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1. A proton (charge +๐‘’=1.602 ๐‘ฅ 10^โˆ’19 ๐ถ) moves a distance d = 0.30 m in a straight line between points a and b in a linear accelerator. The electric field is uniform along this line, with magnitude ๐ธ= 2.1 ๐‘ฅ 10^7 ๐‘/๐ถ in the direction from a to b. Determine: (a) the force on the proton; (b) the work done on it by the field; (c) the potential difference




2. What is the potential difference between two point in an electric field if it takes 500J of energy to move a charge of 2.5C between these two points?

Show your solution.




1. Two charges of ๐‘ž1=+ 12.0 ๐‘›๐ถ and ๐‘ž2=โˆ’ 12.0 ๐‘›๐ถ are 0.100 m apart (such pairs of point charges with equal magnitude and opposite sign are called electric dipoles.). Calculate the electric field caused by ๐‘ž1.




2. Two charges of ๐‘ž1=+ 3.0 ๐‘›๐ถ and ๐‘ž2=โˆ’ 7.0 ๐‘›๐ถ are separated by a distance of 50 cm. What is the electric field strength at a point that is 20cm from ๐‘ž1 and 30cm from ๐‘ž2? The point lies between ๐‘ž1 and ๐‘ž2.





Show your Solution.





1. Two charges, of ๐‘ž1=+ 3.50 ๐‘๐ถ and ๐‘ž2=โˆ’ 4.50 ๐‘๐ถ are 0.400 m apart. Where along the line joining them will net electric field be zero? Note: ๐ธโƒ— ๐‘›๐‘’๐‘ก= 0 and ๐ธโƒ— 1 and ๐ธโƒ— 2 are opposite.






2. Four point charges are positioned as such: A(0,1), B(2,1), C(0,0), D(2,0). Charge A = -3 microcoulombs, Charge B = 3 microcoulombs, C = 2 microcoulombs, and D = -2 microcoulombs. What is the net electric field experienced at the origin.

the sample population is normally distributed, ยฏx=42.5, ฯƒ = 3, and n = 30. What is the 90% confidence interval for ยต?


(While loop structure)

Write a small program that displays a menu with the following options:


ย ย ย A program that will calculate either the diameter, circumference, or area of a circle. Select your choice.

  1. Diameter
  2. Circumference
  3. Areaย 
  4. Quit

Use the switch statement. The program is to ask for the radius of a circle. Present the menu and execute the corresponding calculation.



(while loop structure)

Write a short program that asks for your height in integer inchesย and then converts your height to feet and inches. Use a constย symbolic constant to represent the conversion factor (Inches perย ft). The only way to exit the program would be for height in inches beย 999.



A customer pays a monthly fee of $37.50 for the telephone serviceย and $3.50 per minute for long distance calls. Input the number ofย minutes for long distance calls. Calculate the total bill. Print theย results and ask again. The only way to exit the program would beย for number of minutes is -1. (while loop structure)


Explain the difference between a community and a population.


A construction company manufactures bags of concrete mix from beach sand and river sand. Each cubic of gravel. Each cubic meter of river sand costs P100 and contains 3 units of fine sand, 6 units of coarse sand, and 2 units of gravel. Each bag of concrete must contain at least 12 units of fine sand, 12 units of coarse sand, and 10 units of gravel. Find the best combination of beach and river sand which will meet the minimum requirements of fine sand, coarse sand, and gravel at the least cost.

A hog raiser is mixing two types of grains A and B. each units of grain A costs P50 and contains 20 grams of fat and 10 grams of protein. Each unit of grain B costs P80 and contains 30 grams of fat and 30 grams of proteins. The hog raise wants each units of the final product to yield at least 180 grams of fat and at least 120 grams of protein. How many units of each type of grain should he use to maximize his sales?


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