Newton’s Laws Force and Motion The relationship between a force and the acceleration it causes was first described by Isaac Newton (16421727). Newtonian Mechanics Although Newtonian mechanics are able to describe most interactions, they do not apply to all situations. For very large speeds (an appreciable fraction of the speed of light), we must use Einstein’s Special Theory of Relativity. On an atomic scale, we must use quantum mechanics. If there is no net force on an object, it will not accelerate (or its velocity will not change). Newton’s 1st Law In more familiar words: An object at rest will stay at rest unless acted on by a net force; likewise an object in motion will stay in motion unless acted on by a net force. What is a force? Forces are generally defined as something that causes a change in an objects motion (acceleration). Categorized as either contact forces or field forces The net force on an object is equal to the product of the object’s mass and its acceleration. Newton’s 2nd Law 𝐹 = ma Only consider forces acting on a single object when using this equation. For every force, there is an equal and opposite force. Newton’s 3rd Law When two objects interact, the forces on the objects from each other are always equal in magnitude but opposite in direction. Common Forces Gravitational Normal Tension Friction Any two objects with mass exert a force on each other. For now, gravitational force on an object is caused by the Gravitational interaction between the object Force and the earth. 𝐹𝑔 = 𝑚𝑎𝑔 The force of gravity on an object is called its weight. Mass is the measure of how much matter makes up an object. Mass and Inertia An object’s mass determines its ability to resist a change in its state of motion (an acceleration) -- Inertia The normal force on an object is the reaction force caused by contact between the object and another surface. Normal Force The normal force is always perpendicular to the contact surface. When a cord is attached to an object and pulled taut, a force is exerted on (and away) from the object, because the cord is said to be under tension. Tension The cord is often defined as massless and unstretchable. Friction results from the two surfaces being pressed together closely, causing intermolecular attractive forces between molecules of different surfaces. Friction As such, friction depends upon the nature of the two surfaces and upon the degree to which they are pressed together. 𝑭𝒇 = 𝝁𝑭𝑵 Frictional Force Lab