Short Answer 
To convert from Newtons to kilograms, use the formula: Force (F) = mass (m) * acceleration due to gravity (g), with g approximately equal to 9.8 m/s². To find the mass in kilograms, divide the force in Newtons by 9.8; for example, 100 Newtons equals approximately 10.2041 kilograms, which does not match any of the provided options.
Step 1: Understand the Conversion Formula
To convert from Newtons to kilograms, you need to use the formula that relates force, mass, and acceleration due to gravity. The equation is:
- Force (F) = mass (m) * acceleration due to gravity (g)
Here, the acceleration due to gravity (g) is approximately 9.8 m/s² on Earth, which is essential for this conversion.
Step 2: Perform the Calculation
To convert a value in Newtons to kilograms, you simply divide the force value by 9.8 m/s². For example:
- Example Conversion: 100 Newtons / 9.8 m/s² = 10.2041 kilograms
This calculation provides you with the mass in kilograms corresponding to the force in Newtons you started with.
Step 3: Assess the Result Against Options
After performing the calculation, you can compare the result to the options provided. In this case:
- The result of 10.2041 kilograms is not among the options
Thus, none of the choices given – 98 kg, 22.48 kg, 9.8 kg, and 100 kg – are correct for the conversion from 100 Newtons.