c Sapling Learning Map While on a camping trip, you would like to carry water fr

Question

c Sapling Learning Map 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 1.35 m long rod. Since the buckets are not identical, you find that the rod balances about a point 2.71 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? 2.71 em they hold the same O amount of water O bucket 2 O bucket 1 Fill in the blank: The heavier bucket contains water than the lighter bucket. % more

Explanation / Answer

Bucket 1 holds more water as its lever arm is shorter

Assume the weight of the water in bucket 2 is 10 N
Let A be the additional weight of water in bucket 1

sum moments about the balance point to zero

10[(1.35/ 2) + 0.0271] - (10 + A)[(1.35 / 2) - 0.0271] = 0

10[(1.35 / 2) + 0.0271] = (10 + A)[(1.35 / 2) - 0.0271]

10[ 0.7021] = (10 + A)[0.6479]

0.542 = 0.6479A

A = 0.8365 N

so as a percentage more

0.8365 / 10 = 0.08365 = 8.37% more in bucket 1

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