frastrated over your difficult asignment , you slam your hand on the table. ouch! why does your hand hurt? would it hurt if the table had broken when you hit it? (using Newton's third law)
Your hand hurts when you slam it on the table because of Newton's third law of motion, which states that every action has an equal and opposite reaction. Here's an explanation of what happens:
When you apply a force by slamming your hand on the table, there is a reaction force exerted by the table on your hand. This reaction force is equal in magnitude but opposite in direction to the force you applied. Since the table is a solid object, it exerts a significant amount of force back on your hand, causing the sensation of pain.
Now, if the table had broken when you hit it, the situation would be slightly different. Although the table breaking would mean that less force is exerted by the table on your hand, you would still feel pain. This is due to the fact that when the table breaks, it exerts force until the breaking point, which suddenly reduces. Hence, even if the table breaks, your hand would still experience a significant amount of force exerted on it, causing pain.
In summary, the pain in your hand is a result of the reaction force exerted by the table when you slammed your hand on it, as per Newton's third law. The state of the table breaking or not doesn't completely eliminate the force exerted on your hand, thus resulting in continued pain.