Question

suppose that your bathroom scale reads your mass as 67 kg with a 3.0% uncertainty. what is the uncertainty in your mass?

Answer 1

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.

Step-by-step 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.