To find out how much force is acting on a 1-kilogram object that is free-falling to the ground, we will employ Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.
Here are the steps:
1. Identify the mass of the object (m):
- Given the mass (m) of the object is [tex]\(1 \, \text{kg}\)[/tex].
2. Determine the acceleration due to gravity (g):
- On Earth, the acceleration due to gravity (g) is approximately [tex]\(9.8 \, \text{m/s}^2\)[/tex].
3. Apply Newton’s second law of motion:
- The formula for force (F) is [tex]\( F = m \times g \)[/tex].
4. Substitute the known values into the formula:
- [tex]\( F = 1 \, \text{kg} \times 9.8 \, \text{m/s}^2 \)[/tex].
5. Calculate the force:
- [tex]\( F = 9.8 \, \text{N} \)[/tex].
So, the force acting on a 1-kilogram object that is free-falling to the ground is [tex]\( 9.8 \, \text{N} \)[/tex].
