On my honor, I have neither given nor received unauthorized aid on this examination.

Size: px

Start display at page:

Download "On my honor, I have neither given nor received unauthorized aid on this examination."

Shannon Boone
5 years ago
Views:

1 Instructor(s): iel/uric PHYSICS DEPARTENT PHY 2053 Exam 1 October 3, 2012 Name (print, last first): Signature: On my onor, I ave neiter given nor receive unautorize ai on tis examination. YOUR TEST NUBER IS THE 5-DIGIT NUBER AT THE TOP O EACH PAGE. (1) Coe your test number on your answer seet (use lines on te answer seet for te 5-igit number). Coe your name on your answer seet. DARKEN CIRCLES COPLETELY. Coe your UID number on your answer seet. (2) Print your name on tis seet an sign it also. (3) Do all scratc work anywere on tis exam tat you like. Circle your answers on te test form. At te en of te test, tis exam printout is to be turne in. No creit will be given witout bot answer seet an printout. (4) Blacken te circle of your intene answer completely, using a #2 pencil or blue or black ink. Do not make any stray marks or some answers may be counte as incorrect. (5) Te answers are roune off. Coose te closest to exact. Tere is no penalty for guessing. If you believe tat no liste answer is correct, leave te form blank. (6) Han in te answer seet separately. 1. Te mass of an object: Use g = 9.80 m/s 2 (1) is a property of an object tat specifies ow ifficult it is te cange te velocity of te object. (2) is zero if tere is no gravity present. (3) is larger for bigger objects. (4) increases wit te spee of te object. (5) increases wit te force on te object. 2. If vector A = 3ˆx 5ŷ an vector B = 2ˆx + 3ŷ, wat is te magnitue of te vector A B ivie by te magnitue of te vector A + B? Namely, wat is A B A + B? (1) 1.50 (2) 2.24 (3) 0.26 (4) 0.19 (5) If vector A = 1ˆx + 5ŷ an vector B = 2ˆx 3ŷ, wat is te magnitue of te vector A B ivie by te magnitue of te vector A + B? Namely, wat is A B A + B? (1) 2.24 (2) 1.50 (3) 0.26 (4) 0.19 (5) If vector A = 1ˆx 5ŷ an vector B = 2ˆx 3ŷ, wat is te magnitue of te vector A B ivie by te magnitue of te vector A + B? Namely, wat is A B A + B? (1) 0.26 (2) 1.50 (3) 2.24 (4) 0.19 (5) An object is release from rest at t = 0 near te surface of te Eart. How far oes it fall uring te time interval from t = 1 s to t = 3 s? Ignore air resistance. (1) 39.2 m (2) 58.8 m (3) 78.4 m (4) 19.6 m (5) 24.5 m 6. An object is release from rest at t = 0 near te surface of te Eart. How far oes it fall uring te time interval from t = 2 s to t = 4 s? Ignore air resistance. (1) 58.8 m (2) 39.2 m (3) 78.4 m (4) 19.6 m (5) 24.5 m

2 7. An object is release from rest at t = 0 near te surface of te Eart. How far oes it fall uring te time interval from t = 3 s to t = 5 s? Ignore air resistance. (1) 78.4 m (2) 39.2 m (3) 58.8 m (4) 19.6 m (5) 24.5 m 8. A beanbag is trown orizontally from a orm room winow a eigt of = 10 meters above te groun as sown in te figure. If te beanbag s velocity just before impact wit te groun is = 30 below te orizontal, at wat orizontal istance (in m) from te orm irectly below te winow from wic it was trown oes te beanbag it te groun? Ignore air resistance. Dorm (1) 34.6 (2) 23.8 (3) 16.8 (4) 42.8 (5) 10.5 groun 9. A beanbag is trown orizontally from a orm room winow a eigt of = 10 meters above te groun as sown in te figure. If te beanbag s velocity just before impact wit te groun is = 40 below te orizontal, at wat orizontal istance (in m) from te orm irectly below te winow from wic it was trown oes te beanbag it te groun? Ignore air resistance. Dorm (1) 23.8 (2) 34.6 (3) 16.8 (4) 42.8 (5) 10.5 groun 10. A beanbag is trown orizontally from a orm room winow a eigt of = 10 meters above te groun as sown in te figure. If te beanbag s velocity just before impact wit te groun is = 50 below te orizontal, at wat orizontal istance (in m) from te orm irectly below te winow from wic it was trown oes te beanbag it te groun? Ignore air resistance. Dorm (1) 16.8 (2) 34.6 (3) 23.8 (4) 42.8 (5) 10.5 groun 11. Near te surface of te Eart a projectile is fire from te top of a builing at a eigt above te groun at an angle relative to te orizontal an at a istance from te ege of te builing as sown in te figure. If = 20 an = 20 m, wat is te minimum initial spee, v 0, of te projectile suc tat it will make it off te builing an reac te groun? Ignore air resistance. v 0 builing (1) 17.5 m/s (2) 15.0 m/s (3) 14.1 m/s (4) 9.8 m/s (5) 22.5 m/s groun 12. Near te surface of te Eart a projectile is fire from te top of a builing at a eigt above te groun at an angle relative to te orizontal an at a istance from te ege of te builing as sown in te figure. If = 30 an = 20 m, wat is te minimum initial spee, v 0, of te projectile suc tat it will make it off te builing an reac te groun? Ignore air resistance. v 0 builing (1) 15.0 m/s (2) 17.5 m/s (3) 14.1 m/s (4) 9.8 m/s (5) 22.5 m/s groun

3 13. Near te surface of te Eart a projectile is fire from te top of a builing at a eigt above te groun at an angle relative to te orizontal an at a istance from te ege of te builing as sown in te figure. If = 40 an = 20 m, wat is te minimum initial spee, v 0, of te projectile suc tat it will make it off te builing an reac te groun? Ignore air resistance. v 0 builing (1) 14.1 m/s (2) 17.5 m/s (3) 15.0 m/s (4) 9.8 m/s (5) 22.5 m/s groun 14. Consier a mass = 2 kg suspene by a very ligt string from te ceiling of a railway car near te surface of te Eart. Te car as a constant acceleration as sown in te figure, causing te mass to ang at an angle wit te vertical. If te tension in te string is 20 N, wat is te acceleration (in m/s 2 ) of te railway car? (1) 2.0 (2) 11.4 (3) 17.4 (4) 1.6 (5) 12.2 a 15. Consier a mass = 2 kg suspene by a very ligt string from te ceiling of a railway car near te surface of te Eart. Te car as a constant acceleration as sown in te figure, causing te mass to ang at an angle wit te vertical. If te tension in te string is 30 N, wat is te acceleration (in m/s 2 ) of te railway car? (1) 11.4 (2) 2.0 (3) 17.4 (4) 1.6 (5) 12.2 a 16. Consier a mass = 2 kg suspene by a very ligt string from te ceiling of a railway car near te surface of te Eart. Te car as a constant acceleration as sown in te figure, causing te mass to ang at an angle wit te vertical. If te tension in te string is 40 N, wat is te acceleration (in m/s 2 ) of te railway car? (1) 17.4 (2) 2.0 (3) 11.4 (4) 1.6 (5) 12.2 a 17. A stuent is using a simple pulley to lift a crate of mass = 30 kg from rest to a eigt by pulling on te rope wit a force as sown in te figure. If te breaking strengt of te rope is 400 N, wat is te minimum time (in s) require for te stuent to aul te crate to a eigt = 20 m? (Assume tat te pulley is massless an frictionless.) (1) 3.4 (2) 5.0 (3) 14.1 (4) 2.5 (5) 16.2 rope crate groun 18. A stuent is using a simple pulley to lift a crate of mass = 35 kg from rest to a eigt by pulling on te rope wit a force as sown in te figure. If te breaking strengt of te rope is 400 N, wat is te minimum time (in s) require for te stuent to aul te crate to a eigt = 20 m? (Assume tat te pulley is massless an frictionless.) (1) 5.0 (2) 3.4 (3) 14.1 (4) 2.5 (5) 16.2 rope crate groun

4 19. A stuent is using a simple pulley to lift a crate of mass = 40 kg from rest to a eigt by pulling on te rope wit a force as sown in te figure. If te breaking strengt of te rope is 400 N, wat is te minimum time (in s) require for te stuent to aul te crate to a eigt = 20 m? (Assume tat te pulley is massless an frictionless.) (1) 14.1 (2) 3.4 (3) 5.0 (4) 2.5 (5) 16.2 rope crate groun 20. At wat eigt above te Eart s surface woul your weigt be 1/4 of wat it is at te surface of te Eart? (Note: R E is te raius of te Eart.) (1) R E (2) 2R E (3) 3R E (4) 4R E (5) R E /2 21. At wat eigt above te Eart s surface woul your weigt be 1/9 of wat it is at te surface of te Eart? (Note: R E is te raius of te Eart.) (1) 2R E (2) R E (3) 3R E (4) 4R E (5) R E /2 22. At wat eigt above te Eart s surface woul your weigt be 1/16 of wat it is at te surface of te Eart? (Note: R E is te raius of te Eart.) (1) 3R E (2) R E (3) 2R E (4) 4R E (5) R E /2 23. Wen on te groun, Ian s weigt is measure to be 650 N. Wen Ian is on an elevator near te surface of te Eart, is apparent weigt is 700 N. Wat is te net force on te system (Ian an te elevator) if teir combine mass is 1050 kg? elevator scale (1) N (2) N (3) 1,108 N (4) N (5) 2,020 N 24. Wen on te groun, Ian s weigt is measure to be 650 N. Wen Ian is on an elevator near te surface of te Eart, is apparent weigt is 710 N. Wat is te net force on te system (Ian an te elevator) if teir combine mass is 1050 kg? elevator scale (1) N (2) N (3) 1,108 N (4) N (5) 2,020 N 25. Wen on te groun, Ian s weigt is measure to be 650 N. Wen Ian is on an elevator near te surface of te Eart, is apparent weigt is 720 N. Wat is te net force on te system (Ian an te elevator) if teir combine mass is 1050 kg? elevator scale (1) 1,108 N (2) N (3) N (4) N (5) 2,020 N

5 26. A train (O -frame) is moving own te of te O-frame at spee V = 5 m/s. An observer at rest in te O -frame trows a stone straigt up wit spee v y = 4 m/s (as observe in te O -frame). Wat is te spee of te stone as measure by an observer at rest in te O-frame? y-axis O-frame O -frame V (1) 6.4 m/s (2) 7.8 m/s (3) 8.5 m/s (4) 5.0 m/s (5) 4.0 m/s 27. A train (O -frame) is moving own te of te O-frame at spee V = 6 m/s. An observer at rest in te O -frame trows a stone straigt up wit spee v y = 5 m/s (as observe in te O -frame). Wat is te spee of te stone as measure by an observer at rest in te O-frame? y-axis O-frame O -frame V (1) 7.8 m/s (2) 6.4 m/s (3) 8.5 m/s (4) 5.0 m/s (5) 4.0 m/s 28. A train (O -frame) is moving own te of te O-frame at spee V = 6 m/s. An observer at rest in te O -frame trows a stone straigt up wit spee v y = 6 m/s (as observe in te O -frame). Wat is te spee of te stone as measure by an observer at rest in te O-frame? y-axis O-frame O -frame V (1) 8.5 m/s (2) 6.4 m/s (3) 7.8 m/s (4) 5.0 m/s (5) 4.0 m/s 29. Near te surface of te Eart, a block of mass is at rest on a plane incline at angle to te orizontal. As te angle is increase, te block begins to slip wen = 35. Wat is te coefficient of static friction between te block an te surface of te plane? (1) 0.70 (2) 0.58 (3) 0.47 (4) 0.36 (5) Near te surface of te Eart, a block of mass is at rest on a plane incline at angle to te orizontal. As te angle is increase, te block begins to slip wen = 30. Wat is te coefficient of static friction between te block an te surface of te plane? (1) 0.58 (2) 0.70 (3) 0.47 (4) 0.36 (5) Near te surface of te Eart, a block of mass is at rest on a plane incline at angle to te orizontal. As te angle is increase, te block begins to slip wen = 25. Wat is te coefficient of static friction between te block an te surface of te plane? (1) 0.47 (2) 0.70 (3) 0.58 (4) 0.36 (5) A block of mass 2 = 1 kg on a orizontal surface is connecte by a cor over a massless, frictionless pulley to a secon block of mass 1 = 2 kg. If te static an kinetic coefficient of friction between te table an mass 2 are µ s = 0.5 an µ k = 0.2, respectively, wat is te magnitue of te acceleration of block 1 after te blocks are release from rest? Table 2 2 (1) 3g/5 (2) 7g/10 (3) zero (4) 2g/3 (5) 3g/4

6 33. A block of mass 2 = 1 kg on a orizontal surface is connecte by a cor over a massless, frictionless pulley to a secon block of mass 1 = 3 kg. If te static an kinetic coefficient of friction between te table an mass 2 are µ s = 0.5 an µ k = 0.2, respectively, wat is te magnitue of te acceleration of block 1 after te blocks are release from rest? Table 2 2 (1) 7g/10 (2) 3g/5 (3) zero (4) 2g/3 (5) 3g/4 34. A block of mass 2 = 2 kg on a orizontal surface is connecte by a cor over a massless, frictionless pulley to a secon block of mass 1 = 1 kg. If te static an kinetic coefficient of friction between te table an mass 2 are µ s = 0.5 an µ k = 0.2, respectively, wat is te magnitue of te acceleration of block 1 after te blocks are release from rest? Table 2 2 (1) zero (2) 3g/5 (3) 7g/10 (4) 2g/3 (5) 3g/4 35. A potter s weel rotates from rest to 240 rpm in a time of 2 secons. Assuming constant angular acceleration, ow many revolutions oes te weel make uring tis time interval? (1) 4 (2) 6 (3) 8 (4) 2 (5) A potter s weel rotates from rest to 360 rpm in a time of 2 secons. Assuming constant angular acceleration, ow many revolutions oes te weel make uring tis time interval? (1) 6 (2) 4 (3) 8 (4) 2 (5) A potter s weel rotates from rest to 480 rpm in a time of 2 secons. Assuming constant angular acceleration, ow many revolutions oes te weel make uring tis time interval? (1) 8 (2) 4 (3) 6 (4) 2 (5) Two point masses are locate on te. ass m 1 is at te origin (i.e., x = 0) an mass m 2 is at x =. If m 2 = 2m 1, at wat point on te is te net gravitational force on a test mass m from te two masses equal to zero? (1) x = 0.41 (2) x = 0.37 (3) x = 0.33 (4) x = 0.59 (5) x = Two point masses are locate on te. ass m 1 is at te origin (i.e., x = 0) an mass m 2 is at x =. If m 2 = 3m 1, at wat point on te is te net gravitational force on a test mass m from te two masses equal to zero? (1) x = 0.37 (2) x = 0.41 (3) x = 0.33 (4) x = 0.59 (5) x = Two point masses are locate on te. ass m 1 is at te origin (i.e., x = 0) an mass m 2 is at x =. If m 2 = 4m 1, at wat point on te is te net gravitational force on a test mass m from te two masses equal to zero? (1) x = 0.33 (2) x = 0.41 (3) x = 0.37 (4) x = 0.59 (5) x = 2.41

7 41. Near te surface of te eart, a conical penulum is constructe from a stone of mass connecte to a cor wit lengt L an negligible mass. Te stone is unergoing uniform circular motion in te orizontal plane as sown in te figure. If te cor makes an angle φ = 40 wit te vertical irection an te perio of te circular motion is 3 s, wat is te lengt L of te cor (in meters)? L φ (1) 2.92 (2) 5.18 (3) 8.10 (4) 1.85 (5) Near te surface of te eart, a conical penulum is constructe from a stone of mass connecte to a cor wit lengt L an negligible mass. Te stone is unergoing uniform circular motion in te orizontal plane as sown in te figure. If te cor makes an angle φ = 40 wit te vertical irection an te perio of te circular motion is 4 s, wat is te lengt L of te cor (in meters)? L φ (1) 5.18 (2) 2.92 (3) 8.10 (4) 1.85 (5) Near te surface of te eart, a conical penulum is constructe from a stone of mass connecte to a cor wit lengt L an negligible mass. Te stone is unergoing uniform circular motion in te orizontal plane as sown in te figure. If te cor makes an angle φ = 40 wit te vertical irection an te perio of te circular motion is 5 s, wat is te lengt L of te cor (in meters)? L φ (1) 8.10 (2) 2.92 (3) 5.18 (4) 1.85 (5) An elevator cable wins on a rum of raius 75.0 cm tat is connecte to a motor. If te elevator is moving own at 0.50 m/s, wat is te angular spee of te rum? (1) 0.67 ra/s (2) 0.80 ra/s (3) 0.93 ra/s (4) 0.50 ra/s (5) 0.75 ra/s 45. An elevator cable wins on a rum of raius 75.0 cm tat is connecte to a motor. If te elevator is moving own at 0.60 m/s, wat is te angular spee of te rum? (1) 0.80 ra/s (2) 0.67 ra/s (3) 0.93 ra/s (4) 0.50 ra/s (5) 0.75 ra/s 46. An elevator cable wins on a rum of raius 75.0 cm tat is connecte to a motor. If te elevator is moving own at 0.70 m/s, wat is te angular spee of te rum? (1) 0.93 ra/s (2) 0.67 ra/s (3) 0.80 ra/s (4) 0.50 ra/s (5) 0.75 ra/s 47. A igway curve as a raius of 125 m. At wat angle soul te roa be banke so tat a car traveling at 20 m/s as no tenency to ski sieways on te roa? (Hint: No tenency to ski means te frictional force is zero.) (1) 18.1 (2) 36.3 (3) 52.6 (4) 15.5 (5) 62.4

8 48. A igway curve as a raius of 125 m. At wat angle soul te roa be banke so tat a car traveling at 30 m/s as no tenency to ski sieways on te roa? (Hint: No tenency to ski means te frictional force is zero.) (1) 36.3 (2) 18.1 (3) 52.6 (4) 15.5 (5) A igway curve as a raius of 125 m. At wat angle soul te roa be banke so tat a car traveling at 40 m/s as no tenency to ski sieways on te roa? (Hint: No tenency to ski means te frictional force is zero.) (1) 52.6 (2) 18.1 (3) 36.3 (4) 15.5 (5) Near te surface of te Eart a block is release from rest 12 m above te groun. If te kinetic energy of te block is 500 J wen it its te groun, wat is te mass of te block (in kg)? (1) 4.25 (2) 5.10 (3) 6.38 (4) 3.56 (5) Near te surface of te Eart a block is release from rest 12 m above te groun. If te kinetic energy of te block is 600 J wen it its te groun, wat is te mass of te block (in kg)? (1) 5.10 (2) 4.25 (3) 6.38 (4) 3.56 (5) Near te surface of te Eart a block is release from rest 12 m above te groun. If te kinetic energy of te block is 750 J wen it its te groun, wat is te mass of te block (in kg)? (1) 6.38 (2) 4.25 (3) 5.10 (4) 3.56 (5) Ice fising equipment weiging 3,200 N is pulle at a constant spee v = 0.6 m/s across a frozen lake by means of a orizontal rope. If te coefficient of kinetic friction is 0.05, wat is te work one (in J) by te fiserman in pulling te equipment a istance of 500 m? (1) (2) (3) (4) (5) Ice fising equipment weiging 3,200 N is pulle at a constant spee v = 0.6 m/s across a frozen lake by means of a orizontal rope. If te coefficient of kinetic friction is 0.04, wat is te work one (in J) by te fiserman in pulling te equipment a istance of 500 m? (1) (2) (3) (4) (5) Ice fising equipment weiging 3,200 N is pulle at a constant spee v = 0.6 m/s across a frozen lake by means of a orizontal rope. If te coefficient of kinetic friction is 0.06, wat is te work one (in J) by te fiserman in pulling te equipment a istance of 500 m? (1) (2) (3) (4) (5) Near te surface of te Eart a block of mass is sliing own an incline wit angle 1 = 30 as sown in te figure. Initially te block is at a eigt = 2.0 m wit a spee of 12 m/s. Te block slies own te incline, across te level surface, an up an incline wit angle 2 = 45. If all te surfaces are frictionless, wat maximum eigt H will te block reac? 1 (1) 9.35 m (2) m (3) m (4) 7.35 m (5) m v 2 H

9 57. Near te surface of te Eart a block of mass is sliing own an incline wit angle 1 = 30 as sown in te figure. Initially te block is at a eigt = 3.0 m wit a spee of 12 m/s. Te block slies own te incline, across te level surface, an up an incline wit angle 2 = 45. If all te surfaces are frictionless, wat maximum eigt H will te block reac? 1 (1) m (2) 9.35 m (3) m (4) 7.35 m (5) m v 2 H 58. Near te surface of te Eart a block of mass is sliing own an incline wit angle 1 = 30 as sown in te figure. Initially te block is at a eigt = 4.0 m wit a spee of 12 m/s. Te block slies own te incline, across te level surface, an up an incline wit angle 2 = 45. If all te surfaces are frictionless, wat maximum eigt H will te block reac? 1 (1) m (2) 9.35 m (3) m (4) 7.35 m (5) m v 2 H OLLOWING GROUPS O QUESTIONS WILL BE SELECTED AS ONE GROUP RO EACH TYPE TYPE 1 Q# S 2 Q# S 3 Q# S 4 TYPE 2 Q# S 5 Q# S 6 Q# S 7 TYPE 3 Q# S 8 Q# S 9 Q# S 10 TYPE 4 Q# S 11 Q# S 12 Q# S 13 TYPE 5 Q# S 14 Q# S 15 Q# S 16 TYPE 6 Q# S 17 Q# S 18 Q# S 19 TYPE 7 Q# S 20 Q# S 21 Q# S 22 TYPE 8 Q# S 23 Q# S 24 Q# S 25 TYPE 9 Q# S 26 Q# S 27 Q# S 28 TYPE 10 Q# S 29 Q# S 30 Q# S 31 TYPE 11 Q# S 32 Q# S 33 Q# S 34 TYPE 12 Q# S 35 Q# S 36 Q# S 37 TYPE 13

10 Q# S 38 Q# S 39 Q# S 40 TYPE 14 Q# S 41 Q# S 42 Q# S 43 TYPE 15 Q# S 44 Q# S 45 Q# S 46 TYPE 16 Q# S 47 Q# S 48 Q# S 49 TYPE 17 Q# S 50 Q# S 51 Q# S 52 TYPE 18 Q# S 53 Q# S 54 Q# S 55 TYPE 19 Q# S 56 Q# S 57 Q# S 58

On my honor, I have neither given nor received unauthorized aid on this examination.

On my honor, I have neither given nor received unauthorized aid on this examination. Instructor(s): Field/Furic PHYSICS DEPARTENT PHY 2053 Exam 1 October 5, 2011 Name (print, last first): Signature: On my honor, I hae neither gien nor receied unauthorized aid on this examination. YOUR