1. Problem: The work done in lifting a sack of sugar with a mass of 40,000 g is 250 J. How high is it lifted? 2. Formula: Work done by lifting an object is given by $$W = mgh$$ where $W$ is work, $m$ is mass in kg, $g$ is acceleration due to gravity ($9.8\ \text{m/s}^2$), and $h$ is height in meters. 3. Convert mass to kg: $$40,000\ \text{g} = 40\ \text{kg}$$ 4. Substitute known values: $$250 = 40 \times 9.8 \times h$$ 5. Solve for $h$: $$h = \frac{250}{40 \times 9.8}$$ 6. Simplify denominator: $$h = \frac{250}{392}$$ 7. Calculate height: $$h \approx 0.637\ \text{m}$$ 8. Closest answer choice is a. 0.64 m. 9. Explanation of other choices: - b. 1.60 m is too high given the work done. - c. 6.40 m and d. 16.0 m are much higher and would require more work than 250 J. Final answer: a. 0.64 m