Concept explainers
Power and energy Power and energy are often used interchangeably, but they are quite different. Energy is what makes matter move or heat up and is measured in units of joules (J) or Calories (Cal), where 1 Cal = 4184 J. One hour of walking consumes roughly 106 J, or 250 Cal. On the other hand, power is the rate at which energy is used and is measured in watts (W; 1 W = 1 J/s). Other useful units of power are kilowatts (1 kW = 103 W) and megawatts (1 MW = 106 W). If energy is used at a rate of 1 kW for 1 hr, the total amount of energy used is 1 kilowatt-hour (kWh), which is 3.6 × 106 J.
Suppose the power function of a large city over a 24-hr period is given by
where P is measured in megawatts and t = 0 corresponds to 6:00 P.M. (see figure).
- a. How much energy is consumed by this city in a typical 24-hr period? Express the answer in megawatt-hours and in joules.
- b. Burning 1 kg of coal produces about 450 kWh of energy. How many kg of coal are required to meet the energy needs of the city for 1 day? For 1 year?
- c. Fission of 1 g of uranium-235 (U-235) produces about 16,000 kWh of energy. How many grams of uranium are needed to meet the energy needs of the city for 1 day? For 1 year?
- d. A typical wind turbine can generate electrical power at a rate of about 200 kW. Approximately how many wind turbines are needed to meet the average energy needs of the city?
Want to see the full answer?
Check out a sample textbook solutionChapter 6 Solutions
Calculus: Early Transcendentals (2nd Edition)
Additional Math Textbook Solutions
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
Calculus and Its Applications (11th Edition)
University Calculus: Early Transcendentals (3rd Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Glencoe Math Accelerated, Student Edition
- Use Python for this question: Craps is a single player dice game, that proceeds as follows: the player rolls 2 six-sided dice once if the total is 7 or 11, the player wins if the total is 2, 3 or 12, the player loses otherwise, the game continues, ... see 2 ... the player the continues to roll the dice repeatedly, until ... the total is the same as the original total (from 1), in which case the player wins the total is 7, in which case the player loses Write a function craps that simulates a single game of craps (may be many rolls) and returns 1 if the player wins and 0 otherwise. Attached in the image is the output for this question:arrow_forwardQ1. a) The Little Man Computer (LMC) is an instructional model of a computer used to teach students all of the basic features of a modern computer in a simplified way. The following Little Man program is supposed to add two input numbers and output the result, i.e., OUT = IN1 + IN2 Mailbox Mnemonic code Numeric code 00 IN 901 01 STO 99 399 02 IN 901 03 ADD 99 199 04 OUT 902 05 COB 000 i) Change the program above to add the numbers 157 and 13. (Hint: these numbers are constants and therefore can pre-exist into memory before the execution of the program). No need to write both mnemonics and numeric codes (opcodes), either one is fine. Please refer to the instruction set provided for all the LMC instruction mnemonics and opcodes.arrow_forwardThree forms of negation are given for each statement. Which is correct?a. Some people like mathematics.1. Some people dislike mathematics.2. Everybody dislikes mathematics.3. Everybody likes mathematics.b. Everyone loves ice cream.1. No one loves ice cream.2. Everyone dislikes ice cream.3. Someone doesn’t love ice cream.c. All people are tall and thin.1. Someone is short and fat.2. No one is tall and thin.3. Someone is short or fat.d. Some pictures are old or faded.1. Every picture is neither old nor faded.2. Some pictures are not old or faded.3. All pictures are not old or not faded.arrow_forward
- Programming Problem 3 – Broken GPS Consider yourself driving with 60 miles/hour in a city that has only grid like streets, and your GPS is broken. The specifications of the problem are: • With (x, y) as the coordinates of the car, consider the initial position (0,0). • At each intersection, the only directions available are North, South, East or West • The GPS is broken, and it chooses the direction randomly at each intersection, which happens every 5 minutes • The assumption is that the car has the same speed at all times, including when it changes direction and turns. Write a program that calculates the direct distance from the initial point to the location point of the driver after one hour of driving (i.e. the distance between two points). Java Prograarrow_forwardThree forms of negation are given for each statement. Which is correct?a. Nobody is perfect.1. Everyone is imperfect.2. Everyone is perfect.3. Someone is perfect.b. All swimmers are tall.1. Some swimmer is not tall.2. There are no tall swimmers.3. Every swimmer is short.c. Every planet is cold and lifeless.1. No planet is cold and lifeless.2. Some planet is not cold and not lifeless.3. Some planet is not cold or not lifeless.d. No bears are hungry.1. Only bears are hungy.2. All bears are hungry.3. There is a hungry bear.arrow_forwardLet p, q, and r represent the following statements: p: The first ball is red. q: The second ball is white. r: The third ball is blue. Which would be the correct English statement for the symbolic form (¬¬p ∧∧ q) →→ r ? Group of answer choices A .If the first ball is red or the second ball is white, then the third ball is blue. B. If the first ball is not red or the second ball is white, then the third ball is blue. C .If the first ball is not red and the second ball is white, then the third ball is blue. D. If the first ball is red and the second ball is white, then the third ball is blue.arrow_forward
- Suppose you are a computer salesman and your income depend on the total sales and commissions earned for the computers that you sell. Commission rates vary depending on how many units you sold (see chart below). Your income equals to the total sales plus the commission where the commission equals to total sales times the commission rate. That is, commission = total sales * commission rate and income = total sales + commission. Total Sales Commission rate % Less than 200 sold 8% (totalsales < 200) Greater or equal to 200 sold 10% (totalsales >=200 & totalsales <400) Greater than to 400 sold 12% (if (totalsales >= 400) Use Multiway if, else if (use as many you need) and else correctly Review slides 3-CH-2 Slide 4 and 8 Write the code correctly as show in the chapter slides. Pay attention to the commission chart above: (3) input as examples shown 500, 250, 150 You can work with your team and submit your code and output in PDF. 1. Provide the user the commission rate list…arrow_forwardJava Program. Create a java program that will compute the basic salary of the employee, the daily rate of the employee is 80 pesos per hour the regular daily hours of the employee is 8 hours. Compute the total net gross of the employee in 22 days with the following deductions Pag-ibig = 150, SSS = 400, Philhealth = 200.arrow_forwardA common problem in health informatics is to read a message from another healthcare organization and to parse it to extract the relevant information. In practice, this is a very large problem. However, to get you started thinking in this area, consider receiving a simple message from another organization in the form <<&first name&&last name&&age in years&&medical record number&&diagnosis&>> Your organization needs to read such a message and extract out the five information elements. To do so, it needs to develop a program to accomplish this. Your assignment is to develop pseudocode to accomplish this task. As an example, if the input is: <<&Tom&&Smith&&25&&12345&&pneumonia&>> then you should output the following: First Name: Tom Last Name: Smith Age: 25 Medical Record Number: 12345 Diagnosis: pneumoniaarrow_forward
- Translate the following statement into its symbolic representation: I studied zoology in college, and I can control animals with my mind. 1) p 2) ~p 3) p ∧ q 4) p ∨ q 5) p → q 6) p ↔ qarrow_forwardThe flight of a model rocket can be modeled as follows. During the first 0.15 s the rocket is propelled upward by the rocket engine with a force of 16 N. The rocket then flies up while slowing down under the force of gravity. After it reaches the apex, the rocket starts to fall back down. When its downward velocity reaches 20 m/s, a parachute opens (assumed to open instantly), and the rocket continues to drop at a constant speed of 20 m/s until it hits the ground. Write a program that calculates and plots the speed and altitude of the rocket as a function of time during the flight. SOLVE WITH MATLAB PLEASEarrow_forwardThe following problem shows up in a number of Java texts, including Savitch's textbook: The Harris-Benedict equation estimates the number of calories your body needs to maintain your weight if you do no exercise. This is called your basal metabolic rate, or BMR. The calories needed for a woman to maintain her weight is: WBMR = 655 + (4.3 × weight in pounds) + (4.7 × height in inches) − (4.7× age in years) The calories needed for a man to maintain his weight is: MBMR = 66 + (6.3 × weight in pounds) + (12.9 × height in inches) − (6.8 × age in years) A typical chocolate bar will contain around 230 calories. Write a program that allows the user to input his or her weight in pounds, height in inches, and age in years. The program should then output the number of chocolate bars that should be consumed to maintain one’s weight for both a woman and a man of the input weight, height, and age. NOTE: This is an application of a selection statement! Input Data: Use a named constant for the…arrow_forward
- C++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology PtrC++ Programming: From Problem Analysis to Program...Computer ScienceISBN:9781337102087Author:D. S. MalikPublisher:Cengage LearningEBK JAVA PROGRAMMINGComputer ScienceISBN:9781337671385Author:FARRELLPublisher:CENGAGE LEARNING - CONSIGNMENT