1d32004test1-solutions

1d32004test1-solutions - PHYSICS 1D03 TEST #1 October 12,...

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Unformatted text preview: PHYSICS 1D03 TEST #1 October 12, 2004 Name: L "- Instructors: email ID: @mcmasterca A. J opko (section C01) N. McKay {sections C02. C03) Student Number: D. Venus (section C04) K. Sills (section C05) Instructor: Lecture Section: Write your nmne and student number on your paper before you begin. Multiple-choice questions are worth. 2 marks each (only the answer is marl-ted}, and problems are worth 3 marks each (clear solutions required). Only the Mob/taster standard calculator (Casio git-991 ) is allowed. Notes and formula sheets are not pmmitted. Some formulae are given on a formula sheer. attached to the end of the pupa; if you use them it is your responsibility to know what they mean and when they can he used 1—9 10 (13} (3) continued on page 2... Page 2 of 7 pages Part A (multiple choice): Print the letter corresponding to the best or most nearly correct answer in the box below each question. Each correct answer is worth 2 marks. 1. An object moves such that its position varies as a function of time as shown in the following graph: The acceleration of the object x a) is positive. b) is me ative c an tive to ositive changes from positive to negative. 11me C I t 2. A cart is measured to travel a distance of 15.0 m +i- 1.6 m in a time of 5.0 s +r‘- 0.5 5. What was its average velocity? a] 3.0 +i- 2. mJ's c) 3.0 +f- 0.2 [NS (1) 3.0 +.-"- 0.02 Ill/S B 3. Two balls are thrown vertically upward. The first ball has an initial speed twice as large as the second ball. The ball with the greater initial speed will reach a maximum height of a) fi' estha ofth therball. ' b) I‘m] -- -- final 44; J “’L 7Lm'cz Rt? “04"? aid—J ll‘ J'Il" I- ' d) 8 times that of the other ball. answer 4. A ladybug is on a turntable which turns at a constant angular velocity. The ladybug walks wnh a constant speed directly toward the center of the turntable. The graph which best represents the bug’s acceleration as a function of time is a a a a a) j b) t c) l f (fit I t I t t 5. An automobile that is towing a trailer is accelerating up a hill. The magnitude of the force that the automobile exerts on the trailer is: at) equal to the magnitude of the force that the trailer exerts on the automobile b) greater than the magnitude of the force that the trailer exerts on the automobile )4 c) equal to the magnitude of the force that the trailer exerts on the road 7\ d) equal to the magnitude of the force that the road exerts on the trailer. )L answer A i I Page 3 of? pages 6. A 51 kg carton is initially at rest on a level floor. Ahorizontal force of 150 N is applied to the carton. The coefficient of Static friction is 0.50 and the coefficient of kinetic friction is 0.40. The magnitude of the frictional force acting on the carton is: ' a) 300 N b} 250 N C? . I/l/Lél’L : 3 w are -mu'*~wfi 7. Two blocks with masses M and in (where M>III) are in contact and slide along a frictionless surface, as illustrated. The force F has the same magnitude in both cases. d) depends on whether the force of'M on m, or of m on M is required. 8 8. If the angular position of a point on a wheel is given by the function on) = 30 + 101; - 4.9 t2 radians. which statement best describes the motion of that wheel? (13%;? ular velocity of the w ‘ decreasin at a constant rate. c) The wheel is being accelerated from rest at tune I d) None of the above. answer B 9. A ball on a string is being swung in a vertical circle. If the string breaks when the ball reaches the top of the circle, which of the following diagrams best represent the path the ball will follow? I a}/\ b) Page 4 of? pages Part B (Problem): Write a clear solution showing how the answer is obtained. Each problem is worth 3 marks. Part marks are awarded. 10. A ball is thrown off of a tall cliff at a height of 10 m and an angle of 30 degrees above the horizontal. If the ball lands 10 m horizontally from the bottom of the cliff. what was the initial 0H?” *?L 1M* Pad-i. 7" imiw/ A 7:: )0.“ :64, @300) {I Ed'- Page 5 of '2 pages 11. A 1200 kg car drives around a bend in a road that forms part ofa circle. The road is banked at an angle of 25 degrees with the horizontal and the car travels at 100 kmlhr. Ifthe car travels any faster. it will slip. Assume that the coefficient of static friction is 0.9 between the road and the car. Draw the free body diagram of the car here. Identify the direction of acceleration of the car and label a set of appropriate orthogonal axes on the free body diagram. Use Newton‘s second law to find equations for those two orthogonal axes: in the y direction: _ 9; XFy=may9 fl—Wj‘me ' “a e In thexdirection: 1: M Q. Cue—.3 9 Zszmax-) Q *fl “3 we Identify all known and unknown quantities in the above equations and list them in the following table: List any other equations that are necessary to allow the above equations to be solved algebraically (Le. such that the number of equations equals the number of unknown variables). Do n_ot solve the equations! W’fi 9167»? [2715“) I Mflszwfl 7rl'f Page 5 of? pages 11. A 1200 kg car drives around a bend in a road that forms part of a circle. The road is banked at an angle of 25 degrees with the horizontal and the car travels at 100 kanfltr. If the car travels any faster, it will slip. Assume that the coefficient of static friction is 0.9 between the road and the car. Draw the free body diagram of the car here. Identify the direction of acceleration of the car and label a set of appropriate orthogonal axes on the free body diagram. Use Newton’s second law to find equations for those two orthogonal axes: In the y direction: a _. ,____ EFy=may-) WWBFC‘; 6 Mj O In the x direction ' .— ‘ 4- K Sr“- 9 ' EFX = max 9 Ce ‘1“ 43‘ Identify all known and unknown quantities in the above equations and list them in the follmving table: List any other equations that are necessary to allow the above equations to be solved algebraically (Le. such that the number of equations equals the number of unknown variables). Do n_ot solve the equations! QEJ icp €"’L‘P'- Q" /"s"‘ , fig: 0'7 Page 6 of 1' pages 12. A rope is used to drag 115 kg block along a horizontal surface. The rope makes an angle of 9 = 15 degrees above the horizontal. as in the illustration. Ifthe coefficient of kinetic friction is 0.45, what is the force required to drag the black constant speed? Page 1’ of? pages 13. A space ship starts from rest at the space station. and fires its forward thrusters to give an acceleration of a = 3 r' mas2 for 5 seconds. Then it turns off the forward thrusters and fires the side thrusters to give an acceleration of a = 2j W31 for 6 seconds. At the end of this 11 seconds. a) sketch the path the spaceship has traveled. b) what is the velocity of the spaceship expressed in terms of the unit vectors :1 and j? c) how far from the. Space station is the Spaceship? Draw the path traveled by the spacecraft here: THEEND "Lane ...
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This note was uploaded on 02/05/2010 for the course PHYSICS 1D03 taught by Professor N. mckay during the Spring '08 term at McMaster University.

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1d32004test1-solutions - PHYSICS 1D03 TEST #1 October 12,...

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