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Answer :
To determine the magnitude of the gravitational force acting on an object, we can use the formula for weight, which is the force due to gravity. The formula is:
[tex]F = m \cdot g[/tex]
where:
- [tex]F[/tex] is the force (weight in newtons, N),
- [tex]m[/tex] is the mass of the object (in kilograms, kg),
- [tex]g[/tex] is the acceleration due to gravity (approximately 9.81 meters per second squared, [tex]\text{m/s}^2[/tex] on Earth).
Given:
- [tex]m = 1 \text{ kg}[/tex]
- [tex]g = 9.81 \text{ m/s}^2[/tex]
We calculate [tex]F[/tex] as follows:
[tex]F = 1 \text{ kg} \times 9.81 \text{ m/s}^2 = 9.81 \text{ N}[/tex]
Therefore, the magnitude of the gravitational force acting on an object with a mass of 1 kg is 9.81 N.
The correct option is: 9.81 N
This problem is classified as a High School Physics question because it involves basic concepts of force and gravity, which are typically covered in high school physics curriculum.
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