1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vera_Pavlovna [14]
3 years ago
11

The manufacturer of a 1.5 V D flashlight battery says that the battery will deliver 9 mA for 40 continuous hours. During that ti

me, the voltage will drop from 1.5 V to 1.0 V. Assume the drop in voltage is linear with time. (2 points) How many seconds is 40 hrs? (5 points) Plot the battery voltage as a function of time. Each axis needs a label (what is being plotted), scale (the values along the axis), and units. (7 points) Plot the battery power as a function of time. Write an equation for the power from 0 hours to 40 hours. (6 points) Remember that power is the derivative of energy with respect to time so energy is the integral of power over a given time period. There are two ways to find the energy. One is to calculate the area under the power curve from 0 hours to 40 hours. The second is to perform the integration of the power function from 0 to 40 hours. Find how much energy does the battery delivers in this 40 hour interval using both methods. The numerical answer is 1620 J. You must show the correct method to get credit.

Engineering
1 answer:
Jet001 [13]3 years ago
4 0

Answer:

a) 144.000 s

b) and c)Battery voltage and power plots in attached image.

   V=-\frac{0.5}{144000} t + 1.5 V[tex]    [tex]P(t)=-(31.25X10^{-9}) t+0.0135  where D:{0<t<40} h

d) 1620 J

Explanation:  

a) The first answer is a rule of three

s=\frac{3600s * 40h}{1h} = 144000s

b) Using the line equation with initial point (0 seconds, 1.5 V)

m=\frac{1-1.5}{144000-0} = \frac{-0.5}{144000}

where m is the slope.

V-V_{1}=m(x-x_{1})

where V is voltage in V, and t is time in seconds

V=m(t-t_{1}) + V_{1} and using P and m.

V=-\frac{0.5}{144000} t + 1.5 V[tex] c) Using the equation VPOWER IS DEFINED AS:[tex] P(t) = v(t) * i(t) [tex]so.[tex] P(t) = 9mA * (-\frac{0.5}{144000} t + 1.5) [tex][tex]P(t) = - (31.25X10^{-9}) t + 0.0135

d) Having a count that.

E = \int\limits^{144000}_{0} {P(t)} \, dt  = \int\limits^{144000}_{0} {v(t)*i(t)} \, dt

E = \int\limits^{144000}_{0} {-\frac{0.5}{144000} t + 1.5*0.009} \, dt = 1620 J

You might be interested in
A plate and frame heat exchanger has 15 plates made of stainless steel that are 1 m tall. The plates are 1 mm thick and 0.6 m wi
hodyreva [135]

Answer:

14.506°C

Explanation:

Given data :

flow rate of water been cooled = 0.011 m^3/s

inlet temp = 30°C + 273 = 303 k

cooling medium temperature = 6°C  + 273 = 279 k

flow rate of cooling medium = 0.02 m^3/s

Determine the outlet temperature

we can determine the outlet temperature by applying the relation below

Heat gained by cooling medium = Heat lost by water

= ( Mcp ( To - 6 )  =  Mcp ( 30 - To )

since the properties of water and the cooling medium ( water ) is the same

= 0.02 ( To - 6 ) = 0.011 ( 30 - To )

= 1.82 ( To - 6 ) = 30 - To

hence To ( outlet temperature ) = 14.506°C

6 0
3 years ago
C#: Arrays - Ask the user how many students names they want to store. You will create two parallel arrays (e.g. 2 arrays with th
zhenek [66]

Answer:

  1. using System;      
  2. public class Program
  3. {
  4. public static void Main()
  5. {
  6.  Console.WriteLine("Enter number of students: ");
  7.  int num = Convert.ToInt32(Console.ReadLine());
  8.  string [] firstName = new string[num];
  9.  string [] lastName = new string[num];
  10.  
  11.  for(int i=0 ; i < num; i++){
  12.   Console.WriteLine("Enter first name: ");
  13.   firstName[i] = Console.ReadLine();
  14.    
  15.   Console.WriteLine("Enter last name: ");
  16.   lastName[i] = Console.ReadLine();
  17.  }
  18.  
  19.  for(int j=0; j < num; j++){
  20.   Console.WriteLine(lastName[j] + "," + firstName[j]);
  21.  }
  22. }
  23. }

Explanation:

Firstly, prompt user to enter number of student to be stored (Line 6- 7). Next, create two array, firstName and lastName with num size (Line 8-9).

Create a for-loop to repeat for num times and prompt user to enter first name and last name and then store them in the firstName and lastName array, respectively (Line 11 - 17).

Create another for loop to traverse through the lastName and firstName array and display the last name and first name by following the format given in the question (Line 19 - 21).

4 0
3 years ago
Most motor vehicle crashes in Florida in 2016 occurred on
vlada-n [284]
Most Motor Vehicle catches in Florida in 2016 occurred on Motorcycles. Another option could be roads.
4 0
3 years ago
Read 2 more answers
A 1.00 liter solution contains 0.46 M hydrocyanic acid and 0.35 M potassium cyanide If 25.0 mL of water are added to this system
victus00 [196]
I won leader solution contain 0.46 mL of hydronic I said of 0.3 potassium
4 0
2 years ago
2.1 What is the minimum number of pins required for a so-called dual-op-amp IC package, one containing two op amps? What is the
cupoosta [38]

Answer:

8 for dual-op-amp package, and 14 for quad-op-amp

Explanation;

This is because every op-amp has 2 input terminal 4 pns

So one output terminal that is 2 pins which are required for power

and the same for a minumum number of pins required by quad op amp which is 14

5 0
3 years ago
Other questions:
  • The specific volume of mercury is .00007 m^3/Kg. What is its density in lbm/ft^3?
    10·1 answer
  • What is a two stroke engine and what is a four stroke engine, please keep the definitions as simple as can be and please explain
    8·2 answers
  • I need answers for this sheet please.
    15·1 answer
  • Identify the measurement shown in figure 7 and state in centimeters ​
    5·1 answer
  • An amplifier which needs a high input resistance and a high output resistance is : Select one: a. A voltage amplifier b. None of
    8·1 answer
  • Give me an A please!!!¡!!!!¡
    5·1 answer
  • A reservoir is 1 km wide and 10 km long and has an average depth of 100m. Every hour, 0.1% of the reservoir's volume drops throu
    5·1 answer
  • FAST PLLZZ!! Ideally, the backrest is tilted back slightly, so when you turn the wheel your shoulders are _______ the seat.
    8·1 answer
  • The velocity components expressed in m/s<br>​
    6·1 answer
  • a metal rod 24mm diameter and 2m long is subjected to an axial pull of 40 kN. If the rod is 0.5mm, then find the stress-induced
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!