Development of Force Concept Quiz
The question sheet
Reveal any answer as you study-
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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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
AP College Physics
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