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Chapter 7: Newton’s Third Law of Motion – Action and Reaction1 Forces and Interactions Force: a push or a pull A force is always part of a mutual action that involves another force. o mutual action: Interaction between one thing and another Forces occur in pairs o For all cases of contact, there is a twoness – contact requires 2 objects Newton’s third law: for every action force there is an equal and opposite reaction force. Name the interaction here. Hammer and nail: No. Force is not something an object has, like mass. Force is always part of a mutual action that involves another force. Dynamite has the capability of exerting a force on another object, but does not possess force as a thing in itself. Hammer exerts a force on the nail and drives it into the board Nail exerts a force on the hammer to cause it to stop Newton’s Third Law of Motion Newton’s third law of motion involves two forces: the action force and the reaction force It doesn’t matter which force is called the action force and which is called the reaction force. Both forces are partners in a single interaction Neither force exists without the other Equal in strength and opposite in direction Chapter 7: Newton’s Third Law of Motion – Action and Reaction2 Let’s talk interactions! Walking: you push against the floor, the floor pushes against you. Driving: tires push against the road, the road pushes against the tires. Name the interactions here. Swimming: you push against the water, the water pushes against you. Walking on ice? Friction is minimal, so you may not be able to exert the action force. If so, there is no reaction force. The second object exerts an equal and opposite force on the first object! Newton’s third law of motion. Identifying Action and Reaction Name the reaction force if a boulder is falling to the ground. How to identify action and reaction forces: Identify the interacting objects: Action: Object A exerts a force on object B. Reaction: Object B exerts a force on object A. Chapter 7: Newton’s Third Law of Motion – Action and Reaction3 Action and Reaction on Different Masses The boulder pulls up on the Earth with as much force as Earth pulls down on the boulder. Boulder falls to Earth Earth falls to boulder! Forces are equal, but masses are radically different! Newton’s 2nd law states that acceleration is proportional to force, but inversely proportional to mass. Earth’s huge mass makes the acceleration upward negligible. When the cannon is fired, there is an interaction between the cannon and the cannonball. Force exerted on the cannon is equal and opposite to the force exerted on the cannonball. Cannon recoils Why does the cannonball move so fast compared to the cannon? A given force exerted on a small mass produces a greater acceleration than the same force exerted on a large mass. Balloon accelerates as the air comes out. Rockets operate on the same principle – the rocket continually recoils from the exhaust gases ejected from the engine. Rocket is not pushing against the atmosphere Rocket is recoiling from the “molecular cannonballs” it fires out the back, and climbs upward. Rockets actually work better in outer space due to the lack of air resistance Chapter 7: Newton’s Third Law of Motion – Action and Reaction4 Lift Helicopters’ blades force air particles down; the air forces the blades upward. Upward reaction force is called “lift.” When lift equals the weight of the helicopter, the helicopter hovers in midair. When lift is greater than weight, the helicopter is able to climb. Birds’ wings deflect air downward; air pushes the birds upward. Airplane wings also have a shape to deflect oncoming air downward, which provides lift. Airplanes must push air downward to produce lift. Jet engines or propellers push air backward, so the air pushes the airplane forward. A given force exerted on a small mass produces a greater acceleration than the same force exerted on a large mass. Defining Systems Since action and reaction forces are equal and opposite, why don’t they cancel to zero? You have to consider the system involved. Dashed line defines the system. Red vector arrow points outside the system and represents an external force. System accelerates (Newton’s 2nd law) Apple provides the force. Apple is outside the orange system. Orange exerts a force on apple (another system). Action and reaction forces do not cancel each other when either of the forces is external to the system being considered. Chapter 7: Newton’s Third Law of Motion – Action and Reaction5 Force pair is internal to the orangeapple system. These forces do cancel. These forces do not accelerate the system. Force external to system is needed to accelerate the system. Apple pushes against the floor Floor pushes against the apple (friction) Orange-apple system accelerates Action-reaction forces internal to the system cancel out and play no role in accelerating that system. Let’s play some football! One interaction between the foot and the football: The ball accelerates. Two kicks act on the same ball (2 interactions occurring): If both kicks are simultaneous, equal, and opposite, the net force on the ball is zero. Opposing forces act on the same object, not different objects, so they do not make up an action-reaction pair. Suppose a friend who hears about newton’s third law says that you can’t move a football by kicking it because the reaction force by the kicked ball would be equal and opposite to your kicking force. The net force would be zero, so no matter how hard you kick, the ball won’t move! What do you say to your friend? Action and reaction forces do not cancel each other when either of the forces is external to the system being considered. Chapter 7: Newton’s Third Law of Motion – Action and Reaction6 Action Equals Reaction Can you hit a falling piece of paper with 50 pounds of force? Why or why not? You can’t because the paper can’t hit back on you with 50 pounds of force. A 50-lb interaction between your fist and the paper is not possible. For every interaction between things, there is always a pair of oppositely directed forces that are equal in strength.