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Forces are usually divided into two types. 1. Contact forces occur because of physical contact between objects. Examples: pushing open a door pulling on a rope 2. Field forces – Act at a distance through space. The presence of an object effects the space around it, creating a region of space around the object called a field. Example: gravitational field magnetic field around a magnet CONTACT FORCES Normal force 𝐅𝐧 Force that prevents an object from falling through the surface of another body Always acts perpendicular to the surface Always equals the forces applied to the surface (or surface will break!) Fn mg Called the ‘normal’ force because it is always normal (perpendicular) to the surface. CONTACT FORCES Normal force 𝐅𝐧 Force that prevents an object from falling through the surface of another body Always acts perpendicular to the surface Always equals the forces applied to the surface (or surface will break!) Fn Fn Ffr Fn F mg mg CONTACT FORCES Friction force Ffr Friction is a force that is created whenever two surfaces move or try to move across each other. Friction always opposes the motion or attempted motion of one surface across another surface. Friction is dependent on the texture/roughness of both surfaces. Friction is also dependent on the force which presses the surfaces together. motion friction CONTACT FORCES Air resistance / Drag When an object moves through air or any other fluid, the fluid exerts a friction-like force on the moving object. The force is called drag. Drag depends upon the speed of the object, becoming larger as the speed increases. (UNLIKE FRICTION!) Drag also depends upon the size and the shape of the object and the density and kind of fluid. (UNLIKE FRICTION!) B/c drag increases with speed, object moving through the air reach a terminal velocity – a maximum speed at which Fg = Fdrag so there is no more acceleration. CONTACT FORCES Air resistance / Drag When an object moves through air or any other fluid, the fluid exerts a frictionlike force on the moving object. The force is called drag. Drag depends upon the speed of the object, becoming larger as the speed increases. (UNLIKE FRICTION!) Drag also depends upon the size and the shape of the object and the density and kind of fluid. (UNLIKE FRICTION!) Without drag, raindrops would fall 340 m/h. With drag, they only fall 17 m/h. CONTACT FORCES Tension the force that the end of the rope exerts on whatever is attached to it. Direction of the force is along the rope. T2 T1 physics T2 What is the relative force along the two yellow arrows? Why? CONTACT FORCES Spring Force Force due to the elasticity of a material Depends on the elasticity of the spring Direction is opposite displacement CONTACT FORCES: THINK PAIR SHARE Type of Force Normal Friction Drag Tension Spring Direction CONTACT FORCES: THINK PAIR SHARE Type of Force Direction Normal Perpendicular to surface, opposite applied / gravitational forces Friction Opposite motion Drag Opposite motion Tension Along the rope & opposite motion Spring Opposite displacement FIELD FORCES Field Forces Relative Strength Action Distance Gravitational Force attraction between objects due to their masses 10-45 Infinite – but decreases with square of distance Electromagnetic Force between charges 10-2 Infinite – but decreases with square of distance Strong Nuclear Force keeps nucleus together 1 Very short! Weak Nuclear Force arise in certain radioactive processes 10-8 Very very short! FIELD FORCES Field Forces Relative Strength Action Distance Gravitational Force attraction between objects due to their masses 10-45 Infinite – but decreases with square of distance Electromagnetic Force between charges 10-2 Infinite – but decreases with square of distance Strong Nuclear Force keeps nucleus together 1 Very short! Weak Nuclear Force arise in certain radioactive processes 10-8 Very very short! At the atomic level – all contact forces are result of repulsive electromagnetic forces – the repulsion of atoms’ electric fields HOW TO SOLVE FORCE PROBLEMS 1. 2. 3. Draw a free body diagram – label all the forces acting on one object. Add up the forces Apply Newton’s second law: F = ma. 3. Identify forces that act on the system How to draw a force diagram Label them on diagram 1. Choose NONE body to be isolated decision: cart dog or the cart? F dog Make a simple sketch of the system – point system F2. fr Fnet mg 4. Find out the net force by adding the force vectors 5. Apply Newton’s second law Fnet = ma WE DO PROBLEMS Superman lifts a 35,000 kg truck off Jimmy Olsen at a constant velocity of 10 m/s. How much force did Superman apply to the truck? Fapp F = 0 because there is no net acceleration. Fgravity Fapplied = Fgravity = mg = 35000*9.8 = 340000 N Now Lois Lane is the one trapped under a semi. Superman applies a 450,000 N force to fling the truck off of Lois. How fast does the truck accelerate? Fapp Fapplied - Fgravity = ma 450000 - (35000*9.8) = 3.1 m/s2 35000 Fgravity YOU DO PROBLEMS A bookbag is hanging from your shoulder by one strap. Draw a free body diagram, making sure that your forces are proportional. F tension Fgravity A fish accelerates as it swims horizontally through the water. It experiences an applied force (forward from the water hitting its fins), drag, buoyancy (upward force from the water), and gravity. Draw the free body diagram, making sure that your forces are proportional. Fbouyancy Fdrag Fapplied Fgravity YOU DO PROBLEMS Does a net force exit? Yes or no. Yes … it is accelerating No. It has constant velocity No. It has constant velocity. No, it has constant velocity. Yes, it is accelerating. Yes, it is accelerating. YOU DO PROBLEMS For each problem, determine the value of the unknown forces. YOU DO PROBLEMS For each problem, determine the acceleration of each block. Each block has a mass of 10 kg. A: No acceleration; forces are balanced. B: Fnet= 5N left a = F/m = 0.5 m/s2 left C: No acceleration; forces are balanced. D: Fnet = 15 N up a = F/m = 1.5 m/s2 up