* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Lec13
Jerk (physics) wikipedia , lookup
Center of mass wikipedia , lookup
Coriolis force wikipedia , lookup
Newton's theorem of revolving orbits wikipedia , lookup
Relativistic mechanics wikipedia , lookup
Derivations of the Lorentz transformations wikipedia , lookup
Mechanics of planar particle motion wikipedia , lookup
Velocity-addition formula wikipedia , lookup
Length contraction wikipedia , lookup
Classical mechanics wikipedia , lookup
Equations of motion wikipedia , lookup
Modified Newtonian dynamics wikipedia , lookup
Centripetal force wikipedia , lookup
Frame of reference wikipedia , lookup
Classical central-force problem wikipedia , lookup
Seismometer wikipedia , lookup
Rigid body dynamics wikipedia , lookup
Inertial frame of reference wikipedia , lookup
Fictitious force wikipedia , lookup
MU Newton’s Laws 1:40-21:40 http://www.learner.org/resources/series42.html 6. Newton's Laws 1 2 Newton’s Laws of Motion First Law or Law of Inertia A body at rest remains at rest and a body in motion continues to move at constant velocity along a straight line unless acted upon by an external force. Second Law A force action on a body gives it an acceleration which is in the direction of the force and has a magnitude given by ma Third Law To every action there is always an equal and opposite reaction: or the forces of two bodies on each other are always equal and are directed in opposite directions. 3 Inertial Frames Inertia frame is any reference frame that is not accelerating Any reference frame that moves with constant velocity relative to an inertial frame is itself an inertial frame. If you accelerate relative to an object in an inertial frame, you are observing the object from a non-inertial reference frame. A reference frame that moves with constant velocity relative to the distant stars is the best approximation of an inertial frame. Newton’s first two Laws can only be applied in an Inertia Frame 4 Newton’s First Law or Law of Inertia It was Galileo who first expressed what he called the law of inertia "A body at rest remains at rest and a body in motion continues to move at constant velocity along a straight line unless acted upon by an external force." And Newton's own words in his famous book, Principia. "Every body perseveres in its state of rest or of uniform motion in a right line unless it is compelled to change that state by forces impressed upon it." 5 Newton’s First Law In the absence of external forces, when viewed from an inertial reference frame, an object at rest remains at rest and an object in motion continues in motion with a constant velocity. Newton’s First Law describes what happens in the absence of a net force Also tells us that when no force acts on an object, the acceleration of the object is zero Can conclude that any isolated object is either at rest or moving at a constant velocity The First Law also allows the definition of force as that which causes a change in the motion of an object. 6 Inertia and Mass The tendency of an object to resist any attempt to change its velocity is called inertia. Mass is that property of an object that specifies how much resistance an object exhibits to changes in its velocity. Masses can be defined in terms of the accelerations produced by a given force acting on them: m1 m2 a2 a1 The magnitude of the acceleration acting on an object is inversely proportional to its mass. Which person would be easier to move? 7 Mass vs. Weight Mass and weight are two different quantities. Weight is equal to the magnitude of the gravitational force exerted on the object. Weight is proportional to mass, but will vary with location and. Example: wearth = 180 lb; wmoon ~ 30 lb mearth = 80 kg; mmoon = 80 kg Mass inherent property of an object. independent of the object’s surroundings. independent of the method used to measure it. scalar quantity. 8 Clicker Quiz Consider a cart on a horizontal frictionless a) slowly come to a stop table. Ignoring air b) continue with constant acceleration resistance, once the cart c) continue with decreasing acceleration has been given a push and d) continue with constant velocity released, what will happen e) immediately come to a stop to the cart ? Newton’s Second Law 9