While on a camping trip, you would like to carry water from the lake to your cam
ID: 1365585 • Letter: W
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 1.43 m long rod. Since the buckets are not identical, you find that the rod balances about a point 0.0175 m from its midpoint, as shown below. The weight of the rod and empty buckets are negligible compared to the weight of the water.
a) Which bucket holds more water?
b) The heavier bucket contains ___% more water than the lighter bucket does.
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Explanation / Answer
to balance is to find the centre of mass of the system
for Heavy Bodies COM will lies closer compared to lighter bodies
so The Bucket whic holds more water will lie CLoser to COM
in terms of mathematics
m1* ( 0.715 + 0.0175) = m2 (0.715 - 0.0175)
m1/m2 = 0.9522 < 1
Hence m1 < m2
BUcket 2 holds more water
------------------
b. % = m2/m1 -1 *100
% = (1/0.9522 -1) *100
% = 5.017%
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