The two forces acting on your body are the force of gravity and the normal reaction of the chair
Explanation:
As you sit on the chair, there are two forces acting on you:
- The force of gravity, acting downward, of magnitude [tex]mg[/tex] (where m is the mass of your body and g the acceleration of gravity)
- The normal reaction of the chair on your body, acting upward, N
We can now apply Newton's second law to this situation: this law states that the net force acting on a body is equal to the product between mass (m) and acceleration (a). Mathematically,
[tex]\sum F = ma[/tex]
For this problem, the net force is
[tex]\sum F = N-mg[/tex]
However, we notice that your body is at rest: so, its acceleration is zero,
[tex]a=0[/tex]
This means that also the net force is zero:
[tex]\sum F = 0[/tex]
And therefore,
[tex]N-mg=0\\N=mg[/tex]
So, the normal force of the chair balances the weight of your body.
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