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AP · AP C:M · extended response

Reading an accelerating lift's force sensor

AP Physics C: Mechanics · Original GioPhysics question with a detailed, mark-by-mark answer guide.

Demand
discriminating
Marks
6
Topics
1
Answer
Complete
Explore the question data

Scale reading during lift phases

Supplied question data. Read the labelled axes and use the observations to test the physical model.

Vertical axis (y): Upward normal force / N

Scale reading during lift phasesSupplied question data. Read the labelled axes and use the observations to test the physical model. Horizontal axis: Phase. Vertical axis: Upward normal force / N. Exact values are available in the data table below.018036054072000.751.52.253xy

Horizontal axis (x): Phase

Reading 1Phase: 1Upward normal force / N: 720
Read the exact data as a table
Scale reading during lift phases — supplied values
PhaseUpward normal force / N
1720
2600
3480

These are the supplied values, not a worked answer. No fitted trend is drawn.

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extended response6 marks

A 60 kg student stands on a scale in a lift. Use g = 10 N kg⁻¹. The graph gives the upward scale force during three separate constant-force phases. Initially the lift is stationary; ignore the short transitions between phases. Supplied data (Phase; Upward normal force / N): (1, 720), (2, 600), (3, 480).

  1. (a)

    Draw or describe the student's free-body diagram and find acceleration in each phase. Identify which forces form a Newton's-third-law pair.

    3 marks
  2. (b)

    Phase 1 lasts 2 s, phase 2 lasts 3 s and phase 3 lasts 2 s. Find total height gained and explain the 600 N reading while the lift moves.

    3 marks
Ready to self-mark?Reveal the detailed answer guide
Answer overview(a) Accelerations: +2.0, 0, −2.0 m s⁻². The scale-on-student and student-on-scale forces form a third-law pair. (b) Height gained = 20 m; a 600 N reading is consistent with upward constant velocity.
01

(a)

3 marks

Draw or describe the student's free-body diagram and find acceleration in each phase. Identify which forces form a Newton's-third-law pair.

How to approach it

Build a chain of claim, evidence and physics reasoning. Address more than one relevant factor, identify a limitation or assumption, and finish with a conclusion that is conditional on the evidence rather than absolute.

  1. 1

    The student experiences weight mg = 600 N downward and normal force N upward. There is no additional force called acceleration.

  2. 2

    Taking upward positive, N−600 = 60a gives accelerations +2.0, 0 and −2.0 m s⁻².

  3. 3

    Weight and normal act on the same body and are not a third-law pair. Each has a partner on a different body.

02

(b)

3 marks

Phase 1 lasts 2 s, phase 2 lasts 3 s and phase 3 lasts 2 s. Find total height gained and explain the 600 N reading while the lift moves.

How to approach it

Build a chain of claim, evidence and physics reasoning. Address more than one relevant factor, identify a limitation or assumption, and finish with a conclusion that is conditional on the evidence rather than absolute.

  1. 1

    Phase 1 ends at 4 m s⁻¹ and gains ½(2)(2²) = 4 m. Phase 2 gains (4)(3) = 12 m.

  2. 2

    Phase 3 slows from 4 to 0 m s⁻¹ in 2 s and gains 4 m, so total rise is 20 m.

  3. 3

    Zero resultant means constant velocity, which may be nonzero. Balanced forces do not require the lift to be stationary.

Complete marking guidance

Use these worked steps alongside the part-by-part answers. They explain the method and mark allocation; they do not add extra marks.

  1. The student experiences weight mg = 600 N downward and normal force N upward. There is no additional force called acceleration.
  2. Taking upward positive, N−600 = 60a gives accelerations +2.0, 0 and −2.0 m s⁻².
  3. Weight and normal act on the same body and are not a third-law pair. Each has a partner on a different body.
  4. Phase 1 ends at 4 m s⁻¹ and gains ½(2)(2²) = 4 m. Phase 2 gains (4)(3) = 12 m.
  5. Phase 3 slows from 4 to 0 m s⁻¹ in 2 s and gains 4 m, so total rise is 20 m.
  6. Zero resultant means constant velocity, which may be nonzero. Balanced forces do not require the lift to be stationary.

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