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Answer :
Final answer:
To calculate the uncertainty in your mass when your scale shows 65 kg with a 3% uncertainty, multiply the mass by the percentage uncertainty: 65 kg × 0.03 = 1.95 kg. Therefore, your uncertainty in mass is 1.95 kg.
Explanation:
When your bathroom scale reads your mass as 65 kg with a 3% uncertainty, we are dealing with a situation where precision of measurement comes into play. To find the uncertainty in your mass, you simply multiply the mass by the percentage uncertainty (expressed as a decimal).
Here is the calculation
- Mass = 65 kg
- Percentage Uncertainty = 3%
- Decimal Uncertainty = 3/100 = 0.03
- Uncertainty in Mass = Mass × Decimal Uncertainty
- Uncertainty in Mass = 65 kg × 0.03
- Uncertainty in Mass = 1.95 kg
Therefore, the uncertainty in your mass is 1.95 kg.
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