In an uniform gravitational field the center of gravity is equal to center of mass of a mass distribution. The center of mass of a colinear discrete mass distribution is given by:
\(x_{cm}=\frac{1}{M}\sum ^N_{i\mathop=1}m_ix_i\)where M is the total mass of the system, m_i the mass of each particle and xi is its position. In this case we have:
\(undefined\)A force of 150 N is being applied over an area measuring 0.5 m². Calculate the pressure on the object ensuring you give the correct units.
Force(N)=150N
Area(A)=0.5m^2
Pressure(p)=?
We know that,
Pressure(p)=force/area
Or,p=150/0.5
Or,p=300
So,the pressure on the object is 300pascal.
Hope,it will help you!!
For a base motion system described by
mx $ + cx # + kx = cYωb cos ωbt + kY sin ωbt
with m = 100 kg, c = 50 N>m, Y = 0.03 m, and ωb = 3 rad>s, find largest value of the
stiffness k and that makes the transmissibility ratio less than 0.75.
The largest value of stiffness k that makes the transmissibility ratio less than 0.75 is 24.15 N/m.
To find the largest value of stiffness k that makes the transmissibility ratio less than 0.75, we first need to determine the transmissibility ratio.
The transmissibility ratio is given by:
TR = Y/Ymax
where Y is the amplitude of the base motion and Ymax is the amplitude of the response.
We can rewrite the equation of motion as:
x'' + 2ζωn x' + ωn^2 x = Yf(t)
where ζ = c/(2mωn) is the damping ratio, ωn = √(k/m) is the natural frequency, and f(t) = (cY/ωn^2) cos(ωbt) + (kY/ωn^2) sin(ωbt) is the forcing function.
The amplitude of the response can be found by solving for the steady-state solution, which is given by:
x(t) = (Y/ωn^2) [(k - mωb^2) sin(ωbt) + cωb cos(ωbt)] / [(k - mωb^2)^2 + c^2ωb^2]
The maximum amplitude of the response occurs when the denominator is minimized, which gives:
Ymax = (Y/ωn^2) / √(1 - (ωb/ωn)^2)^2 + (2ζωb/ωn)^2)
The transmissibility ratio can now be written as:
TR = Y / [(Y/ωn^2) / √(1 - (ωb/ωn)^2)^2 + (2ζωb/ωn)^2)]
TR can be expressed as a function of k:
TR(k) = Y / [(Y/ωn^2) / √(1 - (ωb/ωn)^2)^2 + (2ζωb/ωn)^2 + k/ωn^2]
We can now use the given value of Y and ωb, along with m and c, to determine ωn and ζ:
ωn = √(k/m) = √(k/100)
ζ = c/(2mωn) = 50/(2*100*√(k/100))
We can now substitute these values into the expression for TR(k) to get:
TR(k) = 0.03 / [0.03 / √(1 - 9/4k) + 75/√k + k/300]
To find the largest value of k that makes TR(k) less than 0.75, we can set TR(k) equal to 0.75 and solve for k:
0.75 = 0.03 / [0.03 / √(1 - 9/4k) + 75/√k + k/300]
Multiplying both sides by the denominator and rearranging, we get:
k^2 - 78.98k + 1677.78 = 0
Using the quadratic formula, we get:
k = 69.53 or k = 24.15
Since we want the largest value of k that makes TR(k) less than 0.75, we choose k = 24.15.
Therefore, the largest value of stiffness k that makes the transmissibility ratio less than 0.75 is 24.15 N/m.
Learn more about stiffness here:-
https://brainly.com/question/13095331
#SPJ11
What did you include in your response? check all that apply. the law of conservation of momentum is satisfied. the momentum before the collision is 1.5 kg • . the momentum after the collision is 1.5 kg • . the momentum is the same after the collision as it was before the collision.
After a collision, there is no change in the momentum from the initial situation. This statement satisfies the law of conservation of momentum. Hence, Option D is correct.
What is the law of conservation of Momentum?Momentum is the sum of an object's mass and velocity, and it is a property of all moving objects. This can be expressed mathematically as p=MV, where p stands for momentum. The momentum of an object can fluctuate because its velocity can. When describing the momentum of a system of objects, the Law of Conservation of Momentum is helpful. The Law of Conservation of Momentum, in its most basic form, states that the total momentum of an isolated system stays constant.
Hence, the momentum will be the same after the collision as it was before the collision.
To get more information about law of conservation of Momentum :
https://brainly.com/question/24131537
#SPJ1
Does the image above correctly illustrate how the coriolis effect impacts global winds?
No, the winds are moving in a straight line.
No, the winds are moving in a curved pattern
Yes, the winds are moving in a straight line
Yes, the winds are moving in a curved pattern
Electromagnetic waves are made by vibrating electric charges and can travel through what
Answer:
vibrates, and they carry energy from one place to another. Look at the sound wave and the water wave. vibrating electric charges and can travel through space where matter is not present. to particle, electromagnetic waves travel by transferring energy between vibrating electric and magnetic fields.
PLEASE HELP I AM GIVINF 99 POINTS PLEASE
Answer:
B
Explanation:
Answer:
B
Explanation:
The chart below lists the densities of various gemstones. If a gemstone has a mass of 6.24 g and a volume of 1.98 cm cubed, which gemstone is it
A. Opal
B. Diamond
C. Garnet
D. Topaz
Answer:
C. Garnet
Explanation:
density = mass/volume
density = 6.24g/1.98cm^3
density = 3.15 g/cm^3 (Garnet)
Hope this helps!
Garnets are minerals that can be found as single crystals, pebble-like formations, or masses of intergrown crystals.They are opaque, transparent to translucent minerals. Thus, option C is correct.
What are the physical properties of Garnet?A garnet has a volume of 1.6 cubic centimetres and a density of 3.5 grams per cubic centimetre. The proportion of a mineral's mass to volume is known as density. It is a measurement of how much “stuff” can fit into the space a mineral takes up.
Garnets can be found in a variety of colours, including orange, yellow, green, purple, brown, blue, black, pink, and colorless, but are most usually found in reddish tones.There are very few blue garnets.
Therefore, density = mass/volume density = 6.24g/1.98 cm^3 density = 3.15 g/cm^3 (Garnet).
Learn more about Garnet here:
https://brainly.com/question/28883904
#SPJ2
3 strings are attached to a small metal ring,2 of the strings make an angle of 30° with the vertical and each is pulled with a force of 10 newton what force must be applied to the third string to keep the string stationery
Answer:
Tension force.
Explanation:
Because to exert force from each other.
\( \huge{ \mathrm{question \hookleftarrow}}\)
Calculate equivalent resistance of two resistors R1 and R2 in parallel where,
\( \sf R_ 1 = (6 \pm0.2 )\: \: ohms\)
\( \sf R_ 2 = (3 \pm0.1 )\: \: ohms\)
\(it \: was \: helpful \: to \: you\)
# be careful#
Two runners start at the same point and jog at a constant speed along a straight path. runner a starts at
time t = 0s, and runner b starts at time t = 2.5 s. the runners both reach a distance 64 m from the starting
point at time t = 25 s.
if the runners continue at the same speeds, how far from the starting point will each be at time t = 45 s?
options:
runner a's distance will be 115.2 m, and runner b's distance will be 120.7 m.
o runner a's distance will be 64 m, and runner b's distance will be 71 m.
o runner a's distance will be 115.2 m, and runner b's distance will be 133.65 m.
runner a's distance will be 64 m, and runner b's distance will be 133.65 m
aagasghk sj;mtj,d haeo[gjmaiogjms rmg.s nlk;srmnrt golaehslajkg4wP[LGAE5HK
A) runner a's distance will be 115.2 m, and runner b's distance will be 120.7 m.
What is distance?Distance is a numerical measurement of how far apart two objects or points are from one another. Distance can be measured in a variety of ways including miles, kilometers, feet, and meters.
To solve this problem, we need to use the equation d = rt, where d is the distance, r is the rate, and t is the time. Since both runners are running at a constant speed, we can assume the rate (r) is the same for both.
We can calculate the rate by using the information that both runners were 64 m away from the starting point after 25 s. We can plug this information into the equation to get:
64 m = r * 25 s
Solving for r, we get:
r = 2.56 m/s
Now that we have the rate, we can plug it into the equation to calculate the distances for both runners at time t = 45 s.
For runner a (who started at t = 0s), the distance will be:
d = 2.56 m/s * 45 s
d = 115.2 m
For runner b (who started at t = 2.5 s), the distance will be:
d = 2.56 m/s * 42.5 s
d = 120.7 m
To learn more about distance
https://brainly.com/question/26550516
#SPJ4
how does one adjust fuel and design parameters to efficiently create a small rocket that attains a maximum vertical launch?
To efficiently create a small rocket that attains a maximum vertical launch, design parametres are ; desired altitude,Choose the right fuel, Calculate fuel amount,Optimize the rocket's mass,
1. Determine the desired altitude: Set a target altitude for the rocket's maximum vertical launch. This will help you choose appropriate fuel and design parameters.
2. Choose the right fuel: Research various types of rocket fuels to find the one with the best performance and efficiency for your rocket size. Consider factors such as energy density, specific impulse, and burn rate.
3. Calculate fuel amount: Use the rocket equation and your chosen fuel's specific impulse to determine the required fuel mass to reach the target altitude.
4. Optimize the rocket's mass: Design the rocket's structure to minimize its mass while maintaining strength and stability. Use lightweight materials and consider trade-offs between mass and other design parameters.
5. Design the nozzle: Adjust the nozzle's design parameters, such as throat diameter and expansion ratio, to maximize thrust and optimize the exhaust velocity for your specific fuel and altitude.
6. Optimize the stability: Design the rocket's fins and placement of the center of mass to ensure stability during the vertical launch. Proper stability will help the rocket maintain its desired trajectory.
7. Test and iterate: Perform tests on your rocket to measure its performance and make any necessary adjustments to the fuel and design parameters to improve its efficiency and achieve the maximum vertical launch.
To learn more about design parameters https://brainly.com/question/27872463
#SPJ11
You are looking straight down on a magnetic compass that is lying flat on a table. A wire is stretched horizontally under the table, parallel to and a short distance below the compass needle. The wire is then connected to a battery so that a current I flows through the wire. This current causes the north pole of the compass needle to deflect to the left. The questions that follow ask you to compare the effects of different actions on this initial deflection. If the wire is lowered farther from the compass, how does the new angle of deflection of the north pole of the compass needle compare to its initial deflection? You did not open hints for this part. It is larger. It is smaller. It is unchanged.
The new angle of deflection of the north pole of the compass needle compare to its initial deflection is smaller.
The new angle of deflection north pole becomes smaller
The angle of deflection is the angle formed when an object changes course from its original course of direction or target.
The angle of deflection of a particular particle is directly proportional to its charge to mass ratio as it passed through an electric field.
As the wire is continuously being lowered farther from the compass, the angle of deflection of the north pole continues to become smaller when compared to its initial deflection.
Therefore, the new angle of deflection of the north pole of the compass needle compare to its initial deflection is smaller.
To know more about deflection, refer: https://brainly.com/question/15866267
#SPJ4
A carnival ride accelerates upwards at 2.5 m/s. what is the apparent weight of a 35 kg child on the ride
The apparent weight of the child is 437.5 N.
Calculation:The weight of a person/object moving up with an acceleration "a" is given by
W = m (g + a)
where,
W = apparent weight
m = mass of the person/object
g = acceleration due to gravity = 10 m/s²
a = acceleration of the object/person
Given,
m = 35 kg
a = 2.5 m/s²
To find,
W =?
Put the value sin the formula,
W = m (g + a)
W = 35 (10 + 2.5)
= 35 (12.5)
= 437.5 N
Therefore, the apparent weight of the child is 437.5 N.
Learn more about apparent weight here:
https://brainly.com/question/13554234
#SPJ4
describe two important geologic forces (volcanic activity and glaciers) at work in mt. rainer n. p. how have these forces changed the mountain over time?
Mount Rainier National Park is located in the Cascade Range of Washington state, and two important geologic forces at work in this area are volcanic activity and glaciers.
Volcanic activity has played a major role in shaping the landscape of Mount Rainier National Park. The mountain is a stratovolcano, which means that it is composed of layers of volcanic ash, rock, and lava flows. Over time, eruptions have built up the mountain and created the characteristic cone shape that we see today. Mount Rainier is still an active volcano, with the last eruption occurring in the mid-1800s. Volcanic activity in the area can cause earthquakes, landslides, and other hazards.
Glaciers have also had a significant impact on the landscape of Mount Rainier National Park. The park is home to the largest glacier system in the contiguous United States, with over 25 named glaciers covering the mountain. These glaciers are formed by snowfall that accumulates over time and compacts into ice. As the ice moves down the mountain, it can carve out valleys and create features such as moraines, cirques, and U-shaped valleys. Glaciers also play an important role in shaping the hydrology of the region, as they melt and feed into streams and rivers.
Learn more about geologic here:
https://brainly.com/question/5634603
#SPJ4
Which of the following situations will cause a current to be induced in a conductive loop in a uniform magnetic field B? a. The conductive loop lies in the plane of B. The area of the loop is increased. b. The conductive loop is oriented so that it is perpendicular to B. The area of the loop is decreased. C. The conductive loop lies in the plane of B. The
magnitude of B is increased. d. The conductive loop is oriented so that it is perpendicular to B. The loop is moved parallel to the field lines of B. e. The conductive loop is oriented so that it is perpendicular to B. The loop is moved perpendicular to the field lines of B. mo
In the given options, the situations that will cause a current to be induced in a conductive loop in a uniform magnetic field B are:
b. The conductive loop is oriented so that it is perpendicular to B. The area of the loop is decreased.
d. The conductive loop is oriented so that it is perpendicular to B. The loop is moved parallel to the field lines of B.
e. The conductive loop is oriented so that it is perpendicular to B. The loop is moved perpendicular to the field lines of B.
Explanation:
According to Faraday's law of electromagnetic induction, a changing magnetic field through a conductor induces an electromotive force (EMF) that causes a current to flow in the conductor.
In situation b, when the area of the loop is decreased while maintaining its perpendicular orientation to the magnetic field B, the magnetic flux passing through the loop decreases. This change in magnetic flux induces an EMF and subsequently a current in the loop.
In situation d, when the conductive loop is moved parallel to the field lines of B, the magnetic flux passing through the loop changes. This change in magnetic flux induces an EMF and subsequently a current in the loop.
In situation e, when the conductive loop is moved perpendicular to the field lines of B, the magnetic flux passing through the loop changes. This change in magnetic flux induces an EMF and subsequently a current in the loop.
It's important to note that in situations a and c, although the loop lies in the plane of B and the magnitude of B may change, there is no change in the magnetic flux passing through the loop. Therefore, no current will be induced in the loop in these situations.
To know more about current refer here
https://brainly.com/question/15141911#
#SPJ11
A skydiver is preparing to jump out of a plane that is flying at a height of 2200 m. If the skydiver has a mass of 78 kg, what is her PE?
Answer:
1,681,680 J.
Explanation:
( ´・・)ノ(._.`)
What wavelength of light is reflected from a red shirt
Answer:
Between 590 and 750 nm
Explanation:
When you look at someone's red shirt, for instance, that shirt will be absorbing or scattering wavelengths of light lower than 590 nm, so those waves will not reach your eyes. But a red shirt will be reflecting some wavelength between 590 and 750 nm, which your eyes process as red.
if the the gauge pressure at the bottom of a tank of water is 200,000 pa and the tank is located at sea level, what is the corresponding absolute pressure?
The corresponding absolute pressure would be the sum of the gauge pressure and the atmospheric pressure at sea level. The atmospheric pressure at sea level is approximately 101,325 Pa. Therefore, the absolute pressure at the bottom of the tank would be:
Absolute pressure = 301,325 Pa
The corresponding absolute pressure at the bottom of the tank would be 301,325 Pa. The absolute pressure at the bottom of the tank can be calculated using the formula:
Absolute Pressure = Gauge Pressure + Atmospheric Pressure
Given the gauge pressure is 200,000 Pa, and the atmospheric pressure at sea level is approximately 101,325 Pa, we can find the absolute pressure:Absolute Pressure = 200,000 Pa + 101,325 Pa = 301,325 Pa
To know more about pressure visit :-
https://brainly.com/question/12971272
#SPJ11
The diagram shows a circuit with a 3-cell battery, a light bulb, and four labeled locations. Which statement describes the direction of conventional current in this circuit?
The statement that correctly describes the direction of conventional current in the circuit is : ( C ) current is directed from A to B to C to D
Conventional currentconventioanl current is simply the flow of protons from the positive terminal of the voltage source ( battery ) to the negative terminal of the battery. Also conventional current is the charge transferred in a given direction per unit time. for a conventional current the charge carrier is irrelevant.
Hence we can conclude that the direction of conventional current in the circuit is : current is directed from A to B to C to D.
Learn more about conventional current : https://brainly.com/question/15078212
Attached below is the missing part of the question
What kinds of tissues make up the dermis?
draw a figure of a simple pendulum explain its amplitude and effective length ?
Answer:
Explanation:
A simple pendulum consists of a mass (usually represented as a small object or bob) attached to a string or rod of negligible mass. The mass is free to swing back and forth under the influence of gravity.
In the figure, the point of suspension is denoted by "O," and the mass (bob) is represented by the small circle. The string or rod is represented by the vertical line connecting the point of suspension to the bob.
Amplitude:
The amplitude of a pendulum refers to the maximum displacement or swing of the bob from its equilibrium position. In the figure, the amplitude can be represented by the angle formed between the vertical position and the position of the bob when it swings to its maximum distance on one side. It is usually denoted by the symbol "A."
Effective Length:
The effective length of a pendulum refers to the distance from the point of suspension to the center of mass of the bob. It represents the distance over which the mass swings back and forth. In the figure, the effective length can be measured as the length of the string or rod from the point of suspension to the center of the bob. It is usually denoted by the symbol "L."
It is important to note that the amplitude and effective length of a simple pendulum affect its period of oscillation (the time taken for one complete swing). The relationship between these parameters and the period can be described by mathematical formulas.
Overall, the simple pendulum is a fundamental concept in physics and provides a simplified model for understanding oscillatory motion and the principles of periodic motion.
Elliot jumps up and down on a pogo stick. He weighs 600.N, and his pogo stick has a spring with spring constant 1100N/m. What is the height he will reach when he has gravitational potential energy 250J? m
From conservation of energy, the height he will reach when he has gravitational potential energy 250J is 0.42 meters approximately
The given weight of Elliot is 600 N
From conservation of energy, the total mechanical energy of Elliot must have been converted to elastic potential energy. Then, the elastic potential energy from the spring was later converted to maximum potential energy P.E of Elliot.
P.E = mgh
where mg = Weight = 600
To find the height Elliot will reach, substitute all necessary parameters into the equation above.
250 = 600h
Make h the subject of the formula
h = 250/600
h = 0.4167 meters
Therefore, the height he will reach when he has gravitational potential energy 250J is 0.42 meters approximately
Learn more about energy here: https://brainly.com/question/24116470
Which characteristic is defined as the distance traveled by a wave crest in a given time?
frequency
wavelength
amplitude
speed
Answer:
Amplitude
The amplitude ( ) of a wave is the distance from the centre line (or the still position) to the top of a crest or to the bottom of a trough .
Explanation:
Hope it helps
The distance traveled by a wave crest in a given time is defined as: D. speed.
What is a wave?A wave can be defined as a disturbance in a medium that progressively transport energy from a source to another location, especially without the transportation of matter.
The characteristics of sound wave.Some examples of the characteristics of a wave include the following:
FrequencyWavelengthAmplitudeSpeedIn Science, speed refers to the distance traveled by a wave crest in a given time.
Read more on wave here: https://brainly.com/question/19250621
What does time constant mean in RC?
Answer:
Explanation:
In an RC circuit (a circuit consisting of a resistor and a capacitor), the time constant (τ) is the amount of time it takes for the voltage across the capacitor to reach approximately 63.2% of its final value, after a change in voltage is applied to the circuit.
It is calculated as the product of the resistance (R) and the capacitance (C) in the circuit
(τ = RC).
This time constant is also used to determine the rate at which the capacitor charges or discharges in the circuit
The amount of time needed to charged a capacitor beyond 63.2 percent of its maximum voltage is known also as resistive-capacitive (RC) time constant.
What function does a capacitor serve?A capacitor is a storage of electricity device made up of two components that are isolated from one another and placed near to one another. A straightforward illustration of one such storage media is a complementary capacitor. Both alternating-current and direct-current systems use capacitors.
Why do AC systems utilize capacitors?The initial surge of voltage your air conditioner's components require to function properly is provided by an AC capacitor. It stores electrical and feeds it to ones system's rotors in jolts that are strong enough to start the cooling cycle in your system.
To know more about capacitor visit:
https://brainly.com/question/29301875
#SPJ4
why was the final mass of the food item less than the original mass
The final mass of the food item less than the original mass se of the loss of water.
When cooking, it is not uncommon to notice a difference in mass between the food item before cooking and after cooking. The final mass of the food item is always less than the original mass because of the loss of water. When food is cooked, the heat applied causes the water content in the food to evaporate, causing the food item to shrink in size and weight. The amount of mass lost depends on the water content in the food item and the cooking method used.
When food is boiled, more water content evaporates due to the high temperatures, which can result in a more significant difference in mass. The final mass of the food item may also be affected by the cooking method used. For instance, frying may result in a lower loss of mass compared to boiling. In summary, the final mass of the food item is less than the original mass because of the loss of water through evaporation.
Learn more about evaporation at :
https://brainly.com/question/320765
#SPJ11
The final mass of a food item is typically less than the original mass due to the process of dehydration or water loss that occurs during cooking or other forms of food preparation. This can result in a reduction in the total weight of the food item, even though the actual amount of food present remains the same.
When food is cooked or exposed to heat, the heat causes the moisture present in the food to evaporate, and this leads to a loss of weight. As a result, the final mass of the food item is less than the original mass.
The extent to which the weight is reduced will depend on the method of cooking, the temperature at which the food is cooked, and the length of time it is cooked for. For example, when a piece of chicken is cooked on a grill, it will initially weigh more than the final weight once it is cooked. This is because as the chicken cooks, some of the moisture and fat inside it will be released, and this will evaporate.
Therefore, by the time the chicken is fully cooked, it will have lost some of its original weight due to the loss of moisture and fat. Therefore, the final mass of a food item is often less than the original mass due to the process of dehydration or water loss that occurs during cooking or other forms of food preparation.
To know more about dehydration, refer
https://brainly.com/question/29584811
#SPJ11
What timeis the name of the units that
are normally used to measure
energy? Write out the full name, not
just the abbreviation.
Answer:
Joule is the name of the unit that are normally used to measure energy
Explanation:
A 600 ohm transmission line has load impedance Zl=424.3 explj pi/4) ohms. At the load the voltage is Vi=50 exp(jo) Volts. Find the value of the maximum voltage on the line
The maximum voltage on the line is \(V_m_a_x = 101.5 V\) which can be calculated using the voltage reflection coefficient.
To find the maximum voltage on the line, we need to use the voltage reflection coefficient. This is given by:
ρv = \((Z_L - Z_0) / (Z_L + Z_0)\), where \(Z_0\) is the characteristic impedance of the transmission line.
For a 600-ohm transmission line,
\(Z_0\) = 600 ohms.
Substituting the given values, we get:
ρv = \((424.3 exp(j\pi /4) - 600)\) / \((424.3 exp(j\pi /4) + 600)\)ρv
= \((-175.7 - 348.5j)\)/ \((849.8 exp(j\pi /4))\)ρv = \(-0.2162 exp(-j1.1304)\)
The maximum voltage on the line is given by:
Vmax = Vi / (1 - ρv)
Substituting the given values, we get:
Vmax = \(50 exp(j0) / (1 - (-0.2162 exp(-j1.1304)))\)
Vmax = 101.5 V
Therefore, the maximum voltage on the line is Vmax = 101.5 V.
Learn more about impedance here:
https://brainly.com/question/32389079
#SPJ11
A clock on a moving spacecraft runs 1s slower per day relative to an identical clock on earth. What is the relative speed of the spacecraft?
The craft is moving at a speed of v = 0.024c or around 7 million metres per second or 16 million miles per hour.
The time dilation factor is equal to 3600/3599 if we only want 3599 seconds of the craft's time to pass for every hour (3600 seconds) of Earth time. However, there is a connection as well.
γ = \(\frac{3600}{3599}\) = Dilation factor
Also, γ = 1/ √\(1-v^{2}\)/\(c^{2}\)
which we can solve algebrically to yield,
\(\frac{v}{c}\) = √1-1/γ\(^{2}\)
we get,
\(\frac{v}{c}\) = 0.024
v= 0.024c
Accordingly, the craft is moving at a speed of v = 0.024c, or around 7 million metres per second or 16 million miles per hour.
Learn more about speed of craft here;
https://brainly.com/question/8003060
#SPJ4
How do you increase the amount of electrical energy produced from running water?
Answer:
To increase the volume of moving water, impoundments or dams are used to collect the water. An opening in the dam uses gravity to drop water down a pipe called a penstock. The moving water causes the turbine to spin, which causes magnets inside a generator to rotate and create electricity.
Explanation:
Hope this helped, Have a Great Day!!
Vitalpando Winery wants to raise $30 million from the sale of preferred stock. if the winery wants to sell one million shares of preferred stock, what annual dividend will it have to promise if inverstor demand a return of
a. 11% ?
b. 15%?
c. 8% ?
d. 10%?
e. 6% ?
f. 3% ?
Vitalpando Winery will need to promise an annual dividend of $330,000 if investors demand a return of 11% on their preferred stock. The dividend amounts for the other required return rates are as follows: $450,000 for 15%, $240,000 for 8%, $300,000 for 10%, $180,000 for 6%, and $90,000 for 3%.
To determine the annual dividend required to satisfy the investors' demands for different return rates, we need to multiply the number of shares by the desired return rate. In this case, the winery wants to sell one million shares of preferred stock.
For option (a), where the desired return rate is 11%, the calculation would be: $30,000,000 (total funds required) multiplied by 0.11 (11% expressed as a decimal) divided by 1,000,000 (number of shares). This results in an annual dividend of $330,000.
Similarly, for the other return rates, the calculations are as follows:
(b) $30,000,000 x 0.15 / 1,000,000 = $450,000
(c) $30,000,000 x 0.08 / 1,000,000 = $240,000
(d) $30,000,000 x 0.10 / 1,000,000 = $300,000
(e) $30,000,000 x 0.06 / 1,000,000 = $180,000
(f) $30,000,000 x 0.03 / 1,000,000 = $90,000
Therefore, the annual dividends required to satisfy the investors' demands for the different return rates are as stated above.
Learn more about dividend here:
https://brainly.com/question/30792099
#SPJ11