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Chapter 4 QuickCheck Questions physics FOR SCIENTISTS AND ENGINEERS a strategic approach THIRD EDITION randall d. knight © 2013 Pearson Education, Inc. QuickCheck 4.2 A car is traveling around a curve at a steady 45 mph. Is the car accelerating? A. Yes B. No © 2013 Pearson Education, Inc. Slide 4-27 QuickCheck 4.2 A car is traveling around a curve at a steady 45 mph. Is the car accelerating? A. Yes B. No © 2013 Pearson Education, Inc. Slide 4-28 QuickCheck 4.3 A car is traveling around a curve at a steady 45 mph. Which vector shows the direction of the car’s acceleration? E. The acceleration is zero. © 2013 Pearson Education, Inc. Slide 4-29 QuickCheck 4.3 A car is traveling around a curve at a steady 45 mph. Which vector shows the direction of the car’s acceleration? E. The acceleration is zero. © 2013 Pearson Education, Inc. Slide 4-30 QuickCheck 4.4 A car is slowing down as it drives over a circular hill. Which of these is the acceleration vector at the highest point? © 2013 Pearson Education, Inc. Slide 4-34 QuickCheck 4.4 A car is slowing down as it drives over a circular hill. Which of these is the acceleration vector at the highest point? Acceleration of changing speed Acceleration of changing direction © 2013 Pearson Education, Inc. Slide 4-35 QuickCheck 4.10 This is the angular velocity graph of a wheel. How many revolutions does the wheel make in the first 4 s? A. B. C. D. E. 1 2 4 6 8 © 2013 Pearson Education, Inc. Slide 4-85 QuickCheck 4.10 This is the angular velocity graph of a wheel. How many revolutions does the wheel make in the first 4 s? A. B. C. D. E. 1 2 4 6 8 © 2013 Pearson Education, Inc. = area under the angular velocity curve Slide 4-86 QuickCheck 4.11 A ball rolls around a circular track with an angular velocity of 4 rad/s. What is the period of the motion? A. 1 2 s B. 1 s C. 2 s D. E. 1 2 1 4 s s © 2013 Pearson Education, Inc. Slide 4-88 QuickCheck 4.11 A ball rolls around a circular track with an angular velocity of 4 rad/s. What is the period of the motion? A. 1 2 T s 2 B. 1 s C. 2 s D. E. 1 2 1 4 s s © 2013 Pearson Education, Inc. Slide 4-89 QuickCheck 4.12 Rasheed and Sofia are riding a merry-go-round that is spinning steadily. Sofia is twice as far from the axis as is Rasheed. Sofia’s angular velocity is ______ that of Rasheed. A. half B. the same as C. twice D. four times E. We can’t say without knowing their radii. © 2013 Pearson Education, Inc. Slide 4-95 QuickCheck 4.12 Rasheed and Sofia are riding a merry-go-round that is spinning steadily. Sofia is twice as far from the axis as is Rasheed. Sofia’s angular velocity is ______ that of Rasheed. A. half B. the same as C. twice D. four times E. We can’t say without knowing their radii. © 2013 Pearson Education, Inc. Slide 4-96 QuickCheck 4.13 Rasheed and Sofia are riding a merry-go-round that is spinning steadily. Sofia is twice as far from the axis as is Rasheed. Sofia’s speed is ______ that of Rasheed. A. half B. the same as C. twice D. four times E. We can’t say without knowing their radii. © 2013 Pearson Education, Inc. Slide 4-97 QuickCheck 4.13 Rasheed and Sofia are riding a merry-go-round that is spinning steadily. Sofia is twice as far from the axis as is Rasheed. Sofia’s speed is ______ that of Rasheed. A. half B. the same as C. twice D. four times E. We can’t say without knowing their radii. © 2013 Pearson Education, Inc. v r Slide 4-98 QuickCheck 4.14 Rasheed and Sofia are riding a merry-go-round that is spinning steadily. Sofia is twice as far from the axis as is Rasheed. Sofia’s acceleration is ______ that of Rasheed. A. half B. the same as C. twice D. four times E. We can’t say without knowing their radii. © 2013 Pearson Education, Inc. Slide 4-99 QuickCheck 4.14 Rasheed and Sofia are riding a merry-go-round that is spinning steadily. Sofia is twice as far from the axis as is Rasheed. Sofia’s acceleration is ______ that of Rasheed. A. half B. the same as C. twice D. four times E. We can’t say without knowing their radii. © 2013 Pearson Education, Inc. v2 Centripetal acceleration a 2r r Slide 4-100 QuickCheck 4.15 The fan blade is slowing down. What are the signs of ω and ? A. ω is positive and is positive. B. ω is positive and is negative. C. ω is negative and is positive. D. ω is negative and is negative. E. ω is positive and is zero. © 2013 Pearson Education, Inc. Slide 4-105 QuickCheck 4.15 The fan blade is slowing down. What are the signs of ω and ? A. ω is positive and is positive. B. ω is positive and is negative. C. ω is negative and is positive. D. ω is negative and is negative. E. ω is positive and is zero. “Slowing down” means that and have opposite signs, not that is negative © 2013 Pearson Education, Inc. Slide 4-106 QuickCheck 4.16 Starting from rest, a wheel with constant angular acceleration turns through an angle of 25 rad in a time t. Through what angle will it have turned after time 2t? A. 25 rad B. 50 rad C. 75 rad D. 100 rad E. 200 rad © 2013 Pearson Education, Inc. Slide 4-108 QuickCheck 4.16 Starting from rest, a wheel with constant angular acceleration turns through an angle of 25 rad in a time t. Through what angle will it have turned after time 2t? A. 25 rad B. 50 rad C. 75 rad D. 100 rad (t)2 E. 200 rad © 2013 Pearson Education, Inc. Slide 4-109 QuickCheck 4.17 Starting from rest, a wheel with constant angular acceleration spins up to 25 rpm in a time t. What will its angular velocity be after time 2t? A. 25 rpm B. 50 rpm C. 75 rpm D. 100 rpm E. 200 rpm © 2013 Pearson Education, Inc. Slide 4-110 QuickCheck 4.17 Starting from rest, a wheel with constant angular acceleration spins up to 25 rpm in a time t. What will its angular velocity be after time 2t? A. 25 rpm B. 50 rpm t C. 75 rpm D. 100 rpm E. 200 rpm © 2013 Pearson Education, Inc. Slide 4-111 QuickCheck 8.2 A toy car moves around a circular track at constant speed. It suddenly doubles its speed — a change of a factor of 2. As a result, the centripetal acceleration changes by a factor of A. 1/4. B. 1/2. C. No change since the radius doesn’t change. D. 2. E. 4. © 2013 Pearson Education, Inc. Slide 8-38 QuickCheck 8.2 A toy car moves around a circular track at constant speed. It suddenly doubles its speed—a change of a factor of 2. As a result, the centripetal acceleration changes by a factor of A. 1/4. B. 1/2. C. No change since the radius doesn’t change. D. 2. E. 4. © 2013 Pearson Education, Inc. Slide 8-39 QuickCheck 8.3 An ice hockey puck is tied by a string to a stake in the ice. The puck is then swung in a circle. What force or forces does the puck feel? A. B. C. D. E. A new force: the centripetal force. A new force: the centrifugal force. One or more of our familiar forces pushing outward. One or more of our familiar forces pulling inward. I have no clue. © 2013 Pearson Education, Inc. Slide 8-44 QuickCheck 8.3 An ice hockey puck is tied by a string to a stake in the ice. The puck is then swung in a circle. What force or forces does the puck feel? A. B. C. D. E. A new force: the centripetal force. A new force: the centrifugal force. One or more of our familiar forces pushing outward. One or more of our familiar forces pulling inward. I have no clue. The rules about what is or is not a force haven’t changed: 1. Force must be exerted at a point of contact (except for gravity). 2. Force must have an identifiable agent doing the pushing or pulling. 3. The net force must point in the direction of acceleration (Newton’s second law). © 2013 Pearson Education, Inc. Slide 8-45 QuickCheck 8.4 An ice hockey puck is tied by a string to a stake in the ice. The puck is then swung in a circle. What force is producing the centripetal acceleration of the puck? A. Gravity B. Air resistance C. Friction D. Normal force E. Tension in the string © 2013 Pearson Education, Inc. Slide 8-46 QuickCheck 8.4 An ice hockey puck is tied by a string to a stake in the ice. The puck is then swung in a circle. What force is producing the centripetal acceleration of the puck? A. Gravity B. Air resistance C. Friction D. Normal force E. Tension in the string © 2013 Pearson Education, Inc. Slide 8-47 QuickCheck 8.5 A car turns a corner on a banked road. Which of the diagrams could be the car’s free-body diagram? © 2013 Pearson Education, Inc. Slide 8-56 QuickCheck 8.5 A car turns a corner on a banked road. Which of the diagrams could be the car’s free-body diagram? © 2013 Pearson Education, Inc. Slide 8-57 QuickCheck 8.6 A coin sits on a turntable as the table steadily rotates ccw. The free-body diagrams below show the coin from behind, moving away from you. Which is the correct diagram? © 2013 Pearson Education, Inc. Slide 8-66 QuickCheck 8.6 A coin sits on a turntable as the table steadily rotates ccw. The free-body diagrams below show the coin from behind, moving away from you. Which is the correct diagram? © 2013 Pearson Education, Inc. Slide 8-67 QuickCheck 8.7 A coin sits on a turntable as the table steadily rotates ccw. What force or forces act in the plane of the turntable? © 2013 Pearson Education, Inc. Slide 8-68 QuickCheck 8.7 A coin sits on a turntable as the table steadily rotates ccw. What force or forces act in the plane of the turntable? © 2013 Pearson Education, Inc. Slide 8-69 QuickCheck 8.8 Two coins are on a turntable that steadily speeds up, starting from rest, with a ccw rotation. Which coin flies off the turntable first? A. Coin 1 flies off first. B. Coin 2 flies off first. C. Both coins fly off at the same time. D. We can’t say without knowing their masses. © 2013 Pearson Education, Inc. Slide 8-70 QuickCheck 8.8 Two coins are on a turntable that steadily speeds up, starting from rest, with a ccw rotation. Which coin flies off the turntable first? A. Coin 1 flies off first. B. Coin 2 flies off first. C. Both coins fly off at the same time. D. We can’t say without knowing their masses. © 2013 Pearson Education, Inc. Slide 8-71 QuickCheck 8.9 A physics textbook swings back and forth as a pendulum. Which is the correct free-body diagram when the book is at the bottom and moving to the right? © 2013 Pearson Education, Inc. Slide 8-78 QuickCheck 8.9 A physics textbook swings back and forth as a pendulum. Which is the correct free-body diagram when the book is at the bottom and moving to the right? © 2013 Pearson Education, Inc. Centripetal acceleration requires an upward force. Slide 8-79 QuickCheck 8.10 A car that’s out of gas coasts over the top of a hill at a steady 20 m/s. Assume air resistance is negligible. Which free-body diagram describes the car at this instant? © 2013 Pearson Education, Inc. Slide 8-80 QuickCheck 8.10 A car that’s out of gas coasts over the top of a hill at a steady 20 m/s. Assume air resistance is negligible. Which free-body diagram describes the car at this instant? © 2013 Pearson Education, Inc. Now the centripetal acceleration points down. Slide 8-81 QuickCheck 8.11 A roller coaster car does a loop-the-loop. Which of the free-body diagrams shows the forces on the car at the top of the loop? Rolling friction can be neglected. © 2013 Pearson Education, Inc. Slide 8-82 QuickCheck 8.11 A roller coaster car does a loop-the-loop. Which of the free-body diagrams shows the forces on the car at the top of the loop? Rolling friction can be neglected. © 2013 Pearson Education, Inc. The track is above the car, so the normal force of the track pushes down. Slide 8-83 QuickCheck 8.12 A ball rolls ccw around the inside of a horizontal pipe. The ball is fastest at the lowest point, slowest at the highest point. At the point shown, with the ball moving down, what is the direction of the net force on the ball? © 2013 Pearson Education, Inc. Slide 8-90 QuickCheck 8.12 A ball rolls ccw around the inside of a horizontal pipe. The ball is fastest at the lowest point, slowest at the highest point. At the point shown, with the ball moving down, what is the direction of the net force on the ball? © 2013 Pearson Education, Inc. Slide 8-91