Quinlan Physics While most people know what Newton's laws say, many people do not know what they mean (or simply do not believe what they mean). Born 1642 December, 25 Calculus Gravity 3 Laws of Motion Alchemy Theology 1st Law – An object at rest will stay at rest, and an object in motion will stay in motion at constant velocity, unless acted upon by an unbalanced force. (Inertia: Resists change) 2nd Law – Force equals mass times acceleration. (F= m x a) 3rd Law – For every action there is an equal and opposite reaction. (Action/Reaction) Newton’s 1st Law – class demo Inertia: the ability of an object to resist change Net Force: the total force of a system Mass: the amount of matter in an object Force: something that is capable of changing an object’s state of motion If it has mass it has inertia… An object at rest will stay at rest, and an object in motion will stay in motion at constant velocity, unless acted upon by an unbalanced force. Inertia is the tendency of an object to resist changes in its velocity: whether in motion or motionless. These apples will not move unless acted on by an unbalanced force. Once airborne, unless acted on by an unbalanced force (gravity and air – fluid friction), it would never stop! Unless acted upon by an unbalanced force, this football would sit on the tee forever. Why then, do we observe every day objects in motion slowing down and becoming motionless seemingly without an outside force? It’s a force we sometimes cannot see – friction. Objects on earth, unlike the frictionless space the moon travels through, are under the influence of friction. Cleats give us extra friction on the grass! Forces acting on a body Examples of Cone Balanced forces occur when Fnet= 0 N Unbalanced forces occur when Fnet = 0 N Weight: the force due to the acceleration of gravity Fw= m(g) Emilio is driving a Tacoma which is towing a trailer with a constant force of 440N. If the total mass of the trailer and its contents are 275kg, what is the trailer’s acceleration and direction? Newton identified force as the cause of motion (Hect) F = m x a Action-Reaction means all forces occur in pairs Forces are VECTORS! Push/Pull Electrical Magnetic Nuclear Gravity As weight Friction We will deal with primarily contact forces here! These are “action at a distance” forces- move mysterious Push o’ war with the chair Clearly, the stronger force wins Concurrent Forces- Forces acting on the same point at the same time Net Force= the sum of Concurrent Forces= the Resultant Force Free 120N Fs=120N Body Diagram (FBD) Simplifies Picture Centralizes mass 100N Fp=100N Fnet=20N A drag racer screams along at 190 mph, its engine is delivering a force of 40,000N and a friction of 770N. The parachute accidentally deploys, adding 2975N of drag. Find the net force. Use FBD. Is the car still speeding up? Fnet=36,255N Read section 4.5, including the “Harrier”, sample problems and solutions. Then skip to example 4.8 pg. 121-122 Watch http://kevandang.textamerica.com/?r=34750 57 Fn is called the normal force It means it is perpendicular to the surface being used Θ will usually be less than Fn*Fw Fn= Fw*cos(Θ) Fp= Fw*sin(Θ) P means it is parallel to surface Equilibrium- state of motion where acceleration = 0 Translational Equilibrium- a=0, all forces in balance. (Can be rotating at constant speed.) Equilibrant Force- The force that operates opposite to the resultant force of a system, causing it to slow down. Moving and groovin’ with a spring scale Lifting Pulling Angled Statics- The study of equilibrium, using reaction forces through supports to cancel forces. 1st true engineering class!!!! The table weighs 200N. It has 162N of boxes centered perfectly on the table. Find the weight supported by each leg. Use a FBD. Let’s combo force and F=m x a concept. The Mine excavator with the coal… Calculate the acceleration, and FT Try it on your own In your lab book write forces in 2D Select: -car -pulley -string -a mass Calculate the acceleration going off the side of the table and solve the FBD for your system. Weighed down on two sides In an Atwood's machine experiment, the larger mass is 1.8 kg and the smaller mass is 1.2 kg. Ignoring friction, what is the acceleration of the masses? What is the tension in the string? The net force on each mass is given in the two equations 1.8a = 1.8g -T 1.2a = T - 1.2g Since a and T are the same for both masses, add the two equations: 3.0a = .6g a = .2g = 1.96 m/s^2 Substituting for a in the first equation: 1.8(1.96) = 1.8(9.8) - T T = 14.1 N An elevator has a mass of 1150kg and the elevator has a counterweight with the mass of 1000kg. Find the acceleration and Tension Force. Jack and Jill ran down the hill, carrying a 10kg pail of water. The they held created a 60 degree angle. Calculate the tension in the rope. A 20.0 kg mass is pulled by along a surface by a horizontal force of 100 N. Friction is 20.0 N. What is the acceleration of the mass? Sum of forces (vertical forces cancel as evidenced by lack of acceleration in the vertical dimension) Fnet = T + Ff Fnet = (100 N) + (-20.0 N) = 80 N A 49-N block is pulled by a horizontal force of 50.0 N along a rough horizontal surface at a constant acceleration of 6 m/s^2. What is the coefficient of friction? In the vertical axes forces are equal and opposite as there is no vertical acceleration. FN = -Fg FN = mg = 49 N m = 49/9.81 = 4.99 kg In the horizontal axis Fnet = T + Ff Fnet = (50 N) + Ff Newton's Second Law: Fnet = ma Fnet = (4.99 kg)(6) = 30.0 N Ff=20 N Obviously, if forces are vectors, they can be resolved into components as well as added. While the resolution of forces will not focus as much on the concepts of vertical and horizontal, the goal will be to create right triangles and ease the trigonometry. An 18 kg box is secured on an incline plane at an angle of 35 degrees by string that can support 97 N of force. A. Show mathematically whether or not the string will hold. B. If the string breaks and the block accelerates down the ramp, and if there is no friction, what is the acceleration of the box? Friction- a force that operates in the direction opposite to motion due to contact between surfaces. Draw ridged surfaces 1. Lubrication-wax on snowboard 2. Rollers 3. Smooth Surfaces- air hockey table 4. Reduce Weight-car, skis I push a lawn mower with 450N of force. The handle forms a 35 degree angle with the ground. What force do I push forward with? What force do I push down with? Find the normal force if the mover is 10kg, find a is optional The 1500 kg truck is on a 40 degree incline. Find the acceleration down hill of the truck if the emergency brake is on and reset it. Studies have shown that even the smoothest surface can develop friction- mysterious, but most likely “sticky” electrical interactions between the molecules. Jack and Jill ran down the hill, carrying a 10kg pail of water. The pail they held created a 60 degree angle between their arms. Calculate the tension in the rope. Ben is walking his 93kg pot belly pig with a and pulling with a force of 120N at 37 degree above the horizontal. What is the acceleration of the pot belly pig? What is the Normal Force? A baby elephant pulls a small tree with the mass of 30 kg with a force of 200N at an angle of 30 degrees. Ignore friction, what’s the acceleration and Normal Force?