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Newton's Laws of Motion Newton 0th Law Objects are dumb - They have no memory of the past and cannot predict the future. Objects only know what is acting directly on them right now Newton's 1st Law An object that is at rest will remain at rest and an object that is moving will continue to move in a straight line with constant speed, if and only if the sum of the forces acting on that object is zero. Newton's 2nd Law acceleration of an object = sum of forces acting on that object / the mass of the object Newton's 3rd Law Recall that a force is an interaction between two objects. If object A exerts a force on object B then object B exerts a force on object that is in the opposite direction, equal in magnitude, and of the same type. Slide 4-19 Gravitational Force & Coordinate Systems A. Fg,y = -- mg B. Fg,y = -- mg sin(theta) C. Fg,y = mg cos(theta) D. Fg,y = -- mg cos(theta) E.Can’t tell what Fg,y is Slide 4-19 Samantha the Skier Samantha is skiing at Taos on an intermediate slope that makes a 25 degree angle with the horizontal. A. Assuming Friction is too small to be accounted for, what is Samantha’s acceleration? B. After Samantha has gone 100 m, what is her velocity? Slide 4-19 Newton’s Second Law Slide 4-22 Newton 2 Demonstrations Slide 4-19 Brainstorm: What do we know about Friction? 1. Slide 4-19 Static & Kinetic Friction - Part I Demonstration Explain the graph, i.e. why does it look this way? Slide 4-19 Static & Kinetic Friction - Part II Describe what is happening to the forces on the box and the effect of the forces on the motion of the box from the pictures. QuickTime™ and a decompressor are needed to see this picture. QuickTime™ and a decompressor are needed to see this picture. Slide 4-19 Static & Kinetic Friction - Part III Below is graph of the friction force exerted by the table on the box. A. Label times a-f that match the free-body diagrams in the previous problem. B. If the mass of the box is 3.0 kg, the maximum Ffs is 10 N, and Ffk has an average of 6.0 N, find the coefficents of static and kinetic friction. Slide 4-19 Coefficients of Friction What can you deduce/generalize about friction forces from this table? Describe 3-4 real world situations that can be explained by this table Slide 4-19 Parking on a Hill A. If you park on a hill with a 10 degree slope with the car held by the parking brake, what is the magnitude of the frictional force that holds your car in place? B. The coefficient of static friction between your car's wheels and the road when wet is 0.30. What is the largest angle slope on which you can park your car in the rain so that it will not slide down the hill? C. The coefficient of kinetic friction between your wheels and the wet road surface is 0.25. If someone gave your your car a push on the wet hill and it started sliding down, what would its acceleration be? Slide 4-19