Explain: You pull a door open. If the door exerts on you is equal to the net force you exert on the door, why don't you move?
If you were on skates and the floor were ice, you might move :)
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When you pull a door open, the door exerts a force on you in the opposite direction due to Newton's third law of motion, which states that for every action, there is an equal and opposite reaction. If the force exerted by the door on you is equal to the net force you exert on the door, you might wonder why you don't move. The reason you don't move is because of the difference in masses and accelerations.
To understand this more clearly, let's break it down:
1. Mass: The mass of an object determines its inertia or resistance to motion. When you pull a door, your mass is likely much larger than the mass of the door. Since you have a greater mass, you require a larger force to accelerate your own body compared to the force exerted by the door on you.
2. Acceleration: The acceleration of an object depends not only on the net force but also on its mass. Newton's second law of motion states that the acceleration of an object is directly proportional to the net force acting upon it and inversely proportional to its mass (F = ma). In this case, the mass of the door is likely larger than your mass. Therefore, while the force you exert on the door is equal in magnitude to the force exerted by the door on you, the door will experience a smaller acceleration due to its larger mass.
Since your mass is smaller, and therefore you have a greater propensity for accelerating, you move in response to the force exerted by the door on you. However, the door's larger mass impedes its acceleration, therefore preventing it from moving as much or potentially not moving at all.
So, even though the forces are equal, it is the difference in mass and resulting acceleration that leads to different amounts of movement between you and the door.