Question

1. an object has a mass of 35.0 grams. on maxs balance, it weighs 34.85 grams. what is the percent error of his balance?

Explanation:

Step1: Find the absolute error

The absolute error is the absolute value of the difference between the actual value and the measured value. The actual mass is \( 35.0 \) grams and the measured mass is \( 34.85 \) grams. So, the absolute error \( E_{abs} = |35.0 - 34.85| = 0.15 \) grams.

Step2: Calculate the percent error

The formula for percent error is \( \text{Percent Error} = \frac{| \text{Actual Value} - \text{Measured Value} |}{\text{Actual Value}} \times 100\% \). Substituting the values, we get \( \text{Percent Error} = \frac{0.15}{35.0} \times 100\% \).
First, calculate \( \frac{0.15}{35.0} \approx 0.004286 \). Then multiply by \( 100\% \) to get \( 0.004286\times100\% = 0.4286\% \approx 0.43\% \).

Answer:

The percent error of Max's balance is approximately \( 0.43\% \) (or more precisely \( 0.4286\% \)).