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Forces & Motion Chapter 12
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TUG-O-WAR TIME!!!
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What is a force A push or pull that acts on an object Forces can cause a resting object to move, or it can accelerate a moving object by changing the object’s speed or direction
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Measuring Force Spring Scales The stretch of a spring scale depends on the weight (type of force) acting on it
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Units of Force Measured in newtons (N) 1 N = the force that causes a 1 kilogram mass to accelerate at a rate of 1 meter per second squared 1 N = 1 kgm/s 2 This unit is named after Sir Isaac Newton (1642-1727) Scientist who explained how force, mass and acceleration are related
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Force Diagrams Use arrows to represent the direction and strength of a force (like a vector!)
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Spring Scale Activity Choose five objects on your table. Attach a string to your objects if necessary. Use the spring scale to determine the weight (in newtons) of your objects. Draw a force arrow for each object that is to scale relative to each other force arrow.
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Combining Forces Back to tug-o-war… You can combine force arrows to show the result of how forces combine Forces in the same direction add together Forces in the opposite direction subtract from one another
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Net Force The overall force acting on an object after all the forces are combined
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Balanced Forces Sometimes the net force acting on an object is zero. Balanced Forces Forces that combine to produce a net force of zero Results in NO CHANGE in an object’s motion
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Common Example Two people locked in an arm wrestling match Tug-o-War match with two evenly matched teams! Two football players pushing against one another at the line of scrimmage
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Unbalanced Forces Results when the net force acting on an object is NOT equal to zero When an unbalanced force acts on an object, the object accelerates
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Combining Forces = Adding Forces = 0 Equal and opposite forces = Subtracting Forces
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Friction A force that opposes motion of objects that touch as they move past each other. Acts at the surface where objects are in contact (includes all solids, liquids, and gases) Friction is important! Without friction every surface would be impossibly slippery Food would slide right off your fork Walking would be impossible Cars would slide around with their wheels spinning
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Four main types of friction 1. Static Friction 2. Sliding Friction 3. Rolling Friction 4. Fluid Friction
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Static Friction The friction force that acts on objects that are not moving Always acts in a direction opposite to that of the applied force
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Sliding Friction A force that opposes the direction of motion of an object as it slides over a surface LESS than static friction This means that once an object is moving, less force is needed to keep the object moving than to start it moving
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Rolling Friction The friction force that acts on rolling objects When a round object rolls across a flat floor, both the object and the floor are bent slightly out of shape at the point of contact 100 – 1000 times less than static or sliding friction This is why movers use wheeled dollies to move heavy objects!
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Fluid Friction Liquids and mixtures of air are known as fluids Fluid friction results when fluids (like liquids and air) oppose motion of an object Example, when you stir cake batter you can feel fluid friction Fluid friction increases as the speed of the object moving through the object increases
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Air Resistance Fluid friction acting on an object moving through the air At higher speeds air resistance is a significant force For example, swimmers, cyclists and even runners wear slick racing suits to reduce air resistance
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Wing Suits... (Start @ 1:00 min
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Types of Friction Foldable Activity!
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Gravity A force that acts between any two masses An attractive force (it pulls objects together) Unlike friction, gravity can act over large distances (think skydiving!)
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Gravity (continued) Earth’s gravity acts downward toward the center of the Earth
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Falling Objects Both gravity and air resistance affect the motion of a falling object Gravity causes objects to accelerate downward Air resistance acts in the direction opposite to the motion, reducing acceleration
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Flying Squirrels… As objects fall they accelerate (gain speed) As speed increases, air resistance increases If an object falls long enough, the upward force of air resistance eventually will equal the downward force of gravity Forces are balanced, acceleration is zero and the object continues falling at a constant velocity
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Terminal Velocity Constant velocity of a falling object when the force of air resistance equals the force of gravity
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Projectile Motion The motion of a falling object (projectile) after it is given an initial forward velocity The only forces acting on a projectile are gravity and air resistance
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Projectile Motion (Continued) The combination of an initial forward velocity and the downward vertical force of gravity causes the ball to follow a curved path
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12.2 Newton’s First & Second Laws of Motion
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Newton’s First Law of Motion The state of motion of an object does not change as long as the net force acting on the object is zero An object at rest remains at rest An object in motion remains in motion with the same speed and direction (i.e. no acceleration) An unbalanced force must be acting on an object if the object is accelerating
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Brainstorm What are some everyday events that give evidence of Newton’s first law?
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Inertia Newton’s first law is called the “Law of Inertia” Inertia is the tendency of an object to resist change in motion
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Beach Ball Activity
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Crash Test… Seatbelts... To wear or not to wear? Seatbelts... To wear or not to wear?
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Unbalanced Forces Unbalanced forces cause an object’s velocity to change If velocity is change, the object is accelerating (a change in speed or direction) The acceleration of an object depends on both the force acting on it and the mass of the object Mass A measure of the inertia of an object; depends on the amount of matter an object contains
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2 nd Law of Motion The acceleration of an object is equal to the net force acting on it divided by the object’s mass Acceleration = Force Mass F a = m
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Acceleration Always in the same direction as the net force REMEMBER N = 1kgm/s 2
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Math Practice (guided) An automobile with a mass of 1000 kilograms accelerates when the traffic light turns green. If the net force on the car is 4000 newtons, what is the car’s acceleration?
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More 2 nd Law Examples #1 A boy pushes forward a cart of groceries with a total mass of 40.0 kg. What is the acceleration of the cart if the net force on the cart is 60.0 N? #2 An automobile with a mass of 1200 kg accelerates at a rate of 3.0 m/s 2 in the forward direction. What is the net force acting on the automobile?
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Weight vs. Mass Weight is the force of gravity acting on an object Weight = Mass x Acceleration due to gravity Weight is a measure of the force of gravity acting on an object
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12.3 Newton’s Third Law of Motion and Momentum
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Newton’s Third Law Whenever one object exerts a force on a second object, the second object exerts an equal and opposite force on the first object For every action there is an equal and opposite reaction Action and reaction forces are equal in size and opposite in direction
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Action-Reaction Forces DO NOT CANCEL Action forces and reaction forces act on different objects so they do not cancel each other out Net force only equals zero if opposite forces are acting on the same object
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Example 1 A swimmer uses her arms to push against the water (ACTION FORCE) The swimmer is propelled forward because the water exerts a force on the swimmer (REACTION FORCE)
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Example 2 Hammer hitting a nail into a piece of wood Action Force? Reaction Force?
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Example 3 Your bumper car runs in to another bumper car Action force? Reaction force?
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Momentum The product of an object’s mass and its velocity An object has a large momentum if the product of its mass and velocity is very large Momentum = Mass (kg) x Velocity (m/s)
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The momentum of an object at rest is zero because it has no velocity
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Which has more momentum? A 0.046 kilogram golf ball with a speed of 60.0 meters per second Or a 7.0 kilogram bowling ball with a speed of 6.0 meters per second?
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Conservation of Momentum What happens to momentum when objects collide? It is conserved (or stays the same) If no net force acts on a system then the total momentum of the system does not change
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The loss of momentum of one object equals the gain in momentum of another object
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12.4 Universal Forces
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4 Universal Forces These four forces exist everywhere in the universe Electromagnetic Forces Strong Nuclear Forces Weak Nuclear Forces Gravitational Forces
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Gravitational Force The weakest universal force Definition An attractive force that acts between any two masses Newton’s law of universal gravitation states that every object in the universe attracts every other object
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Examples Your desk is exerting a gravitational force on you and you are exerting a gravitational force on your desk. The person next to you is exerting a gravitational force on you, and you are exerting a gravitational force on them Believable?
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Here’s why you don’t feel it… It takes an enormous mass (like Earth’s) to exert a large gravitational force
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The Earth & Moon Newton’s 1 st law says that unless a force acts on an object, the object will continue to move along a straight line path Earth’s gravitational force on the moon keeps the moon in orbit around Earth
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Centripetal Force A center-directed force that continuously changes the direction of an object to make it move in a circle Gravity on Earth is a center-directed force, so object that are close enough to earth to be affected by gravity move in a circular path around Earth
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Satellites in Orbit Launched into orbit by a rocket or space shuttle Because they have an initial velocity (and because there is virtually no friction in space), satellites will move in a circular path around Earth at a constant speed The centripetal force of gravity results in a circular path around Earth
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