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INSTRUCTIONAL OBJECTIVES Students will • Evaluate forces in action/reaction NATIONAL MATHEMATICS STANDARDS Algebra • Generalize patterns using explicitly defined and recursively defined variables • Interpret representations of functions of two variables • Approximate and interpret rates of change from graphical and numerical data Problem Solving • Solve problems that arise in mathematics and in other contexts • Apply and adapt a variety of appropriate strategies to solve problems NATIONAL SCIENCE CONTENT STANDARD B Motions and forces • Objects change their motion only when a net force is applied. Laws of motion are used to calculate precisely the effects of forces on the motion of objects. The magnitude of the change in motion can be calculated us ing the relationship F = ma, which is independent of the nature of the force. Whenever one object exerts force on another, a force equal in magnitude and opposite in direction is exerted on the first object. INTRODUCTION “For every action, there is an equal and opposite reaction.” Another way to state Newton’s third law is that if two bodies interact, the force exerted on body 1 by body 2 is equal to and opposite the force exerted on body 2 by body 1: F12 = F21. For example, if you try to accelerate a brick by kicking it, it hurts. The brick provides the same force, but opposite in direction, back to your foot as you applied to kicking the brick. These forces are called action-reaction forces. Newton’s third law is very important to aircraft. In order to create lift, the flow of air must be turned by a solid object. During the lifting of a plane (see figure below at the left), the air is turned downward by both the upper and lower surfaces of the wing. As the airflow is turned in one direction (action force), the lift force on the plane is generated in the opposite direction (reaction force). Therefore, the more air that is pushed in the downward direction by the wings, the greater the lift. Another demonstration of Newton’s third law is the acceleration of an airplane (see figure below at the right). As the compressed fuel-air mixture burns, the engine dispenses hot exhaust gasses out the nozzle. The resulting reaction force is a thrusting force in the opposite direction of the exhaust flow. This action-reaction is the principle behind aircraft acceleration and lift. Newton’s Third Law of Motion Jet engine Reaction force Exhaust Action force Airfoil Foil deflected up Foil deflected down Pushing the Envelope: A NASA Guide to Engines 53 PHYSICS AND MATHPDF Image | NASA Guide to Engines
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