How does an object move when a force acts on it? Connects FORCE, MASS, ACCELERATION Newton’s Second Law of Motion (Textbook pages )

Newton’s 2 nd Law of Motion 2 nd Law & Air Canons?! 2 nd Law & Air Canons?! NFL and Newton’s 2 nd Law NFL and Newton’s 2 nd Law Force, Mass, Acceleration & Astronauts

Newton's 2 nd Law of Motion  Recalling Newton's first law of motion, how will an object be affected when the forces acting on it are not in equilibrium?  What is the cause of this change? The object will accelerate. The net force (the applied force that is not canceled by other forces) on the object causes the acceleration.

Newton's Second Law (cont.)  How do you expect the acceleration to depend on the applied force?  The greater the applied force, the greater the acceleration  What property of an object determines how much acceleration a given force will cause?  The inertia of the object (as measured by its mass)

More precisely, Newton ’ s 2 nd Law in terms of FORCE: Where F Net is the “ net force ” or the combination of all forces on the system So, what exactly is F net ? A few examples… lbs F net = _____ 5 lbs 20 lbs (like a “ tug of war ” … the object will accelerate to the _______!) 40 lbs 15 lbs right

F net = _____ 20 lbs 3. So… What is this “object” doing? According to the 2 nd Law (F net = ma), if the F net is zero, the acceleration must be ______. So the “object” is either at _____ or moving at ________ __________. Only “__________ forces” produce accelerations. 0 lbs zero rest constant velocity unbalanced

In the SI (metric) system.... the ____________ In the English system …. ___________ (One N is equal to lb, or 1 lb equals 4.45 N.) So, what ’ s a Newton? 1 N is the amount of force required to accelerate a 1 kg object at ___ m/s 2 …. 1 N = (1 kg)(_____) Newton (N) Pound (lb) 1 1 m/s 2

2nd law in terms of ACCELERATION: A. More Force = More Acceleration What type of relationship is this?

The larger the net force acting on an object, the greater its acceleration! 2X the force X the acceleration 3X the force X the acceleration (1/2) half the force /2 the acceleration

Practice Problem: a. You push on a crate with 100 N of force. If the friction force is 100 N, does the crate accelerate? b. Does that mean that the crate is not moving?

Practice continued… d. A friend helps push with an additional 150 N. By how much does acceleration increase? c. Now push with 150 N; friction is still 100 N. Does the crate accelerate?

B. More Mass = Less Acceleration Mass: quantity of matter in an object (kg) What type of relationship is this?

2X the mass _____ the acceleration 3X the mass _____ the acceleration (1/2) half the mass _____ the acceleration Mass & Acceleration For a given force, the greater the mass, the smaller the acceleration 1/2 1/3 2x

????? IMAGINE THAT THERE IS NO FRICTION

Newton's Second Law (cont.)  Given everything you now know… using ‘a’ for acceleration, ‘F’ for net force, and ‘m’ for mass, …how would you write Newton's 2 nd law as an equation?

Newton's 2 nd Law - Defined  “The acceleration of an object is directly proportional to the net force acting on the object, is in the direction of the net force, and is inversely proportional to the mass of the object.”  Inversely Proportional?  Acceleration decreases as mass increases (for same amount of force) a = F m

Newton ’ s Second Law Solving for FORCE, MASS, ACCELERATION a F m

NEWTON ’ S SECOND LAW