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Newton’s Laws. The Study of Dynamics. Isaac Newton. Arguably the greatest physical genius ever. Came up with 3 Laws of Motion to explain the observations and analyses of Galileo and Johannes Kepler. Invented Calculus.
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Newton’s Laws The Study of Dynamics
Isaac Newton • Arguably the greatest physical genius ever. • Came up with 3 Laws of Motion to explain the observations and analyses of Galileo and Johannes Kepler. • Invented Calculus. • Published his Laws in 1687 in the book Mathematical Principles of Natural Philosophy.
What is Force? • A force is a push or pull on an object. • Forces cause an object to accelerate… • To speed up • To slow down • To change direction
Newton’s First Law • The Law of Inertia. • A body in motion stays in motion at constant velocity and a body at rest stays at rest unless acted upon by an external force.
Newton’s Second Law • A body accelerates when acted upon by a net external force. • The acceleration is proportional to the net force and is in the direction which the net force acts.
Newton’s Second Law • ∑F = ma • where ∑F is the net force measured in Newtons (N) • m is mass (kg) • a is acceleration (m/s2)
Units of force • Newton (SI system) • 1 N = 1 kg m /s2 • 1 N is the force required to accelerate a 1 kg mass at a rate of 1 m/s2
Newton’s Third Law • For every action there exists an equal and opposite reaction. • If A exerts a force F on B, then B exerts an equal force of -F on A.
FL FM 20 kg Working a Newton’s 2nd Law Problem Step 1:Draw the problem Larry pushes a 20 kg block horizontally on a frictionless floor with a force of 150 N while Moe pulls the same block horizontally with a force of 120 N. What is the acceleration of the block?
N FL 20 kg FM FG Working a Newton’s 2nd Law Problem Step 2:Diagrams • Force diagram
__________ _____+______ ___________ Working a Newton’s 2nd Law Problem Step 2:Diagrams contd FN • Free Body diagram FM FL FG
Working a Newton’s 2nd Law Problem Step 3:Substitute • Make a list of givens from the word problem. • Mass of box = 20 kg • FL = 150 N • FM = 120 N • FL + FM = Total Force • Force Total = 270 N
Working a Newton’s 2nd Law Problem Step 3:Solve Substitute in what you know. • F= m x a • Force Total = m x a • 270 N = 20 kg x a • F/m = a; 270 N /20 kg = a • 13.5 m/s2 = a
Gravity as an accelerating force A very commonly used accelerating force is gravity. Here is gravity in action. The acceleration is g (10 m/s2).
Gravity as an accelerating force In the absence of air resistance, gravity acts upon all objects by causing the same acceleration…g (10 m/s2)...
Gravity as an accelerating force The pulley lets us use gravity as our accelerating force… but a lot slower than free fall. Acceleration here is a lot lower than g (10 m/s2)..
The problem of weight Are weight and mass the same thing? • No. Weight can be defined as the force due to gravitation attraction. • W = mg = mass(kg) x (10 m/s2).
N mg Flat surfaces – 1 D Force normal (N) is the common name given to any force opposing gravity for objects resting on horizontal surfaces. N = mg for objects resting on horizontal surfaces.
Friction • The force that opposes a sliding motion. • Enables us to walk, drive a car, etc. • Due to microscopic irregularities in even the smoothest of surfaces.
There are two types of friction • Static friction • exists before movement occurs • Kinetic friction • exists after movement occurs • Types • Rolling • Sliding • Fluid (Air & Water)