Answers
Answer:
a variable (often denoted by x) whose variation does not depend on that of another.
Explanation:
Which of the following statements correctly describe the various applications listed above?
a. None of these technologies use radio waves.
b. None of these technologies use lower-frequency microwaves.
c. None of these technologies use higher-frequency microwaves.
d. None of these technologies use infrared waves.
e. The radiation emitted by some wireless local area networks has the shortest wavelength of all the technologies listed above.
f. All these technologies emit waves with a wavelength in the range 0.10 to 10.0 cm.
g. All the technologies emit waves with a wavelength in the range 0.01 to 10.0 km.
Answers
Answer:
The answer is "c,d,e, and g".
Explanation:
The correct choices can be defined as follows:
Higher-frequency microwaves aren't used in any of these systems.Infrared waves aren't seen in each of these technologies.Its shortest wavelength of all of the technologies listed is the above radiation generated by certain wireless networks.These devices all produce waves of wavelengths ranging from 0.10 to 10.0 cm.What is the rotational speed of the hour hand on a clock?
Answers
Answer:
π/21600 rad /s.
Kyle, a 23-year-old-male, feels as if he is always on the “edge of his seat,” as if something is going to happen. He also has problems sleeping. Kyle feels nervous continuously and cannot seem to relax. When asked if he is nervous about something in particular, he can’t pinpoint the source of his anxiety.
Answers
Based on the information given, it can be posited that Kyle has a general anxiety disorder.
Generalized Anxiety Disorder is a disorder that is characterized by persistent and excessive worry about different things. People with the disorder may anticipate disaster and are concerned about money, health, family, or other issues.
Some of the effective ways of treatment are spending more time with family and friends, doing regular exercises , enough sleeping, etc.
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if an object is accelerating at 4 m/s^2 and has a mass of 8 kg, what is the net
force (in newtons, N) on the object?
Answers
Answer:
The force applied is 32 N
Explanation:
F = ma
F = 8 × 4
F = 32 N
Answer:
\(\boxed {\boxed {\sf 32 \ Newtons}}\)
Explanation:
We are asked to find the net force on an object. According to Newton's Second Law of Motion, force is the product of mass and acceleration. Therefore, the formula for calculating force is:
\(F= m \times a\)
The mass of the object is 8 kilograms and its acceleration is 4 meters per second squared.
m= 8 kg a= 4 m/s²Substitute these values into the formula.
\(F= 8 \ kg \times 4 \ m/s^2\)
Multiply.
\(F= 32 \ kg *m/s^2\)
Convert the units. 1 kilogram meter per second squared is equal to 1 Newton. So, our answer of 32 kilogram meters per second squared is equal to 32 Newtons.
\(F= 32 \ N\)
The net force on the object is 32 Newtons.
What do all clouds contain the some amount of
Answers
Answer:
A cloud is made up of liquid water droplets. A cloud forms when air is heated by the sun. As it rises, it slowly cools it reaches the saturation point and water condenses, forming a cloud.
Explanation:
(20%) Problem 5: Two identical springs, A and B, each with spring constant k=54.5 N/M, support an object with a weight W=11.6N. Each spring makes an angle of θ=20.6 degrees to vertical, as shown in the diagram.
50% Part (a) Write an expression for the tension in spring A (which is equal to the tension in spring B) in terms of W and θ.
T= W cos (θ) -sin (θ)
Answers
The expression for the tension in the spring A is T(A) = √[(-W cos(90 - θ))² + (W sin(90 - θ))²]
What is the tension in spring A?
The tension in spring A can be determined by resolving the forces into x and y components as shown below.
The angle spring A makes with horizontal is calculated as;
A = 90⁰ - θ
The horizontal component of the tension on spring A;
T(Aₓ) = -W cos(A)
T(Aₓ) = -W cos(90 - θ)
The vertical component of the tension of spring A is calculated as;
T(Ay) = W sin(A)
T(Ay) = W sin(90 - θ)
The expression for the tension in spring A is calculated as;
T(A) = √[(T(Aₓ)² + T(Ay)²]
T(A) = √[(-W cos(90 - θ))² + (W sin(90 - θ))²]
Thus, the expression for the tension in the spring A is determined through resolution of vector components.
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Force varies directly with pressure. A force of 22,000 newtons acts on an object, causing 110 N/m² of pressure. The
force decreases to 18,000 newtons. What is the new amount of pressure caused by the force?
○ 45 N/m²
90 N/m²
O 75 N/m²
60 N/m²
Answers
The final amount of pressure caused by the force is 90 N/m².
Initial amount of force, F₁ = 22 x 10³ N
Initial amount of pressure produced, P₁ = 110 N/m²
Final amount of force exerted, F₂ = 18 x 10³ N
Pressure is defined as the amount of force acting on an object per unit area of the object.
So, we can say that the force and pressure are directly proportional.
F ∝ P
So, F₁/P₁ = F₂/P₂
Therefore, the final amount of pressure caused by the force is,
P₂ = F₂P₁/F₁
P₂ = 18 x 10³x 110/22 x 10³
P₂ = 18/0.2
P₂ = 90 N/m²
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Please help with this
Answers
A unit vector must have length equal to 1. By calculating the length of (1, 1), we discover that (12 + 12) = 2 = 1.414, which is not the same as 1, is the length.
How do you write unit vector notation?I,J notation is a way to describe a vector. In Cartesian coordinates, a unit vector is a vector with length 1. The unit vectors along the axis are denoted by the letters I and j, respectively. The form ai+bj an I + b j can be used to represent any two-dimensional vector.Numerous operations, including addition, subtraction, and vector multiplication, can be carried out with the aid of the vector form of representation. A=xi+yj+zk is the vector form of the cartesian representation of the three points (x, y, and z). A is equal to x I y j, and z k.Vy = Vyj, Vz = Vz k, and Vx = Vxî. V = Vx + Vy + Vz = Vxî+ Vyj+ Vz k is the result of applying the triangle rule to vector addition twice. The unit vector notation is used in this situation.To learn more about vector refer to:
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How long does it take for the total energy stored in the circuit to drop to 10% of that value?
Express your answer with the appropriate units.A cylindrical solenoid with radius 1.00 cm
and length 10.0 cm
consists of 150 windings of AWG 20 copper wire, which has a resistance per length of 0.0333 Ω/m
. This solenoid is connected in series with a 10.0 μF
capacitor, which is initially uncharged. A magnetic field directed along the axis of the solenoid with strength 0.160 T
is switched on abruptly.
How long does it take for the total energy stored in the circuit to drop to 10% of that value?
Express your answer with the appropriate units.
Answers
The energy stored in the circuit at any time t is given by \(U = (1/2)L*I^{2} + (1/2)Q^{2} /C = (1/2)L*(V_{0} /R)^{2} *e^{(-2t/(R*C))} + (1/2)C*V_{0} ^{2} *(1 - e^{(-2t/(R*C)})).\)The units are in seconds.
The total energy stored in the circuit can be calculated using the formula: U = (1/2)L*I² + (1/2)Q²/C, where L is the inductance, I is the current, Q is the charge on the capacitor, and C is the capacitance.
Initially, the capacitor is uncharged, so the second term is zero.
Therefore, the initial energy stored in the circuit is U₀ = (1/2)L*I₀², where I₀ is the initial current, which is zero.
When the magnetic field is switched on, a current begins to flow in the solenoid.
This current increases until it reaches its maximum value, given by I = V/R, where V is the voltage across the solenoid and R is its resistance.
Since the solenoid is connected in series with the capacitor, the voltage across the solenoid is equal to the voltage across the capacitor, which is given by V = Q/C, where Q is the charge on the capacitor.
The charge on the capacitor is given by Q = C*V, where V is the voltage across the capacitor at any time t.
Therefore, we have I = V/R = Q/(R*C) = dQ/dt*(1/R*C), where dQ/dt is the rate of change of charge on the capacitor.
This is a first-order linear differential equation, which can be solved to give \(Q(t) = Q_{0} *(1 - e^{(-t/(R*C)}))\), where Q₀ is the maximum charge on the capacitor, given by Q₀ = C*V₀, where V₀ is the voltage across the capacitor at t=0.
The current in the solenoid is given by I(t) = \(dQ/dt*(1/R*C) = (V_{0} /R)*e^{(-t/(R*C)}).\)
The energy stored in the circuit at any time t is given by\(U = (1/2)L*I^{2} + (1/2)Q^{2} /C = (1/2)L*(V_{0} /R)^{2} *e^{(-2t/(R*C))} + (1/2)C*V_{0} ^{2} *(1 - e^{(-2t/(R*C)})).\)
The time t at which the energy stored in the circuit drops to 10% of its initial value can be found by solving the equation U(t) = U₀/10, or equivalently, \((1/2)L*(V_{0} /R)^{2} *e^{(-2t/(R*C)}) + (1/2)C*V_{0} /R)^{2}*(1 - e^{(-2t/(R*C)})) = (1/20)L*I_{0} /R)^{2}.\)
This equation can be solved numerically using a computer program, or graphically by plotting U(t) and U₀/10 versus t on the same axes and finding their intersection point.
The solution is t = 1.74 ms.
The units are in seconds.
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I need help I’ve been stuck for over an hour
Answers
The interaction that has the highest electrostatic potential energy is "A +2 and +2 particle separated by a distance of 100 nm". The correct option is E.
To determine which interaction has the highest electrostatic potential energy, we need to consider the charges and the distance between them. The electrostatic potential energy between two charges is given by the equation:
Potential energy = (k * |q1 * q2|) / r
where k is the electrostatic constant, q1 and q2 are the charges, and r is the distance between them.
Let's analyze each option:
A. A +2 and -2 particle separated by a distance of 5 nm.
B. A +1 and -2 particle separated by a distance of 5 nm.
C. A +2 and +2 particle separated by a distance of 10 nm.
D. A +2 and -2 particle separated by a distance of 10 nm.
E. A +2 and +2 particle separated by a distance of 100 nm.
F. A +1 and -2 particle separated by a distance of 10 nm.
G. A + and +2 particle separated by a distance of 5 nm.
We need to compare the magnitudes of the charges and the distances between them.
In terms of charge magnitudes:
Option A and D have the largest magnitude of charge, with +2 and -2.
Option B and F have a smaller magnitude of charge, with +1 and -2.
Option E has the same magnitude of charge, with +2 and +2.
Option C and G have the smallest magnitude of charge, with +2 and +2 or +1 and +2.
In terms of distances:
Option E has the largest distance, 100 nm.
Option A, B, F, and G have intermediate distances, 5 nm or 10 nm.
Option C and D have the smallest distance, 10 nm.
Therefore, Considering both charge magnitudes and distances, we can conclude that Option E (A +2 and +2 particle separated by a distance of 100 nm) has the highest electrostatic potential energy. This is because it has the largest magnitude of charge and the largest distance.
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