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4a. calculate the mass of an object that weighs 180 pounds at sea level…

Question

4a. calculate the mass of an object that weighs 180 pounds at sea level on earth (1 pound = 2.205 kg)

Explanation:

Step1: Convert pounds to kg

Given \(1\) pound \( = 2.205\) kg.
For an object of \(180\) pounds, we use the conversion formula \(m=\text{weight in pounds}\times\frac{\text{kg}}{\text{pound}}\).
So \(m = 180\times2.205\)

Step2: Calculate the product

\(180\times2.205=(100 + 80)\times2.205=100\times2.205+80\times2.205\)
\(100\times2.205 = 220.5\), \(80\times2.205=(8\times2.205)\times10=(17.64)\times10 = 176.4\)
\(220.5+176.4 = 396.9\)

Answer:

\(396.9\) kg