CHAPTER 2 Scientists’ Ideas NEWTON’S LAWS When scientists study the interactions between objects they sometimes find it convenient to analyze and explain them in terms of the forces the objects exert on each other, rather than in terms of the energy transfers between them. The link between the forces acting on an object and its motion fascinated scientists for a long time. In the 4th century BC the Greek philosopher Aristotle concluded, from watching the world around him, that in order for an object to move at a constant speed, it was necessary to maintain a constant push on it. As a consequence he said that if no such push acted, it was the natural motion of an object to slow and stop. Amazingly, Aristotle’s ideas stood almost unchallenged for some 2000 years! It was not until the early 17th century AD that Aristotle’s ideas were seriously challenged, by the Italian scientist Galileo. Among Galileo’s many contributions to science was his assertion that moving objects tend to slow and stop because of some outside resistance to their motion, not because it is their natural tendency to do so. In the late 17th century Sir Isaac Newton, building on the work of Galileo and others, published his ideas, which have come to be known as Newton’s Laws of Motion. Written in the language we have been using in this course, Newton’s first two laws state: 1ST LAW: If no forces (or a combination of forces that is balanced) act on an object then, if it is at rest, it will remain at rest, and if it is in motion, it will continue to move in a straight line path at a constant speed. 2nd LAW: If a single force (or a combination of forces that is unbalanced) acts on an object, its speed and/or its direction will change. How quickly the speed (and/or direction) changes is directly related to the strength of the net force and inversely related to the object’s mass. These statements of Newton’s Laws contain many ideas. These are listed below. Read through these ideas with your group and, below each idea, make a note of the evidence or examples you have seen in your investigations that support each idea. ©2007 PET 2-141 Chapter 2 Idea N1 – Interactions described in terms of forces: The interaction between two objects may be described in terms of the force (a push or pull) that one object exerts on the other. To describe a force fully we need to know its strength and its direction. The strength of a force is measured in units of newtons (N). Forces are exerted between objects only while the objects interact, and are not transferred from one object to another. Energy can be transferred to (or from objects), but not forces. A force diagram uses arrows to represent the forces acting on an object at a particular moment. The length of the arrows represents the relative strengths of the forces. When an object is in motion, its force diagram should also include a speed arrow to show in which direction it is moving. Two examples are shown below: Force diagram for a cart moving to the right and being pushed in the direction of motion by a fan unit. Force diagram for a cart moving to the right but being pushed to the left by a frictional force that opposes its motion. Direction of motion Force exer ted on cart by fan u nit Direction of motion Frictional f orce exe rted on cart by track Evidence/examples: Idea N2 - Force on an object at rest: If a single force acts on an object at rest, the object will begin to move in the direction of the force. Evidence/examples: 2-142 Scientists’ Ideas: Newton’s Laws Idea N3 - Force in direction of motion: If a single force acts on an object in the same direction as its motion the object’s speed will increase. (When the speed of an object changes scientists say it is accelerating.) Evidence/examples: Idea N4 - Force in direction opposite to motion: If a single force acts on an object in the direction opposite to its motion the object’s speed will decrease. (Scientists call this accelerating too, since a decrease in speed is also a change.) Evidence/examples: If the force continues to act, the object may eventually stop and even reverse direction. Evidence/examples: Friction An example of a force that always opposes motion is friction. It is caused by the contact interaction between tiny bumps and irregularities in the surfaces of objects as they rub together. Evidence/examples: 2-143 Chapter 2 Idea N5 - Strength of force and change in speed: When a single force acts on an object, the greater the strength of the force the higher the rate of change of the object’s speed. Evidence/examples: Idea N6 - Mass and change in speed: When a single force acts on an object, the more mass the object has, the lower the rate of change of the object’s speed. (Scientists call this property of objects their inertia.) Evidence/examples: The effects of both force-strength and mass on the rate of change of speed of an object (Ideas N5 and N6) can be combined into a single relationship: Rate of change in speed~ Strength of force Mass of object Scientists define the rate of change in speed of an object (that is, how much it’s speed changes in one second) to be its acceleration. Idea N7 - Effect of no forces: If there are no forces acting on an object at rest then the object will remain at rest (constant speed of zero). If no forces act on an object in motion then the object will remain in motion at a constant speed (greater than zero). If no forces act on an object in motion then the path of the object will be a straight line. Evidence/examples: 2-144 Scientists’ Ideas: Newton’s Laws Idea N8 - Force from the side: If a force acts on a moving object in a direction that is neither along the line of the object’s motion, nor directly opposed to it, then the object’s path will change direction. Evidence/examples: Idea N9 - Curved path: If a continuous force acts on a moving object in a direction that always points toward a common center, the object’s path may curve around the center. Evidence/examples: Idea N10 - Combinations of forces: When more than one force acts on an object, the effect they have on the object’s motion is due to the combination of these forces. If the strengths and directions of the individual forces are such that their combination results in an exact balancing of forces in opposite directions, the forces are said to be balanced. When balanced forces act on an object, its speed and direction remain unaffected, in exactly the same way as if no forces acted on it. (This is an extension of Idea N7 above.) If the strengths and directions of the individual forces are such that their combination does not result in an exact balancing of forces in opposite directions, the forces are said to be unbalanced. When unbalanced forces act on an object, the object’s speed and/or direction changes, just as it does when an equivalent single force acts on it. (This is an extension of Ideas N2 to N6, N8 and N9 above.) 2-145 Chapter 2 When the forces acting on an object are added and/or subtracted to give an equivalent single force, scientists call the result the net force. Unbalanced forces on an object in motion Balanced forces on an object at rest Dire ction of mo tion 200 N 150 N Equivalent to single force 200 N 200 N Equivalent to no forces Direction of mo tion 50 N Net force = 0 N Net force = 50 N to the left Evidence/examples: 2-146
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