Question

PLEASE HELP. GRAVITY QUESTION, WRITTEN RESPONSE.
As you sit and work at your computer, list the different forces acting on your body. After listing the different forces, explain how one of Newton's laws apply to you as you are sitting and working on your computer.

Answer 1

1) Forces acting on your body: force of gravity and normal reaction

2) Due to Newton's second law, N = mg

Explanation:

1)

When you sit on the computer, there are only two forces acting on you:

• The force of gravity, acting downward, of magnitude $W=mg$, where m is your mass and $g=9.8 m/s^2$ is the acceleration due to gravity, downward
• The normal reaction exerted by the chair on you, $N$, acting upward

Your body is in equilibrium (it doesn't move), this means that the two forces balance each other, therefore:

$N-mg=0\\N=mg$

2)

We can now apply Newton's second law of motion to this situation; this law states that the net force acting on a body is equal to the product between its mass and its acceleration. Mathematically,

$\sum F = ma$

where

$\sum F$ is the net force

m is the mass

a is the acceleration

In this situation, the net force is

$\sum F = N-mg$

So the equation becomes

$N-mg=ma$

However, we observe that your body is at rest; therefore, the acceleration is zero:

a = 0

And therefore,

$N-mg=0\\N=mg$

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