Which requires more work: lifting a 50-kg sack vertically 2 m or lifting a 25-kg sack vertically 4 m?

Question

Quizplus · Accepted Answer

The work done in both cases is the same because work is calculated as force times distance. For the 50-kg sack lifted 2 m, the work is $50 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 2 \, \text{m} = 980 \, \text{J}$. For the 25-kg sack lifted 4 m, the work is $25 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 4 \, \text{m} = 980 \, \text{J}$. Therefore, both require the same amount of work.

Which Requires More Work: Lifting a 50-Kg Sack Vertically 2