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June 2013 SPH3U EXAM REVIEW PART A: Review Notes & Equations Make short review notes for each of the units. Review equation sheet – make sure you know what the variables are and how it’s used. PART B: Review Questions KINEMATICS 1. Find the following using the position-time graph (position scale in km [N]): a) position at B b) velocity at A c) when object is not moving d) when moving south e) total distance f) total displacement g) average speed for entire trip h) average velocity for entire trip Answers a) 10 km[N] b) 40 km/h[N] c) B to C d) after 3.5 h e) 160 km f) 20 km[N] g) 29 km/h h) 3.6 km/h[N] 2. Answer the questions related to the following velocity-time graph: a) when object is not moving [E] b) velocity at 2.0 s c) when moving backwards d) when moving fastest e) when uniform motion f) acceleration from B to C g) acceleration from D to E h) displacement from A to E Answers a) 4 s and 8.5 s b) 40 m/s [W] c) 0-4 s and 8.5-11 s d) at E, 50 m/s [W] e) A to B f) 40 m/s2 [E] g) - 20 m/s2 [W] h) - 97.5 m [W] 1 June 2013 3. An airplane travels from Calgary to Toronto in 4h 20 min. Find the average speed if the distance between the two cities is 4330 km. [ 1.0x103 km/h ] 4. In a race, a boat travels a distance of 220 m [E 40° N] and then rounds a buoy and travels a distance of 360 m [W] to the finish line. The whole trip takes 22 s. Using either a scale diagram or vector components, determine the displacement and average velocity of the boat. {240 m [N54°W], 11 m/s [N54°W]} 5. A train travelling at 1.00x102 km/h slows down with a uniform acceleration of 0.60 m/s2. How long does it take to stop? [ 46 s ] 6. A bobsled has a constant acceleration of 2.0 m/s2, starting from rest. a. How fast is it going after 5.0 s? b. How far has it travelled in 5.0 s? c. What is the average velocity in the first 5.0 s? d. How far has it travelled by the time its speed has reached 30.0 m/s? [ 1.0x101 m/s; 25 m; 5.0 m/s; 230 m ] 7. A stone is thrown straight down from the top of a cliff with an initial velocity of 6.0 m/s. It reaches the bottom in 3.0 s. How high is the cliff? [ 62 m ] 8. A plane flying at 80.0 m/s releases a package from a height of 1.00x103 m. Find a. the time it takes for the package to hit the ground. [14.3s] b. the distance it travelled horizontally. [1.14x103 m] c. the final velocity (including angle) of the package. [1.61x102 m/s 60.3° below horizontal] 9. A video game programmer is designing a soccer game and running tests to ensure that the game is as accurate as possible. As a test, a ball is kicked with an initial velocity of 16.5 m/s at an angle of 35° above the horizontal. Calculate the ball’s time of flight, horizontal range and maximum height. [1.9s, 26 m, 4.6 m] FORCES 10.A 40.0 kg sprinter starts from rest and 2.0 s later is running at a speed of 8.0 m/s. What is the net force acting on her? What exerts this force? [ 160 N ] 11.What is the force of gravity (weight) at the earth’s surface on a) 5.0x101 kg girl b) 1.0x102 g bullet? [ 490 N; 0.98 N ] 2 June 2013 12.It takes a 50.0 N horizontal force to pull a 20.0 kg object along the ground at a constant velocity. What is the coefficient of friction? [ 0.255 ] 13.A cart with a mass of 2.0 kg is pulled across a level desk by a horizontal force of 4.0 N. If the coefficient of kinetic friction is 0.12, what is the acceleration of the cart? [0.82 m/s2 ] 14.State in your own words: Newton’s first law, Newton’s second law, Newton’s third law, the difference between mass and weight, what variables affect the force of friction on an object, what is meant by terminal velocity. 15.If it takes a human cannonball 1.8 s to exit a 1.9 m long cannon and the average net force acting on the performer is 159 N, what is the performer’s mass? [140 kg] 16.What is the distance between the Moon & Earth if the mass of the Moon is 7.34x1022 kg and the force of attraction between the two bodies is 2.00x1020 N? The mass of the Earth is 5.98x1024 kg. [ 3.83x108 m ] ENERGY & SOCIETY 17.What is the gravitational potential energy of a 230.0 g bird flying 1.000 km off the surface of the earth? [ 2256 J ] 18.What is the speed of a car, in km/h, that has a mass of 985 kg and a kinetic energy of 56,000 J? [ 38 km/h ] 19.What initial velocity is required, at the ground, so that an object will reach a maximum height of 9.00 m? (use conservation of energy equations) [ 13.3 m/s ] 20.A 1.0x103 kg car changes its velocity from 10.0 m/s to 24.0 m/s in 8.0 s. Calculate the work and power of the engine. [ 2.4 x 105 J ; 3.0x104 W ] 21.A person carries a 50.0 kg object up a flight of stairs. There are ten stairs; each step is 30.0 cm high and 30.0 cm deep. How much work is done to carry the object to the top of the stairs? [ 1.47 kJ ] ‘ 22.A roller-coaster cart (250 kg) is traveling at 5.0 m/s on the track that is 2.0x101 m above the ground. How fast is it traveling if it drops down a hill 6.0 m (it is therefore only 14 m from the ground at this point. [ 12 m/s ] 3 June 2013 23.A 170.0 g sample of a substance is heated to 120.0 °C and then plunged into 200.0 ml of water at 10.0 °C. The resulting mixture has a temperature of 12.6 °C. What is the specific heat capacity of the substance? Specific heat capacity of water = 4.18x103 J/kg·°C [1.19x102 J/kg·°C] 24.Write the nuclear reaction equations and the daughter products for each of the following: [ 219 a. radium-223 undergoing alpha decay 86] 198 [ 80] b. gold-198 undergoing beta-negative decay [ 22 c. sodium-22 undergoing beta-positive decay 10 ] [ 115] d. carbon-11 undergoing electron capture ELECTRICITY & MAGNETISM 25.Determine the equivalent resistance of the following circuits: [1.5 Ω] [2.0 Ω] 26.Analyse the following circuits by completing a VIR chart for all resistors and source. 4 June 2013 27.Use the right hand rule to sketch the direction of the magnetic field created by the current in the following conductors. 28.For each current-carrying coil, sketch the view of the magnetic field around the coil, based on the direction of current flow shown. Label the polarity (north and south) of the electromagnet. 29.Fill in the missing information for the diagrams below. (i.e. Magnetic field lines, force on the conducting wire, poles of the horseshoe magnet, direction of current in the current carrying conductor. 30.An electric device operates at 15.0 V. The device is connected to a transformer that is plugged into a 1.20x102 V energy supply and has 8.00x102 windings in the primary coil. How many windings are in the secondary coil? [ 1.00x102 ] 5 June 2013 WAVES & SOUND 31.The lower frequency sounds (4.0 – 20 kHz) emitted by dolphins probably function mainly for social communication, while higher frequencies (30-150 kHz) are probably used for echolocation. Assume 2 significant digits a. What are the periods for the range of sounds used for communication? [5.0x10-5 s to 2.5x10-4 s] b. If the speed of sound in salt water is 1.5x103 m/s, what is the range of wavelength for echolocation? [1.0x10-2 m to 5.0x10-2 m] 32.The temperature is 22.0°C and a car is honking its horn at a frequency of 4.50x102 Hz. You perceive a frequency of 5.00x102 Hz. Is the car moving towards you or away? How fast is the car traveling relative to you in km/h? [ towards ; 124 km/h ] 33.Organ pipes which are open at one end, of lengths 23.0 cm, 30.0 cm and 38.0 cm, resonate best at their fundamental frequency. If the speed of sound in air is 342 m/s, calculate the wavelength and fundamental frequency produced by each pipe. [92.0 cm, 120 cm, 152 cm, 372 Hz, 285 Hz, 225 Hz] 34.A flute is essentially an open air column. Sketch the first and fourth resonant waves that could form in a flute of length 67.5 cm. What frequencies would these waves have if the flute was played at room temperature (20°C)? [255 Hz, 1020 Hz] 6