High School

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

Answer :

Final answer:

The uncertainty in a mass measurement of 67 kg with a 3% uncertainty is 2.01 kg, which is typically rounded to 2.0 kg when expressed with two significant digits.

Explanation:

The question asks us to calculate the uncertainty in a mass measurement with a 3% uncertainty. When a bathroom scale reads your mass as 67 kg with a 3% uncertainty, we need to calculate 3% of 67 kg to find the uncertainty in kilograms. The calculation for the uncertainty is as follows: 0.03 × 67 kg = 2.01 kg. Therefore, the uncertainty in your mass is 2.01 kg. It's important to note that when expressing this value with two significant digits, it becomes 2.0 kg.