Ball is 2.04 sec in the air after it will undergoes free fall, Max height 20.14 m and after 0.99 sec the ball 15m above the ground.
What are the equations of motion?First Equation of Motion : v = u + a t.Second Equation of Motion : s = u t + 1/2 a t ²Third Equation of Motion : v ²= u² + 2 a s.The most basic principles of an object's motion are described by kinematics equations of motion. These equations control an object's motion in 1D, 2D, and 3D. They make it simple to compute expressions like an object's position, velocity, or acceleration at different points in time.
At max height, V=0.
So:
v=u+at
0=20–9.8t
9.8t=20
t=2.04 secs…
Ball is 2.04 sec in the air after it will undergoes free fall.
s = ut + ½ at^2
=20* 2.04 - (9.8 * 2.04² / 2)
= 40.8 - 20.39
= 20.41 m
Max height 20.14 m
ball 15m above the ground:
v^2 = u^2 + 2 as.
= 20^2 - 2 * 9.8 * 15
= 400- 294
=106
v = \(\sqrt{106}\) =10.3 m/s
v=u+at
10.3 = 20 -9.8 * t
t = (20 -10.3) /9.8 = 0.99 sec
at 0.99 sec the ball 15m above the ground.
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True or false, Electrons are part of the nucleus of an atom.
Answer:
False
Explanation:
As seen in the diagram, electrons are rotating around the nucleus and are, therefore, not part of the nucleus.
What is a preventive measure to avoid risks while working with power lines?
Answer:
4 Wear personal protective equipment (PPE).
Depending on the job task performed, PPE when working near power lines includes safety glasses, face shields, hard hats, insulated boots, rubber gloves with leather protectors, insulating sleeves, and flame-resistant clothing to reduce the risk of electrocution.
Velocity of runoff of 40m/hr transports 729kgs of soil loss load. Calculate the soil loss load if runoff velocity decreased to 20km/hr
The soil loss load would be reduced to 14,580 kgs if the runoff velocity decreased to 20km/hr.
What is velocity?Velocity is a vector quantity that describes the rate and direction of an object’s motion. It is a combination of speed and direction. Velocity is measured in units such as meters per second, feet per second, or miles per hour. Velocity can be constant, meaning it does not change, or it can be variable, meaning its magnitude or direction can change.
Soil loss load = Velocity x Weight
Soil loss load = 40m/hr x 729 kgs
Soil loss load = 29,160 kgs
If the runoff velocity decreased to 20km/hr, the soil loss load would be
Soil loss load = 20km/hr x 729 kgs
Soil loss load = 14,580 kgs
Therefore, the soil loss load would be reduced to half (14,580 kgs) if the runoff velocity decreased to 20km/hr.
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The following problem refers to triangle ABC, find all missing parts. Round degrees to 1 decimal places and
sides to the nearest whole number.
A = 36.5°C = 67.5°, c = 224 inches
A=
В.
C
O
O
490 do
a =
inches
inches
inches
C-
Answer:
A =41 .....
......
......
....C=21
How many grains are on the surface of the head of a pin? assume that the head of a pin is spherical with a 1-mm diameter and has an astm grain size of 10
Answer:
Given, diameter of pin head d = 1 mm = 1/25.4 = 0.0394 in Surface area of a pinhead, A = 4pr^2 =
Explanation:
eesh
features of a dry leclanche cell
Answer:
Primary cell with a nominal open circuit voltage of 1.5 Volts produced in very high volumes. Chemistry based on a zinc anode and a cathode/depolariser of manganese dioxide which absorbs the liberated hydrogen bubbles which would otherwise insulate the electrode from the electrolyte.
Answer:
Explanation:
(1) The electrolyte is a paste of ammonium chloride.
(2) The positive terminal (anode) is a carbon rod surrounded bymangAnese Dioxide as a depolarised .
(3) The negative terminal is zinc container.
Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. Ex = 6 − 5x, (0, 1) The equation ex = 6 − 5x is equivalent to the equation f(x) = ex − 6 + 5x = 0. F(x) is continuous on the interval [0
Answer:
some part of your question is incomplete
attached below is the complete question
Answer :
F(0) = -5 < 0
F(1) = e - 1 > 0
since the functions : f(0) and f(1) have opposite signs then there is a 'c' whereby F(c) = 0 ( intermediate value theorem fulfilled )
Hence there is a root in the given equation : \(e^x = 6 - 5x\)
Explanation:
using Intermediate value Theorem
If F(x) is continuous and f(a) and f(b) have opposite signs then there will be a'c'E (a,b) whereby F(c) = 0
given equation : \(e^x = 6 - 5x\) on (0,1)
and F(x) = \(e^x - 6 + 5x = 0\)
This shows that the F(x) is continuous on (0,1)
F(0) = \(e^0 - 6 + 5(0)\) = -5 which is < 0
F(1) = \(e^1 -6 + 5(1)\) = e -1 > 0 and e = 2.7182
since the functions : f(0) and f(1) have opposite signs then there is a 'c' whereby F(c) = 0 ( intermediate value theorem fulfilled )
Hence there is a root in the given equation : \(e^x = 6 - 5x\)
Describe the first case where the power of synthesis was used to solve design problems.
The first case where the power of synthesis was applied was in Chile when they had to put 100 families in houses around 40m².
It should be noted that the power of architecture is the fact that it can synthesize a complex entry to a problem.
Chilean architect Alejandro used this in building more than several houses for the poorest communities in Chile. His rigorous and innovative design approach used a social framework that laid a precedent within the profession.
During this period in Chile, a normal middle-class home was about 80m² but he built his in 40m² and it was a good home that managed the resources that were available.
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When diagnosing a vehicle, when does the customer concern need to be verified before making repairs to the vehicle?
With a professional, do an automotive diagnostic
Verification and confirmation in
Step 1. This step in the vehicle diagnostic process enables the expert to look for potential issues.
Step 2: Identify the issue.
Step 3: Area isolation.
4. Make repairs.
The final step is a check.
Diagonosis: What is it?the procedure of determining a diagnosis, disease, or injury based on its indications and symptoms. To aid in the diagnosis, testing like blood tests, imaging tests, and biopsies may be done in addition to a physical examination and health history.
Using a computer scan tool, the repairman will obtain the diagnostic issue code data from the computer. A fully qualified technician can more correctly identify and address the issue by using this information.
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Using a computer scan tool, the repair technician will retrieve the diagnostic trouble code information from the computer. A properly trained technician can use this information to more accurately locate and repair the problem.
What is the vehicle diagnosis process ?As part of the standard operating procedure, many experts recommend that shops perform a pre-scan of all vehicle computer modules, as well as a scan after the vehicle is repaired (SOP). This is not only good business practice, but it also helps to communicate with the customer about potential vehicle flaws that may not have been part of the customer's original concern.
Pre-scan: This entails gaining access to all vehicle modules and downloading any or all stored Diagnostic Trouble Codes (DTCs), including pending codes. Any DTCs that have been stored will be recorded on the work order, and if they are related to a customer, it may be necessary to notify the customer and obtain approval before proceeding with the repair.
Post Scan: After the vehicle has been repaired and before it is released to the customer, a full module scan is performed to ensure that another DTC was not set during the repair in addition to the repair. procedure for repair The results of this follow-up scan should also be documented on the repair order so that they can be added to the driving history.
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QUESTION 2 (15 Marks) (1) State three differences between the Field Effect Transistor (FET) and the Bipolar Junction Transistor (BJT). [3 marks] (ii) Draw the physical structure and device symbol for an n-channel JFET. [2 marks] (iii) What is meant by drain characteristics [2 marks] (b) Determine the drain current of an n-channel JFET having pinch-off voltage VP = -4 and drain-source saturation current IDSS-12mA at the following gate-source voltages (1) VGS-OV (ii) VGS=-2V 14 marks] (c) Calculate the transconductance, gm of a JFET having specified values of IDSS-12mA and VP-4V at bias points (1) VGS-OV and (ii) VGS -1.5V. (4 marks] QUESTION 3 (15 Marks) (a) (i) Mention four JFET parameters and explain any two [5 marks] (ii) Distinguish between depletion and enhancement MOSFET [2 marks] (b) For an n-channel enhancement MOSFET with threshold voltage of 2.5V, determine the current at values of gate-source voltage (1) VGS 4V and (ii) VGS-6V [k-0.3mA/V2] [4 marks] (e) Determine the values of transconductance for an n-channel enhancement MOSFET having threshold voltage VT-3V at the following operating points (i) 6V and (ii) 8V 14 marks] Examiner: Dr. Samuel Afoakwa/Ing. Sammy Obeng Addae/Mr. Nana Boamah
The paragraph related to transistor technologies covers questions about the differences between FET and BJT, the physical structure of an n-channel JFET, drain characteristics, JFET parameters, and the comparison between depletion and enhancement MOSFETs.
What are the main topics covered in the paragraph related to transistor technologies?This paragraph contains two separate questions related to transistor technologies, specifically Field Effect Transistors (FET) and Bipolar Junction Transistors (BJT).
In Question 2, the first part asks for three differences between FET and BJT, which could include variations in construction, operation principles, or characteristics. The second part requests a drawing of the physical structure and device symbol for an n-channel Junction Field Effect Transistor (JFET). Lastly, it inquires about the meaning of drain characteristics in relation to JFET.
Question 3 begins with the mention of four JFET parameters and requires an explanation of any two of them. The second part asks for a comparison between depletion and enhancement Metal-Oxide-Semiconductor Field Effect Transistors (MOSFET).
The third part requests the determination of current at different gate-source voltage values for an n-channel enhancement MOSFET with a given threshold voltage.The paragraph concludes by mentioning the examiners responsible for the questions.
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Calculate the steady state flux of atomic hydrogen at 25°C through a steel vessel of wall thickness 4 mm given that the inside surface is kept saturated with hydrogen at a concentration of 4.5 moles/m3, the outside surface is exposed to the atmosphere. (The diffusivity of hydrogen in steel D0 = 0.1 mm2 s-1, Q = 13.5 kJ mol-1) A steady-state flux allows the application of Fick’s first law: J = -D(dC/dx)
If the vessel contains 20 moles of hydrogen, calculate the time taken to dissipate all of the hydrogen of that the vessel has a surface area of 3 m2.
Answer:
To calculate the steady state flux of atomic hydrogen through a steel vessel, we need to use Fick's first law, which states that the flux (J) is equal to the diffusivity (D) multiplied by the concentration gradient (dC/dx).
First, we need to calculate the concentration gradient by dividing the difference in hydrogen concentration between the inside and outside surfaces by the wall thickness of the vessel. The inside surface is kept saturated with hydrogen at a concentration of 4.5 moles/m3, and the outside surface is exposed to the atmosphere, which has a hydrogen concentration of 0 moles/m3. Therefore, the concentration gradient is (4.5 - 0) moles/m3 / (4 mm) = 1.125 moles/m3 mm.
Next, we need to substitute this value into Fick's first law along with the diffusivity of hydrogen in steel, which is given as 0.1 mm2/s. This gives us the steady state flux as J = (-0.1 mm2/s) * (1.125 moles/m3 mm) = -0.01125 moles/s mm2.
Finally, we need to convert the units of the flux from moles/s mm2 to moles/s m2. To do this, we can multiply the flux by 1,000 to convert the units of millimeters to meters, giving us a final steady state flux of -0.01125 moles/s mm2 * 1,000 = -1.125 moles/s m2.
IF THE VESSEL CONTAINS 20 MOLES OF HYDROGEN, CALCULATE THE TIME TAKEN TO DISSIPATE ALL OF THE HYDROGEN OF THAT THE VESSEL HAS A SURFACE AREA OF 3 M2.
To solve this problem, we need to first calculate the flux of atomic hydrogen through the vessel using Fick's first law:
J = -D(dC/dx)
where J is the flux, D is the diffusivity of hydrogen in steel, and dC/dx is the concentration gradient.
Given that the diffusivity of hydrogen in steel is 0.1 mm2/s, the inside concentration is 4.5 moles/m3, and the outside concentration is 0, the concentration gradient is 4.5 moles/m3.
Plugging these values into the equation above, we get:
J = -0.1 mm2/s * 4.5 moles/m3 = -0.45 moles/s-m2
Next, we need to calculate the time it takes to dissipate all 20 moles of hydrogen from the vessel. We can do this by dividing the total number of moles of hydrogen by the flux:
t = 20 moles / (-0.45 moles/s-m2) = 44.44 s
So it would take approximately 44.44 seconds to dissipate all of the hydrogen from the vessel.
Explanation:
SELF EXPLANATORY
The time taken is 44.44 seconds to dissipate all of the hydrogens from the vessel.
How to calculate the time?To solve this problem, we need to first calculate the flux of atomic hydrogen through the vessel using Fick's first law:
J = -D(dC/dx)
where J is the flux, D is the diffusivity of hydrogen in steel, and dC/dx is the concentration gradient.
Given that the diffusivity of hydrogen in steel is 0.1 mm²/s, the inside concentration is 4.5 moles/m³ and the outside concentration is 0, the concentration gradient is 4.5 moles/m³.
Plugging these values into the equation above, we get:
J = -0.1 mm²/s * 4.5 moles/m³ = -0.45 moles/s-m²
Next, we need to calculate the time it takes to dissipate all 20 moles of hydrogen from the vessel. We can do this by dividing the total number of moles of hydrogen by the flux:
t = 20 moles / (-0.45 moles/s-m2) = 44.44 s
So it would take approximately 44.44 seconds to dissipate all of the hydrogen from the vessel.
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Problem 2. 2 .The particle P moves along the curved slot, a portion of which is shown. Its distance in meters measured along the slot is given by s = t^2/ where t is in seconds. The particle is at A when t = 2.00s and at B when t = 2.20s. Determine the magnitude a_avg of the average acceleration of P between A and B. Also express the acceleration as a vector a_avg using unit vectors i and j.
Magnitude of average acceleration \(a_{avg}\)=2.75 units
Average acceleration \(a_{avg}=\) \(2.265 i- 1.58j\)
We're given that \(s=\frac{t^2}{4}\)
And partice is at A at t=2 s and at B at t= 2.2s
Instantaneous velocity \(\frac{ds}{dt} =\frac{t}{2}\)
Velocity at A (\(V_{a}\)) at 2s = \(\frac{t}{2}\) or \(\frac{t}{2}Cos \frac{\pi}{3} i+ \frac{t}{2}Sin \frac{\pi}{3}j=\frac{i+\sqrt{3} j}{2}\)
Velocity at B (\(V_{b}\)) at 2.2s =\(\frac{t}{2}\) or \(\frac{t}{2}Cos \frac{\pi}{6} i+ \frac{t}{2}Sin \frac{\pi}{6}j=\frac{\sqrt{3}i+j }{2}\)
Average acceleration = \(\frac{V_{b}-V{a}}{t}\) =\(2.265 i- 1.58j\)
magnitude = \(\sqrt{(2.265)^2- (1.58)^2}\) = \(2.75\)
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Why are people who are realistic more likely to become engineers than architects?
O Realistic people favor concrete methods for solving problems.
Realistic people prefer working with people rather than things.
Realistic people prefer to mull things over.
Realistic people give a high value to innovation.
I will agree with option 1 that says Realistic people favour concrete methods for solving problems.
What you should know about EngineersIn real sense, there is no evidence to suggest that realistic people are more likely to become engineers than architects but base on certain characteristics we can just make a logical assumption.
Some of these characteristics are:
problem-solving skills, preference for concrete methods, valuing innovationInteresting part is that these characteristics are of equal beneficial in both fields of Engineering and Architect.
The personality trait of "realistic" is not directly linked to a preference for working with people over things. It is possible for someone who is realistic to enjoy working with both people and things, or to prefer working with things over people.
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Which of the following background-attachment properties is similar to scroll, but is used for elements, such as scroll boxes, to allow the element background to scroll along with the content within a box? a) fixed b) local c) round d) space
The background-attachment property that is similar to scroll, but is used for elements, such as scroll boxes, to allow the element background to scroll along with the content within a box is 'local.'
The background-attachment property sets whether a background image is fixed or scrolls along with the containing element's text. The background-attachment property sets how the background image will be positioned in the viewport.The background-attachment property has four values, which are:scroll: The image will move as the user scrolls the element, and it will scroll along with the textfixed: The image will not move when the user scrolls the element; instead, it will remain fixed in place, just like a background image in a picture frame. The fixed value fixes the image in a specific location of the page, regardless of the scrolling of the rest of the page.
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Design a regulated power supply using a bridge rectifier, capacitors, and Zener diode (no Integrated Circuit). The source voltage is 110±10 Vrms, 60 Hz frequency. The output voltage is as follows (±5%) : Type 1: 6 V
Design a regulated power supply using a bridge rectifier, capacitors, and Zener diode (no Integrated Circuit). The source voltage is 110±10 Vrms, 60 Hz frequency. The output voltage is 6 V. The rating of the adapter will be 1 W and 5% regulation
The power supply can be designed using a bridge rectifier, capacitors, and Zener diode.
Here is the design of a regulated power supply:
Type 1: 6V
Given Source Voltage= 110±10 Vrms
= 110 + 10
= 120V (Maximum)
Given Output Voltage = 6V ± 5%
= 6V ± 0.3V
Minimum Output Voltage = 5.7V
Maximum Output Voltage = 6.3V
So, taking the maximum voltage into account, the output voltage is 6.3V.
Let's find out the value of the Capacitors and Zener diode
Resistor value for the Zener diode:
For 6.3V, we can take a 5.1V zener diode.
A 1W zener diode can take maximum power = 1W.
If R is the load resistance, V is the input voltage and Vz is the zener voltage, then the resistor R required is given by:
\(R = \frac{{({V_s} - {V_z})^2}}{P}\)
Where
P = 1W, Vs = 120V, Vz = 5.1V
\(R = \frac{{(120 - 5.1)^2}}{1}\)
= 14,141\Omega
So, a 14k resistor will be used.
Capacitor value for rectification:
Now, we need to find the value of the capacitor for rectification.
Average DC Voltage = (Vmax-Vmin)/piFor full-wave rectifier, the average voltage is given by:
\(V_{avg} = \frac{{{V_s}}}{\pi }\)
For given source voltage,
Vavg = 38V
I = \(\frac{{P}}{{{V_s}}}\)
= \(\frac{1}{{120}}\)
= 0.008A
Where, P = 1W, Vs = 120V
Current through the diode = 0.008A.
Capacitance required is given by:
\(C = \frac{I \times T}{V_{ripple}}\)
Where T = 1/f = 1/60 = 0.0167s (time period) and Vripple = 1.4V.
1.4V ripple is taken for full-wave rectification.
\(C = \frac{0.008 \times 0.0167}{1.4}\)
= 0.000095
F = 95µF
Therefore, a 14k resistor, 95µF capacitor, and 5.1V zener diode are used in the design of the power supply.
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which of these is not an example of an electronically-controlled suspension system?
A.levelling
B.electro-energized
C.active
D.Magneto rheological
B. Electro-energized is not an example of an electronically-controlled suspension system.
What is Electro-energizedElectro-energized is not a common term used to describe suspension systems, and it is not clear what it refers to in the context of suspension systems.
The other options, levelling, active, and magneto-rheological, are all examples of electronically-controlled suspension systems:
Levelling suspension systems use sensors to detect the ride height of the vehicle and adjust the suspension to maintain a consistent height.
Active suspension systems use sensors and electronic control systems to adjust the suspension in real-time to provide a smoother ride and better handling.
Magneto-rheological suspension systems use magnetically controlled fluid to adjust the damping rate of the suspension, providing a more responsive and customizable ride.
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An ideal vapor-compression refrigeration cycle, with Ammonia as the working fluid, is modified to include a counterflow heat exchanger (sometimes called a suction line heat exchanger). The working fluid leaves the evaporator as a saturated vapor at 1.5 bar and is heated at a constant pressure to 10C before entering the compressor. The compressor is isentropic and compresses to 20 bar then the fluid enters the condenser where it is cooled at a constant pressure to 49C, 20bar. The liquid then passes through the heat exchanger, entering the expansion valve at 20 bar. If the mass flow rate of refrigerant is 10 kg/min, find:
An ideal vapor-compression refrigeration cycle that uses Ammonia as the working fluid is modified to include a counterflow heat exchanger, also known as a suction line heat exchanger.
Here, the refrigerant exits the evaporator as a saturated vapor at 1.5 bars and is heated at a constant pressure to 10°C before entering the compressor, which is isentropic and compresses the refrigerant to 20 bars. The refrigerant enters the condenser, where it is cooled at a constant pressure to 49°C, 20 bars. Finally, the refrigerant liquid flows through the heat exchanger, and the mass flow rate of refrigerant is 10 kg/min.The degree of subcooling is the distinction between the refrigerant's actual temperature and its saturation temperature at the pressure of the valve.
In the present case, the pressure of the valve is 20 bars, which is also the pressure of the refrigerant as it enters the valve. Since the refrigerant is a liquid as it passes through the heat exchanger and there is no indication of any pressure loss or superheating, it must still be a liquid as it enters the expansion valve. The saturation temperature of ammonia at 20 bars can be found using tables, which is 33.34°C. As a result, the refrigerant has a subcooling degree of 33.34 - 20 = 13.34°C. Therefore, the subcooling degree of the refrigerant at the expansion valve is 13.34°C.
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The number of bits on a transmission line that are in the process of actively being transmitted (i.e.,the number of bits that have been transmitted but have not yet been received) is referred to as the bit length of the line. Plot the line distance versus the transmission speed for a bit length of 1000 bits.Assume a propagation velocity of 2 X 108 m/s.
Answer:
The plotted diagram of line distance versus the transmission speed is uploaded below.
Explanation:
Given the data in the question;
Bit length B = 1000 bits
propagation velocity V = 2 × 10⁸ m/s
now, we know that the bit length of a link is expressed as;
B = R × d/V
where V is propagation velocity
d is the distance
R is the transmission speed
B is bit length
so we substitute
1000 = R × d/(2 × 10⁸)
1000 = Rd/(2 × 10⁸)
2 × 10¹¹ = Rd
R = 2 × 10¹¹ / d
R = 2E+11
Hence, we plot the transmission speed versus line distance; as shown in the image BELOW.
From the plot, if the transmission speed increases, the distances between stations decreases and vise versa.
Hence, both are inversely proportional.
The graph plot of line distance versus the transmission speed for a bit length of 1000 bits is; plotted below with Lν = 2 × 10¹¹ m/s
What is the number of bits on a transmission line?
We are given;
Bit length; B = 1000 bits
Propagation velocity; V = 2 × 10⁸ m/s
Formula for bit length of a link is expressed as;
B = ν × L/V
where;
V is propagation velocity
L is the distance
ν is the transmission speed
B is bit length
Thus, plugging in the relevant values gives;
1000 = ν × L/(2 × 10⁸)
Thus;
Lν = 1000 × 2 × 10⁸
Lν = 2 × 10¹¹ m/s
Thus, find the attached image of a graph showing the line distance versus the transmission speed for a bit length of 1000 bits.
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A steam power plant operates on the reheat Rankine cycle. Steam enters the highpressure turbine at 12.5 MPa and 550°C at a rate of 7.7 kg/s and leaves at 2 MPa. Steam is then reheated at constant pressure to 450 °C before it expands in the low-pressure turbine. The isentropic efficiencies of the turbine and the pump are 85 percent and 90 percent, respectively. Steam leaves the condenser as a saturated liquid. If the moisture content of the steam at the exit of the turbine is not to exceed 5 percent, determine (a) the condenser pressure, (b) the net power output, and (c) the thermal efficiency
Answer:
A) condenser pressure = 9.73 kPa,
B) 10242 kw
C) 36.9%
Explanation:
given data
entrance pressure of steam = 12.5 MPa
temperature of steam = 550⁰c
flow rate of steam = 7.7 kg/s
outer pressure = 2 MPa
reheated steam temperature = 450⁰c
isentropic efficiency of turbine( nt ) = 85% = 0.85
isentropic efficiency of pump = 90% = 0.90
From steam tables
at 12.5 MPa and 550⁰c ; h3 = 3476.5 kJ/kg, S3 = 6.6317 kJ/kgK
also for an Isentropic expansion
S4s = S3 .
therefore when S4s = 6.6317 kJ/kg and P4 = 2 MPa
h4s = 2948.1 kJ/kg
nt = 0.85
nt (0.85) = \(\frac{h3-h4}{h3-h4s}\) = \(\frac{3476.5 - h4}{3476.5 - 2948.1}\)
making h4 subject of the equation
h4 = 3476.5 - 0.85 (3476.5 - 2948.1)
h4 = 3027.3 kj/kg
at P5 = 2 MPa and T5 = 450⁰c
h5 = 3358.2 kj/kg, s5 = 7.2815 kj/kgk
at P6 , x6 = 0.95 and s5 = s6
using nt = 0.85 we can calculate for h6 and h6s
from the chart attached below we can see that
p6 = 9.73 kPa, h6 = 2463.3 kj/kg
B) the net power output
solution is attached below
c) thermal efficiency
thermal efficiency = 1 - \(\frac{qout}{qin}\) = 1 - ( 2273.7/ 3603.8) = 36.9% ≈ 37%
The coefficient of static friction for both wedge surfaces is μw=0.4 and that between the 27-kg concrete block and the β=20° incline is μg=0.7.
If the wedge has an angle of 5° determine the minimum value of the force P2, parallel to the fixed surface on the left, required to begin moving the block up the incline.
Assuming the wedge has an angle of 5°.The minimum value of the force P that is required to begin moving the block up the incline is: 322.84 N.
Minimum value of force PFirst step
Using this formula to find the weight of the block
W=mg
W=27×9.81
W=264.87 N
Second step
Angles of friction ∅A and ∅B
∅A=tan^-1(μA)
∅A=tan^-1(0.70)
∅A=34.99°
∅B=tan^-1(μB)
∅B=tan^-1(0.40)
∅B=21.80°
Third step
Equate the sum of forces in m-direction to 0 in order to find the reaction force at B.
∑fm=0
W sin (∅A+20°) + RB cos (∅B+∅A)=0
264.87 sin(34.99°+20°) + RB cos (21.80°+34.99°)=0
216.94+0.5477Rb=0
RB=216.94/0.5477
RB=396.09 N
Fourth step
Equate the sum of forces in x-direction to 0 in order to find force Rc.
∑fx=0
RB cos (∅B) - RC cos (∅B+ 5°)=0
396.09 cos(21.80°) - RC cos (21.80°+5°)=0
RC=396.09 cos(21.80°)/cos(26.80°)
RC=412.02 N
Last step
Equate the sum of forces in y-direction to 0 in order to find force P required to move the block up the incline.
∑fy=0
RB sin (∅B) + RC sin (∅B)-P=0
P=Rb sin (∅B) + RC sin (5°+∅B)
P=396.09 sin(21.80°) +412.02sin (5°+21.80°)
P=322.84 N
Inconclusion the minimum value of the force P that is required to begin moving the block up the incline is: 322.84 N.
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In a balanced transportation model, supply equals demand such that all constraints can be treated as equalities.Is the statement true or false?
False. In a balanced transportation model, supply may not always equal demand, and constraints cannot be treated as equalities.
The model aims to minimize transportation costs while meeting supply and demand requirements. It involves assigning quantities of goods from supply sources to demand destinations, considering constraints such as capacity limits and availability. Inequality constraints arise due to variations in supply and demand quantities. The model may use linear programming techniques to optimize the transportation plan, ensuring that constraints are satisfied while minimizing costs. Therefore, supply does not necessarily equal demand, and constraints are not treated as equalities in a balanced transportation model.
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A rocket is shot straight up from the earth with a net acceleration (= acceleration by the rocket engine - gravitational pullback) of 7m/sec during the initial stage of flight until the engine cut out at t = 10 sec. How high will it go, air resistance neglected?
Answer:
599.7 m
approximately 600 m
Explanation:
initial speed of the rocket = 0
net acceleration upwards = 7 m/s^2
the engine cuts out 10 sec after take off
maximum height reached = ?
we neglect air resistance
To get the velocity of the rocket at the point where the engine cuts off, we use the equation
v = u + at
where
v is the velocity at this point where the engine stops = ?
u is the initial velocity of the rocket from rest = 0 m/s
a is the net acceleration upwards = 7 m/s^2
t is the time the engine runs = 10 s
substituting, we have
v = 0 + (7 x 10)
v = 70 m/s
to get the distance from the ground to this point, we use the equation
\(v^{2}\) = \(u^{2}\) + 2as
where
v is the final velocity at the the height where the engine is cut out = 70 m/s
u is the initial speed at the ground = 0 m/s
a is the net acceleration on the rocket = 7 m/s^2
s is the distance from the ground to this point
substituting, we have
\(70^{2}\) = \(0^{2}\) + 2(7 x s)
4900 = 14s
s = 4900/14 = 350 m
After this point when the engine cuts out, the rocket experiences an acceleration proportional to the acceleration due to gravity 9.81 m/s^2 downwards, and slows down gradually before coming to a stop at the maximum height.
To get this height, we use the equation
\(v^{2}\) = \(u^{2}\) - 2gs (the negative sign is due to the downward direction of the acceleration g)
where
v is the final velocity at the maximum height = 0 m/s (it comes to a stop)
u is the speed at the instance that the engine is cut out = 70 m/s
g is the acceleration due to gravity = 9.81 m/s^2
s is the distance from this point to the maximum height
substituting values, we have
\(0^{2}\) = \(70^{2}\) - 2(9.81 x s)
0 = 4900 - 19.62s
4900 = 19.62s
s = 4900/19.62 = 249.7 m
The maximum height that will be reached = 350 m + 249.7 m = 599.7 m
approximately 600 m
10 tasks and 5 exercises. How many ways are there to build the test?
To find how many ways, you must simply multiply 10 tasks and 5 exercises
Ways: = 10 * 5 = 50 ways
Hope that helps!
A cyclist is turning the pedals of his bicycle at a speed of 60RPM while exerting a torque of 1 lb-ft. The input sprocket has 40 teeth. What is the number of teeth on the output sprocket, if the driven wheel is rotating at 240 RPM?
Answer:
10
Explanation:
The speed of the chain is the same for both sprockets.
vᵢ = vₒ
ωᵢ rᵢ = ωₒ rₒ
The sprockets have the same pitch, so the radius is proportional to the number of teeth. So we can say:
ωᵢ nᵢ = ωₒ nₒ
Plugging in values:
(60 rpm) (40) = (240 rpm) nₒ
nₒ = 10
The output sprocket has 10 teeth. This makes sense, if the output sprocket is 4 times smaller, it will turn 4 times faster than the input sprocket.
Answer: it is 10 teeth and the guy under me already explained soo
Explanation:
What do we need to build a car?
Cho biết tác dụng chung của các hệ giằng khung ngang nhà công nghiệp nhẹ 1 tầng 1 nhịp.
1. Use the charges to create an electric dipole with a horizontal axis by placing a positive and a negative charge (equal in magnitude but opposite in sign) 4 meters away from each other. (Axis of a dipole is a line passing through both charges.) Place positive charge on the left and negative on the right.
2. Describe the field at the following locations, and explain these results using the superposition principle:
on the horizontal axis to the right of the dipole;
on the horizontal axis between charges;
on the horizontal axis to the left of the charges;
on the vertical line bisecting the line segment connecting the charges, above the dipole;
on the vertical line bisecting the line segment connecting the charges, below the dipole;
is there a location where the electric field is exactly zero?
Remove the negative charge and replace it with equal in magnitude positive charge.
3. Observe the change in electric field, and again describe the field at the following locations, explaining these results using the superposition principle:
on the horizontal axis to the right of the charges;
on the horizontal axis between charges;
on the horizontal axis to the left of the charges;
on the vertical line bisecting the line segment connecting the charges, above the charges;
on the vertical line bisecting the line segment connecting the charges, below the charges;
is there a location where the electric field is exactly zero?
Answer:
2)
a) to the right of the dipole E_total = kq [1 / (r + a)² - 1 / r²]
b)To the left of the dipole E_total = - k q [1 / r² - 1 / (r + a)²]
c) at a point between the dipole, that is -a <x <a
E_total = kq [1 / x² + 1 / (2a-x)²]
d) on the vertical line at the midpoint of the dipole (x = 0)
E_toal = 2 kq 1 / (a + y)² cos θ
Explanation:
2) they ask us for the electric field in different positions between the dipole and a point of interest. Using the principle of superposition.
This principle states that we can analyze the field created by each charge separately and add its value and this will be the field at that point
Let's analyze each point separately.
The test charge is a positive charge and in the reference frame it is at the midpoint between the two charges.
a) to the right of the dipole
The electric charge creates an outgoing field, to the right, but as it is further away the field is of less intensity
E₊ = k q / (r + a)²
where 2a is the distance between the charges of the dipole and the field is to the right
the negative charge creates an incoming field of magnitude
E₋ = -k q / r²
The field is to the left
therefore the total field is the sum of these two fields
E_total = E₊ + E₋
E_total = kq [1 / (r + a)² - 1 / r²]
we can see that the field to the right of the dipole is incoming and of magnitude more similar to the field of the negative charge as the distance increases.
b) To the left of the dipole
The result is similar to the previous one by the opposite sign, since the closest charge is the positive one
E₊ is to the left and E₋ is to the right
E_total = - k q [1 / r² - 1 / (r + a)²]
We see that this field is also directed to the left
c) at a point between the dipole, that is -a <x <a
In this case the E₊ field points to the right and the E₋ field points to the right
E₊ = k q 1 / x²
E₋ = k q 1 / (2a-x)²
E_total = kq [1 / x² + 1 / (2a-x)²]
in this case the field points to the right
d) on the vertical line at the midpoint of the dipole (x = 0)
In this case the E₊ field points in the direction of the positive charge and the test charge
in E₋ field the ni is between the test charge and the negative charge,
the resultant of a horizontal field in zirconium on the x axis (where the negative charge is)
E₊ = kq 1 / (a + y) 2
E₋ = kp 1 / (a + y) 2
E_total = E₊ₓ + E_{-x}
E_toal = 2 kq 1 / (a + y)² cos θ
e) same as the previous part, but on the negative side
E_toal = 2 kq 1 / (a + y)² cos θ
When analyzing the previous answer there is no point where the field is zero
The different configurations are outlined in the attached
3) We are asked to repeat part 2 changing the negative charge for a positive one, so in this case the two charges are positive
a) to the right
in this case the two field goes to the right
E_total = kq [1 / (r + a)² + 1 / r²]
b) to the left
E_total = - kq [1 / (r + a)² + 1 / r²]
c) between the two charges
E₊ goes to the right
E₋ goes to the left
E_total = kq [1 / x² - 1 / (2a-x)²]
d) between vertical line at x = 0
E₊ salient between test charge and positive charge
E_total = 2 kq 1 / (a + y)² sin θ
In this configuration at the point between the two charges the field is zero
what is the purpose of the plastic or rubber insulation around the wire?
Ball valves allow or prevent flow with a one-quarter turn of their handles in much the same way as _______ valves
Answer: quarter turn
Explanation: There are two basic types of valves ball valves and quarter turn valves or unblocks the hole, either allowing or preventing fluid flow.
4.6. What is the maximum peak output voltage and current if the supply voltages are changed to +15 V and -15 V.
The maximum peak output voltage and current if the supply voltages are changed to +15 V and --1V will be 15V and 0.1A.
How to calculate the current?From the information given, the supply voltages are +15V and -15V. The maximum peak output voltage will be 15V.
The maximum peak current will be:
= 15/150
= 0.1A
In conclusion, the maximum peak output voltage and current will be 15V and 0.1A.
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