Honors Physics Summer Assignment 2013 Begin this packet after you confirm your placement with guidance. This assignment is being handed out to all students who have requested Honors Physics in 2013-14. Receiving this assignment in no way guarantees or indicates that you will be placed in the Honors Physics class in 2013-14. The exact schedule of each student will only be known after the master schedule is completed in summer. Start working on this packet only after you receive confirmation from Guidance that you are indeed in the 2013-14 Honors Physics class. Enjoy your summer!
OBJECTIVE: The purpose of this assignment is to reinforce some mathematics skills that you will be using extensively this year. NOTE: The answers to the problems are given in the parentheses at the end of the problems. These are provided so that you can verify that you completed the problems successfully. HOW DOES THIS ASSIGNMENT COUNT? -On the third day that your class meets after the summer vacation, you will be given an assessment (test) based upon this Summer Assignment. Expect the questions on the assessment to be very reminiscent of the Summer Assignment. In short, those of you who did the summer assignment can expect to receive an excellent grade, since you will be well prepared. Those who did not----well, you will be taking your chances. Remember to practice doing the problems in detail, showing all work. When you take the in class assessment, you will be required to show all your work to receive full credit. EXTRA HELP: You may email me at rama.basu@monroe.k12.nj.us if you have any questions or need help with the assignment.
Honors Lab Physics Summer Assignment: Unit Conversions: Metric Conversions Convert the following and provide a decimal answer. Write your answers in the spaces provided. Use the side space for any work. 1. 256 m = cm 2. 97.25 cm = mm 3. 952 g = mg 4..574 m = nm 5. 5.287 l = ml 6. 785.3 km = m 7. 84.363 km = cm 8. 872 km = mm 9. 95,824 cm = mm 10. 8.26 MHz = Hz 11. 36 mm = cm 12. 857 µs = s 13. 8.52 mg = g 14. 975 mm = cm 15. 9,824 nm = m 16. 74.21 cm = km 17..254 g = kg 18. 96 mm = km 19. 12.5 pm = m 20..85 ml = l 21. 86 g = mg 22. 87.2 mm = cm 23. 1 mm = cm 24. 973.5 cm = km 25..534 µm = m 26. 984 g = kg 27. 8.64 m = µm 28. 64.3 ml = l 29. 8.47 km = m 30. 74,201 mm = km 31..24 mg = kg 32. 7.4 kg = g 33. 874 m = cm 34. 1 cm = km 35. 8.412 mm = m 36. 68.2 mg = g 37. 8.5743 cm = km 38. 95,870 m = mm 39. 547 khz = Hz 40. 1 km = mm (Ans: 25600 cm, 972.5 mm, 952000 mg, 5.74X10 8 nm, 5287 ml, 785300 m, 8436300 cm, 8.72X10 8 mm, 958240 mm, 8.26X10 6 Hz, 3.6 cm,8.57x10-4 s, 8.52X10-3 g, 97.5 cm, 9.824X1010-6 m, 7.421X10-4 km, 2.54X10-4 Kg, 9.6X10-5 km, 1.25X10-11 m, 8.5X10-4 l, 86000 mg, 8.72 cm, 0.1 cm, 9.735X10-4 km, 5.34X10-7 m, 0.984 kg, 8640000 µm,.0643 l, 8470 m, 7.4201X10-2 km, 2.4X10-7 kg, 7400 g, 8740 cm, 1.0X10-5 km, 8.412X10-3 m, 6.82X10-2 g, 8.5743X10-5 km, 95870000 mm, 547000 Hz, 1000000 mm)
UNIT CONVERSIONS 2 Convert the following. Show all work. 1. There are approximately 1.61 kilometers in a mile. A marathon is 26.3 miles long. How long is a marathon in meters? (42943 m) 2. The old English unit of mass is the slug. One slug is equal to 14.59 kg. If a truck has a mass of 2500 kg, what is the mass of the truck in slugs?(171.35 slugs) 3. A car on the highway travels at 90 km/hr. Express this speed in m/s.(25 m/s) 4. Atmospheric pressure averages 14.7 lb/in 2. Express this pressure in kg/cm 2. 1 kg = 2.2 lbs and 1 in = 2.54 cm.(1.04 kg/cm 2 ) 5. On the ocean, speed is measured in knots (which is really nautical miles per hour- nm/hr). 1 nm = 6080 feet. If a boat travels at 15 knots (nm/hr), how many feet per second does that boat travel?(25.3 ft/s) 6. What is the speed of the boat from question #5 in m/s? One meter is 3.281 feet.(7.72 m/s) 7. Your 1999 Saturn gets 33 mi/gal on the highway. For your new job you have to move to Europe where they sell gasoline by the liter and measure distances in kilometers. What is your gas mileage in km/l? 1 mile = 1.61 km. 1 gal = 3.79 l (14.02 km/l) 8. The area of a metal plate 525 cm 2. What is this area expressed in m 2?(.0525 m 2 ) 9. Water pumps are usually rated in a flow rate of gal/hr. If a pump is rated at 500 gal/hr, how many l/min does the pump move? 1 gal = 3.79 l (31.58 l/min) 10. The Earth has an average density of 3.2 oz/in 3. What is the Earth s density in g/cm 3? There are 28.34 grams in an ounce and 2.54 cm in an inch.(5.53 g/cm 3 ) Solve the following quadratics and give answers in decimal form. 1. x 2 7x + 10 = 0 2. x 2 14x + 45 = 0 3. 0.25x 2 0.25x 10.5 = 0 4. 0.3y 2 + 0.15y 11.7 = 0 5. 10k 2 + 200k + 937.5 = 0 6. x 2 11x + 30.25=0 7. 4x 2 + 8x 77 =0 8. 16y 2 8y 3 = 0 9. x 2 1.375x + 0.375 = 0 10. z 2 + 0.6z 20.16 = 0 11. x 2 = 15 + 2x 12. x 2 10x + 35 = 7x 35 13. 2x 2 + 5 + 20x = 20 8x 2 + x 14. 3 = 16p 20p 2 15. 8x = 0.5x 2 + 31.5 ANSWERS : (1) 1. 5, 2 ( 2) 9, 5 ( 3) 7, - 6 ( 4) 6, - 6.5 ( 5) - 7.5, - 12.5 ( 6) 5.5 ( 7) 3.5, - 5.5 ( 8) 0.75, - 0.25 ( 9) 1, 0.375 ( 10) 4.2, - 4.8 ( 11) 5, - 3 (12) 10, 7 (13) 0.6, - 2.5 ( 14) 0.5, 0.3 (15) 9, 7
Problems with Quadratics: 1. A thumbnail has a height that is 8/6 its width. It is to be enlarged to have an area of 192 square centimeters. What will be the dimensions of the enlargement? (12 cm, 16 cm) 2. There exist two numbers such that one number is the square of another. Their sum is 132. What are the numbers? (- 12 and 144, and 11 and 121 ) 3. A field measuring 12 meters by 16 meters is to have a brick paver walkway installed all around it, increasing the total area to 285 square meters. How wide will the walkway be? (1.5 m) 4. The height of a ball thrown up with a velocity of 39.2 m/s is given as a function of time(measured in seconds) by the equation H(t) = 39.2t - 4.9t 2 + 58.8. How much time will the ball take to fall to the ground? (9.29 s) 5. The square of a number is decreased by 15. This value is twice the original number. Find the number(s). (- 3 or 5) Distance, Speed and Time problems 1. John bikes to his friend s house, which is 50 blocks away. He gets there in half an hour. What is John s speed? (100 blocks/hour) 2. In the previous problem, if the length of each city block is 0.15 km, what was John s speed in km/hr? How long would he take to travel 18 km at the same rate? (15 km/h, 1hr 12 min) 3. Lucy takes 5.5 hours to travel between 2 cities that are 250 miles apart. She travels two fifths of the distance at a rate of 60 mph on a highway. She drives the rest of the distance on local roads. What is her average speed for the second part of her journey? (39.1 mph) 4. Orson rides his power boat up and down a canal. The water in the canal flows at 6 miles per hour. Orson takes 5 hours longer to travel 360 miles against the current than he does to travel 360 miles with the current. What is the speed of Orson's boat in still water? (30 mph) 5. Peter starts out from a restaurant traveling at 24 mph. Alex leaves the restaurant 15 minutes later, traveling at 36 mph in the same direction. How long will it take Alex to pass Peter? How far away from the restaurant will they be when Alex passes Peter? (0.5 hours, 18 miles from the restaurant)
Right Triangle Trigonometry Ratios Review: 1. Find the missing sides and angles for the following triangles: a. b. 14 cm 5 cm 12 cm 37 o c. 20 o d. 15 m 13m 53 o (a. 9.04 cm, 15 cm, 53 o, b. 19.7 o, 14.87 cm, 70.3 o, c. 14.1 m, 5.13m 70 o, d. 16.3m, 9.8 m, 37 o ) Problems: 1. The stringer, that supports the stairs, makes an angle of 50 with the floor. It reaches 3.2 m up the wall. How far is the base of the stringer from the wall? (2.7 m) 2. A ship is 130 m away from the center of a barrier that measures 180 m from end to end. What is the minimum angle that the boat must be turned to avoid hitting the barrier?(34.7 o ) 3. A ramp has an angle of inclination of 20. It has a vertical height of 1.8 m. What is the length, L meters, of the ramp? (5.3 m)
4. A damaged tree is supported by a guy wire 10.0 m long. The wire makes an angle of 61 with the ground. Calculate the height at which the guy wire is attached to the tree. (8.7 m) 5. A helicopter is hovering above a road at an altitude of 24 m. At a certain time, the distance between the helicopter and a car on the road is 45.0 m. Calculate the angle of elevation of the helicopter from the car. (32.2 o ) 6. From the top of a building 21.0 m tall, the angle of elevation of the top of a taller building is 46. The angle of depression of the base of the taller building is 51. What is the height of the taller building? (47.9 m) A B 46 C 51 7. Find the length of AB. (6.9 m) A 21.0 m 6 m 40 3 m E 17.0 m D 10 m B 8. Find the length of AD. Show the steps of your solution. (96.7 cm) A 46 55 D B 55.0 m C
9. Sean wishes to find the length of a pole, CD, that is on the roof of a building. The angle of elevation of point C is 40 and the angle of elevation for point D is 28. The distance AB is 40.0 m. Find the length of the pole. Show the steps of your solution. (12.3 m) C D bui lding A 40.0 m B 10. A person observes that from point A, the angle of elevation to the top of a cliff at D is 30. Another person at point B, notes that the angle of elevation to the top of the cliff is 45. If the height of the cliff is 80.0 m, find the distance between A and B. Show the steps of your solution. (58.6 km)