QQuestionPhysics
QuestionPhysics
# 1 slug (a unit of mass) is equal to 14.59 kilograms. Convert 100 kilograms to slugs. Show your work clearly, including the cancellation of units.
Given:
1 \text { slug }= 14.59 \text { kilograms }
To convert 100 kilograms to slugs:
100 \text { kilograms } \times \frac{1 \text { slug }}{14.59 \text { kilograms }}
Step-by-step work:
100 \mathrm{~kg} \times \frac{1 \text { slug }}{14.59 \mathrm{~kg}}=\frac{100}{14.59} \text { slugs }
Simplify the fraction:
\frac{100}{14.59} \approx 6.85 \text { slugs }
Therefore, 100 kilograms is approximately 6.85 slugs.
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Answer
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Step 1:: Write down the given conversion factor.
1 \text { slug }=14.59 \text { kilograms }
Step 2:: Set up the conversion of 100 kilograms to slugs.
100 \text { kilograms } \times \text{ conversion factor }
Step 3:: The conversion factor is \frac{1 \text { slug }}{14.59 \text { kilograms }}.
100 \mathrm{~kg} \times \frac{1 \text { slug }}{14.59 \mathrm{~kg}}
Multiply this conversion factor by 100 kilograms.
Step 4:: Cancel out the kilograms unit.
\frac{100 \mathrm{~kg}}{14.59 \mathrm{~kg}} \times 1 \text { slug }
Step 5:: Perform the division.
\frac{100}{14.59} \text { slugs } \approx 6.85 \text { slugs }
Final Answer
100 kilograms is approximately equal to 6.85 slugs.
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