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Draw a free body diagram for the skier. Friction A block on a table may not start to move when we apply a small force to it. This means that there is no net force in the horizontal direction, and that the applied force is balanced Friction Based on these observations we can conclude : There are two different friction forces: the static friction force (no motion) and the kinetic friction force (motion). The static friction force increases with the applied force but has a maximum value. Friction and Braking Consider how you stop in your car: The contact force between the tires and the road is the static friction force (for most normal drivers). It is this force that provides the acceleration required to reduce the speed Friction and Normal Forces The maximum static friction force and the kinetic friction force are proportional to the normal force. Changes in the normal force will thus result in changes in the friction forces. NOTE: The normal force will be always perpendicular to the surface. The friction force will be always opposite to the direction of (potential) motion. Pushing or Pulling A Big Difference More Friction Bigger Normal Less Friction smaller Normal Sample Problem A 747 jetliner lands and begins to slow to a stop as it moves along the runway. If its mass is 3.50 x 105 kg, its speed is 27.0 m/s, the forward force is 1 x 105 and the braking force is 4.30 x 105 N a) what is its speed 7.50 s later? b) How far has it traveled in this time? Newton’s Third Law For every action there exists an equal and opposite reaction. If A exerts a force F on B, then B exerts a force of -F on A. Examples of Newton’s 3rd Law Copyright James Walker, “Physics”, 1st edition Sample Problem You rest an empty glass on a table. a) How many forces act upon the glass? b) Identify these forces with a free body diagram. c) Are these forces equal and opposite? d) Are these forces an action-reaction pair? Sample Problem A force of magnitude 7.50 N pushes three boxes with masses m1 = 9.4 kg total. If the friction force is 1.50 N, what is the net force? What is the acceleration? Copyright James Walker, “Physics”, 1st edition Newton’s 2nd Law in 2-D The situation is more complicated when forces act in more than one dimension. You must still identify all forces and draw your force diagram. You then resolve your problem into an x-problem and a y-problem (remember projectile motion????). Forces in 2-D Copyright James Walker, “Physics”, 1st edition Forces in 2-D Copyright James Walker, “Physics”, 1st edition Forces in 2-D Copyright James Walker, “Physics”, 1st edition Forces in 2-D Copyright James Walker, “Physics”, 1st edition Forces in 2-D Copyright James Walker, “Physics”, 1st edition Sample Problem A surfer “hangs ten”, and accelerates down the sloping face of a wave. If the surfer’s acceleration is 3.50 m/s2 and friction can be ignored, what is the angle at which the face of the wave is inclined above the horizontal? Mass and Weight Sample Problem How long will it take a 1.0 kg block initially at rest to slide down a frictionless 20.0 m long ramp that is at a 15o angle with the horizontal? Sample Problem An object acted on by three forces moves with constant velocity. One force acting on the object is in the positive x direction and has a magnitude of 6.5 N; a second force has a magnitude of 4.4 N and points in the negative y direction. Find the direction and magnitude of the third force acting on the object. Mass and Weight Many people think mass and weight are the same thing. They are not. Mass is inertia, or resistance to acceleration. Weight can be defined as the force due to gravitation attraction. W = mg Sample Problem A man weighs 150 pounds on earth at sea level. Calculate his a) mass in kg. b) weight in Newtons. Newton’s Laws (inertia: mass vs. weight) Here is a useful strategy for finding how the motion of an object depends on the forces exerted on it. 1.Draw a diagram showing the direction and relative strength of each force acting on the system. 2.First, identify all the forces acting on the object. 3.Then, add the forces to find the net force. 4.Remember: only outside forces count (called EXTERNAL forces). What happens inside an airplane doesn’t make it fly. Only the outside air can do that. 5.Next, use Newton’s second law to calculate the acceleration. REVIEW QUESTIONS 1. What is the difference between mass and weight? 2. Which has more mass, 12 g of feathers or 12 g of lead? 3. When an astronaut is living on the International Space Station, what happens to his mass? REVIEW QUESTIONS 4. What would the mass of a dog be if it has a weight of 100N? 5. What would the weight of an apple be if it has a mass of 1.5 kg? 6. What is a force? REVIEW QUESTIONS 7. What is friction? 8. What do YOU think causes friction on a moving object?