If two children each lift a bag of mangoes to a height of 1 meter, and one child lifts a 2 kg bag while the other lifts a 3 kg bag, who does more work and why?
Answer
The child lifting the 3 kg bag does more work because work is proportional to weight.
The correct answer is The child lifting the 3 kg bag does more work because work is proportional to weight. — Since weight is larger, the product of weight and height is larger, so more work is done.
Step-by-step solution
- Recall that work is the product of weight (force) and height moved.
- Both children lift to the same height of 1 meter.
- The 3 kg bag has a greater weight than the 2 kg bag.
- Since weight is larger, the product of weight and height is larger, so more work is done.
Common mistake: Assuming the same work because height is equal
Concept tested: Work proportional to weight
Published · How this solution was prepared and checked
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