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Isaac Newton (1642 – 1727) Newton’s Laws of Motion What is a Force? Force can be defined as a or a or anything else that has the ability to change motion. In SI units, a force is measured in newtons (N). One newton is about the amount of force it takes to lift a quarter-pound cheeseburger. How do you figure force? F=m•a Force = mass x acceleration Newton (N) (kg) (m/s2 ) Easier than saying kilogram m/sec2 To Understand Force… You must understand the difference between AND 2 Kg Mass What is Mass? The amount of “matter” in an object. 1 Kg Mass 1.5 Kg Mass Mass is measured in kilograms. 2 Kg Mass How is Mass Different Than Weight? Weight is mass times the force of gravity Weight is a measurement of FORCE. 9.8 N (1.5 kg x 9.8 Acceleration due to gravity (9.8 m/s2) 1.0 Kg Mass 19.7 N 14.8 N (1 kg x 9.86 m/s2) F=ma (2 kg x 9.86 m/s2) 6m/s2) Acceleration due to gravity (9.8 m/s2) Acceleration due to gravity (9.8 m/s2) 1.5 Kg Mass 2.0 Kg Mass How can you measure force? Calculate mass x acceleration. 8 100 Kg Mass is 220 lbs Being pulled by different gravity? Your weight may be different. However, your mass never changes. On the moon 220 lbs. would weigh 35 lbs. On the sun 220 lbs. would weigh 5,956 lbs. On Mars 220 lbs. would weigh 82.9 lbs. What’s “Your Weight On Other Worlds?” http://www.exploratorium.edu/ronh/weight/ Isaac Newton is the first scientist responsible for formulating laws regarding motion. These laws explain why objects move (or don't move). Let’s look at Newton's three laws of motion... An object will remain at rest unless acted upon by an “unbalanced” force. An object in motion will continue with constant speed and direction, unless acted on by an unbalanced force. This law shows how force, mass and acceleration are related as shown in the equation below: Force = mass x acceleration For every action force there is an equal and opposite reaction force. Newton’s First Law: Balanced Forces An object will maintain a constant state of motion. (Speed and direction remain unchanged) This means an object at rest tends to stay at rest and an object in motion continues in the same direction with the same speed. Balanced Forces This is known as Stay at rest: a book on a table Science Inertia Table pushes up on book Gravity pulls down on book Stay in motion: a bowling ball tossed in space It will go on and on forever. Newton’s First Law: Unbalanced Forces An unbalanced force is a force that changes the motion. The book below slides and then stops because of a resistant force called friction. Friction is force that opposes motion. Force of friction stops the book Science In space there is no resistance to cause friction, so a bowling ball would stay in motion… unless another object got in the way What causes friction? There are two factors which affect friction between two surfaces: – Kind of surfaces in contact (rough or smooth) – Amount of force pressing the surfaces together The rougher the surface and the stronger the force between the surfaces, the greater the amount of friction. Of course “frictional” force happens on earth... but, if you weren’t wearing a safety belt you would continue your motion… Don’t let this happen to you! BUCKLE UP!!!! There are 4 types of friction 1) Static friction: friction between two surfaces which are not moving past each other Example: trying to move a box and it will not move There are 4 types of friction 2) Sliding friction: occurs when a force is great enough to overcome the static friction Example: two people create enough force to make the box move There are 4 types of friction 3) Rolling friction: the friction which enables wheels to turn and objects to move There are 4 types of friction 4) Fluid friction: occurs when an object moves through a gas or liquid Newton’s Second Law: Force = Mass X Acceleration Force and acceleration are related. 120 kg Lineman F= ma 100 kg Center a F= m Scenario # 1 Look at the situation above. If the acceleration 3 m/s2 from the snap was equal between these players, then who would have the advantage of force? Scenario # 2 Now, let’s say the Center has a 1 m/s2 advantage over his opponent at an acceleration of 4 m/s2 from the snap. Now who has the advantage of force? Lineman = 3 m/s2 x 120 kg is 360 N Lineman = 3 m/s2 x 120 kg is 360 N Center = 3 m/s2 x 100 kg is 300 N Center = 4 m/s2 x 100 kg is 400 N The Lineman has the advantage. Now, the Center has the advantage. Solving Force Problems Step 1 Read the problem. Draw a picture. Step 2 Write down what you know. What are you trying to find? Step 3 Set up the formula. Step 4 Plug-in the numbers. Solve. Consider the problem… “How much force is needed to accelerate a 1400 kg car 2 m/s2? ” Step 1 Read the problem. Draw a picture. 1400 kg car 2 m/s2 F= m= a= Formula Plug-in Units, units, units! Answer “How much force is needed to accelerate a 1400 kg car 2 m/s2? ” Step 2 Write down what you know. What are you trying to find? 1400 kg car How much force? 2 m/s2 F= m =1400 kg a = 2 m/s2 Formula Plug-in Units, units, units! Answer “How much force is needed to accelerate a 1400 kg car 2 m/s2? ” Step 3 Set up the formula. F=mxa F= m =1400 kg a = 2 m/s2 Formula mxa Plug-in Answer “How much force is needed to accelerate a 1400 kg car 2 m/s2? ” Step 4 Plug-in the numbers. Solve. 2800kg x m/s2 or N for newtons…it’s easier to write! F= m =1400 kg a = 2 m/s2 Formula F = ma Plug-in 1400 kg x 2 m/s2 Units, units, units! Answer 2800 kg x m/s2 HELPFUL HINTS: a=F/m F=mxa m= F/a F M A There are 2 kinds of forces 1) Normal force: the force a surface exerts on an object that is pressing on it There are 2 kinds of forces 2) Net force: the sum of two or more forces on an object Newton’s Third Law: Action Forces = Reaction Forces For every action there is an equal and opposite reaction. Look at the picture below: What is the action? As the gases push downward out of the rocket, What is the reaction? The rocket is pushed upward by gases. An object will remain at rest unless acted upon by an “unbalanced” force. An object in motion will continue with constant speed and direction, unless acted on by an unbalanced force. This law shows how force, mass and acceleration are related as shown in the equation below: Force = mass x acceleration For every action there is an equal and opposite reaction. The Story of Newton’s Apple Newton sat under an apple tree, and an apple fell on his head. That falling apple gave him a revelation and led him to describe a force called GRAVITY. But DON’T think of gravity as falling… It is the pull (force) that an object has on another object. Gravity is the force that ALL objects in the UNIVERSE exert between each other... Newton said that gravitational force depends on 2 things: The DISTANCE of the objects The MASS of the objects Less gravitational force compared to... more gravitational force here The blue objects have more gravitational force between them than the green objects. This is because the blue objects have more MASS.