Understanding the Concepts
* Force of Gravity (Weight): This is the force exerted on an object due to gravity. It's often measured in Newtons (N).
* Mass: This is a measure of the amount of matter in an object. It's often measured in kilograms (kg).
* Acceleration due to Gravity (g): This is the constant acceleration experienced by objects falling freely near the Earth's surface. It's approximately 9.8 m/s².
The Formula
The relationship between force, mass, and acceleration is given by Newton's Second Law of Motion:
* Force (F) = Mass (m) x Acceleration (a)
Calculation
1. Identify the known values:
* Force (F) = 100 N
* Acceleration due to Gravity (g) = 9.8 m/s²
2. Rearrange the formula to solve for mass:
* Mass (m) = Force (F) / Acceleration (g)
3. Substitute the values and calculate:
* m = 100 N / 9.8 m/s²
* m ≈ 10.2 kg
Answer: The mass of the child is approximately 10.2 kg.
