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Transcript
Forces and Newton’s Laws Physics Classical or Newtonian mechanics Describes motion of macroscopic objects. Stays away from objects approaching the speed of light special relativity. Stays away from teeny, tiny objects quantum mechanics. What is a Force? A Push or a Pull! Standard Unit is the NEWTON (N) Types: Contact Forces (macroscopic) Normal contact stuff (support forces, pushes, pulls,..) Friction (always in the opposite direction of motion) Air Resistance (again always opposite in direction) Tension (Ropes, Wires, Cables) Field Forces Electric, Magnetic, Nuclear Gravity (exists between any two objects) Requires lots of mass to be significant! On earth: 1 kg is pulled on with a force of 9.8 Newtons Practice …. Using Gravitational Field to Determine Weight / Mass 12 kg = __________ N 100 grams = ________ N 10 N = __________ kg I weigh 175 pounds. How much mass is that in kg (earth)? What is that weight in N? Overview of Newton’s Laws First Law: What happens to the motion of an object if there is no total, net force acting on it? Second Law: What happens to the motion of an object if there are forces acting on it? Third Law: What happens to the motion of several objects when they interact? Newton’s First Law of Inertia Every object continues in its state of rest, or of uniform motion in a straight line, unless it is compelled to change that state by forces impressed upon it. In other words; if there is no NET FORCE acting on the object, it’s motion should remain unchanged! The amount of Inertia an object has depends on its mass Ex’s Inertial Balance How does one weigh things in space? You can’t WEIGH things in space, but one can mass object. Inertia is WAY better than a towel. Why? More inertia Egg Why does the blood rush to your feet when a descending elevator stop? How do you get the last bit of ketchup out of the bottle? Do head rests help prevent whiplash from front-end or rear-end collisions? Shot put Review… How many Newtons does a 6 kg object experience due to the gravitational pull of the Earth? 25N = _____kg Which of the following has the most inertia? A submarine, a tricycle or an SUV? What is inertia? NET FORCE The sum of all forces acting on an object is the object’s NET FORCE. When the NET FORCE is zero, the object is said to be at equilibrium. Sometimes Equilibrium occurs and the object is at rest Sometimes Equilibrium occurs and the object is moving AT CONSTANT VELOCITY! Ex’s – Support forces and scales Practice problems 80 kg = ___________ Newtons 15 kg = ___________ Newtons 1000 N = __________ Kg 50 grams = ________ N 20 pounds = _______ Newtons Will a scale reading increase or decrease as you accelerate up in an elevator? Will a scale reading increase or decrease as you move downward at constant velocity in an elevator? Diagrams and Vectors Force Diagrams Should consist of a small picture of the object Also consist of scaled arrows that represent force acting on the object. Longer the arrow, greater the force. Each “Force Arrow” should be labeled as “Object B on Object A”, where Object A is the object your concerned with. Ex’s…. Practice …. Practice … Vectors: Force is a VECTOR – therefore we should follow the rules for adding vectors. If in the same direction they just add up. If in the opposite direction they just subtract. If at an angle, line the tails up together and create a parallelogram. The diagonal of the parallelogram (starting from the “tails”) is the Resultant. Ex’s … Practice … Practice HONORS Check for Understanding… Examine the diagram below of 3 books of different masses atop a scale. What is the mass of the middle book? With what force does Book C exert on Book B? Draw a complete force diagram for each book !!! Book A Mass = 1 kg Book B Mass = ? Book C Mass = 2.5 kg Scale = 65 Newtons Check for Understanding… Again.. Examine the diagram below of 3 planters of different masses hanging from each other. Plant B exerts 120 Newtons of Force on Plant A. What is the mass of Plant B? Draw a complete force diagram for each plant !!! Ceiling Plant A Mass = 4 kg Plant B Mass = ? Plant C Mass = 7 kg Warm-up 1. 2. 3. A student drags a sled across loosely packed snow with a rightward acceleration. Draw a force diagram of the student and another diagram of the sled. A car is traveling at constant velocity up a a hill to the right. Draw a force diagram for the car. An airplane, traveling to the right, is accelerating up and to the right. Draw a force diagram for the plane. Jar of Flies • A bunch of flies are in a capped jar. You place the jar on a scale. The scale will register the most weight when the flies are a) Sitting on the bottom of the jar. b) Flying around inside the jar. c) …. Weight of the jar is the same in both cases. Pulley Practice Draw the force diagram for the block on the table. The mass of the little block is 10 kg. and the mass of the larger block is 5 kg. It is in static equilibrium. The mass of the block is 4 kg. Find all five of the tensions labeled in the diagram. (hint: draw force diagrams for the pulleys) Draw force diagrams for A and B. Block A in the figure is heavier than block B and is sliding down the incline at constant velocity. All surfaces have friction. The rope is massless, and the massless pulley turns on frictionless bearings. Kink Water is shooting out the end of a pipe. The end of the pipe is bent into a figure 6. Ignoring the effects of gravity, which of the following is true? a) The water shoots out in a curved arc. b) The water shoots out in a straight line. Friction Two types, static and kinetic Static Friction describes the resistive forces between two objects at rest. Kinetic Friction describes the resistive forces between two objects that slide past each other. Friction depends only on two things; Normal Force (support force) and the coefficient of friction Kinetic Friction is always less than static. Ex’s Tires and road Coefficient of friction describes how “sticky” the two objects are. These are listed in tables somewhere…. Ffriction = μ Fnormal Ex… Newton’s Second Law If there is a net force on an object – it will accelerate. (Understand Motion first!) The acceleration will be proportional to the net force on the object But the acceleration will be inversely proportional to the mass (inertia) of the object Acceleration = Net Force / Mass Ex’s Free Fall (a = 9.8 m/s2) In the absence of air resistance and friction, all objects should fall at the same rate regardless of mass/weight. Known as the “law of falling bodies” While heavier objects have more force acting on them, they also have more inertia, which keeps the ratio of F/M the same. Feather and Hammer Drop on the moon. Non Free-Fall (a < 9.8 m/s2) Objects falling through the air will experience a drag force (air resistance) The amount of Air drag depends on … The cross-sectional area of the object (size) The speed of the object The density of the air The “texture” of the surface of the object (coefficient of drag, CD) Ex At one moment a skydiver (50 kg) is falling with an acceleration of 5 m/s/s, what is the force of air drag? Friction Frictional Force only depends on the surface features (roughness) and the support force on the object. Contrary to what many people think, Friction has very little to do with Area of contact. Two types: Static Friction: Contacting surfaces lock together like puzzle pieces when at rest. Kinetic Friction: Surfaces ride along the edge of each other when in motion. Static Friction is always grater than Kinetic. Ex’s: Phone book friction, simple experiment Newtons Third Law For every action force there exists a reaction force that is the same in magnitude but opposite in direction. Ex’s Action: My feet push on the floor with 650 N of force Reaction: The floor pushes on my feet with 650 N of force Action: My cars’ tires push backwards on the pavement with 10,000 N of force. Reaction: Vectors (Honors) To resolve multiple vectors at various angles: Setup a x-y coordinate system Break down each vector into x and y components component = hyp x Cos θ Y component = hyp x Sin θ X Add up the x’s and y’s and follow Pythagorean to get resultant. X2 + y2 = R2