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Comprehensive Final Exam Review 2014 - 15 Grade 11 Physics In addition to the review, the following strategies are excellent examination study tools and are highly recommended: Summarize notes in a condensed version of the essential concepts – 1 page double-sided Redo unit tests making sure you can do all of the questions correctly Practice ‘type’ questions in each unit category Read appropriate sections in your textbook for conceptual understanding Study with other people – their insight can be helpful Come for extra help well before the exam as opposed to ‘cramming’ Grade 11 Physics Review Questions Introduction to Physics 1. List the elements of success we need to excel at Grade 11 Physics. 2. For the following formulas, isolate each variable in terms of the others. Show all intermediate steps. d t G m m 12 2 b. F g r 1 2 v t a t not t c. d f 2 vav a. d. T 2 R Gm e. f g. 3 h. 2 2 v v 2 a d i f 1 v vt v a v 2i f ni sinqi = nr sinqr mv2 Fc = r 3. 4. 5. 6. 7. Find the perimeter of a circle as a function of its diameter. Find the area of a square as a function of its side. Find the area of a sphere as a function of its volume. Find the volume of a cube as a function of its area. Find the number of significant figures in the following measurements. a. 56.900 cg e. 100 g i. 4900 L b. 0.045 km f. 10.0 m j. 3.0 x 104 c. 5.20 X 10-3 mL g. 1010 dg k. 2450 m d. 10.04 kJ h. 0.010 km l. 199 kg 8. Round each of the following measurements to two significant figures. a. 46.4 km e. 874 kj b. 0.000299 g f. 34 fm c. 11779 m g. 279 Tm 2 d. 3.55 x 10 Hz h. 0.0059L 9. Using dimensional analysis convert the following: a. 35 cm into mm f. 5.2 x 108 inch3 to dam3 b. 46 min to s g. 4.77 x 109 pL into L c. 36 km/h to m/s h. 3.69 x 102 Tm2 to furlongs2 d. 76 years to min i. 4264 Mm into feet 2 2 e. 6.0 ft to m j. 6.5 x 1018 nL to ft3 10. Use DA (Dimensional Analysis) to solve: A light flashes at 5.2 Hz. How much time in minutes has elapsed after 1500 flashes? 11. Using DA, find 25 miles/gal in litres per 100 km. 12. Using DA, find the volume of an object if its density is 5.25 grams per cm3 and the mass of the object is 65 grams? 13. Describe what the UDER method is for solving problems. 14. Using the UDER method, solve the following problem. A farmer walks around his field in 2.15 hr at a constant speed of 5.10 km/h. If the field is 3/4 as long as it is wide, what is the field area in square meters? 15. Using the UDER method, solve the following problem. What is the probability of drawing a red king and then a black 7 in succession from a normal deck of playing cards? 16. Describe the seven basic curves for the position time graphs and the three ‘curves’ for the velocity time graphs. Mechanics - Graphs P/T Graph 1. What is the position at 1 s, 2s, 5s, 6.5s, 8s, 9.5s, 10s? 2. What is the displacement from 0-3 s? 3-6s? 6-9.5s? 0-9s? 3. What is the distance traveled from 0-3 s? 3-6s? 6-9.5s? 0-9s? 4. What is the average velocity from 6-7 s? 9-10s? 5-10s? 2-8s? 5. What is the instantaneous velocity at 0.5s? 2s? 5.25s? 8s? 9.2s? 6. What is the average speed from 6-7 s? 9-10s? 5-10s? 2-8s? 7. What is the instantaneous speed at 0.5s? 2s? 5.25s? 8s? 9.2s? 8. What time interval(s) is the object not moving? 9. What time interval(s) is the object accelerating? 10. What time interval(s) is the object moving at a constant velocity? V/T Graph 1. What is the instantaneous velocity at 2 s? 4s? 7s? 8s? 9s? 2. What is the average velocity from 0-2s? 2-4s? 6-9s? 0-4s? 0-5s? 3. What is the distance traveled from 0-2s? 2-6s? 4-7s? 6-8s? 0-10s? 4. What is the displacement from 0-2s? 2-6s? 4-7s? 6-8s? 4-10s? 5. What is the instantaneous speed at 2 s? 4s? 7s? 8s? 9s? 6. What is the average speed from 0-2s? 4-7s? 4-10s? 0-9s? 7. What is the average acceleration from 2-4s? 7-9 s? 4-6s? 2-10s? 8. What is the instantaneous acceleration at 1s? 3.5s? 7s? 9.5s? 9. What time interval is the object slowing down in a negative direction? 10. What time interval(s) is the object speeding up in a positive direction? 11. What time interval(s) is the object slowing down in a positive direction? 12. What time interval(s) is the object speeding up in a negative direction? 13. What time interval(s) is the object slowing down? 14. What time interval(s) is the object speeding up? Mechanics 1. Give three examples of scalar values and three examples of vector values. 2. Add/subtract the following by sketching. Display addition process and resultant. a. + = c. + = b. - x = d. + = 3. A person walks 12.5 km south and then 15.5 km east then 3.2 km north in 3.11 hours. What is the average speed and velocity for the trip? Make sure to include a diagram. 4. Give the vertical and horizontal components of the vector 6.7 km [W35ºN]. 5. Scott hikes 2.4 km [N25ºW] then 3.8 km [S41ºE]. How far is he from his starting point? Solve by the component method and verify with cosine and sine laws. 6. Jordan rows a boat at 4.0 m/s and the current of the river is 3.0 m/s running parallel to the shore and the river is 240 m wide. Find: a) the resultant speed b) the time it takes for Jordan to row across c) Jordan’s landing point relative to his starting point (the shore) 7. A boat travels at 4.5 knots [N] in still water. If it is travelling directly against a current of 1.5 knots [S], what is the resultant velocity of the boat? 8. A boat travels at 4.5 knots [N] in still water. If it is travelling with a current of against of 1.5 knots [SE], what is the resultant velocity of the boat? 9. Is it possible for two vectors with magnitude 3 to add to 4? Sketch a solution. *Calculate the angle at which the vectors should be added together. 10. A plane can fly at 450 km/h with no wind. If this plane wants to fly directly north and there is a 60.0 km/h wind coming from the west, what should the heading be so that the plane will land at its destination? Find the resultant speed. If the destination is 1100 km away due north, how much time will it take? 11. A rocket travelling at +86m/s is accelerated uniformly to +122m/s over a 15 s interval. What is its displacement during this time? Use only thrifty three! 12. The pilot stops a plane in 484 m using a constant acceleration of -8.00 m/s². How fast was the plane moving before braking began? Use only thrifty three! 13. The acceleration due to gravity on the moon is –1.60 m/s2. If a feather is dropped and lands 2.50 seconds later on the moon, what is the displacement of the fall? 14. Marcelle is riding in an elevator standing on a scale with a mass of 65.0 kg. Find the acceleration of the elevator when the scale reads 975 N. Also find the scale reading when the acceleration is – 2.50 m/s2. 15. A race car accelerates uniformly from 7 m/s to 25 m/s at a rate of 8.50 m/s2. What is the displacement during this acceleration? 16. A pilot stops a plane of mass 45000 kg in a distance of 555 m. If the plane had a uniform acceleration of -6.00 m/s2, how fast was the plane moving before the braking began? What is the average force exerted on the plane through friction? 17. A ball is thrown up with a velocity of 22.0 m/s. How long would it take for the ball to return to the exact same place? 2.10 m below original place? 18. A 27.0 kg crate is being accelerated across a horizontal floor at 2.10 m/s2 with an applied force of 65.0 N with friction acting. Find the coefficient of kinetic friction. 19. A 0.215 kg puck is sliding at 9.50 m/s on a horizontal plane of ice with μK = 0.140. How far did the puck travel before it came to a stop? 20. A dragster accelerates at a rate of 12.0 m/s2 from rest for a distance of 425 m at which time it opens a parachute and accelerates at a rate of -7.50 m/s2 to a stop. Find the total distance traveled. 21. Superwoman is hovering 500.0 m above the earth when a skydiver hurtles past her with at a terminal velocity of 130 km/h, (she is wearing baggy pants). What must Superwoman’s acceleration be if her reaction time is 1.10 s and she saves the skydiver just before she hits the ground? 22. Two rugby players are running towards each other on a collision course. One is traveling at a constant velocity of 6.50 m/s. The other one is accelerating from rest at a rate of 3.00 m/s. If the distance between them is 40.0 m, how long will it take them to collide? 23. A flowerpot is bumped from the roof a building and falls past a window 2.25 m in height over a period of 0.124 s. If the bottom of the window is 18.3 m high, how tall is the building? 24. A hot air balloon is rising upward at a rate of 6.0 m/s. If a Pepsi can falls off the basket when it is 12.5 m off the ground, how long does it take for the Pepsi can to hit the ground? 25. Under what condition(s) is the net force on an object zero? 26. What is the mass of a cat that weighs 30.0 Newtons? 27. What is the weight of this cat on the moon (g=1.6 m/s2)? 28. A 15.0 kg block is sliding on a horizontal plane with a 75.0 N force applied to it to the right. A frictional force of 45.0 N is acting against the motion. Find a. 29. What force is required to accelerate a 4.0 kg bowling ball at 5.0 m/s2 neglecting friction? If the coefficient of friction is 0.25, what is the force required to accelerate the bowling ball at the same rate? 30. A 78.2 kg box is pulled horizontally at a constant velocity across a warehouse floor with a 250 N force. Find the coefficient of friction. If it is pulled at an angle of 25º to the floor under the same conditions how would that change the friction coefficient? 31. A force of -5.00 x 103 N is used to stop an 1800 kg car traveling at 30 m/s. What braking distance is needed to bring the car’s velocity to 0? 32. What is the coefficient of friction between a 65 kg roller skater and the floor if the skater moves at a constant speed with a force of 75 N? 33. A 50.0 kg student stands on a bathroom scale on an elevator. What is the normal force provided by the scale when the elevator is accelerating at 3.5 m/s2? What is the acceleration when the scale reads two thirds of the student’s actual weight at rest? Include a diagram. 34. A box is being pulled up an inclined plane. Taking friction into account, show all the forces that are present. 35. A 30.0 kg mass rests on a 25.0º plane. The coefficient of kinetic friction is 0.213. a) How much is the force of gravity pulling the mass down the plane? b) What is the force of static friction? c) What is the force of kinetic friction? d) What is the resulting acceleration? e) If there was no friction, what would the acceleration be? f) The inclined plane is 4.5 m long and sits directly on a horizontal plane with a coefficient of friction of 0.105. How far does the mass slide before it stops? 36. Joe pushes the on the handle of a 15.0 kg lawn mower along an angle of 45.0º to the ground with a 245 N force. The coefficient of kinetic friction is 0.350 and static friction is 0.500. Does the mower move? If it does move answer a-f. If it does not move reduce the coefficient of static friction to half and then answer a-f. a) Draw a diagram with all the forces. b) What is the horizontal component of the applied force? c) What is the Fnet statement in the vertical direction? d) Find the magnitude of FN. e) Find the force of friction on the lawnmower. f) Find the acceleration of the lawnmower. Fields 1. 2. 3. 4. 5. Draw the gravitational field of the Earth. Draw the electric field surrounding two negatively charged objects. Draw the magnetic field of a horseshoe magnet. Explain the three left hand rules for electromagnetism. Find the force of gravity of an object on the surface of Saturn that weighs 450 N on the surface of the Earth. (Use the planetary data set below) Planetary Data Name Sun Mercury Venus Earth Mars Jupiter Saturn Uranus Neptune Pluto Average radius (m) Mass (kg) 6.960 x 108 2.43 x 106 6.073 x 106 6.3713 x 106 3.38 x 106 6.98 x 107 5.82 x 107 2.35 x 107 2.27 x 107 1.991 x 1030 3.2 x 1023 4.88 x 1024 5.979 x 1024 6.42 x 1023 1.901 x 1027 5.68 x 1026 8.68 x 1025 1.03 x 1026 Mean distance from sun (m) ---------------5.80 x 1010 1.081 x 1011 1.4957 x 1011 2.278 x 1011 7.781 x 1011 1.427 x 1012 2.870 x 1012 4.500 x 1012 1.15 x 106 1.2 x 1022 5.9 x 1012 6. Find the value of 'g' 25000 km above the surface of Uranus. 7. Point charge A (-2.3 x 10-4 C) is 80 cm away from point charge B (3.55 x 10-2 C). What is the magnitude of the force between these charges? Is the force repulsive or attractive? 8. Using ratios only, find the weight of an object with a distance of 3.5 times the radius of the Earth away from its center. 9. Describe the system used for showing current or magnetic fields that come out and go into a page. 10. Two unlike charges, q1 and q2, exert a force on each other. Find the ratio of F1 over F2 if q1 is tripled, q2 is doubled and the distance between them is increased by a factor of 6. 11. Describe and explain how a magnetic field is involved in the display of northern lights. 12. On the surface of the Earth, the gravitational field constant is 9.81 m/s2 (in Winnipeg). Using ratios only, At what height above the Earth would acceleration to gravity be 1.00 m/s2? 13. An oil drop has a mass of 7.74 x 10-13 kg suspended in an electric field of strength 5.5 x 106 N/C. What is the charge on the drop and how many electrons are on this drop? 14. At what distance between Earth and the Sun would the net gravitational force be 0? 15. Find ‘g’ on Jupiter. 16. In the future space travel is popular hence you find yourself on the surface of Unknown planet. You drop a hammer from a distance of 8.58 m and it takes 1.90 s to land. If the radius of the planet is 2.65E6 m, find the planet’s mass. 17. On Earth, Joe weighs 9.00E2 N. Using ratios only, find the height above the Earth’s surface where his weight would be 1.50E2 N. (Earth’s radius = 6.383E6 m) Waves/Sound 1. 2. 3. 4. Define wave, crest, amplitude, trough. List and define the major types of waves. A raft bobs up and down 15 times in 20 seconds. Find: T and f A sound wave of wavelength 2.50 m and velocity 343 m/s is produced for 0.85 s. a) How many complete waves are emitted in this time interval? b) How far away is the initial wave? 6. You are traveling in Europe and want to exchange $2.50 Can into Euros. Your English friend says he will give you 1 pound for every $2.10 Can. And your German friend says he will give you 1.2 Euros for every 1 pound you have and he will not exchange your $Can directly. Using conversion factors how many Euros will you get? 7. Draw a typical wave and label wavelength, amplitude, crest, trough + equilibrium. 8. Describe and diagram what happens to a wave when it travels through a boundary. (both heavy to light medium, light to heavy medium). 9. What is the temperature if the speed of sound in a room is 350 m/s? 10. Diagram both fixed and open end reflection. 11. Describe what happens to a person who is tubing behind a boat that is going in circles in terms of interference. 12. Draw a wave that is incident on a mirror. Draw the normal line, the reflected ray, and the wave fronts of both the incident and reflected waves. 13. Using the analogy of a car that travels from pavement to mud at an angle, describe how refraction can occur with light. 14. Draw both wave fronts and the wave rays for: a) a stone thrown in a pond b) waves traveling at an angle from deep to shallow c) waves hitting a parabolic mirror (just rays) 15. The speed of a wave is 11 m/s with a frequency of 107.0 Hz. If the wave changes media and slows down to a speed of 6 m/s, what is the resulting wavelength in the new media? 16. If it takes 8.3 minutes for the light from the sun to reach earth, what is the distance from the sun to the earth? 17. A light ray strikes the surface of a pond from air at an angle of 39.5° to the normal. What is the angle of refraction? 18. What is the speed of light in a material where the index of refraction is 1.75? 19. What is total internal reflection? (give an example) 20. The critical angle is when the refracted ray is tangent to the surface of the surface of the denser medium (refracted angle is 90º). What is the critical angle for a ray of light traveling from diamond into water? 21. Looking into a pool, the apparent depth of an object is 15.00 m. If the angle of refraction is 20.0º, what is the actual depth of the pool? 22. Find the critical angle between water and diamond. 23. Find the speed of sound at 35ºC. 24. A person who is blindfolded claps their hand in a canyon. The first echo is heard 3.2 s later followed by the second 1.2 s after the first. How far away is each canyon wall? The temperature is 27ºC. 25. An organ pipe that is a closed end resonator has a length of 33.0 cm at the second resonance length. If the frequency is 778.1 Hz, what is the temperature in the room where this organ is kept? 26. The highest note on an organ to be installed is 3500 Hz. What is the minimum length of pipe needed if it is closed at one end? *27. A stone is dropped into a well and a sound is heard 6.50s later. Taking the time it takes for the sound to travel back up the well at 15º C, find its depth.