2003 AAPT PHYSICS OLYMPIAD - comPADRE

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9. A uniform ladder in static equilibrium leans against africtionless wall. The ladder has length L and mass M. Giventhat the angle between the ladder and floor is 30 o degrees, whatwould be the value of the coefficient of static friction (µ s )between the ladder and the ground?A) µ s≥ 1 3B) µ s≥ 2 3D) µ s≥ 1 2E) µ s≥ 3C) µ s≥ 3210. A roller coaster car moves along a track as shown. At point A, the roller coaster car ismoving with a speed of 10 m/s. If friction is negligible, about how fast would the car be movingat point B?A) 14 m/s B) 20 m/s C) 22 m/s D) 26 m/s E) 31 m/s11. A laboratory cart with a mass of m and velocity v runs headlong into a stationary springbumper and compresses the spring. If the spring has a spring constant k, what is the maximumcompression of the spring?A) v m kB)mvk2C) mv 2kD) mv k E)mv2k12. A meter stick is supported at each end by a spring scale. A heavy mass is then hung onthe meter stick so that the spring scale on the left hand side reads four times the value of thespring scale on the right hand side. If the mass of the meter stick is negligible compared to thehanging mass, how far from the right hand side is the large mass hanging?A) 25 cm B) 50 cm C) 67 cm D) 75 cm E) 80 cm<strong>2003</strong> Physics Olympiad 4
THE NEXT TWO QUESTIONS REFER TO THE FOLLOWING SCENARIOA figure skater has a moment of inertia of 4.0 kg . m 2 with her arms outstretched. If she begins aspin at 3.0 rad/s with her arms outstretched and then brings her arms in tight to her body, her rateof spin increases to 7.0 rad/s in 2.5 seconds. You may ignore friction and air resistance.13. As the skater brings her arms in tight to her body, what torque is applied to increase herspin.A) 2.7 N . m D) 9.3 N . mB) 4.0 N . m E) no torque is applied to increase her spinC) 5.3 N . m14. What is the moment of inertia of the skater with her arms tight to her body?A) 0.73 kg . m 2 B) 1.7 kg . m 2 C) 2.8 kg . m 2 D) 7.5 kg . m 2 E) 9.4 kg . m 215. Two identical spheres carry identical electric charges. If the spheres are set a distance dapart they repel one another with a force F. A third sphere, identical to the other two but initiallyuncharged is then touched to one sphere and then to the other before being removed. Whatwould be the resulting force between the original two spheres?A) 3 4 F B) 5 8 F C) 1 2 F D) 3 8 F E) 1 4 F16. A conventional electric current flows due east in a high voltage power line. What wouldbe the direction of the resulting magnetic field directly below the power line?A) north B) east C) south D) west E) up17. Two parallel metal plates 0.04 meters apart are connected to a 1.5 volt battery. Whenfully charged, each metal plate has a charge of magnitude 9.0 x 10 -4 coulombs. What is thecapacitance of the two plates?A) 1.5 x 10 -2 F B) 1.2 x 10 -3 F C) 3.0 x 10 -4 F D) 6.0 x 10 -4 F E) 9.0 x 10 -4 F18. An electron travels so that its total energy is twice its rest energy (0.511 MeV). What isthe speed of the electron?A) v= 1 2 c B) v=3 3c C) v=4 2 c D) v=8 8c E) v=9 3 c19. An alpha particle is accelerated to a velocity v in a particle accelerator by a potentialdifference of 1200 V. Which of the following potential differences would be needed to give thealpha particle twice the velocity?A) 7200 V B) 4800 V C) 4100 V D) 2400 V E) 1700 V<strong>2003</strong> Physics Olympiad 5
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2003 AAPT PHYSICS OLYMPIAD - comPADRE

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