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

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ityeoboy1943 ityeoboy1943

18-08-2022
Physics

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

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Eduard22sly Eduard22sly · Answer 1 · 2022-08-30T14:42:12+02:00

Lifting a 50-kg sack through a vertical distance of 2 m requires same amount of work as lifting a 25-kg sack through a vertical distance of 4 m

How to determine which will require more work

To determine which will require more work, we shall determine the work done in lifting each sack. Details below:

i. Work done in lifting 50 Kg

Mass (m) = 50 Kg
Height (h) = 2 m
Acceleration due to gravity (g) = 9.8 m/s²
Workdone (Wd) =?

Wd = mgh

Wd = 50 × 9.8 × 2

Workdone = 980 J

ii. Work done in lifting 25 Kg

Mass (m) = 25 Kg
Height (h) = 4 m
Acceleration due to gravity (g) = 9.8 m/s²
Workdone (Wd) =?

Wd = mgh

Wd = 25 × 9.8 × 4

Workdone = 980 J

SUMMARY

Work done in lifting 50 Kg is 980 J
Work done in lifting 25 Kg is 980 J

Thus, equal amount of work done is needed.

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