QuestionMay 30, 2025

What is the weight in newtons of an object that has a mass of 0.02 mg? Express your answer in newtons using three significant figures. W=square N

What is the weight in newtons of an object that has a mass of 0.02 mg? Express your answer in newtons using three significant figures. W=square N
What is the weight in newtons of an object that has a mass of 0.02 mg?
Express your answer in newtons using three significant figures.
W=square N

Solution
4.4(280 votes)

Answer

1.96 \times 10^{-7} \, \text{N} Explanation 1. Convert mass to kilograms 0.02 \, \text{mg} = 0.02 \times 10^{-6} \, \text{kg} = 2 \times 10^{-8} \, \text{kg} 2. Calculate weight using the formula Use **W = mg**, where g = 9.81 \, \text{m/s}^2. Thus, W = 2 \times 10^{-8} \times 9.81. 3. Compute the result W = 1.962 \times 10^{-7} \, \text{N}

Explanation

1. Convert mass to kilograms<br /> $0.02 \, \text{mg} = 0.02 \times 10^{-6} \, \text{kg} = 2 \times 10^{-8} \, \text{kg}$<br />2. Calculate weight using the formula<br /> Use **$W = mg$**, where $g = 9.81 \, \text{m/s}^2$. Thus, $W = 2 \times 10^{-8} \times 9.81$.<br />3. Compute the result<br /> $W = 1.962 \times 10^{-7} \, \text{N}$
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