UNIT 1 Self-qUIz K/U Knowledge/Understanding For each question, select the best answer from the four alternatives. 1. The position–time graph shown in Figure 1 depicts which of the following situations? (1.1) K/U d Position v. Time t Figure 1 (a) positive velocity, positive acceleration, negative acceleration (b) zero velocity, negative acceleration, positive acceleration (c) zero velocity, positive acceleration, negative acceleration (d) negative velocity, zero acceleration, positive motion 2. An ice hockey player set a record speed for a slap shot: 177.58 km/h. Suppose the hockey player accelerated the hockey puck through a distance of 1.25 m. What was the magnitude of the acceleration? (1.2) K/U T/I A (a) 19.7 m/s2 (b) 71.0 m/s2 (c) 973 m/s2 (d) 1260 m/s2 3. A ship sails 150.0 km [E 608 N] into Hudson Bay from Fort Severn. The ship then changes course and travels 350.0 km [N]. What is the total displacement of the ship? (1.3) K/U T/I A > (a) Dd T 5 485.7 km [E 81.128 N] > (b) Dd T 5 485.7 km [E 8.7128 N] > (c) Dd T 5 444.4 km [E 73.008 N] > (d) Dd T 5 444.4 km [E 17.018 N] 4. To cross a river with a current in the least amount of time, how should a boat point? (1.3) K/U T/I A (a) somewhat downstream (b) somewhat upstream (c) directly at the opposite shore (d) in a direction that will take the boat directly across 148 Unit 1 • Dynamics 8160_CH03_p135-157.indd 148 T/I Thinking/Investigation C Communication A Application 5. A helicopter moves in an arc so that its velocity changes from 77 km/h [S] to 77 km/h [E] in 15 s. What is the acceleration of the helicopter? (1.4) K/U T/I A (a) 1.4 m/s2 [W 458 S] (b) 2.0 m/s2 [E 458 N] (c) 5.1 m/s2 [E 458 S] (d) 5.1 m/s2 [E 458 N] 6. A ball kicked with a speed of 12.0 m/s at an angle of u above the horizontal lands at a distance of 14.47 m away from the kicker. The total vertical displacement of the ball is zero. What is the value of u? (1.5) K/U T/I A (a) 30.08 (b) 35.08 (c) 40.08 (d) 45.08 7. A ship travelling at 39.0 km/h [N] across the St. Lawrence Seaway encounters a current of 13.0 km/h [E 50.08 N]. What is the velocity of the ship with respect to the shore? (1.6) K/U T/I A (a) 48.4 km/h [E 78.18 N] (b) 48.4 km/h [E 11.98 N] (c) 49.7 km/h [E 80.38 N] (d) 49.7 km/h [E 9.78 N] 8. The block in Figure 2 remains motionless against the wall because of an applied force and the force of static friction between the block and the wall. The coefficient of static friction is mS. Which equation correctly describes the magnitude of the frictional force between the wall and the block? (2.1) K/U A m Fa Figure 2 > (a) 0 F S 0 > (b) 0 F S 0 > (c) 0 F S 0 > (d) 0 F S 0 > 5 1 0 mg 0 cos u 2 mS > 5 1 0 F a 0 sin u 2 mg2 mS > 5 1 0 F a 0 cos u 2 mg2 mS > 5 1 0 F a 0 cos u 2 mS NEL 4/26/12 9:55 AM 9. A car and driver with a combined mass of 1.5 3 103 kg experience a forward force of 7.67 3 103 N and forces of friction and drag of 7.7 3 102 N. What is the acceleration of the car and driver? (2.2) K/U T/I A (a) 4.1 m/s2 (b) 4.6 m/s2 (c) 5.1 m/s2 (d) 5.6 m/s2 10. An object is pushed horizontally at a constant velocity. What is true about the forces acting on the object? (2.2) K/U T/I (a) The force or forces acting forward are greater than the force or forces acting backward. (b) The sum of all forces is directed forward. (c) The forces acting on the object can be said to be “unbalanced.” (d) The sum of all forces is zero. 11. A winch pulls a mass of 1.75 3 103 kg up a 248 slope. Friction is negligible. What is the tension in the winch cable? (2.3) K/U T/I A (a) 7.0 3 103 N (b) 9.0 3 103 N (c) 1.6 3 104 N (d) 1.7 3 104 N 12. A force of 1.0 3 103 N moves a heavy box up a ramp with a 218 incline. The weight of the box is 1.69 3 103 N, and it moves up the ramp at a constant speed. What is the coefficient of kinetic friction between the box and the ramp? (2.4) K/U T/I A (a) 0.02 (b) 0.25 (c) 0.48 (d) 0.71 13. An object is pulled across a rough horizontal surface with an applied force of 300 N [408 below the horizontal]. The applied force is slowly rotated up toward the horizontal, decreasing the 408 angle. What will happen to the force of friction acting on the object and the acceleration? (2.4) K/U T/I (a) Both increase. (b) Both decrease. (c) Friction decreases and acceleration increases. (d) Friction increases and acceleration decreases. 14. For a frame of reference to be inertial, it must (a) undergo positive acceleration (b) undergo negative acceleration (c) change direction without changing speed (d) move in one direction with constant speed (3.1) K/U NEL 8160_CH03_p135-157.indd 149 15. An object moving in a circular path with radius 0.25 m experiences a centripetal acceleration of 2.5 m/s2. What is the frequency? (3.2) K/U T/I A (a) 0.016 Hz (b) 0.13 Hz (c) 0.25 Hz (d) 0.50 Hz 16. You are spinning two identical balls attached to strings in uniform circular motion. Ball 2 has a string that is twice as long as the string with ball 1, and the rotational speed of ball 2 is three times the rotational speed of ball 1. What is the ratio of the centripetal force of ball 2 to that of ball 1? (3.3) K/U 3 (a) 4 3 (b) 2 9 (c) 4 9 (d) 2 Indicate whether each statement is true or false. If you think the statement is false, rewrite it to make it true. 17. A straight line on a position–time graph indicates that the acceleration is zero. (1.1) K/U 18. The variables in the kinematics equation > > > 1 > > > Dd 5 viDt 1 a 1Dt2 2 are Dd , vi , and a . (1.2) K/U 2 19. The magnitude of the average velocity is always greater than or equal to the average speed in two dimensions. (1.4) K/U 20. The time of flight for a projectile fired horizontally from a given height equals the time it takes for the same projectile to fall vertically from the same height. (1.5) K/U 21. An FBD shows only the forces acting on an object or a group of objects. (2.1) K/U 22. According to Newton’s third law, the action force occurs first, causing an equal and opposite reaction force. (2.2) K/U 23. For any two materials, the coefficient of static friction is greater than or equal to the coefficient of kinetic friction. (2.4) K/U 24. For the apparent weight of a passenger in an elevator to equal zero, the elevator must accelerate upward at 9.8 m/s2. (3.1) K/U 25. The tension acting on a horizontal string swinging a ball around in a horizontal circle on a frictionless > v2 surface is F T 5 m [toward the centre of the circle]. r (3.2, 3.3) K/U 26. In a centrifuge, the walls of the test tubes provide the centripetal force. (3.4) K/U Unit 1 Self-Quiz 149 4/26/12 9:55 AM