QUESTION IMAGE
Question
dimensional analysis problems
all answers should be in scientific notation and in significant digits.
- according to the guinness book of records the heaviest baby ever born weighed 29 lbs 4 oz. (29.25 lbs). what was the babys mass in kg? (historical note: the birth occurred in effingham il in 1939 and due to respiratory problems the baby died two hours later. the heaviest babies to survive weighed 22.5 lbs and were born in 1955 and 1982.)
Step1: Identify the conversion factor
1 lb = 0.453592 kg
Step2: Convert the weight
$m = 29.25\times0.453592$ kg
$m=29.25\times4.53592\times 10^{- 1}$ kg
$m=(29.25\times4.53592)\times10^{-1}$ kg
$m = 132.67566\times10^{-1}$ kg
$m = 13.267566$ kg
In scientific - notation and significant digits, $m\approx1.33\times 10^{1}$ kg
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$1.33\times 10^{1}$ kg