College physics

1) A 600 g model rocket is on a cart that is rolling to the right at a speed of 4.0 m/s . The rocket engine, when it is fired, exerts a 9.0 N vertical thrust on the rocket. Your goal is to have the rocket pass through a small horizontal hoop that is 25 mabove the launch point. At what horizontal distance left of the loop should you launch?

2) A m1 = 5.2 kg box is on a frictionless θ = 36 ∘ slope and is connected via a massless string over a massless, frictionless pulley to a hanging m2 = 1.7 kg weight. What is the tension in the string once the box begins to move?

3) A 300 g block on a 54.0 cm -long string swings in a circle on a horizontal, frictionless table at 60.0 rpm. What is the speed of the block? What is the tension in the string?

I^- + NO₃^- ? I₂ + NO          Note: I₂ is elemental

Indicate the numeric coefficient in front of the following compounds, after balancing the reaction above

I^-

NO₃^-

I₂

NO   

STOICHIOMETERY QUESTION :-When aluminum metal is added to sulphuric acid, hydrogen gas and aluminum sulphate is produced. What volume of hydrogen gas will evolve if we use 15.00 mL of a 0.250M solution of sulphuric acid and add 0.0712 g of aluminum? Assume that this reaction is only 90.0% efficient and that the experiment was performed at 1.00 atm and 25.0°C. (MMAl = 26.98 g/mole)

Constructa 99% confidence interval for the population mean, µ, AND State what type of Interval you use (ZInterval, TInterval, 1-PropZInterval). A sample of 22 professors had a mean amount of experience of 10.8 years with a standard deviation of 3.3 years. Assume the population is normally distributed

Bob Loblaw and Wayne Jarvis get together to form a new corporation. They each own 50% of the stock. Neither is employed by the corporation. In the first year of operation, the corporation generates $1 million of taxable income and pays $100,000 in dividends ($50,000 each to Bob and Wayne). Assuming a 21% corporate tax rate and a 35% personal tax rate, how much corporate and personal tax will be paid?
Corporate tax:
Bob and Wayne each pay tax:

Same as the above but now assume that instead of a corporation they form a partnership. Instead of receiving dividends, Bob and Wayne each withdraws $50,000 from the partnership (also known as a "draw"). Assume they do not qualify for the Sec. 199A deduction for qualified business income.
Partnership tax:
​​​​​​​Bob and Wayne each pay tax:

1- Create a class called Point that has two instance variables, defined as private, as follows: An x coordinate and a y coordinate of type integer.

a) Write two constructors for the Point class as follows: A default constructor that sets the class instance variables to zero and a constructor that receives two integer values and sets the instance variables to them.

b) Write the set and get methods for the Point class to set and return the values of its instance variables.

c) Write a toString() method for the Point class that prints the class name (Point) and the value of its instance variables.


2- Create three classes called Circle, Rectangle and Square with the following properties:

- The Circle class has two instance variables – a position of type Point (the class that you just created above) and a radius of type double. The instance variables position and radius specify the position of the center and radius of the circle, respectively.

- The Rectangle class has three instance variables – a position of type Point  (the class that you just created above), a length and a width of type double. The instance variables position, length and width specify the position of the top left corner, length and width of the rectangle, respectively.

- The Square class has two instance variables – a position of type Point (the class that you just created above) and a length  of type double. The instance variables position and length specify the position of the top left corner and length of the square, respectively.

For each of the Circle, Rectangle andSquare classes do the following:

a) Define the instance variables as private.

b) Write two constructors for each class as follows: A default constructor that sets the instance variables to zero and a constructor that receives values for the instance variables and sets them.

c) Write the set and get methods for each class to set and return the values of their instance variables. For example, one of the get methods would return a Point.

d) Write a toString() method for each class that prints the class name (Circle, Rectangle or Square) and the value of its instance variables.

e) Write two methods called getPerimeter() and getArea() for each class, which calculate and return the perimeter and area of the class, respectively. For example, the getArea() method of the Square class returns the area of the Square object.


3- Test the above classes by writing a class called GeometricTest.java that does the following:

- Creates instances of the Circle, Rectangle and Square classes as follows:

- Circle: positioned at x = 7, y = 3 and the radius = 4.5.

- Rectangle: positioned at x = 3, y = -1 and the length = 4.0 and width = 6.0.

- Square: positioned at x = 5, y = 8 and the length = 2.0.

- Prints each of the above objects.

- Changes the length of the Square object to 5.0.

- Prints the perimeter and area of each of each of the above objects.

- Compares the x coordinates of the Square and Rectangle classes and prints a message specifying which one of them has a larger x coordinate.

A football kicker can give the ball an initial speed of 24 m/s. He is 45 m from the goalpost which has a crossbar 2.69 m high.

a) What is the smallest angle of elevation that he can kick the football and score a field goal?

b) What is the largest angle of elevation that he can kick the football and score a field goal?

Austin Corporation started its production operations on January 1. During January, the Mixing Department completed 20,000 units. There were 5,200 units in ending inventory which were 70% complete with respect to materials and 15% complete with respect to conversion costs. This created equivalent units for materials of 23,640 and equivalent units for conversion of 20,780. During January, the department accumulated materials costs of $56,928 and conversion costs of $81,523. Calculate the cost of ending inventory.

$8,772

$3,057

$11,830

$5,200

A company maintains two offices in a certain region, each staffed by two employees. Information concerning yearly salaries (1000s of Dollars) is as follows:

a) Suppose two of these employees are randomly selected from among the four (without replacement). Determine the sampling distribution of the sample mean salary X.

b) Suppose one of the two offices is randomly selected. Let X1 and X2 denote the salaries of the two employees. Determine the sampling distribution of X.

c) How does E(X) from parts (a) and (b) compare to the population mean salary?

The function
x = (8.5 m) cos[(5?rad/s)t + ?/3 rad]
gives the simple harmonic motion of a body. At t = 7.3 s, what are the (a) displacement, (b) velocity, (c) acceleration, and (d) phase of the motion? Also, what are the (e) frequency and (f) period of the motion?

1. Single Plantwide Factory Overhead Rate

   Salty Sensations Snacks Company manufactures three types of snack foods: tortilla chips, potato chips, and pretzels. The company has budgeted the following costs for the upcoming period:

   Factory depreciation		$17,457
   Indirect labor		43,263
   Factory electricity		4,934
   Indirect materials		10,246
   Selling expenses		24,288
   Administrative expenses		13,662
   	Total costs	$113,850

   Factory overhead is allocated to the three products on the basis of processing hours. The products had the following production budget and processing hours per case:

   		Budgeted Volume (Cases)				Processing Hours Per Case
   Tortilla chips			5,400			0.12
   Potato chips			1,800			0.15
   Pretzels			6,000			0.10
   	Total		13,200

   If required, round all per-case answers to the nearest cent.

   a. Determine the single plantwide factory overhead rate.
   $ per processing hour

   b. Use the factory overhead rate in (a) to determine the amount of total and per-case factory overhead allocated to each of the three products under generally accepted accounting principles.

   	Total Factory Overhead	Per-Case Factory Overhead
   Tortilla chips	$	$
   Potato chips
   Pretzels
   Total	$

Project 1 - 24 hour to 12 hour conversion

write in c++

Write a program that converts from 24-hour notation to 12-hour notation. For example, it should convert 14:25 to 2:25 PM. The input is given as two integers. There should be at least three functions, one for input, one to do the conversion, and two for output (one for 12-hour time and another for 24-hour time). Record the AM/PM information as a value of type char, ‘A’ for AM and ‘P’ for PM. Thus, the function for doing the conversions will have a call-by-reference formal parameter of type char to record whether it is AM or PM. (The function will have other parameters as well.) Include a loop that lets the user repeat this computation for new input values again and again until the user says he or she wants to end the program.

Each iteration of the loop will process 3 inputs:

1. Hour of current time
2. Minute of current time
3. Whether or not to continue the loop

You mustimplement 4 functions. You are notpermitted to change the name or signature of these functions; the testing framework is going to directly call the functions. The three functions and their signatures are (use the signatures as a hint for how to implement this!):

1. get_input(int &hour, int &minute)- function sets the hour and minute based on user input
2. convert_to_12_hour(int &hour, char &am_pm);- function converts the hour to 12-hour notation and sets AM/PM
3. print_24_hour_time(int hour, int minute)- function outputs the 24-hour time.
4. print_12_hour_time(int hour, int minute, char am_pm)- function outputs the 12-hour time.

Sample execution:

Enter the hour in 24-hour format: 9
Enter the minute in 24-hour format: 13
The time in 24-hour format is 09:13
The time in 12-hour format is 09:13AM
Continue? (y/n): y

Enter the hour in 24-hour format: 12
Enter the minute in 24-hour format: 55
The time in 24-hour format is 12:55
The time in 12-hour format is 12:55PM
Continue? (y/n): y

Enter the hour in 24-hour format: 14
Enter the minute in 24-hour format: 05
The time in 24-hour format is 14:05
The time in 12-hour format is 02:05PM
Continue? (y/n): n

At standard temperature (298 K) and pressure (1 atm), what volume of air would be required to burn 100 g of propane? Assume that air consists of 21% oxygen.

please give a solution

a) Fill out the following table with the values in R0 and R1 after each instruction is executed. Please use hexadecimal. The first line is completed for you. (4 pts)

b) Explain what the instruction at each of the following addresses does. (4 pts)

• Address 0101₁₆:
• Address 0102₁₆:
• Address 0103₁₆:
• Address 0104₁₆:

c) What is the value stored in PC when the instruction at address 0102₁₆ is executed? (1 pt)