HighFour Physics Category C: Grades 9-10 Round 8 Wednesday, April 20, 2016 The use of calculator is required. Question #1 A ray of light in air strikes a slab of glass, as shown in the figure. Calculate the angle of refraction in the glass, which has an index of refraction of 1.5. Note that n1sinθ1= n2sinθ2. Question #2 What do you call the dimensionless quantity equal to the density of a substance divided by the density of a standard substance, usually water? Question #3 How many kilograms of the helium in a balloon, if the volume is 50 m3 and the specific gravity (relative to air) is 0.14? Note that the density of air at 0°C and 1 atm pressure is 1.293 x 10-3 g/cm3. Round off your answer to 2 decimal places. Question #4 A ________________ is a motion that moves to-and-fro, usually along a straight line or along an arc of a circle. There are several examples of these motions: a raindrop striking a leaf on the tree and the leaf gyrates up and down, the ticking of a grandfather clock, the clang of a dropped piece of metal, and the twang of a guitar string. Question #5 The speed of light in a certain kind of glass is three-fifths as much as in vacuum. What is the index of refraction of the glass? Round off to 2 decimal places. HighFour Physics Category C: Grades 9-10 Round 8 Wednesday, April 20, 2016 The use of calculator is required. Question #6 Refer to the figure shown. What is the average velocity (m/s) of the train during the first 50 seconds? Question #7 What is the horizontal force (in Newton) on a bowling ball that has a mass of 227 grams, if the bowler gives it a velocity of 6.10 m/s in 0.40 s? Round off your answer to 2 decimal places. Question #8 Calculate the kinetic energy of a 25-g bullet moving at 1000 m/s. Question #9 A certain spring is 30.0 cm long when a load of 40.2 N hangs from it and 37.0 cm long when the load is 45.2 N. What is the force constant (N/m) of the spring? Round off your answer to 1 decimal place only. Question #10 How far from a converging lens of focal length of 20 cm should an object be placed in order to form an image on a screen that is 80 cm from the lens? Round off your answer to the nearest whole number. HighFour Physics Category C: Grades 9-10 Round 8 Wednesday, April 20, 2016 The use of calculator is required. Question #11 A plane is traveling toward the southwest at 320 km/hr. What is the eastward component of its velocity? Question #12 A car travels the length of a turnpike that is 440 km long in 5 hours 30 minutes. What is its average speed in km/hr? Question #13 A butterfly raises its four wings from horizontal to vertical positions; each wing is approximately rectangular, 3 cm tall by 4 cm long, of mass 0.020 g. What is the increase in potential energy (in terms of ergs)? The center of gravity of each wing is raised by 1.5 cm. Question #14 A golf ball of mass 60 g is struck by a golf club and acquires a speed of 70 m/s during the impact, which lasts for 2x10-4 s. What force (assumed constant) is exerted on the ball? Question #15 What is the maximum force of friction of a 50-kg block resting on a table, and the coefficient of static friction of 0.30? Express your answer in terms of Newton. HighFour Physics Category C: Grades 9-10 Round 8 Wednesday, April 20, 2016 The use of calculator is required. Question #16 A spring having force constant of 250 N/m is loaded with a mass of 10 kg. Find the period of vibration. Correct your answer to 2 decimal places. Question #17 A force of 200 dyne acting on a body produces an acceleration of 50 cm/s2. What is the mass of the body in grams? Question #18 What do you call compression waves of frequencies above about 20000 Hz? Question #19 Express -328°F in degree Kelvin. Question #20 Calculate the speed of light in benzene. The index of refraction for benzene is 1.50. Convert your answer to km/s and round off to the nearest whole number.