UNIVERSITY OF SASKATCHEWAN Department of Physics and Engineering Physics
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1 UNIVRSITY OF SASKATCHWAN Department of Physics and nineerin Physics Physics MIDTRM TST Alternative Sittin October 009 Time: 90 minutes NAM: (Last) Please Print (Given) STUDNT NO.: LCTUR SCTION (please check): 01 B. Zulkoskey 0 Dr. K. McWilliams 03 Dr. A. Robinson C15 F. Dean INSTRUCTIONS: 1. This is a closed book exam.. The test packae includes a test paper (this document), a formula sheet, and an OMR sheet. The test paper consists of 8 paes. It is the responsibility of the student to check that the test paper is complete. 3. Only Hewlett-Packard HP 10s or HP 30s or Texas Instruments TI-30X series calculators may be used. 4. nter your name and student number on the cover of the test paper and check the appropriate box for your lecture section. Also enter your student number in the top riht-hand corner of each pae of the test paper. 5. nter your name and STUDNT NUMBR on the OMR sheet. 6. The test paper, the formula sheet and the OMR sheet must all be submitted. 7. The marked test paper will be returned. The formula sheet and the OMR sheet will NOT be returned. ONLY TH THR PART B QUSTIONS THAT YOU INDICAT WILL B MARKD PLAS INDICAT WHICH THR PART B QUSTIONS AR TO B MARKD QUSTION NUMBR TO B MARKD MAXIMUM MARKS MARKS OBTAIND A B1 10 B 10 B3 10 B4 10 TOTAL 45 continued on pae...
2 October 009 Pae PART A FOR ACH OF TH FOLLOWING QUSTIONS IN PART A, NTR TH MOST APPROPRIAT RSPONS ON TH OMR SHT. A1. The mathematical relationship between three physical quantities is iven by a b c. If the dimension of b is [ L ]/[ T] and the dimension of c is [L], which one of the followin choices is the dimension of a? (A) [L] (B) [ L] [ T] [ L] (C) [ T] [ L] (D) [T] () [ T] A. A typical influenza (H1N1) virus has a diameter of approximately 80 μm, when viewed in an electron microscope. Which one of the followin options correctly expresses this diameter in scientific notation, in metres, to sinificant fiures? (A) m (B) m (C) m (D) m () m A3. A.0-k object moves in a straiht line on a horizontal frictionless surface. The raph shows the velocity of the object as a function of time. The various equal time intervals are labeled I, II, III, IV, and V. The net force on the object always acts alon the line of motion of the object. Which section(s) of the raph correspond to a condition of zero net force? (A) V only (B) III only (C) II and IV (D) II, III, and IV () I, III, and V A4. A physics student in a hot air balloon ascends vertically. Consider the followin four forces that arise in this situation: F1 = the weiht of the hot air balloon F = the weiht of the student F3 = the force of the student pullin on the earth F4 = the force of the hot air balloon pullin on the student Which two forces form an "interaction pair that obeys Newton's third law? (A) F1 and F (B) F and F3 (C) F1 and F3 (D) F and F4 () F3 and F4 A5. Which one of the followin statements is correct concernin a situation where the net force on an object is not zero. (A) The object must have an increasin speed. (B) The object must have a decreasin speed. (C) The object must be movin in a straiht line. (D) The object must have a velocity that is not constant. () The object s acceleration must be zero. A6. Jupiter has 30 times the mass of the earth and a radius 11 times reater than that of the earth. Calculate the manitude of the ravitational field strenth at the surface of Jupiter, compared to that at the surface of the earth,. (A) (B) (C) 11 3 (D) () continued on pae 3...
3 October 009 Pae 3 A7. If a car is travellin eastward and slowin down, which one of the followin statements correctly describes the car s motion? (A) The car has a constant speed. (B) The car has a constant velocity. (C) The car s acceleration is directed eastward. (D) The car s acceleration is directed westward. () The car s velocity is directed westward. A8. Two identical balls are thrown horizontally from the roof of a buildin at the same time. Inorin air resistance, if the initial velocity of ball 1 is twice the initial velocity of ball, which one of the followin statements is true? (A) Ball 1 reaches the round first. (B) Ball reaches the round first. (C) Both balls reach the round at the same time and with the same final velocity. (D) Both balls reach the round at the same time but ball 1 has a reater final speed. () Both balls reach the round at the same time but ball has a reater final speed. A9. John and Mary leave their apartment to o to school. John walks 3 km west and then turns and walks 4 km north. Mary walks a distance of 5 km in a direction of 53 north of west directly across an open field. Both John and Mary arrive at school at the same time. Which one of the followin statements is correct concernin John s and Mary s averae speeds and averae velocities durin their walks? (A) Their averae speeds are the same, their averae velocities are not. (B) Their averae velocities are the same, their averae speeds are not. (C) Both their averae speeds and their averae velocities are the same. (D) Neither their averae speeds nor their averae velocities are the same. () The question cannot be answered without additional information. A10. A ball is thrown vertically upward. ventually it returns to the point from which it was thrown. Which one of the followin velocity versus time raphs is correct for the motion of the ball while it is in free fall? (Up has been chosen as the positive direction and air resistance is neliible.) (A) (B) (C) t t t (D) () t t A11. An object movin in a circle at a constant speed has an acceleration that is (A) in the direction of motion. (B) toward the centre of the circle. (C) away from the centre of the circle. (D) opposite to the direction of motion. () zero. continued on pae 4...
4 October 009 Pae 4 A1. The followin is a free body diaram of an object which underoes a displacement of manitude r alon the horizontal direction. Which one of the followin equations represents the total work done on the object? (A) (C) () ( T sin ) r (B) ( T cos ) r ( T cos T sin ) r (D) ( T cos f k ) r T sin f ) r ( k A13. An object is initially movin in uniform circular motion with anular speed ω 1 and radius r 1. Both the anular speed and the radius are then doubled, and the object is once aain in uniform circular motion. Which one of the followin expressions for the new radial acceleration is true? (A) r 1 1 (B) 4r 1 1 (C) 8r (D) 1 1 4r () r 1 A14. A projectile is launched at an anle above the horizontal. Inorin air resistance, what fraction of its initial kinetic enery does the projectile have at the top of its trajectory? (A) cos (B) sin (C) tan (D) cos () sin A15. A ball on the end of a strin is bein swun in a vertical circle at constant speed. Where in the ball s trajectory is the tension in the strin reatest in manitude? (A) The tension in the strin is constant throuhout the ball s motion. (B) The tension in the strin is reatest at the hihest point of the ball s motion. (C) The tension in the strin is reatest at the lowest point of the ball s motion. (D) The tension in the strin is reatest when the strin is horizontal and the ball is movin up. () The tension in the strin is reatest when the strin is horizontal and the ball is movin down. PART B ANSWR THR OF TH PART B QUSTIONS ON TH FOLLOWING PAGS AND INDICAT YOUR CHOICS ON TH COVR PAG. FOR ACH OF YOUR CHOSN PART B QUSTIONS ON TH FOLLOWING PAGS, GIV TH COMPLT SOLUTION AND NTR TH FINAL ANSWR IN TH BOX PROVIDD. TH ANSWRS MUST CONTAIN THR SIGNIFICANT FIGURS AND TH UNITS MUST B GIVN. SHOW AND XPLAIN YOUR WORK NO CRDIT WILL B GIVN FOR ANSWRS ONLY. QUATIONS NOT PROVIDD ON TH FORMULA SHT MUST B DRIVD. US TH BACK OF TH PRVIOUS PAG FOR YOUR ROUGH WORK. continued on pae 5...
5 October 009 Pae 5 B1. The broken lower le in the diaram is held immobile (stationary) by the mass and pulley system. The hanin mass is 1.55 k. The femur bone in the upper le exerts a force on the lower le in the horizontal direction. You may assume that the pulleys are ideal and that the rope is massless. 1 Free body diaram: 3 4 (a) In the space to the riht of the above diaram, draw a free body diaram of the forces actin on the lower le. Also show your choice of coordinate system. (4 marks) (b) Calculate the manitude of the weiht of the lower le. (3 marks) (c) Calculate the manitude of the force exerted by the femur on the lower le. (3 marks) continued on pae 6...
6 October 009 Pae 6 B. A 400-N kanaroo, initially crouchin at rest, exerts a constant force on the round durin the first m of a vertical jump as it straihtens its body with its feet in contact with the round. After the kanaroo s feet leave the round it rises an additional 1.80 m. You may inore any effects due to air resistance. (a) Calculate the speed of the kanaroo just after it loses contact with the round. Hint: After losin contact with the round the only force on the kanaroo is its weiht. (3 marks) (b) Calculate the constant acceleration of the kanaroo while it is still in contact with the round. (3 marks) (c) Calculate the manitude of the force that the kanaroo exerts on the round durin the first m of the vertical jump. (4 marks) continued on pae 7...
7 October 009 Pae 7 B3. A 5-k crate is at rest on a ramp that is inclined above the horizontal at an anle of (a) On the diaram above, draw all the forces actin on the crate and show your choice of coordinate system. (Air resistance can be inored.) (3 marks) (b) Calculate the manitude of the static frictional force of the ramp on the crate. (3 marks) (c) The crate is now bumped and it slides down the ramp. The coefficient of kinetic friction between the crate and the ramp is Calculate the manitude of the acceleration of the crate as it slides down the ramp. (4 marks) continued on pae 8...
8 October 009 Pae 8 B4. An asteroid of mass k has a speed of.50 km/s toward Mars when it is at a distance of m from Mars s surface. The mass of Mars is k and its radius is m. (a) Calculate the ravitational potential enery of the asteroid due to Mars when it is at a distance of m from Mars s surface. (Let the ravitational potential enery of the asteroid be zero when the asteroid is infinitely far away from Mars.) (4 marks) (b) Calculate the speed of the asteroid just before it hits Mars s surface. (6 marks) ND OF XAMINATION
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