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Separating Zero Error From Scale Error 5 questions

Separating Zero Error From Scale Error

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A class tests two balances by weighing four references. Each point shows a known reference mass and the mass displayed by one balance. Between the marked points the class uses the straight-line models shown. Both balances display 22 g for the same 20 g reference.

For reference masses 0, 10, 20, and 30 g, Balance A displays 2, 12, 22, and 32 g. Balance B displays 0, 11, 22, and 33 g. The accurate line displays the reference mass.
Calibration records for the two balances.
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Question 1

Which recorded observation distinguishes the two balances at the lightest reference?

  1. A reads 2 g and B reads 0 g.
  2. A reads 0 g and B reads 2 g.
  3. Both read 2 g.
  4. Both read 0 g.

Question 2

Compare how much each display increases when the reference changes from 10 g to 30 g. Show the two differences.

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The class can subtract a constant from every displayed mass as a zero adjustment. It cannot change how much the display increases for a given increase in the reference mass.

Question 3

Which balance can the class correct over the plotted range using only a zero adjustment? Explain using two points or differences from the graph.

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Question 4

Suppose a student subtracts 2 g from every B reading because that fixes the 20 g point. Calculate the corrected reading at 30 g and state the remaining error.

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Question 5

Explain why a calibration check should use more than one reference mass. Use the two records as evidence.

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