A thin circular disk of radius R = 30 cm is oriented in the yz-plane with its center as the origin. The disk carries a total charge Q = +3 mu C distributed uniformly over its surface. Calculate the magnitude of the electric field due to the disk at the point x = 15 cm along the x-axis. 4.98 times 10^5 N/C 2.49 times 10^5 N/C 3.32 times 10^5 N/C 9.95 times 10^5 N/C 1.99 times 10^5 N/C
Answers
The magnitude of the electric field due to the disk at the point x = 15 cm along the x-axis is approximately 2.99 x 10⁶ N/C. Rounded to two significant figures, the answer is 3.0 x 10⁶ N/C.
What is the magnitude?The magnitude of a physical quantity is a measure of the size of that quantity, and is usually expressed using an appropriate unit of measurement. Magnitude is a way of expressing the size of something without specifying its exact size. For example, when referring to the magnitude of an earthquake, one might say "it was a magnitude 7 earthquake".
To calculate the electric field at a point on the x-axis due to a uniformly charged disk, we can use the formula:
\(\mathrm{E = (1/4\pi \p \epsilon_0) \times Q / r^2 \times sin(\theta)}\)
where ε₀ is the permittivity of free space,
Q is the total charge on the disk, r is the distance from the center of the disk to the point where we want to calculate the electric field,
and θ is the angle between the normal to the disk and the line connecting the center of the disk to the point where we want to calculate the electric field.
In this problem, the disk is oriented in the yz-plane, so the normal to the disk is in the x-direction. The distance from the center of the disk to the point where we want to calculate the electric field is 15 cm.
The angle θ is the angle between the normal to the disk and the line connecting the center of the disk to the point where we want to calculate the electric field.
Since the disk is centered at the origin, the line connecting the center of the disk to the point on the x-axis is also in the x-direction, so θ = 0.
We can therefore simplify the formula to:
\(\mathrm{E = (1/4\pi \p \epsilon_0) \times Q / r^2 }\)
Substituting the given values, we get:
\(\mathrm{E = (1/4\pi \p \epsilon_0) \times (3\mu C) / (0.15)^2 }\)
We can calculate the value of 1/4πε₀ as 9 so:
\(\mathrm{E = (9.0 \times 10^9 \ N \cdot m^2/C^2) \times (3\mu C) / (0.15)^2 }\)
E = 2.99 x 10⁶ N/C
Therefore, the magnitude of the electric field due to the disk at the point x = 15 cm along the x-axis is approximately 2.99 x 10⁶ N/C. Rounded to two significant figures, the answer is 3.0 x 10⁶ N/C.
To learn more about magnitude from given link
https://brainly.com/question/14452091
#SPJ4
Related Questions
The launching catapult of the aircraft carrier gives the jet fighter a constant acceleration of 59 m/s2 from rest relative to the flight deck and launches the aircraft in a distance of 97 m measured along the angled takeoff ramp. If the carrier is moving at a steady 26 knots (1 knot = 1.852 km/h), determine the magnitude v of the actual velocity of the fighter when it is launched.
Answers
Answer:
Explanation:
We shall find the final velocity of aircraft with respect to aircraft carrier using the following relation.
v² = u² + 2as
v² = 0² + 2 x 59 x 97
v² = 11446
v = 107 m /s
velocity of aircraft carrier = 1.852 x 26 = 48.152 km/h
= 48.152 x 1000 / (60 x 60) m/s
= 13.37 m /s
This velocity of aircraft carrier will be added to the velocity of aircraft .
So absolute velocity of aircraft = 107 m /s + 13.37 m/s
= 120.37 m/s
HELP PLS
The minimum frequency for the photoelectric effect of a zinc plate is 9.7 × 10^14 Hz. If a green photon with a wavelength of 532nm strikes the plate, will electrons be emitted? Show your work to support your answer.
Answers
yes electrons will be emitted with the kinetic energy of
\(30.87 \times 10 { }^{ - 19} j\)
what is photoelectric effect?
In photoelectric effect, the electrically charged particles are released from or within a material when it absorbs electromagnetic radiation.
what is kinetic energy?
It is a form of energy that an object or a particle has by reason of its motion. If work, which transfers energy, is done on an object by applying a net force, the object speeds up and thereby gains kinetic energy.
Given:
wavelength,λ
\( = 5.32 \times 10 {}^{ - 8} m\)
Frequency
\( = 9.7 \times {10}^{14} \)
Einstein's photoelectric equation
€= w + KE
€ = hc/ λ
\( = \frac{6.63 \times {10}^{ - 34} \times 3 \times {10}^{8} } {5.32 \times 10 {}^{ - 8} } \)
\(€= 3.73 \times {10}^{ - 18} \)
w=h.f
\( = 6.63 \times {10}^{ - 34} \times 9.7 \times {10}^{14} \)
\( = 6.43 {10}^{ - 19} j\)
KE = € - W
\(37.3 \times {10}^{ - 19} - 6.43 \times {10}^{ - 19} \)
\(kE = 30.87 \times {10}^{ - 19} \)
learn more about photoelectric effect from here: https://brainly.com/question/1408276
#SPJ1
Car wheel's slip in mud. why?
Answers
Answer:
Because its wet
Explanation:
A basic principle for scientific research is that the experiment must be able to be replicated. What happens when an experiment is replicated?
A. A scientist publisher accepts the experimental results for printing.
B. No one in the scientific community agrees with the methods or results.
C. Other scientists perform the same experiment and get comparable results.
D. The scientific researcher preforms the experiment many times and gets the same results.
Explain
Answers
Answer: C
Explanation: i just took it
An 8.20 kg object is pulled along a horizontal surface by a force of 22.0 N. If its acceleration is 1.1 m/s2, what is the coefficient of friction between the two surfaces?
Answers
Answer:
0.5
Explanation:
In this picture,
Mathias is going to do some informational interviewing. What is one of the main benefits of doing these interviews?
O A.
OB.
O C.
O D.
A.He will gain insight about a new career opportunity.
B.He will likely be offered a position with a company.
C.He will be able to ask questions about job openings.
D.He will find out how much money everyone earns.
Answers
Answer:
A
Explanation:
One of the main benefits of informational interviewing is that it allows the person conducting the interviews to gain insights and information about a particular career or industry.
A horse is tied with a long rope at a pole. What distance will the horse run around the pole with rope tightly stretched, if it takes one and a half round?
Answers
Answer:
The horse will run a distance of 1.5 times the length of the rope around the pole with the rope tightly stretched.
Explanation:
The distance the horse will run around the pole with the rope tightly stretched can be calculated using the formula for the circumference of a circle:
Circumference = 2 × π × radius
Since the horse takes one and a half rounds, we need to multiply the circumference by 1.5 to get the total distance the horse runs around the pole.
Let's assume that the length of the rope is the radius of the circle, and the horse is tied at the center.
Therefore, the distance the horse will run around the pole with the rope tightly stretched is:
Distance = 1.5 × 2 × π × radius
Since the horse is tied with a long rope, we need to use the length of the rope as the radius of the circle.
Let's assume that the length of the rope is 'L'. Then the radius of the circle is equal to L/2π.
Substituting this value in the formula, we get:
Distance = 1.5 × 2 × π × (L/2π)
Simplifying the expression, we get:
Distance = 1.5 × L
Therefore, the horse will run a distance of 1.5 times the length of the rope around the pole with the rope tightly stretched.
find the coefficient of kinetic friction between the child and the slide if the slide is inclined at an angle of 28° below the horizontal
Answers
Given:
The acceleration of the child, a=1.26 m/s²
The angle of inclination, θ=28°
To find:
The coefficient of kinetic friction between the child and the slide.
Explanation:
The net force acting on the child when it is sliding down the slide is given by,
\(\begin{gathered} ma=mg\sin\theta-f \\ =mg\sin\theta-N\mu \\ =mg\sin\theta-mg\cos\theta\text{ }\times\mu \end{gathered}\)Where f is the frictional force, N is the normal force acting on the child, g is the acceleration due to gravity, and μ is the coefficient of kinetic friction.
On simplifying the above equation,
\(\begin{gathered} a=g\sin\theta-g\mu\cos\theta \\ \implies g\mu\cos\theta=g\sin\theta-a \\ \implies\mu=\frac{g\sin\theta-a}{g\cos\theta} \end{gathered}\)On substituting the known values,
\(\begin{gathered} \mu=\frac{9.8\sin28\degree-1.26}{g\cos28\degree} \\ =0.386 \end{gathered}\)Final answer:
The coefficient of kinetic friction between the child and the slide is 0.386
The amplitude of oscillations reduces to one-sixth of its original value in 10 oscillations. Find the logarithmic decrement.
Answers
Answer:
Explanation:To describe a damped harmonic oscillator, add a velocity dependent term, bx, where b is the vicious damping coefficient.
What is the Momentum of a ball that has a mass of 0.5 kg and a velocity of 20 m/s?
Answers
p = .5 x 20
p = 10
HELP !Which is an example of a destructive force that shapes Earth's surface?
clouds
volcanoos
wind orosion
sodiment deposits
Answers
Answer:
wind orosion is the correct answer dkr this
A speedboat travels at an average of 20ms-1 calculate the distance it will cover in 25mins
Answers
Answer:
30000m
Explanation:
25mins = 25 × 60
=1500secs
Let total distance=D
Average speed= total distance÷total time
20m/s= D÷1500secs
Cross multiplying
20×1500= D
=30000m
Which safety rule is MOST important when smelling the product of a chemical reaction?
Group of answer choices
Keep nose directly above open container.
Hold with tongs
Wear closed -toed shoes.
use a wafting motion.
Answers
Answer:
group of answer choices
Explanation:
what is threshold frequency?
Answers
Answer:
"the minimum frequency of radiation that will produce a photoelectric effect."
Explanation:
That answer was derived from gogle cuz my explanations was harder to explain but good luck
what type of relationship exists between momentum and mass
A direct
B inverse
C logarithmic
D quadratic
Answers
Answer:
Direct.
Explanation:
Assuming you are using the relationship p=m*v (momentum = mass * velocity) You can see that momentum will be directly affected by the mass of the object. (Assuming velocity stays constant. If mass doubles, momentum must double).
A gas is contained in a cylinder with a frictionless moveable piston at a pressure of 2.7 * 105 pascals and a volume of 0.04 cubic meters. What is the work done by the gaseous system if the volume is increased to 0.12 cubic meters ?
Answers
The work done by the gaseous system if the volume is increased to 0.12 cubic meters is given as 21,600 joules
How to solve for the workdoneTo find the work done by the gas, we can use the formula:
W = PΔV
where W is the work done, P is the pressure of the gas, and ΔV is the change in volume.
At the initial state, the pressure is P = 2.7 × 10^5 Pa and the volume is V1 = 0.04 m^3. At the final state, the volume is V2 = 0.12 m^3.
The change in volume is ΔV = V2 - V1 = 0.12 m^3 - 0.04 m^3 = 0.08 m^3.
Substituting these values into the formula, we get:
W = PΔV = (2.7 × 10^5 Pa) × (0.08 m^3) = 21,600 J
Therefore, the work done by the gaseous system is 21,600 joules (J).
Read more on gaseous system here: https://brainly.com/question/26977939
#SPJ1
Answer:
4.6x10^4 joules
Explanation:
Question 15 of 25
A horticulturist is planning a garden that is 1 mx 3 m. She uses a model to
plan it. Which dimensions could she use to make a scale model?
O A. 0.5 mx 1.5 m
O B. 50 cm x 100 cm
O C. 1 mx 2 m
D. 16 cm x 36 cm
SUBMIT
Answers
Answer:
0.5 m x 1.5 m
4. Describe how the velocity of an object changes if it undergoes uniformly acceleration motion. Can its direction change?
Answers
Answer:
n the case of linear motion, the change occurs in the magnitude of the velocity, the direction remaining constant.
In the case of circular motion, the magnitude of the velocity remains constant, the change in its direction occurring.
Explanation:
Velocity is a vector therefore it has magnitude and direction, a change in either of the two is the consequence of an acceleration on the system.
In the case of linear motion, the change occurs in the magnitude of the velocity, the direction remaining constant.
\(a_{t}\) = (v₂-v₁)/Δt
In the case of circular motion, the magnitude of the velocity remains constant, the change in its direction occurring.
\(a_{c}\) = v2/R
In the general case, both the module and the address change
a = Ra ( a_{t}^2 + a_{c}^2)
The velocity of an object changes if it undergoes uniformly acceleration
motion by considering if it is:
Positive constant accelerationNegative constant accelerationWhat is Velocity?This is the rate of change of an object's position with time. If the object has
positive constant acceleration, the slope goes upward while if it is a
negative constant acceleration, the slope goes downward.
The direction doesn't change as a result of the uniform speed and
direction that is involved.
Read more about Velocity here https://brainly.com/question/6504879
Two air-filled parallel-plate capacitors with capacitances C1 and C2 are connected in parallel to a battery that has a voltage of 36.0 V; C1 = 4.00 μF and C2 = 6.00 μF.
Answers
36 × 10⁻⁵ C is the total charge for Two air-filled parallel-plate capacitors with capacitances C1 and C2 are connected in parallel to a battery that has a voltage of 36.0 V; C1 = 4.00 μF and C2 = 6.00 μF.
As it is given
A battery is linked in parallel with two air-filled parallel-plate capacitors with capacitances C1 and C2.
C1 = 4μF
C2 = 6μF
For the capacitors connected in parallel
Resultant Capacitance = C1 + C2 = 10μF = 10 × 10⁻⁶ F
C = 10⁻⁵ F
Voltage = 36 V
Total charge = Resulting Capacitance × Voltage
= 10⁻⁵ × 36
= 36 × 10⁻⁵ C
Learn more about Capacitance here https://brainly.com/question/13578522
#SPJ9
FILL IN THE BLANK. A ________ is a well-tested and widely accepted view that best explains certain scientific observations.
Answers
A scientific theory is a well-tested and widely accepted view that best explains certain scientific observations.
A scientific theory is a comprehensive and coherent explanation of a set of phenomena based on empirical evidence. It is not just a guess or speculation, but rather a well-supported and well-tested explanation that has been subjected to rigorous testing and scrutiny by the scientific community. Scientific theories are supported by a large body of evidence, and they can be used to make predictions and guide further research.
Scientific theories are an important part of the scientific method, which is a systematic approach to gaining knowledge and understanding about the natural world. Theories play a critical role in helping scientists make sense of their observations and in developing new ideas and hypotheses.
To know more about the scientific observations, here
brainly.com/question/28297334
#SPJ4
What is the acceleration?
Answers
Answer:
d. 11.5 m/s²
Explanation:
s = ½at²
a = 2s/t²
a = 2(92)/4.0²
a = 11.5 m/s²
prepare a report on why a vehicle needs to be maintained/serviced after a certain period of time. How is servicing different in a petrol/diesel and electric vehicle?
Answers
Vehicles need to be serviced for several reasons such as preventing costly repairs and improving fuel economy.
Why should cars be maintained and / or serviced ?First, regular maintenance can help to prevent costly repairs down the road. Second, maintenance can help to improve fuel economy and emissions. Third, maintenance can help to keep your vehicle safe and reliable.
The servicing requirements for petrol/diesel and electric vehicles differ in a number of ways. Petrol/diesel vehicles require oil changes more frequently than electric vehicles. This is because petrol/diesel engines use oil to lubricate the moving parts, while electric motors do not. Petrol/diesel vehicles also require tune-ups more frequently than electric vehicles.
This is because petrol/diesel engines have more moving parts that need to be synchronized, while electric motors have fewer moving parts.
Find out more on servicing cars at https://brainly.com/question/30700999
#SPJ1
a car travels in a distance of4kmin 40 seconds find the speed in meter per seconds??
Answers
The speed of the car is 100 meters per second.
Speed is a measure of how quickly an object moves from one place to another. It is calculated by dividing the distance traveled by the time taken to cover that distance.
To find the speed of the car in meters per second, we need to convert the distance traveled from kilometers to meters and the time taken from seconds to hours.
Distance traveled = 4 km = 4,000 meters
Time taken = 40 seconds = 40/3,600 hours = 0.0111 hours
Now, we can use the formula:
Speed = Distance / Time
Speed = 4,000 meters / 0.0111 hours
Speed ≈ 360,360 meters per hour
Finally, to convert the speed to meters per second, we divide by 3,600 (the number of seconds in an hour):
Speed = 360,360 meters per hour / 3,600 seconds per hour
Speed ≈ 100 meters per second
Therefore, the speed of the car is approximately 100 meters per second.
To learn more about the velocity-time graph click:
brainly.com/question/11290682
#SPJ1
Calculate the gravitational potential energy of an object with 100 kg as mass, colocated to 40 m of height. (g = 10 m/s^2)
Answers
Hello!!
For calculate the GPE let's applicate the formula:
\(\boxed{GPE = m g h}\)
\(\textbf{Being:}\)
\(\sqrt{}\) GPE = Gravitational potential energy = ?
\(\sqrt{}\) m = Mass = 100 kg
\(\sqrt{}\) g = Gravity = 10 m/s²
\(\sqrt{}\) h = Height = 40 m
⇒ \(\text{Then let's \textbf{replace it according} we information:}\)
\(GPE = 100 \ kg * 10 \ m / s ^{2} * 40 \ m\)
⇒ \(\text{Let's resolve it: }\)
\(GPE = 40000 \ J\)
\(\textbf{Result:}\\\text{The gravitational potential energy is \textbf{40 000 Joules}}\)
Answer:
What ever, thanks for the points
Explanation:
cyclist always bends when moving the direction opposite to the wind. Give reasons
Answers
PLEASE ANSWER FASG I WILL MARK BRAINELIST PLEASEEEEE
The number of protons in the nucleus of an atom determines the species of the atom, i.e., the element to which the atom belongs. An atom has the same number of protons and neutrons. But the electron number cannot be used instead because (5 points)
a. electrons are not within the nucleus
b. electrons are negatively charged
c. electrons can be removed from or added to an atom
d. electrons are lighter than protons
Answers
The electron number cannot be used instead because electrons can be removed from or added to an atom (option C)
Why the electron number cannot be used instead?The element of an atom is determined by its proton count, while the electron count can exhibit variability. Take, for instance, a sodium atom, which encompasses 11 protons and 11 electrons. However, it has the capacity to relinquish one electron, transforming into a sodium ion housing only 10 electrons.
This occurs due to the relatively loose binding of electrons to the nucleus, enabling their removal through the influence of an electric field or alternative mechanisms.
Learn about electron here https://brainly.com/question/13998346
#SPJ1
The chains of a swing on a playground swing set are 4.0 m
long. What is the period of this swing?
Express your answer to two significant figures and include the appropriate units.
Answers
Answer:
2.54 seconds
Explanation:
The period of a swing on a playground swing set can be calculated using the formula:
T = 2π√(L/g)
where T is the period, L is the length of the swing's chain, and g is the acceleration due to gravity, which is approximately 9.81 m/s².
Substituting the given values, we get:
T = 2π√(4.0 m/9.81 m/s²)
T = 2π√0.407
T = 2.54 s (rounded to two significant figures)
Therefore, the period of the swing is 2.54 seconds.
Hope this helps!
An owl accidentally drops a mouse it is carrying, while flying horizontally at a speed of 16.0 m/s. The mouse drops to the ground 15.0 m below. What is the impact speed with which the mouse hits the ground?
Answers
The impact speed of the mouse is 23.3 m/s as per the data given in the question.
What is velocity?Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.
To solve for the impact speed, we can use the following equation:
\(v^2 = u^2 + 2as\)
Where:
v = impact speed,
u = initial speed (which is the horizontal speed of the owl),
a = acceleration due to gravity (9.8 m/\(s^2\)), and
s = vertical distance fallen (15.0 m).
Substituting the known values, we get:
\(v^2 = 16.0^2 + 2 X 9.8 X 15.0\)
\(v^2\) = 256 + 294
\(v^2\) = 550
v = sqrt(550 )
v = 23.3 m/s
Thus, the impact speed of the mouse is 23.3 m/s.
For more details regarding velocity, visit:
https://brainly.com/question/30559316
#SPJ9
help pls!!
Fig above shows a wave traveling through a medium. Use the fig to answer the questions below.
A) What is the amplitude of the wave ? Include correct units.
B) Use the graph to determine the time of one wave. Use it to find the frequency.
C) If the speed of the wave is 25 cm/s, what is the wavelength of the wave ? Show data listing, equation , substitution leading to the answer for full credit.
Answers
(a) The amplitude of the wave is determined as 8 cm.
(b) The period of the wave motion is 20 s and the frequency of the wave is 0.05 Hz
(c) The wavelength of the wave is 500 cm.
What is the amplitude of the wave ?(a) The amplitude of the wave is the maximum displacement of the wave.
from the graph, amplitude of the wave = 8 cm
(b) The period of the wave motion is calculated as;
T = 20 s
The frequency of the wave = 1/T = 1/20 s = 0.05 Hz
(c) The wavelength of the wave is calculated by applying the following wave formula.
λ = v / f
λ = 25 cm/s / 0.05 Hz
λ = 500 cm
Learn more about wavelengths here: https://brainly.com/question/10728818
#SPJ1
The philosopher Robert Nozick imagined an “experience machine” to show that a core feature of utilitarianism (as conceived by Bentham and Mill) does not conform with most people’s intuitions about “the good life.” Which of these core features of utilitarianism was Nozick’s main target?
Answers
Robert Nozick opines that individuals own themselves and hence have a right to own property.
What is utilitarianism?The term utilitarianism refers to the philosophical ideology that in the use of commodities, the best options is that which maximizes utility or satisfaction derived from the commodity.
In the position of Robert Nozick, utilitarianism means that individuals own themselves and hence have a right to own property.
Learn more about utilitarianism : https://brainly.com/question/10548094