If the weight of an object is measured as 50.0 kg with an uncertainty of 0.5 kg,

Practice Questions

Q1
If the weight of an object is measured as 50.0 kg with an uncertainty of 0.5 kg, what is the relative error?
  1. 1%
  2. 0.5%
  3. 2%
  4. 0.1%

Questions & Step-by-Step Solutions

If the weight of an object is measured as 50.0 kg with an uncertainty of 0.5 kg, what is the relative error?
  • Step 1: Identify the measured value, which is 50.0 kg.
  • Step 2: Identify the uncertainty, which is 0.5 kg.
  • Step 3: Use the formula for relative error: Relative error = (Uncertainty / Measured value) * 100.
  • Step 4: Substitute the values into the formula: Relative error = (0.5 / 50.0) * 100.
  • Step 5: Calculate the division: 0.5 divided by 50.0 equals 0.01.
  • Step 6: Multiply the result by 100: 0.01 * 100 equals 1.
  • Step 7: Conclude that the relative error is 1%.
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