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Transcript
Newton’s 3rd Law of Motion notes Monday, 9/26 and Tuesday, 9/27 Newton’s 3rd Law of Motion Known as the law of interaction. Forces always occur in pairs; either playing the action or reaction part of interaction. When a force is exerted on an object (action) the object exerts a force on the object causing the force (reaction). The reaction force is equal (in magnitude) and opposite in direction to the action force. Force Pair Demo Write your observations below. Force Pair example Kent is pulling upon a rope that is attached to an elephant. Fkent = 500 N, left (Reaction) Felephant = 500 N, right (Action) Image source: http://www.physicsclassroom.com/class/newtlaws/Lesson-4/Newton-s-Third-Law Newton’s 3rd Law – analyzing systems A system consists of two or more objects interacting with each other. Image source: http://4.bp.blogspot.com/-kIWrZZBgsUw/U9CYf4QFBYI/AAAAAAAAEhg/dMduMORi4R4/s1600/Newton's+Third+Law.png Example: A 100 kg basketball player throws a 20 kg medicine ball. The player accelerates to the left at 1 m/s2. Calculate the acceleration of the ball. Fplayer, ball, Fplayer, ball = (100 kg)(1 m/s2) Fplayer, ball = 100 N Fball, player, a= Fball, player mball a= 100 N 20 kg a= 5 m/s2 right Analyzing Systems of Objects 1. Newton’s 3rd Law explains that the tension on M1 is the same as the tension on M2. 2. When objects are connected They have the same acceleration. System; M1 and M2 Image source: http://bama.ua.edu/~jharrell/PH105-S03/exercises/coef_frict_lab_files/image002.gif Example: connected objects A 3 kg block (M1)is at rest on a table. It is attached to a 2 kg block(M2) by a string that passes over a pulley. 1. Calculate the acceleration of the system. 2. Calculate the tension in the string. Steps 1. 2. 3. 4. 5. 6. Draw a FBD Write net force equations Apply Newton’s 2nd Law of Motion (a = F/m) Solve the system of equations. Calculate acceleration Calculate tension using a net force equation. Step 1: Draw a FBD A 3 kg block (M1)is at rest on a table. It is attached to a 2 kg block(M2) by a string that passes over a pulley. Step 2: Write the net force equations A 3 kg block (M1)is at rest on a table. It is attached to a 2 kg block(M2) by a string that passes over a pulley. Step 3: Apply Newton’s 2nd Law (a = F/m) A 3 kg block (M1)is at rest on a table. It is attached to a 2 kg block(M2) by a string that passes over a pulley. Step 4: Solve the system of equations to find acceleration. A 3 kg block (M1)is at rest on a table. It is attached to a 2 kg block(M2) by a string that passes over a pulley. Step 5: Find tension using net force equation. A 3 kg block (M1)is at rest on a table. It is attached to a 2 kg block(M2) by a string that passes over a pulley. Takeaways…. The acceleration of the system is equal to the net force of the system divided by the mass of the system. Tension force between two objects in a system is call the internal force.