Answer:
a) Energy stored in the capacitor, \(E = 1.0125 *10^{-3} J\)
b) Q = 45 µC
c) C' = 1.5 μF
d) \(E = 6.75 *10^{-4} J\)
Explanation:
Capacitance, C = 1 µF
Charge on the plates, Q = 45 µC
a) Energy stored in the capacitor is given by the formula:
\(E = \frac{Q^2}{2C} \\\\E = \frac{(45 * 10^{-6})^2}{2* 1* 10^{-6}}\\\\E = \frac{2025 * 10^{-6}}{2}\\\\E = 1012.5 *10^{-6}\\\\E = 1.0125 *10^{-3} J\)
b) The charge on the plates of the capacitor will not change
It will still remains, Q = 45 µC
c) Electric field is non zero over (1-1/3) = 2/3 of d
From the relation V = Ed,
The voltage has changed by a factor of 2/3
Since the capacitance is given as C = Q/V
The new capacitance with the conductor in place, C' = (3/2) C
C' = (3/2) * 1μF
C' = 1.5 μF
d) Energy stored in the capacitor with the conductor in place
\(E = \frac{Q^2}{2C} \\\\E = \frac{(45 * 10^{-6})^2}{2* 1.5* 10^{-6}}\\\\E = \frac{2025 * 10^{-6}}{3}\\\\E = 675 *10^{-6}\\\\E = 6.75 *10^{-4} J\)
Assume that, when we walk, in addition to a fluctuating vertical force, we exert a periodic lateral force of amplitude 25 NN at a frequency of about 1 HzHz. Given that the mass of the bridge is about 2000 kgkg per linear meter, how many people were walking along the 144-mm-long central span of the bridge at one time, when an oscillation amplitude of 75 mmmm was observed in that section of the bridge
Complete Question
The complete question is shown on the first uploaded image
Answer:
Explanation:
From the question we are told
The amplitude of the lateral force is \(F = 25 \ N\)
The frequency is \(f = 1 \ Hz\)
The mass of the bridge per unit length is \(\mu = 2000 \ kg /m\)
The length of the central span is \(d = 144 m\)
The oscillation amplitude of the section considered at the time considered is \(A = 75 \ mm = 0.075 \ m\)
The time taken for the undriven oscillation to decay to \(\frac{1}{e}\) of its original value is t = 6T
Generally the mass of the section considered is mathematically represented as
\(m = \mu * d\)
=> \(m = 2000 * 144\)
=> \(m = 288000 \ kg\)
Generally the oscillation amplitude of the section after a time period t is mathematically represented as
\(A(t) = A_o e^{-\frac{bt}{2m} }\)
Here b is the damping constant and the \(A_o\) is the amplitude of the section when it was undriven
So from the question
\(\frac{A_o}{e} = A_o e^{-\frac{b6T}{2m} }\)
=> \(\frac{1}{e} =e^{-\frac{b6T}{2m} }\)
=> \(e^{-1} =e^{-\frac{b6T}{2m} }\)
=> \(-\frac{3T b}{m} = -1\)
=> \(b = \frac{m}{3T}\)
Generally the amplitude of the section considered is mathematically represented as
\(A = \frac{n * F }{ b * 2 \pi }\)
=> \(A = \frac{n * F }{ \frac{m}{3T} * 2 \pi }\)
=> \(n = A * \frac{m}{3} * \frac{2\pi}{25}\)
=> \(n = 0.075 * \frac{288000}{3} * \frac{2* 3.142 }{25}\)
=> \(n = 1810 \ people\)
Find the acceleration of a car that goes from 16 m/s to 48 m/s in 8 seconds. Help asappp and put units plssss
Answer:
48 m/s - 16 m/s = 32 m/s
(32 m/s )/ (8 s) = 4 m/s²
Find distance between two object of radius 6 cm and 2 cm
The distance between two objects of radius 6 cm and 2 cm is zero
To find the distance between two objects with radii of 6 cm and 2 cm, we need to consider the center-to-center distance between the objects and subtract the sum of their radii.
Let's denote the radii of the objects as r1 = 6 cm and r2 = 2 cm.
The distance between the centers of the objects can be represented as d = r1 + r2. Adding the radii ensures that we account for the space occupied by both objects.
Substituting the values, we have d = 6 cm + 2 cm = 8 cm.
Now, to find the actual distance between the objects, we subtract the sum of their radii from the center-to-center distance:
Distance = d - (r1 + r2) = 8 cm - (6 cm + 2 cm) = 8 cm - 8 cm = 0 cm.
The resulting distance is 0 cm, indicating that the objects are in direct contact with each other. This means that their surfaces are touching. When the distance between two objects is zero, it implies that they are overlapping or in physical contact. In this case, since the distance is equal to 0 cm, the two objects are touching each other, with their surfaces coming into contact.
Know more about distance here:
https://brainly.com/question/26550516
#SPJ8
A botanist is measuring plants to determine amount of growth after fertilizer was used. A ruler was used for the measurements. Which type of measurement is being collected?
Question 6 options:
a)
Linear
b)
Volume
c)
Mass
d)
Weight
Answer:
Hi there!
Your answer is:
A. Linear
Explanation:
Linear measurement is when you measure things in a straight line using tools such as a ruler, yardstick or tape measure. To measure height, they are using a ruler, which is a form of linear measurement!
I hope this helps!
what is borh's postulates for the hydrogen atom
Answer:
An atom has a number of stable orbits in which an electron can reside without the emission of radiant energy. ... Each orbit corresponds, to a certain energy level.
Explanation:
Hope it is helpful....
3. Observe: An organelle is a cell structure that performs a specific function. Observe the samples below under the highest magnification. Click the Show labels checkbox to label the organelles. List the organelles and approximate size of the cells in each sample.
Organelles are specialized structures within cells that perform specific functions, such as energy production, protein synthesis, and waste removal.
Some examples of organelles include mitochondria, which produce energy for the cell, and ribosomes, which are involved in protein synthesis.
The size of cells can vary widely depending on the organism and the type of cell. For example, human cells can range from 10 to 30 micrometers in diameter, while bacterial cells are typically much smaller, ranging from 1 to 5 micrometers in diameter.
In summary, organelles are specialized structures within cells that perform specific functions, and the size of cells can vary widely depending on the organism and the type of cell.
To know more about organelles, visit:
https://brainly.com/question/2135497
#SPJ1
Why did Thomson observe two glowing dots when he put neon gas into a
cathode-ray tube?
Answer:
Electrons accelerated to high velocities travel in straight lines through an empty cathode ray tube and strike the glass wall of the tube, causing excited atoms to fluoresce or glow.
Groups that play a pivotal role in the socialization process are called
A. master statuses.
B. aggregates.
C. secondary groups.
D. primary groups.
Answer:
Groups that play a pivotal role in the socialization process are called: primary groups.
PLEASE HELP!! Lab: Electromagnetic Induction
Answer:
I think this is the answer
Explanation:
what happened in my room
Answer:
A GHOST CAME! Booooo!!!!!!Hah lol
Nan is upset because she has not lost enough weight to buy the new swimsuit that she had wanted, so she imagines herself on the beach having fun with her friends in her current swimsuit. Nan is using mental images to
Group of answer choices
When the accompanying stimuli are not present, we can alter and reactivate internal representations through mental imagery. This procedure results in the phenomenon known as "seeing with the mind's eye" when it comes to visual mental images. Thus, option B is correct.
What is the use of mental images?Mental imagery is mostly used to simulate potential future events and "relive" previous experiences. According to this viewpoint, imagery ought to be investigated in a variety of cognitive tasks as well as on its own.
Although it is widely used to enhance physical performance, mental imagery can also benefit tasks that need both cognitive and emotional functioning, such as managing emotions and stress or public speaking.
Therefore, change her feelings. Studies have demonstrated that imaging can promote relaxation in the body and mind. Manage depression, stress, and anxiety are other benefits. Help lessen the agony
Learn more about mental images here:
https://brainly.com/question/28535758
#SPJ1
The given question is incomplete. The complete question is given below:
Nan is upset because she has not lost enough weight to buy the new swimsuit that she had wanted, so she imagines herself on the beach having fun with her friends in her current swimsuit. Nan is using mental images to
a.
Prepare for some action.
b.
Change her feelings.
c.
Make a decision.
d.
Aid memory.
I need help on this question!
Answer:
All of these
Explanation:
Have a great day!
Answer:
D
Explanation:
this is because the EMS is arranged according to all these factors, the most dangerous waves are the smallest
Derive, using newtons second law
m1 = 559.5g
m2 = 569.3g
ay = ?
g = ?
a_y=g((m_2-m_1)/(m_2+m_1 ))
Answer:
Explanation:
convert the mass from g to kg
1 g = 0,001 kg
m1 =559,5 g = 5,595 kg
m2 = 569,3 g = 5,569 kg
Newtons second Law
F = m *a = m * g
g = 10 m/s^2
a_y = g ((m_2 - m_1) / (m_2+m_1))
a_y = 10 m/s^2 * ((5,569kg -5,595kg) / (5,569kg + 5,595kg))
a_y = 10 m/s^2 [(-0,026kg) / 11,164kg]
a_y = 10 m/s^2 (-0,0023)kg
a_y = - 0,023 kg m / s^2
The knee extensors insert on the tibia at an angle of 30 degrees (from the longitudinal axis of the tibia), at a distance of 3 cm from the axis of rotation at the knee. How much force must the knee extensors exert to produce an angular acceleration at the knee of 1 rad/s2 , given a mass of the lower leg and foot of 4.5 kg, and a radius of gyration of 23 cm
Answer:
the knee extensors must exert 15.87 N
Explanation:
Given the data in the question;
mass m = 4.5 kg
radius of gyration k = 23 cm = 0.23 m
angle ∅ = 30°
∝ = 1 rad/s²
distance of 3 cm from the axis of rotation at the knee r = 3 cm = 0.03 m
using the expression;
ζ = I∝
ζ = mk²∝
we substitute
ζ = 4.5 × (0.23)² × 1
ζ = 0.23805 N-m
so
from; ζ = rFsin∅
F = ζ / rsin∅
we substitute
F = 0.23805 / (0.03 × sin( 30 ° )
F = 0.23805 / (0.03 × 0.5)
F F = 0.23805 / 0.015
F = 15.87 N
Therefore, the knee extensors must exert 15.87 N
An object of mass m is moving on a horizontal rough surface. At a certain point it has a speed v m/s and it comes to a stop after traveling 32 m. If the coefficient of friction between the object and the surface is 0.40, what is the value of speed v? Use g= 10 m/s?.
The speed of the object v is 16 m/s.
The mass of the object moving on the horizontal surface is m.
The speed of the object is v m/s.
The coefficient of friction, μ = 0.40
The acceleration due to gravity, g = 10 m/s²
So, the initial velocity is v m/s and the final velocity is 0 m/s.
The total distance traveled by the object is 32 meters.
The formula for force is:
F = ma
Now,
ma = - μmg
a = - μg
a = - 0.40 × 10 = - 4 m/s²
The distance, s = 32 meters
Using the equation of motion,
v² = u² + 2as
0 = v² + 2( - 4 )( 32 )
0 = u² - 256
u² = 256
u = √256 = 16 m/s
Hence, the value of the speed v is 16 m/s.
Learn more about speed here:
brainly.com/question/26046491
#SPJ9
Find three consecutive even integers such that the sum
of the squares of the lesser two integers is equal to the
square of the greatest,
Answer:Hi, Sam!
Okay, so let's call the 3 consecutive even integers, X, X + 2 , X +4
So the sum of the smaller two (X +X + 2) = X + 4 +6
2X +2 = X + 10
X = 8
Therefore,
X = 8
X + 2 = 10
X + 4 + 12
These are your integers
Explanation:
Which one of the following is not a part of the Particle Theory?
1 All matter is made of particles
2 particles move faster when cooled
3 particles move faster when heated
4 particles are attracted to each other
The only option that is not a part of the particle theory is, particles move faster when cooled.
What is particle theory of matter?The particle theory of matter states that all matter consists of tiny particles which are in state of constant motion, colliding with one another and with of the containing vessel.
These theory can be summarized as;
All matter is made of particlesParticles move faster when heatedParticles are attracted to each otherThus, the only option that is not a part of the particle theory is, particles move faster when cooled.
Learn more about particle theory of matter here: https://brainly.com/question/11155407
a 70kg man spreads his legs as shown calculate the tripping force
This is simply defined as the energy of an object as an attribute of a physical movement
Force
This is simply defined as the energy of an object as an attribute of a physical movement
it is important to note that a tripping for will be a force opposing motion therefore
For a 70kg man trip on a force the for it must me acted upon by a Force
For more information on this visit
https://brainly.com/question/21811998
A body travels a distance of 15m from A to B and then moves a distance of 20m at right angles to
AB. Calculate the total distance travelled and the displacement.
Total distance travelled is 35m and displacement is 25m.
Distance: Distance is a scalar that expresses the total distance traveled by an object. It's a measure of physical distance that's covered and always good. The distance has nothing to do with the direction, only the magnitude of the change is determined.
Displacement: Displacement is the vector of change in the position of an object. It takes into account the magnitude and direction of change in position from the starting point to the ending point. Perception can be positive, negative or zero depending on the direction of movement.
Total distance = 15m + 20m
Total distance = 35m
Displacement = \(\sqrt{15^{2} +20^{2} \\}\) (as both are perpendicular to each other)
Displacement = 25m
Therefore, Total distance is 35m and displacement is 25m.
To learn more about Displacement:
https://brainly.com/question/11934397?referrer=searchResults
A plot of land contains 3.6 acres. How many square meters does it contain? [1 acre = 43,560 ft?)
Answer:
It contains approximately 14,568.7 square meters
Explanation:
Area Units Conversion
There are several units to express the area of a shape:
\(cm^2,\ m^2,\ km^2,\ ft^2,\ in^2,\ acres, \ hectares\)
The process of expressing the area from one unit to the other is called a conversion.
Specifically, we are interested in converting from acres to square meters. The rule to make the conversion is:
\(1 acre = 4,046.86\ m^2\)
The plot of land has 3.6 acres, thus its area is:
\(3.6 * 4046.86 =14,568.696\ m^2\)
It contains approximately 14,568.7 square meters
A fluid exerts 50 N of force over an area that measures 5 m2. What is the pressure by exerted the fluid?
20 Pa
10 Pa
15 Pa
30 Pa
\(\sf{\underline{\underline{\qquad \clubsuit \: Given :\clubsuit\qquad}}} \\ \)
Force = 50 NArea = 5 m²\(\sf{\underline{\underline{\qquad \clubsuit \: To \:Find :\clubsuit\qquad}}} \\ \)
The pressure exerted by the fluid = ?\(\sf{\underline{\underline{\qquad \clubsuit \: Solution :\clubsuit\qquad}}} \\ \)
\(:\implies\sf Pressure = \dfrac{Force}{Area} \\ \\ \\ \)
\(:\implies\sf Pressure = \dfrac{50}{5} \\ \\ \\ \)
\(:\implies \underline{ \boxed{\sf Pressure = 10 \:pascal }}\\ \\ \\ \)
\(\therefore{\underline{\textsf{The pressure exerted by the fluid is \textbf{10 pascal}}}}. \\ \)
Brainlist!! Help!! Atom A consists of 10 protons, 12 neutrons, and 10 electrons.
Atom B consists of 10 protons, 10 neutrons, and 12 electrons.
The atoms are isotopes of each other.
The atoms are not isotopes of each other.
Atom A has 10 protons, 12 neutrons, and 10 electrons, while Atom B has 10 protons, 10 neutrons, and 12 electrons.
Atom A and Atom B are not isotopes of each other. Isotopes are atoms of the same element that differ in the number of neutrons but have the same number of protons. In this case, Atom A and Atom B have different numbers of protons, which means they are not isotopes of each other.
The number of protons determines the element, and since Atom A and Atom B have different numbers of protons, they belong to different elements.
Isotopes, on the other hand, have the same number of protons but differ in the number of neutrons.
This variation in the number of neutrons gives isotopes different atomic masses while retaining the same chemical properties.
However, Atom A and Atom B do not fulfill this criterion, so they cannot be considered isotopes of each other.
For more such questions on electrons
https://brainly.com/question/860094
#SPJ8
I NEED YOUR HELP!!
Calculate the minimum area moment of inertia for a rectangular cross-section with side lengths 6 cm and 4 cm.
52 cm4
72 cm4
32 cm4
24 cm4
2 cm4
Answer:
Minimum area of rectangle = 24 centimeter²
Explanation:
Given:
Length of rectangle = 6 centimeter
Width of rectangle = 4 centimeter
Find:
Minimum area of rectangle
Computation :
Minimum area of rectangle = Length of rectangle x Width of rectangle
Minimum area of rectangle = 6 x 4
Minimum area of rectangle = 24 centimeter²
I NEED HELP PLZZZZZZ
1 Which statement
about mas
A Mass and weight are both fo
3 Neither mass nor weight is a
C Only mass is a force.
Only weight is a force.
D Only weigh is a force
Only weigh is a force. force is mass multiplied by acceleration. weight is the mass plus the gravitational force acting on it.
The difference between mass and weight is that mass is a measure of inertia and weight is a measure of force. We use both of these terms interchangeably but this is not quite correct.
Mass can be defined as how much a material an object is made up of. so considering the smallest particles we can say that the number of protons, neutrons, and electrons in an object is a simply the measure of its mass. Mass, can be referred as both a property of an object and a measure of an object's resistance to acceleration. kilograms and grams is the unit of mass.
The weight of an object can be referred as the force acting on it because or due to gravity. That is, the gravitational interactions between bodies and masses, and when they interacts with the Earth, that force will be considered as the weight. its Unit is Newtons.
Learn more about Force here https://brainly.com/question/388851
#SPJ9
A wave has an amplitude of 0.0800 m
and is moving 7.33 m/s. One oscillator
in the wave takes 0.230 s to go from
one crest to the next crest. Find the
wavelength of the wave.
(Unit = m)
If a wave has an amplitude of 0.0800 m and is moving 7.33 m/s. The
wavelength of the wave is 1.69m.
What is the wavelength?The wavelength of a wave can be determined using the equation:
Wavelength = velocity / frequency
To determine the frequency we need to calculate the reciprocal of the time it takes for one complete oscillation.
frequency = 1 / time
frequency = 1 / 0.230
frequency ≈ 4.35 Hz
Substitute the values into the wavelength equation:
wavelength = velocity / frequency
wavelength = 7.33 / 4.35
wavelength ≈ 1.69m
Therefore the wavelength of the wave is approximately 1.69 meters.
Learn more about wavelength here:https://brainly.com/question/10728818
#SPJ1
What is Energy in physics?
Answer:
Energy, in physics, the capacity for doing work. It may exist in potential, kinetic, thermal, electrical, chemical, nuclear, or other various forms. There are, moreover, heat and work—i.e., energy in the process of transfer from one body to another.
Explanation:
Hope this helps!
please need answers ASAP.
Answer:
overloading can be avoided if two many appliances are not connected to a single socket short circuiting is a name given to a situation in which they live and the natural voice accidentally coming contact
on Truck drivers in your community load their trucks beyond what is required by traffic rules. They are always arrested and changed for over loading by the traffic police department.Present a sensitization message to truck owners and the police in your community using the scene of turning effect of forces and stability.
The sensitization message to truck owners and the police in my community using the scene of turning effect of forces and stability is Let us work together so that the prioritization of road safety as well as the stability in our community can be secured by the promotion of responsible behavior so that all all road users can be safe.
What is sensitization ?In the non-associative learning process of sensitization, the delivery of a stimulus repeatedly causes a response's volume to gradually increase. In addition to the recurrent stimulus, sensitization is frequently accompanied by an improvement in responsiveness to a whole class of stimuli.
This is a sort of community-level intervention where we work hand-in-hand with the local population using creative means of contact and communication that enable the target audience to relate to the problems on a personal level.
Learn more about sensitization at;
https://brainly.com/question/14472410
#SPJ1
6.
least 2 m. If the same car is moving with the speed 80K/h,what is the minimum stopping distance?
A car moving with a speed of 40 km/h can be stopped by applying the brakes after at-
The minimum stopping distance of the car is determined as 8 m.
What is the minimum stopping distance?The minimum stopping distance of the car is calculated as follows;
d = (u²)/(2a)
where;
d is the minimum stopping distanceu is the initial velocitya is the acceleration of the carwhen the minimum stopping distance = 2 m, initial velocity = 40 km/hr = 11.11 m/s
2 = (11.11²)/(2a)
a = (11.11²)/(2 x 2)
a = 30.86 m/s²
when the speed becomes 80 km/h, the minimum stopping distance is calculated as;
u = 80 km/h = 22.22 m/s
d = (22.22² )/ (2 x 30.86)
d = 8 m
Learn more about minimum stopping distance here: https://brainly.com/question/13030196
#SPJ1