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Transcript
Newton’s Laws of Motion 1 Newton’s Laws of Motion In this chapter we will study Newton's laws of dynamic motion. These are some of the most fundamental and important principles in physics. Dr. Loai Afana 2 What is the force • Intuitively, we know that force is a “push” or “pull”. Idea: Force is the cause of motion in classical mechanics. • Forces come in different classes (types): 1- Contact Forces : involve physical contact between objects Example: friction, viscosity etc… 2- Field Forces :don't involve physical contact between objects Examples: Gravity, Electromagnetism Dr. Loai Afana 3 Force F is a vector quantity: You push or pull in a specific direction Dr. Loai Afana 4 Fundamental force in nature Dr. Loai Afana 5 :In 1686, Newton presented his Three Laws of Motion Newton’s First Law An object at rest remains at rest, and an object in motion continues in motion with constant velocity, unless it experiences a net force. F 0 Q: what dose mean: Velocity is constant ??? (i.e. acceleration = 0): there is no force (or if all forces add to zero). Q: can an object has an eastward velocity while experiencing a westward acceleration? (Example) 6 Newton's first law sometimes called the law of inertia Inertia Frames The tendency of an object to resist a change in its velocity is called inertia. The measure of inertia is mass. – SI units measure mass as kilogram (kg=1000g) Newton’s First Law: If F = 0, then a=0. What if F 0? Dr. Loai Afana 7 Newton’s Second Law The acceleration of an object is directly proportional to the resultant force acting on it, and inversely proportional to its mass. The direction of the acceleration is the direction of the resultant force. a F or F ma m The SI unit of force is: kg.( m ) Newtons ( N ) 2 s One Newton is the force required to accelerate one kg one meter per second. Note that the first law is a special case of the second. F = m.a F 0 a 0 v 0 Dr. Loai Afana V is constant or zero 8 Newton’s Third Law If object 1 exerts a force F on object 2, then object 2 exerts a force – F on object 1. – Forces come in pairs. – The force pairs act on different objects. – The forces have the same magnitude but opposite direction. F2on1 F1on2 Example: I push on the wall with a force of 20 N. The wall pushes back on me with a force of 20 N in the opposite direction. Dr. Loai Afana 9 The Vector Nature of Forces In the formula F = ma, F is the total (net) force acting on the object. We must consider the vector sum of all forces acting on an object. We can also consider each dimension separately: F ma F F F x max y ma y z maz Dr. Loai Afana 10 Force & Mass • Force is a vector: – The net force is the vector sum of all forces acting on the object m. • Mass is a scalar: – The value of the mass of an object does not change with the direction of the acceleration. – The equation F=ma is also a definition of mass. Mass is constant: If two objects are put together (or separated) , the mass of the combined object is simply the arithmetic sum of the two masses : m = m1+m2 Dr. Loai Afana 11 Weight The weight of any object on the Earth is the gravitational force exerted on it by the Earth : W = mg Note: Weight is a force (and therefore a vector). Weight is not equivalent to mass. The weight of an object is different on the earth and on the moon since the strength of the gravitational field is different ( g e ≠ g m ). Dr. Loai Afana 12