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Development of Force Concept Quiz

12 questions physics Grades 9-12

The question sheet

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  1. Car X drives around the track at what speed on the curves?

    • 2vc
    • d/4
    • zero
    • vc
    Reveal answer

    Answer: vc

    Source evidence

    PDF page 221: The figure above represents a racetrack with semicircular sections connected by straight sections. Each section has length d, and markers along the track are spaced d/4 apart. Two people drive cars counterclockwise around the track, as shown. Car X goes around the curves at constant speed vc, increases speed at constant acceleration for half of each straight section to reach a maximum speed of 2vc, then brakes at constant acceleration for the other half of each straight section to return to speed vc. Car Y also goes around the curves at constant speed vc, increases its speed at constant acceleration for one-fourth of each straight section to reach the same maximum speed 2vc, stays at that speed for half of each straight section, then brakes at constant acceleration for the remaining fourth of each straight section to return to speed vc.

  2. What is Car X's maximum speed on the straight sections?

    • vc
    • 4vc
    • d
    • 2vc
    Reveal answer

    Answer: 2vc

    Source evidence

    PDF page 221: The figure above represents a racetrack with semicircular sections connected by straight sections. Each section has length d, and markers along the track are spaced d/4 apart. Two people drive cars counterclockwise around the track, as shown. Car X goes around the curves at constant speed vc, increases speed at constant acceleration for half of each straight section to reach a maximum speed of 2vc, then brakes at constant acceleration for the other half of each straight section to return to speed vc. Car Y also goes around the curves at constant speed vc, increases its speed at constant acceleration for one-fourth of each straight section to reach the same maximum speed 2vc, stays at that speed for half of each straight section, then brakes at constant acceleration for the remaining fourth of each straight section to return to speed vc.

  3. For what fraction of each straight section does Car X accelerate at constant acceleration?

    • One-third
    • All
    • Half
    • One-fourth
    Reveal answer

    Answer: Half

    Source evidence

    PDF page 221: The figure above represents a racetrack with semicircular sections connected by straight sections. Each section has length d, and markers along the track are spaced d/4 apart. Two people drive cars counterclockwise around the track, as shown. Car X goes around the curves at constant speed vc, increases speed at constant acceleration for half of each straight section to reach a maximum speed of 2vc, then brakes at constant acceleration for the other half of each straight section to return to speed vc. Car Y also goes around the curves at constant speed vc, increases its speed at constant acceleration for one-fourth of each straight section to reach the same maximum speed 2vc, stays at that speed for half of each straight section, then brakes at constant acceleration for the remaining fourth of each straight section to return to speed vc.

  4. Car Y accelerates over what fraction of each straight section?

    • One-half
    • Three-fourths
    • One-fourth
    • One-third
    Reveal answer

    Answer: One-fourth

    Source evidence

    PDF page 221: The figure above represents a racetrack with semicircular sections connected by straight sections. Each section has length d, and markers along the track are spaced d/4 apart. Two people drive cars counterclockwise around the track, as shown. Car X goes around the curves at constant speed vc, increases speed at constant acceleration for half of each straight section to reach a maximum speed of 2vc, then brakes at constant acceleration for the other half of each straight section to return to speed vc. Car Y also goes around the curves at constant speed vc, increases its speed at constant acceleration for one-fourth of each straight section to reach the same maximum speed 2vc, stays at that speed for half of each straight section, then brakes at constant acceleration for the remaining fourth of each straight section to return to speed vc.

  5. After reaching maximum speed, Car Y stays at that speed for what fraction of the straight?

    • All
    • One-third
    • One-fourth
    • One-half
    Reveal answer

    Answer: One-half

    Source evidence

    PDF page 221: The figure above represents a racetrack with semicircular sections connected by straight sections. Each section has length d, and markers along the track are spaced d/4 apart. Two people drive cars counterclockwise around the track, as shown. Car X goes around the curves at constant speed vc, increases speed at constant acceleration for half of each straight section to reach a maximum speed of 2vc, then brakes at constant acceleration for the other half of each straight section to return to speed vc. Car Y also goes around the curves at constant speed vc, increases its speed at constant acceleration for one-fourth of each straight section to reach the same maximum speed 2vc, stays at that speed for half of each straight section, then brakes at constant acceleration for the remaining fourth of each straight section to return to speed vc.

  6. Both cars drive around the track in which direction?

    • Clockwise
    • Alternating
    • Counterclockwise
    • Randomly
    Reveal answer

    Answer: Counterclockwise

    Source evidence

    PDF page 221: The figure above represents a racetrack with semicircular sections connected by straight sections. Each section has length d, and markers along the track are spaced d/4 apart. Two people drive cars counterclockwise around the track, as shown. Car X goes around the curves at constant speed vc, increases speed at constant acceleration for half of each straight section to reach a maximum speed of 2vc, then brakes at constant acceleration for the other half of each straight section to return to speed vc. Car Y also goes around the curves at constant speed vc, increases its speed at constant acceleration for one-fourth of each straight section to reach the same maximum speed 2vc, stays at that speed for half of each straight section, then brakes at constant acceleration for the remaining fourth of each straight section to return to speed vc.

  7. The racetrack's semicircular sections are connected by what?

    • Ramps
    • Hills
    • Other curves
    • Straight sections
    Reveal answer

    Answer: Straight sections

    Source evidence

    PDF page 221: The figure above represents a racetrack with semicircular sections connected by straight sections. Each section has length d, and markers along the track are spaced d/4 apart. Two people drive cars counterclockwise around the track, as shown. Car X goes around the curves at constant speed vc, increases speed at constant acceleration for half of each straight section to reach a maximum speed of 2vc, then brakes at constant acceleration for the other half of each straight section to return to speed vc. Car Y also goes around the curves at constant speed vc, increases its speed at constant acceleration for one-fourth of each straight section to reach the same maximum speed 2vc, stays at that speed for half of each straight section, then brakes at constant acceleration for the remaining fourth of each straight section to return to speed vc.

  8. Each section of the track has what length?

    • vc
    • d/4
    • d
    • 2d
    Reveal answer

    Answer: d

    Source evidence

    PDF page 221: The figure above represents a racetrack with semicircular sections connected by straight sections. Each section has length d, and markers along the track are spaced d/4 apart. Two people drive cars counterclockwise around the track, as shown. Car X goes around the curves at constant speed vc, increases speed at constant acceleration for half of each straight section to reach a maximum speed of 2vc, then brakes at constant acceleration for the other half of each straight section to return to speed vc. Car Y also goes around the curves at constant speed vc, increases its speed at constant acceleration for one-fourth of each straight section to reach the same maximum speed 2vc, stays at that speed for half of each straight section, then brakes at constant acceleration for the remaining fourth of each straight section to return to speed vc.

  9. The markers along the track are spaced how far apart?

    • d
    • d/2
    • 2d
    • d/4
    Reveal answer

    Answer: d/4

    Source evidence

    PDF page 221: The figure above represents a racetrack with semicircular sections connected by straight sections. Each section has length d, and markers along the track are spaced d/4 apart. Two people drive cars counterclockwise around the track, as shown. Car X goes around the curves at constant speed vc, increases speed at constant acceleration for half of each straight section to reach a maximum speed of 2vc, then brakes at constant acceleration for the other half of each straight section to return to speed vc. Car Y also goes around the curves at constant speed vc, increases its speed at constant acceleration for one-fourth of each straight section to reach the same maximum speed 2vc, stays at that speed for half of each straight section, then brakes at constant acceleration for the remaining fourth of each straight section to return to speed vc.

  10. If the net force is zero at a position, how should the dot be labeled?

    • With 0
    • With an arrow
    • With X
    • Left blank
    Reveal answer

    Answer: With 0

    Source evidence

    PDF page 221: direction of the net force on each of the cars at the positions noted by the dots. If the net force is zero at any position, label the dot with 0.

  11. On the figures, students draw an arrow showing the direction of what on each car?

    • Net force
    • Displacement
    • Acceleration only
    • Velocity
    Reveal answer

    Answer: Net force

    Source evidence

    PDF page 221: (a) On the figures below, draw an arrow showing the

    PDF page 221: direction of the net force on each of the cars at the positions noted by the dots. If the net force is zero at any position, label the dot with 0.

  12. Part (b) asks students to indicate which car, if either, completes one trip in what way?

    • Fewer laps
    • Higher speed
    • Less time
    • More fuel
    Reveal answer

    Answer: Less time

    Source evidence

    PDF page 221: around the track in less time, and justify your answer qualitatively without using equations. ii. Justify your answer about which car, if either, completes one trip around the track in less time quantitatively with appropriate equations.

    PDF page 221: i. Indicate which car, if either, completes one trip

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