The problem states that a bathroom scale reads a person's mass as 65 kg with a 3 percent uncertainty. We need to calculate the uncertainty in their mass in kilograms.

ArithmeticPercentageUncertaintyApproximationUnits Conversion
2025/3/14

1. Problem Description

The problem states that a bathroom scale reads a person's mass as 65 kg with a 3 percent uncertainty. We need to calculate the uncertainty in their mass in kilograms.

2. Solution Steps

The uncertainty is 3% of the measured mass, which is 65 kg. To find the uncertainty, we multiply the measured mass by the percentage uncertainty expressed as a decimal.
Uncertainty = Percentage Uncertainty * Measured Value
Uncertainty=3%65kgUncertainty = 3\% * 65 kg
Uncertainty=0.0365kgUncertainty = 0.03 * 65 kg
Uncertainty=1.95kgUncertainty = 1.95 kg
Since the options are integers, and 1.95 is close to 2, we can approximate the uncertainty to be 2 kg.

3. Final Answer

(c) 2 kg

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