King Abdulaziz University Faculty of Sciences Physics Department Second Term 1432-1433 H Date: 13/ 4 / 1433H First Exam - Phys 110 Name: ID No: B Section: CHOOSE THE CORRECT ANSWER 1. If a = 2iˆ + 2 jˆ and b = iˆ + 3kˆ ,then a × b = a) 2iˆ − 6 jˆ − 2kˆ b) 6iˆ − 2 jˆ − 6kˆ c) 2iˆ − jˆ − 6kˆ d) 6iˆ − 6 jˆ − 2kˆ 2. Convert 5.86 x 106 cm to km a) 58.6 km b) 5.86 km c) 586 km d) 0.586 km 3. An object is thrown straight up from ground level and reached its highest point after 3.4 s . Its initial velocity is: a) 33.32 m/s b) 35.3 m/s c) 43.31 m/s d) 30.32 m/s 4. A car moved a distance of 215 km ,in a direction making an angle of 220 east of north . How far east and north has the car moved? a) 91 km east, and 188 km north b) 81 km east, and 199 km north c) 188 km east, and 91 km north d) 199 km east, and 81km north 5. In the following sentences, which one is wrong? wrong " the free fall acceleration ......." a) b) c) d) is equal to zero at the highest point. is the same for all objects. has a magnitude of 9.8 m/ss. is the same during ascent and descent. 6. A particle enters a region with a speed of 4 x 106 m/s and then slowed at the rate of -1.5 x 1012 m/s2 . The distance the particle takes to stop is a) 5.33 m b) 0.15 m c) 2 m d) 0.2 m Sample B Page 1 7. A particle's position on x-axis is: x (t ) = 13 − 24t + 2t 3 with x in meters and t in seconds. Its acceleration at t = 5 s is: is a) 52 m/s2 b) 36 m/s2 c) 60 m/s2 d) 12 m/s2 Use the following to answer questions 8-9: A particle moves from y1 = - 5 m to y2 = - 2 m 8. The direction of the displacement is: a) left b) right c) up d) down 9. The magnitude of the displacement is: a) 7 m b) -7 m c) -3 m d) 3 m 10. For the following two vectors: A = 2iˆ + 3 jˆ , a) zero b) 5 c) 12 B = −3iˆ + 2 jˆ . Find A ⋅ 2B d) 6 11. Here are three vectors in meters d 1 = 3iˆ − 3 jˆ , d 2 = iˆ − jˆ ,and d 3 = 2iˆ − 4 jˆ . d1 ⋅ d 2 + d 3 What is the result of ( ) a) 24 m b) 14 m c) 4 m d) 34 m 12. A car can go from zero to 32 m/s in 16 s. The average acceleration of the car is: a) 4 m/s2 b) 7 m/s2 c) 3 m/s2 d) 2 m/s2 13. The conversion factor used to convert a volume of 64 cm3 to SI units is a) 1m 102 cm b) 1m 3 106 cm 3 c) 106 cm 3 1m 3 d) 102 cm 1m 14. If a = ax iˆ + ay jˆ + az kˆ , the quantities ( ax , a y , az ) are called: a) vector components b) unit vectors c) scalar components d) vector sum Sample B Page 2 15. A change from an initial position to a final position is called: a) velocity b) acceleration c) speed d) displacement 16. A particle's position on x-axis is: x (t ) = seconds. Its position at t = 3 s is 2 4 − + 9 with x in meters and t in t2 t a) 6.87 m b) 10.34 m c) 9.37 m d) 7.89 m Use the following to answer questions 17-18: Two vectors: A = 3iˆ + 2 jˆ and C = 5iˆ 17. The angle between vector A and vector C is: a) 1370 b) 37.30 c) 33.70 d) 1300 18. The angle between vector A and the x axis is: a) 30.90 b) 56.30 c) 33.70 d) 21.80 19. If a = 4iˆ − 3 jˆ and b = 6iˆ − 8 jˆ ,then the magnitude of b − a = a) 14.87 b) 18.9 c) 5.4 d) 12.5 20. How many seconds are in 36 days a) 31.104 x 104 s b) 31.104 x 105 s c) 31.104 x 102 s d) 31.104 x 106 s Use the following to answer questions 21-22: Two vectors, C , and D , have magnitudes C = 16m ,and D = 78m 21. If the vectors are anti-parallel( has a magnitude = ), Their vector sum a) 94 m b) 80 m c) 0 d) 62 m 22. If the vectors are perpendicular, perpendicular their vector sum has a magnitude = a) 0 b) 62 m c) 80 m d) 94 m Sample B Page 3 23. From the figure, the angle that vector a makes with the +x axis (counterclockwise)is: a) 1500 b) 300 c) 1200 d) 2100 24. In the diagram, the magnitude of A = 12m , the magnitude of B = 10m and the magnitude of C = 6m . The x component of A + B + C = a) 11 m b) 28 m c) 23 m d) 17 m 25. In which figure of the following C is the vector sum? a) c) b) d) Sample B Page 4 26. Electric power of magnitude 2.17 x 109 watts equals: a) 2.17 megawatts b) 2.17nanowatts c) 2.17 gigawatts d) 2.17 kilowatts 27. If A = 44 units, B = 16 units, and the angle φ=30°, then the vector product C = A × B is a) b) c) d) C C C C = 532 units, parallel to A and B = 352 units, parallel to A and B = 352 units, perpendicular to A and B = 532 units, perpendicular to A and B 28. The density of silver is 10.49 g/cm3 , its density in kg/m3 equals: a) 10.49 x 10-6 kg/m3 b) 10.49 x 106 kg/m3 c) 10.49 x 103 kg/m3 d) 10.49 x 10-3 kg/m3 29. An apple fell from a 19.6 m tree, how long did it take to reach the ground level? a) 4 s b) 9.8 s c) 2 s d) 4.9 s 30. If A = 3iˆ − 3 jˆ , B = iˆ − 2 jˆ ,and C = 5iˆ − 12 jˆ then A − 2B + C = a) iˆ + jˆ b) 6iˆ − 11 jˆ c) 9iˆ + 17 jˆ d) 8iˆ − 17 jˆ 31. A man drives a truck from a gasoline station a long a straight road for 11.2 km in 0.23 h , then he returns back to the station in 45 min , his average speed and average velocity , respectively, respectively are : a) savg = 12.7 km/h , vavg = 0 b) savg = 0 , vavg = 12.7 km/h c) savg = 0 , vavg = 22.86 km/h d) savg = 22.86 km/h , vavg = 0 32. The speed of a particle moving with instantaneous velocity of - 15 m/s is: a) 10 m/s b) 5 m/s c) 12 m/s d) 15 m/s Sample B Page 5 2 C 33. If C = 35iˆ + 21 jˆ − 14kˆ , then = 7 a) 5iˆ + 3 jˆ − 2kˆ b) 10iˆ + 3 jˆ − 4kˆ Sample B c) 10iˆ + 6 jˆ − 4kˆ Page 6 d) 6iˆ + 6 jˆ − 10kˆ Answer Key 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. d a a b a a c c d a a d b c d d c c c b d c d a c c c c c b d d c Sample B Page 7
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