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Chapter 4 Forces in One Dimension In this chapter you will: Use Newton’s laws to solve problems. Determine the magnitude and direction of the net force that causes a change in an object’s motion. Classify forces according to the agents that cause them. *VD Note Chapter 4 Table of Contents Chapter 4: Forces in One Dimension Section 4.1: Force and Motion Section 4.2: Using Newton's Laws Section 4.3: Interaction Forces Section Force and Motion 4.1 In this section you will: • Define force. • Apply Newton’s second law to solve problems. • Explain the meaning of Newton’s first law. Newton’s Contributions • Calculus • Light is composed of rainbow colors • Reflecting Telescope • Laws of Motion • Theory of Gravitation Force A force is a push or pull. An object at rest needs a force to get it moving; a moving object needs a force to change its velocity. The magnitude of a force can be measured using a spring scale. Section 4.1 Force and Motion Force and Motion Consider a textbook resting on a table. How can you cause it to move? Two possibilities are that you can push on it or you can pull on it. The push or pull is a force that you exert on the textbook. If you push harder on an object, you have a greater effect on its motion. The direction in which force is exerted also matters. If you push the book to the right, the book moves towards right. The symbol F is a vector and represents the size and direction of a force, while F represents only the magnitude. Section 4.1 Force and Motion Force and Motion When considering how a force affects motion, it is important to identify the object of interest. This object is called the system. Everything around the object that exerts forces on it is called the external world. Section 4.1 Force and Motion Contact Forces and Field Forces Think about the different ways in which you could move a textbook. You could touch it directly and push or pull it, or you could tie a string around it and pull on the string. These are examples of contact forces. A contact force exists when an object from the external world touches a system and thereby exerts a force on it. Section 4.1 Force and Motion Contact Forces and Field Forces If you drop a book, the gravitational force of Earth causes the book to accelerate, whether or not Earth is actually touching it. This is an example of a field force. Field forces are exerted without contact. Forces result from interactions; thus, each force has a specific and identifiable cause called the agent. Without both an agent and a system, a force does not exist. A physical model which represents the forces acting on a system, is called a free-body diagram. Section 4.1 Force and Motion Contact Forces and Field Forces Click image to view movie. Section 4.1 Force and Motion Combining Forces When the force vectors are in the same direction, they can be replaced by a vector with a length equal to their combined length. If the forces are in opposite directions, the resulting vector is the length of the difference between the two vectors, in the direction of the greater force. Vector sum of all the forces on an object is net force. Demo – 1st law Section Force and Motion 4.1 Newton’s First Law • What is the motion of an object with no net force acting on it? A stationary object with no net force acting on it will stay at its position. • Galileo did many experiments, and he concluded that in the ideal case of zero resistance, horizontal motion would never stop. • Galileo was the first to recognize that the general principles of motion could be found by extrapolating experimental results to the ideal case, in which there is no resistance to slow down an object’s motion. Section Force and Motion 4.1 Newton’s First Law • In the absence of a net force, the motion (or lack of motion) of both the moving object and the stationary object continues as it was. Newton recognized this and generalized Galileo’s results in a single statement. • This statement, “an object that is at rest will remain at rest, and an object that is moving will continue to move in a straight line with constant speed, if and only if the net force acting on that object is zero,” is called Newton’s first law. Section 4.1 Force and Motion Newton’s First Law Newton’s first law is sometimes called the law of inertia. Inertia is the tendency of an object to resist change. If an object is at rest, it tends to remain at rest. If it is moving at a constant velocity, it tends to continue moving at that velocity. Forces are results of interactions between two objects; they are not properties of single objects, so inertia cannot be a force. Section 4.1 Force and Motion Newton’s First Law If the net force on an object is zero, then the object is in equilibrium. An object is in equilibrium if it is at rest or if it is moving at a constant velocity. Newton’s first law identifies a net force as something that disturbs the state of equilibrium. Thus, if there is no net force acting on the object, then the object does not experience a change in speed or direction and is in equilibrium. Forces may be balanced or unbalanced • Balanced forces – all forces acting on an object are equal – There is NO MOTION • Unbalanced forces – one or more forces acting on an object are stronger than others – There is MOTION • A NET FORCE Balanced Force •Equal forces in opposite •directions produce no motion Unbalanced Forces •Unequal opposing forces •produce an unbalanced force •causing motion If objects in motion tend to stay in motion, why don’t moving objects keep moving forever? •Things don’t keep moving forever because there’s almost always an unbalanced force acting upon them. •A book sliding across a table slows down and stops because of the force of friction. •If you throw a ball upwards it will eventually slow down and fall because of the force of gravity. Section Force and Motion 4.1 Newton’s First Law • Some of the common types of forces are displayed on the right. • When analyzing forces and motion, it is important to keep in mind that the world is dominated by resistance. Newton’s ideal, resistancefree world is not easy to visualize. Mass & Inertia Which vehicle has more inertia? • Mass is the amount of matter in an object. • The more MASS an object has, the more INERTIA the object has. • Bigger objects are harder to start & stop Slide from www.science- Newton’s 1st Law (also known as the law of inertia) • A moving object moves in a straight line with constant speed unless a force acts on it. • The tendency of an object at rest to remain at rest and an object in motion to remain in motion unless acted upon by an unbalanced force. • Objects do not change their motion unless a force acts on them •The truck is in motion. What is the force that causes it to stop? •The push of the stopped car. •The car is at rest. What is the force that causes it to move? •The push of the truck. •Slide from www.science- Newton’s First Law (law of inertia) • INERTIA is a property of an object that describes how •much it will resist change to ______________________ the motion of the object •mass •inertia • more _____ means more ____ 1st Law • Unless acted upon by an unbalanced force, this golf ball would sit on the tee forever. Objectives • Explain what is meant by the term net force. • Apply the Law of Inertia to explain physical phenomena. • Investigate in order to determine the relationship between weight and mass. • Define each of the following terms: mass, inertia, weight and distinguish between mass and weight. What is this unbalanced force that acts on an object in motion? • There are four main types of friction: – Sliding friction: ice skating – Rolling friction: bowling – Fluid friction (air or liquid): air or water resistance – Static friction: initial friction when moving an object 1st Law • Once airborne, unless acted on by an unbalanced force (gravity and air – fluid friction) it would never stop! Inertia Newton’s First Law When the motorcycle stops, the rider continues his motion. Terminal Velocity Exploration • Mass and Weight Lab (No lab write up.) Elaboration Computer Activity for Newton’s First Law • http://www.physicsclassroom.com/Class/n ewtlaws/u2l1a.cfm Closure • When the pellet fired into the spiral tube emerges, which path will it follow? (neglect gravity) • Kahoot Answer • While in the tube, it is forced to curve, but when it gets outside, no force is exerted on the pellet and (law of inertia) it follows a straight – line path…B! Inertia Evaluation • Carpenters use different hammers for different jobs. A tack hammer is a light hammer used for small nails in delicate situations. A regular hammer is heavier and is used for larger nails in building walls. Compare the two hammers using Newton’s 1st law in terms of the hammers’ function, advantages and disadvantages.