High School

Suppose that your bathroom scale reads your mass as 67 kg with an uncertainty of 3.0 kg.

Answer :

Final answer:

The uncertainty in a mass of 65 kg with a 3% uncertainty is calculated by multiplying 65 kg by 0.03, resulting in an uncertainty of 1.95 kg.

Explanation:

If your bathroom scale reads your mass as 65 kg with a 3% uncertainty, the uncertainty in your mass can be calculated by multiplying the mass value by the percentage uncertainty. Since 3% of 65 kg is 0.03 × 65 kg, we find the uncertainty in your mass.

To calculate the uncertainty:

  • Multiply the mass by the percent uncertainty (expressed as a decimal).
  • 65 kg × 0.03 = 1.95 kg

Therefore, the uncertainty in your mass is 1.95 kg.

Complete Question :

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