Let A[1..n] be an array of n positive integers. For any 1 ≤i ≤j ≤n, define
Describe an algorithm that on input A[1..n] and a number K, determines whether there exists a pair (i, j) such that f (i, j) = K. Your algorithm should run in time o(n2). (Note that this is little "o".)
Answers
The concise algorithm determines if there is a pair (i, j) in the array A such that A[i] + A[j] equals K. It achieves O(n) time complexity by utilizing a hash set to track visited elements and checking for the required difference.
Here's an algorithm that runs in O(n) time complexity to determine whether there exists a pair (i, j) in the array A[1..n] such that f(i, j) = K, where f(i, j) is defined as A[i] + A[j].
1. Create an empty hash set called "visitedSet".
2. Iterate through each element A[i] in the array A[1..n] from left to right.
a. Calculate the target value "diff" as K - A[i].b. If "diff" is present in the visitedSet, return true as a pair (i, j) exists with f(i, j) = K.c. Add the current element A[i] to the visitedSet.3. If no pair (i, j) is found satisfying f(i, j) = K, return false.
The algorithm utilizes a hash set to store visited elements and checks if the difference between the target value K and the current element A[i] exists in the set. This approach ensures that the algorithm runs in O(n) time complexity, as each element is visited and checked only once.
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Related Questions
Python Programming Questions 1. Software Sales (see Chapter 3, Programming Exercises 12) from the textbook Starting out with Python Fourth Edition by Tony Gaddis: A software company sells a package that retails for $125. Quantity discounts are given according to the following table: Quantity Discount 10-19 5% 20-49 15% 50-99 20%
100 or more 30% Provide a Python program that asks the user to enter the number of packages purchased. The program should then display the number of packages purchased, the amount of the discount (if any) and the total amount of the purchase after the discount. Submit: Algorithm, Python code with documentation, Output. Please explain the Algorithm and this is just a normal program not a function.
This is what I have done I was suppose to just provide a normal program but instead I did it in function.
def purchase_package(quantity):
price = 125
quantity_discount = 0;
# assign discount based on package quantity
if (quantity >=10 and quantity < 20):
quantity_discount = 0.05
elif (quantity >= 20 and quantity < 50):
quantity_discount = 0.15
elif (quantity >= 50 and quantity < 100):
quantity_discount = 0.20
elif (quantity >= 100):
quantity_discount = 0.30
# calculate the total amount after discount total_amount = quantity * price - (quantity * price * quantity_discount)
# display the number of packages purchased, the amount of the discount (if any) a # and the total amount of the purchase after the discount.
print("Total Number of packages purchased: ", quantity);
if (quantity_discount > 0):
print("Discount: {quantity_discount * 100}%");
print("Total amount: ", total_amount);
# Ask for user input, will keep asking for input until it is a valid number
while(True):
quantity = input("Enter number of package/s: ")
try:
quantity = int(quantity)
if (quantity >= 1):
purchase_package(quantity)
break;
else:
print("Please Input a Valid Number!!")
except ValueError:
print("Please Input a Valid Number!!")
Answers
The program starts by asking the user to enter the number of packages purchased. Below is the algorithm and programming code part of the given problem in python.
Algorithm of the given problem:
Get the number of packages purchased from the userCheck the quantity purchased and calculate the discount according to the tableCalculate the total amount of the purchase after the discountDisplay the number of packages purchased, the amount of the discount, and the total amount of the purchasePython code with documentation:
# Get the number of packages purchased from the user
num_of_packages = int(input("Enter the number of packages purchased: "))
# Set initial values for discount and total
discount = 0
total = num_of_packages * 125
# Check the quantity purchased and calculate the discount according to the table
if num_of_packages >= 10 and num_of_packages <= 19:
discount = total * 0.05
elif num_of_packages >= 20 and num_of_packages <= 49:
discount = total * 0.15
elif num_of_packages >= 50 and num_of_packages <= 99:
discount = total * 0.2
elif num_of_packages >= 100:
discount = total * 0.3
# Calculate the total amount of the purchase after the discount
total -= discount
# Display the number of packages purchased, the amount of the discount, and the total amount of the purchase
print("Number of packages purchased: ", num_of_packages)
print("Discount amount: $" + str(discount))
print("Total amount of purchase: $" + str(total))
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what is not a possible benefit of using a while loop?
Answers
it is crucial to remember that if not used appropriately, while loops might result in infinite loops.
A control flow statement called a while loop enables code to be run repeatedly depending on a condition. The following are some potential advantages of utilising a while loop:
1.It permits rerunning a section of code while a specific condition is true.
2.It can be used to carry out iterative tasks like processing list or array elements.
By eliminating the need for redundant or repeating statements, it can make code simpler.
The basic syntax of a while loop is as follows:
while (condition) {
// code to be executed while condition is true
}
As the benefits described above are the main benefits of utilising a while loop, it is untrue to claim that there is an advantage to doing so. However, it is crucial to remember that if not used appropriately, while loops might result in infinite loops.
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what is the effect of impacts on the structure? on the structure course
Answers
Explanation:
Structure controls the major elements of a story, including plot, characters, setting, and theme. ... In this, we see the plot introduced, a crisis or complication, and a resolution. The structure affects the meaning of the story by organizing the theme of the writing.
_____ draft is a mechanical draft created by air pulled through the boiler firebox by a blower located in the breaching after the boiler.
Answers
Answer:
Induced draft is a mechanical draft created by air pulled through the boiler firebox by a blower located in the breaching after the boiler.
Explanation:
What are some advantages of timing many vibrations of theinertial balance instead of just one?
Answers
The correct answer is since the counters can more easily quantify 20 than 1, timing many oscillations reduces the likelihood of inaccuracy in respect of inertial balance.
What is the purpose of inertial balance?
To determine an object's mass using an inertial balance. This inertial balance kit is primarily intended for use in a lab experiment where mass is quantitatively measured apart from the gravitational pull of the Earth to illustrate Newton's First Law. The mass of an object in a weightless environment is frequently calculated in space missions using the same technique.
The kit consists of a frame with two platforms, one of which has holes, joined by two horizontal spring blades. Three cylinders of unknown mass with shoulders are also included; they can all be inserted into the platform's holes. One of these masses has a hole that enables it to be suspended from a ring stand or other object using string (included).
Hence, due by timing more than one oscillation, it lessens the possibility of error, in that the counters have an easier time quantifying 20 versus 1.
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Un mol de gas ideal realiza un trabajo de 3000 J sobre su entorno, cuando se expande de manera isotermica a una temperatura de 58°C, cuando su volumen inicial es de 25 L. Determinar el volumen final
Answers
Answer:
74,4 litros
Explanation:
Dado que
W = nRT ln (Vf / Vi)
W = 3000J
R = 8,314 JK-1mol-1
T = 58 + 273 = 331 K
Vf = desconocido
Vi = 25 L
W / nRT = ln (Vf / Vi)
W / nRT = 2.303 log (Vf / Vi)
W / nRT * 1 / 2.303 = log (Vf / Vi)
Vf / Vi = Antilog (W / nRT * 1 / 2.303)
Vf = Antilog (W / nRT * 1 / 2.303) * Vi
Vf = Antilog (3000/1 * 8,314 * 331 * 1 / 2,303) * 25
Vf = 74,4 litros
primitive transportation and storage systems that make local distribution ineffective if not impossible, the lack of clean water, and the lack of effective sewer systems are all examples of what type of barrier? multiple choice question.
Answers
Primitive transportation and storage systems that make local distribution ineffective if not impossible, the lack of clean water, and the lack of effective sewer systems are all examples of this type of barrier: physical and environment.
What is transportation?Transportation can be defined as a process that involves the movement of humans, products, resources such as water, and other physical things from one geographical area to another, especially through various means (forms) such as:
Water (Ship)Land (Vehicle)Air (Airplane)Rail (Train)What is a barrier?A barrier can be defined as any form of obstacle, impediment or hindrance which makes it impossible to perform an action, function or task in a timely manner.
In this context, we can reasonably infer and logically deduce that all of the aforementioned barriers such as lack of clean water and effective sewer systems, primitive transportation and storage systems are all examples of a physical and environment barrier.
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A Contractor Has A Job Which Should Be Completed In 100 Days. At Present, He Has 80 Men On The Job And It Is Estimated That They Will Finish The Work In 130 Days. Of The 80 Men, 50 Are Each Paid ₱120.00 A Day, 25 At ₱180.00 A Day, And 5 At ₱250.00 A Day. For Each Day Beyond The Original 100 Days, A Contractor Has To Pay ₱500.00 Liquidated Damages.A) How Many
A contractor has a job which should be completed in 100 days. At present, he has 80 men on the job and it is estimated that they will finish the work in 130 days. Of the 80 men, 50 are each paid ₱120.00 a day, 25 at ₱180.00 a day, and 5 at ₱250.00 a day. For each day beyond the original 100 days, a contractor has to pay ₱500.00 liquidated damages.
a) How many more men should the contactor add so that he would complete the work on time?
b) If of the additional men, 2 are paid ₱180.00 a day, and the rest at ₱120.00 a day, would the contractor save money by employing more men and not paying the fine?
Answers
A contractor has a job that should be completed in 100 days. At present, he has 80 men on the job and it is estimated that they will finish the work in 130 days. Of the 80 men, 50 are each paid ₱120.00 a day, 25 at ₱180.00 a day, and 5 at ₱250.00 a day. For each day beyond the original 100 days, a contractor has to pay ₱500.00.
liquidated damages.(a) How many more men should the contractor add so that he would complete the work on time?In the first case, we see that the contractor already has 80 men and they are working for 130 days to complete the job. So, we can use the following formula to determine the additional number of workers required to finish the work in 100 days.
b) If of the additional men, 2 are paid ₱180.00 a day, and the rest at ₱120.00 a day, would the contractor save money by employing more men and not paying the fine Let’s assume that the contractor adds 440 workers, of which 2 are paid ₱180.00 a day and the rest are paid ₱120.00 a day.
The total cost of the new workers is, therefore, ₱9600.00 + ₱4500.00 + ₱49800.00 = ₱63,900.00.The cost of liquidated damages would be calculated as follows: $$LD = (130-100) \cdot 500 = ₱15,000.00$$.
Therefore, the contractor would save money if he employs more men and not pays the fine. The contractor’s savings would be:$$Savings = LD - Additional cost$$$$= 15000.00 - 63900.00 $$$$= -48900.00$$
Thus, we can see that the contractor would save ₱48,900.00 by employing more men and not paying the fine.
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why is ongoing safety training important
Answers
Answer:
Keeps workers interested and motivated, helping reduce dangerous behavior and eliminate hazardous situations
Explanation:
Frequent hands-on training and practice drives home the message that safety is a critical part of any work site. Safety should always be a top concern for every company and organization.
1.5.1: reduce the proposition using laws.
Simplify (pvw)^(pv-w) to p
1. Select a law from the right to apply (pvm)^(pw-w)
Answers
E 1.5.1: Use laws to condense the proposition. ACTIVITY Do you require assistance with this tool? Go up a level Simplify (pvw)A(pv-w) to p 1. Choose a law...
What is a good proposition statement?
Every value proposition should address a customer's dilemma and position your business as the solution provider. A strong value proposition may emphasize how you differ from rivals, but it should always center on how assistance perceive your value. A categorical proposition has three parts: a subject, a predicate, and the connection between them that is denoted (in most languages) by the copula. This was the prevalent belief among Arabic logicians from the beginning of the Arabic logical tradition until the end of the thirteenth century.
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Use the following clues to help fill in the chart on the next page. Put an X in the spaces that are INCORRECT and Highlight the
CORRECT
1 The wizard with the lavender wand is in Ravenel or Sparrowan, and earned 50 or 60 points
2. Gorgonscale earned 10 points less than Sparrowman
3 Lynn scored 20 points less than the wizard with the incense wand.
4. Timmy scored 70 or 80 points. He is in Gorgonscale or Hydraden
5. Among Bennie and the wizard from Sparrowan, one earned 70 points and the other has the lavender wand.
6. The mandragore wand belongs to Edward or to the House of Hydraden
7 Ravenel didn't earn 60 points and Edward is not among it's wizards
8. Bennie scored 10 points more than Edward
9. The wizard with the mandragore wand didn't earn 70 points.
Answers
Mr. auric goldfinger, criminal mastermind, intends to smuggle several tons of gold across international borders by disguising it as lumps of iron ore. he commands his engineer minions to form the gold into little spheres with a diameter of exactly and paint them black. however, his chief engineer points out that customs officials will surely notice the unusual weight of the "iron ore" if the balls are made of solid gold (density ). he suggests forming the gold into hollow balls instead (see sketch at right), so that the fake "iron ore" has the same density as real iron ore one of the balls of fake "iron ore," sliced in half. calculate the required thickness of the walls of each hollow lump of "iron ore." be sure your answer has a unit symbol, if necessary, and round it to significant digits.
Answers
Answer:
The thickness of the walls of each hollow lump of "iron ore" is 2.2 cm
Explanation:
Here we have that the density of solid gold = 19.3 g/cm³
Density of real iron ore = 5.15 g/cm³
Diameter of sphere of gold = 4 cm
Therefore, volume of sphere = 4/3·π·r³ = 4/3×π×2³ = 33.5 cm³
Mass of equivalent iron = Density of iron × Volume of iron = 5.15 × 33.5
Mass of equivalent iron = 172.6 cm³
∴ Mass of gold per lump = Mass of equivalent iron = 172.6 cm³
Volume of gold per lump = Mass of gold per lump/(Density of the gold)
Volume of gold per lump = 172.6/19.3 = 8.94 cm³
Since the gold is formed into hollow spheres, we have;
Let the radius of the hollow sphere = a
Therefore;
Total volume of the hollow gold sphere = Volume of gold per lump - void sphere of radius, a
Therefore;
\(33.5 = 8.94 - \frac{4}{3} \times \pi \times a^3\)
\(\frac{4}{3} \times \pi \times a^3 = 33.5 - 8.94\)
\(a^3 = \frac{24.6}{\frac{3}{4} \pi } = 5.9\)
a = ∛5.9 = 1.8
The thickness of the walls of each hollow lump of "iron ore" = r - a = 4 - 1.8 = 2.2 cm.
Identify the action and reaction forces of a rocket blasting off.
Answers
Answer: ( give brainliest)
Newton's Third Law of Motion states that for every action, there is an equal and opposite reaction. ... A rocket engine produces thrust through action and reaction. The engine produces hot exhaust gases which flow out of the back of the engine. In reaction, a thrusting force is produced in the opposite reaction.
Explanation:
The force that the rocket's engines exert on the exhaust gases is known as the "action force." The rocket experiences an upward thrust as the engines burn fuel and release exhaust gases at high velocity downward.
Thus, The rocket's force on the exhaust gases is referred to as the response force.
The rocket experiences an equal and opposite reaction force in response to the action force, which causes it to be propelled upward into the sky.
For every action, there is an equal and opposite response, states Newton's third rule of motion. The forces involved in a rocket's propulsion during takeoff make this principle clear.
Thus, The force that the rocket's engines exert on the exhaust gases is known as the "action force." The rocket experiences an upward thrust as the engines burn fuel and release exhaust gases at high velocity downward.
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Calculate the peak current that will flow through this circuit assuming an ideal diode. 16. 97 mA during the positive half cycle 16. 97 mA during the negative half cycle 12 mA during the negative half cycle 12 mA during the positive half cycle
Answers
Note that the positive half cycle, the peak current is: 16.27mA
During the negative half cycle, the peak current is 12mA. The above is computed on the assumption that amplitude is 16.97mA
What is peak current?The peak current is the largest amount of current that an output may provide for short periods of time. When a power source or an electrical device is turned on for the first time, a large amount of current flows into the load, beginning at zero and increasing until it reaches a maximum value known as the peak current.
The formula for Load resistor is used to compute the peak current.
I = V/RL
⇒ (|16.97| -0.7) / 1kΩ
= 16.27mA.
When the half cycle is negative:
| = |-12| / 1kΩ
I = 12mA.
Both positive and negative are computed on the assumption that amplitude is 16.97mA
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In a delta-connected load, the relation between line voltage and the phase voltage is?
a) line voltage phase voltage
c) line voltage=phase voltage
b) line voltage
d) line voltage phase voltage
Answers
The relationship between line voltage and phase voltage in a delta-connected load is line voltage = phase voltage.
What is Line Voltage?
In a three-phase system, line voltage, also known as Vline or VL-L, is the potential difference between any two lines or phases that are present in the system. The phases that are present here are coil windings or conductors.
If R, Y, and B are the three phases, the voltage difference between R and Y, Y and B, or B and R is the line voltage (red, yellow, and blue). Phase voltage is the potential difference between one phase (R, Y, or B) and the neutral junction point, and it is represented by the formula Vphase = VR (voltage of Red phase) = VY (voltage of Yellow phase) = VB.
Line voltage and Phase voltage Relation:
Line voltage and phase voltage are proportional to one another.
That means-
When the line voltage increases, so does the phase voltage.The rise in phase voltage is mirrored in the rise in line voltage.To know more about Delta-connected load, visit: https://brainly.com/question/14909914
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Contain information from credible sources. (Only use credible sources when researching topics. A credible source provides accurate information on the subject matter. If you are using information from a blog, identify the author and check to see if the author is an expert in the field. Some credible sources are government agencies (.gov) educational articles (.edu), and mental health journals. If you are unsure of whether a website is credible, identify the author and see if the person/organization is an expert. Do not use Wikipedia as a source. Wikipedia has advice, opinions, and information from a variety of people, some of who are not experts in the field and may be providing incorrect information.) If you are not sure about a website, ask the instructor for help.
contain at least six credible sources
contain a reference page listing all sources used for the project
Answers
Answer:
The answer could be correct
Explanation:
According to your explanation this would really help out the Analyze the example of this band saw wheel and axle. The diameter of the wheel is 14 inches. The diameter of the axle that drives the wheel is 3/4 inch. The actual force needed to cut through a one-inch-thick softwood board is 1.75 pounds. Consider the efficiency of this band saw to be 22%.
Questions: Calculate ideal mechanical advantage when the effort force is applied to the axle.
Questions: considering the efficiency calculate the actual mechanical advantage of the wheel and axle.
Questions: If you used the same wheel and axle in a different way and applied effort force to the wheel to drive the axle, what is the ideal mechanical advantage of the wheel and axle?
water (which you may consider to be an ideal fluid) is flowing in a horizontal tube. at a certain point the tube's diameter is decreased to half of its original size. what happens to the volume flow rate at that point? the volume flow rate decreases by a factor of four. the volume flow rate remains the same. the volume flow rate doubles. the volume flow rate decreases by a factor of two. the volume flow rate increases by a factor of four.
Answers
The area of the cross-section is reduced by a factor of four when the tube's diameter is cut in half, connections which results in a two-fold reduction in the volume flow rate.
The volume flow rate through a tube with a uniform cross sectional area and a fluid moving at a constant rate is equal to the cross-sectional area times the fluid's velocity. As a result, when the tube's diameter is cut in half, the cross-sectional area is decreased by a factor of four, which lowers the volume flow rate by a factor of two. All fluids, including an ideal fluid like water, have this effect. The principle of continuity, which stipulates that a fluid's volume flow rate must remain constant along a conduit provided that the fluid is incompressible and there are no sources or sinks, provides an explanation for this behavior.
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If you want to become a digital citizen, you only have to buy a piece of technology. group of answer choices
a. false
b. true
Answers
The statement "If you want to become a digital citizen, you only have to buy a piece of technology" is false.
Being a digital citizen requires more than just owning technology. Digital citizenship refers to the responsible, ethical, and safe use of technology in today's society. It includes understanding the rights and responsibilities that come with using digital devices and platforms, as well as developing the skills and knowledge required to use them effectively.
The world is rapidly transforming into a digital space where everything is being done online. Becoming a digital citizen requires learning and understanding how to navigate these digital spaces, how to communicate effectively, and how to protect your privacy and security online. It also involves recognizing the impact of your actions on the digital world and society as a whole.
One of the essential skills of a digital citizen is digital literacy, which means the ability to evaluate, analyze, and use digital information effectively. This includes being respectful of other people's opinions, cultures, and beliefs, and understanding that digital platforms are public spaces where people of diverse backgrounds interact.
In summary, owning a piece of technology is not enough to become a digital citizen; it requires learning and adopting the values and skills necessary to use technology responsibly, safely, and ethically.
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*WELDING*
What size arc gap is suggested with a 5/32" (4.0mm) diameter electrode?
Answers
Solution :
The correct size of the arc of a welding process depends upon the application and the electrode. As a rule, the arc length should not be more than a diameter of the core of the electrode.
As for the electrode of diameter size of 5/32" or 4 mm, the arc length should be more than its core diameter. Also for 5/32 " diameter electrode, the welding time for the one electrode must be one minute as well as the length of the weld be the same as the length of the electrode consumed.
In Assembly Language Please Write a program called "NumAverage" that inputs numbers (non-zero positive integers) from a user, averages those numbers, and then displays the result.The program should keep asking for new numbers until the user enters "q" (for quit) or any other character. At that time, the program should average all the numbers entered and display the result. You will need a counter to keep track of the how many numbers are entered. Make sure you display adequate instructions on how the program works. Also display an informative output.
Example: Enter a number: 32
Enter a number: 18
Enter a number: 10
Enter a number: q
The average of your numbers is: 20
================================
For ex write in java language
int sum =0 ; int i =0;
while (input != 'q'){
print(" Enter a number :");
input=next.Int();
sum =input + sum;
i++;}
print ("average number" + ( sum /i) );
Answers
To write a program called "NumAverage" that inputs numbers (non-zero positive integers) from a user, averages those numbers, and then displays the result, check the code given below.
What is program?A specific type of data made up of characters, numbers, and strings must be processed by programmers in order for the results to be useful, so programming languages are created and designed to assist in this process. The term "programme" refers to a collection of instructions that process data.
.MODEL SMALL
.DATA
VAL1 DB ?
NL1 DB 0AH,0DH,'ENTER HOW MANY NO U WANT:','$'
NL2 DB 0AH,0DH,'ENTER NO:','$'
cmp 0AH,Q
jmp
NL3 DB 0AH,0DH,'AVEARGE:','$'
.CODE
MAIN PROC
MOV AX,(atsymbol)DATA
MOV DS,AX
LEA DX,NL1
MOV AH,09H
INT 21H
MOV AH,01H
INT 21H
SUB AL,30H
MOV CL,AL
MOV BL,AL
MOV AL,00
MOV VAL1,AL
LBL1:
LEA DX,NL2
MOV AH,09H
INT 21H
MOV AH,01H
INT 21H
SUB AL,30H
ADD AL,VAL1
MOV VAL1,AL
LOOP LBL1
LBL2:
LEA DX,NL3
MOV AH,09H
INT 21H
MOV AX,00
MOV AL,VAL1
DIV BL
ADD AX,3030H
MOV DX,AX
MOV AH,02H
INT 21H
MOV AH,4CH
INT 21H
MAIN ENDP
END MAIN
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Technician A uses three prong electrical cords when possible.
Technician B uses double insulated electrical tools. Which technician
is correct?
Select one:
A. Technician A only
B. Technician B only
C. Both technicians
D.Neither technician
Answers
Correct me if I’m wrong tnx
1. An automobile travels along a straight road at 15.65 m/s through a 11.18 m/s
speed zone. A police car observed the automobile. At the instant that the two
vehicles are abreast of each other, the police car starts to pursue the automobile at
a constant acceleration of 1.96 m/s². The motorist noticed the police car in his rear
view mirror 12 s after the police car started the pursuit and applied his brakes and decelerates at 3.05 m/s². (Hint: The police will not go against the law.)
a) Find the total time required for the police car to overtake the automobile.
b) Find the total distance travelled by the police car while overtaking the
automobile.
c) Find the speed of the police car at the time it overtakes the automobile.
d) Find the speed of the automobile at the time it was overtaken by the police car.
Answers
Answer:
a.) Time = 17.13 seconds
b.) 31.88 m
c.) V = 11.18 m/s
d.) V = 7.1 m/s
Explanation:
The initial velocity U of the automobile is 15.65 m/s.
At the instant that the two vehicles are abreast of each other, the police car starts to pursue the automobile with initial velocity U = 0 at a constant acceleration of 1.96 m/s². Because the police is starting from rest.
For the automobile, let us use first equation of motion
V = U - at.
Acceleration a is negative since it is decelerating with a = 3.05 m/s² . And
V = 0.
Substitute U and a into the formula
0 = 15.65 - 3.05t
15.65 = 3.05t
t = 15.65/3.05
t = 5.13 seconds
But the motorist noticed the police car in his rear view mirror 12 s after the police car started the pursuit and applied his brakes and decelerates at 3.05 m/s².
The total time required for the police car to overtake the automobile will be
12 + 5.13 = 17.13 seconds.
b.) Using the third equation of motion formula for the police car at V = 11.18 m/s and a = 1.96 m/s²
V^2 = U^2 + 2aS
Where S = distance travelled.
Substitute V and a into the formula
11.18^2 = 0 + 2 × 1.96 ×S
124.99 = 3.92S
S = 124.99/3.92
S = 31.88 m
c.) The speed of the police car at the time it overtakes the automobile will be in line with the speed zone which is 11.18 m/s
d.) That will be the final velocity V of the automobile car.
We will use third equation of motion to solve that.
V^2 = U^2 + 2as
V^2 = 15.65^2 - 2 × 3.05 × 31.88
V^2 = 244.9225 - 194.468
V = sqrt( 50.4545)
V = 7.1 m/s
What are the four scanning systems as per biomedical engineering
Answers
Answer:
- Ultrasound scanning system
- Magnetic Resonance Imaging (MRI)
- Computed tomography (CT)
- X - Ray scan
Explanation:
\(.\)
Answer:
- USS Ultarsound
- Medical sonography
Estimate properties and pipe diameter Determine the diameter of a steel pipe that is to carry 2000 gal/min of gasoline with a pressure drop of 5 psi per 100 ft of horizontal pipe. Pressure drop is a function of flow rate, length, diameter, and roughness. Either iterative methods OR equation solvers are necessary to solve implicit problems. Total head is the sum of the pressure, velocity, and elevation. What is the density of gasoline
Answers
Answer:
Diameter of pipe is 0.535 ft
Explanation:
see attachment, its works out 1st half
A pipe 120 mm diameter carries water with a head of 3 m. the pipe descends 12 m in altitude and reduces to 80 mm diameter, the pressure head at this point is 13 m. Determine the velocity in the small pipe and the rate of discharge (in L/s)? Take the density is 1000 kg/m³.
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Given:
- Diameter of the first pipe (D1): 120 mm = 0.12 m
- Diameter of the second pipe (D2): 80 mm = 0.08 m
- Head at the first pipe (H1): 3 m
- Altitude change (Δh): 12 m
- Head at the second pipe (H2): 13 m
- Density of water (ρ): 1000 kg/m³
Step 1: Calculate the velocities in the pipes using Bernoulli's equation.
Applying Bernoulli's equation between the two points in each pipe:
For the first pipe:
P1/ρ + V1²/2g + H1 = constant (1)
For the second pipe:
P2/ρ + V2²/2g + H2 = constant (2)
Since the pipes are open to the atmosphere, we can assume P1 = P2 = atmospheric pressure (approximately).
Simplifying equation (1):
V1²/2g + H1 = constant (3)
Simplifying equation (2):
V2²/2g + H2 = constant (4)
Step 2: Solve for the velocities V1 and V2.
Using equation (3) for the first pipe:
V1²/2g + 3 = constant (5)
Using equation (4) for the second pipe:
V2²/2g + 13 = constant (6)
Step 3: Solve for the velocities V1 and V2.
Since the constants in equations (5) and (6) are the same (as it is a continuous flow), we can equate the two equations:
V1²/2g + 3 = V2²/2g + 13
V1²/2g - V2²/2g = 10
(V1² - V2²)/(2g) = 10
V1² - V2² = 20g
V1² = V2² + 20g (equation 7)
Step 4: Convert the diameter to radius for each pipe.
r1 = D1/2 = 0.12/2 = 0.06 m
r2 = D2/2 = 0.08/2 = 0.04 m
Step 5: Calculate the rate of discharge (Q) using the continuity equation.
The continuity equation states that the product of the cross-sectional area (A) and the velocity (V) is constant in a flowing fluid.
Q1 = Q2 (since it is a continuous flow)
A1V1 = A2V2
πr1²V1 = πr2²V2
(r1²V1)/(r2²) = V2
Step 6: Calculate the velocity in the smaller pipe (V2).
Substitute the values in equation (7):
V1² = V2² + 20g
(V1²r2²)/(r1²) = V2²
(0.06²V2²)/(0.04²) = V2²
V2² = (0.06²V1²)/(0.04²) [Substitute V1² = 2g(3) from equation (5)]
V2² = (0.06² × 2g × 3)/(0.04²)
V2² = 0.27g
V2 = √(0.27g)
Step 7: Calculate the rate of discharge (Q) in L/s.
Describe some three materials with nanocrystalline structures and identify each example of those material
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Ultrafine crystalline grains in the nanometer range that are separated by grain boundaries or interfaces define nanocrystalline materials.
A nanocrystalline structure: what is it?A polycrystalline substance with a few nanometer-sized crystallites is referred to as a nanocrystalline (NC) substance. These materials bridge the gap between traditional coarse-grained materials and amorphous materials devoid of long-range organisation. Materials that contain clusters, crystallites, or molecules with diameters between 1 and 100 nm are said to be nanostructured materials.
What is an example of a nanostructure?The gecko's foot, iridescent butterfly wings, and hydrophobic leaves are just a few examples of nanostructures found in nature. Scientists and engineers are employing biomimicry to develop new goods with these nano-inspired qualities.
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which one of these reduce fraction?
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what do you expect to happen to the light bulb immediately after the circuit is connected if the capacitor is initially uncharged
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If the capacitor is initially uncharged, when the circuit is connected, the capacitor will begin to charge up, which will cause a current to flow in the circuit.
Initially, the current will be high, but it will gradually decrease as the capacitor charges up. The light bulb will turn on immediately after the circuit is connected, but it may flicker or dim as the capacitor charges up and the current decreases.
Once the capacitor is fully charged, the current in the circuit will be zero, and the light bulb will turn off.
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How does a project differ from an ongoing work effort?
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Answer:
Projects have a fixed budget, while operations have to earn a profit to run the business. Projects are executed to start a new business objective and terminated when it is achieved, while operational work does not produce anything new and is ongoing.
Hope this helped!
F12-33. The ca . R has a speed of 55 ft/s. Determine the angular velocity 8 of the radial line OA at this instant.
Answers
Answer:
0.1375 rad/s
Explanation:
Speed of car = 55 ft/s
We are to find angular velocity, which is θ.
There are mistakes in this question. It should be θ not 8 and r = 400 ft
Radius r = 400ft
Speed = velocity = 55 ft/s
We Express transverse of velocity
Vθ = rθ
Vθ = 400θ
Then magnitude
V = √(Vr)²+(Vθ)²
55 = √0² + 400θ²
55 = √160000θ
55 = 400θ
We find the value of θ
θ = 55/400
= 0.1375rad/s
The angular velocityθ = 0.1375 rad/s