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Chapter 11: Forces 11.1: Forces change motion
11.2: Force and mass determine acceleration 11.3 Forces act in pairs 11.4 Forces transfer momentum
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Warm-up Questions (T or F)
Speed includes direction, while velocity does not A moving object covers the same distance in less time if its velocity is greater Acceleration measures only change in speed
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11.1 Forces change motion A force is a push or a pull
Ex: pitcher uses force to set the ball in motion, the batter uses force to change the direction of the pitched ball’s motion, and the fan stops the ball’s motion (using force) Forces change the motion of objects
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Types of Forces Contact Forces: when one object pushes or pulls another object by touching it
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Types of Forces Gravity: force of attraction between two masses
F is the force of attraction between two objects G is the universal gravitational constant; G = 6.67*10-11 N-m²/kg². The units of G can be stated as Newton meter-squared per kilogram-squared or Newton square meter per square kilogram. M and m are the masses of the two objects r is the distance between the objects, as measured from their centers GMm/r² is G times M times m divided by r-squared
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Types of Forces Friction: force that resists motion between two surfaces that are pressed together Is in the opposite direction of motion (more on gravity and friction in chapter 12)
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Forces – Push and Pull Size and Direction of Forces
Velocity is a vector…and so is force Has size and direction Balanced and Unbalanced Forces Net force: the overall force acting on an object when all the forces are combined Knowing size and direction of all forces allows you to predict changes in the object’s motion
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Forces: Balanced and Unbalanced
If the net force on an object = 0, the forces acting on it are balanced Same effect as no forces at all Only unbalanced forces can change the motion of an object It doesn’t matter whether the objected started at rest or was already moving
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Forces – Balanced and Unbalanced
Examples: parachutist moving at a constant speed The forces acting on him/her are balanced
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Balanced Forces Raindrop Terminal Velocity
When the object is falling, the force of gravity is directed towards the ground and the drag force directed upwards As the body moves faster, the drag force becomes larger and larger until it equals the force of gravity and the object then falls at a constant velocity Fdrag Fgravity
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Forces on Moving Objects
If the forces are balanced, an object can be moving at a constant velocity Ride a bike: force you put in = force of friction An unbalanced for is needed to change the object’s motion To increase bike’s speed, may exert more forward force (pedal harder) To turn, lean to one side – unbalancing the force To stop: force of friction from brakes
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Newton’s first law relates force and motion
Mid-1600’s: three laws of motion to help describe and predict motions of objects Built on Galileo’s work, revising the ancient Greeks (push a book and it stops moving because you stopped pushing) Galileo’s thought experiment In the absence of friction, a moving object with continue moving even if there is no force acting on it Meaning: it does not take a force to keep an object moving…it takes a force to stop an object that is already moving (friction) Objects at rest and in motion both resist changes in motion An object at rest is no different than a moving object, except an object at rest has zero velocity
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Newton’s First Law of Motion
Restating Galileo’s conclusions: Objects at rest remain at rest, and objects in motion remain in motion with the same velocity, unless acted upon by an unbalanced force Examples? Anything that changes the motion of an object Passenger still moving forward at the speed the car was moving The windshield provides the unbalanced force decreasing the driver’s forward motion Wear your seat belt
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Newton’s First Law of Motion
Inertia: resistance of an object to a change in the speed or the direction of its motion (law of inertia) Closely related to mass: Easier to push/pull and empty box vs full box Easier to stop/turn an empty wagon than a full one **harder to change the motion of the object that has more mass
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