While on a camping trip, you would like to carry water from the lake to your cam

Question

While on a camping trip, you would like to carry water from the lake to your campsite. You have two non identical buckets which you attach to a 1.19 m long rod. Since the buckets are not identical you find that the rod balances about a point 2.23 cm from its midpoint, as shown below. The weight of the rod and empty buckets are negligible compared to the weight of the water. Which bucket holds more water? Fill in the blank: The heavier bucket contains ________% more water than the lighter bucket.

Explanation / Answer

Let the weight in the lighter bucket be m.

Balancing moments,

m*0.6077=m1*0.5823

m1=1.0436m

% more water in the heavier bucket=0.0436/(1.0436+1)=2.13%

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