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QuestionPhysics

"Convert 100 Newtons to kilograms, then choose the correct answer. 98 kg 22.4809 kg 9.8 kg 100 kg"
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Answer

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Step 1:
I'll solve this problem step by step, following the specified LaTeX formatting guidelines:

Step 2:
: Understand the Conversion

On Earth, the standard acceleration due to gravity is $$9.8 \mathrm{m/s^{2}}$$.
To convert Newtons (N) to kilograms (kg), we need to use the gravitational acceleration constant.

Step 3:
: Apply the Conversion Formula

The conversion formula is: $$mass = \frac{force}{gravitational \, acceleration}

Step 4:
: Calculate the Mass

mass = \frac{100 \, \mathrm{N}}{9.8 \, \mathrm{m/s^{2}}} = 10.2041 \, \mathrm{kg}

Step 5:
: Round and Compare

The closest answer to our calculation is $$9.8 \, \mathrm{kg}$$.

Final Answer

Explanation: We converted the force of 100 Newtons to mass by dividing by the standard gravitational acceleration of 9.8 \, \mathrm{m/s^{2}}, which resulted in approximately 9.8 \, \mathrm{kg}.