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Newton’s Laws Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 370 below the horizontal. The bullet lands 3 seconds later. Find the components of the initial velocity. How far does the bullet travel in the horizontal direction before it lands? How high above the (level) ground was the plane when the bullet was fired? Find the magnitude of the velocity of the bullet right before it hits the ground. Pretest #3 (“the crate in the snow”) a v Pretest #3 (“the crate in the snow”) Fby snow Fby Pretest #3 (“the crate in the snow”) Fby snow Fby ? Forces (dynamics) D Motion (kinematics) Types of Forces Noncontact Forces Electromagnetic Contact Forces Pushes Pulls Types of Forces Noncontact Forces Gravitational Electromagnetic Contact Forces Pushes Pulls Types of Forces Noncontact Forces Gravitational W Electromagnetic Contact Forces Pushes Pulls Types of Forces Noncontact Forces Gravitational Electromagnetic W Electric Magnetic Contact Forces Pushes Pulls Types of Forces Noncontact Forces Gravitational Electromagnetic Pushes W Electric Contact Forces Magnetic M Pulls Types of Forces Noncontact Forces Gravitational Electromagnetic Nuclear W Electric Contact Forces Magnetic M Pushes Pulls Types of Forces Noncontact Forces Gravitational Electromagnetic Contact Forces Nuclear Pushes Pulls W Tension Electric Magnetic M Types of Forces Noncontact Forces Gravitational Electromagnetic Contact Forces Nuclear Pushes Pulls W Tension Electric Magnetic M T Types of Forces Noncontact Forces Gravitational Electromagnetic Contact Forces Nuclear Pushes Pulls W Tension Electric Magnetic M Normal T Types of Forces Noncontact Forces Gravitational Electromagnetic Contact Forces Nuclear Pushes Pulls W Tension Electric Magnetic M Normal N T Types of Forces Noncontact Forces Gravitational Electromagnetic Contact Forces Nuclear Pushes Pulls W Tension Electric Magnetic M Normal N perpendicular to surface T Types of Forces Noncontact Forces Gravitational Electromagnetic Contact Forces Nuclear Pushes Pulls W Tension Electric Magnetic M Friction Normal N perpendicular to surface T Types of Forces Noncontact Forces Gravitational Electromagnetic Contact Forces Nuclear Pushes Pulls W Tension Electric Magnetic Friction M f Normal N perpendicular to surface T Aristotle 384 - 322 B.C. What is the velocity of this room? v= 2 RE Dt = 400 m/s RE = 6 x 106 m Galileo Galilei (1564-1642) Ball on Ramp Ball on Ramp Ball on Ramp Ball on Ramp Ball on Ramp An object at rest stays at rest and an object in motion stays in motion at constant speed in a straight line, unless acted upon by a net force. a=0 Sir Isaac Newton (1642-1727) Newton’s 1st Law: No net force - no acceleration No acceleration = constant velocity An object at rest stays at rest and an object in motion stays in motion at constant speed in a straight line, unless acted upon by a net force. Newton’s 2nd Law: Deals with the effect of forces on an object. Dry Ice on Slate Motion of the Block at rest uniform motion to the right moves to the right and speeds up without changing direction moves to the right, slows down and stops without changing direction Velocity Acceleration Push or Pull Necessary to Maintain Motion 0 0 0 0 0 Dry Ice on Slate Motion of the Block at rest uniform motion to the right moves to the right and speeds up without changing direction moves to the right, slows down and stops without changing direction Velocity Acceleration Push or Pull Necessary to Maintain Motion 0 0 0 0 0 Newton’s 2nd Law: Net force causes acceleration (not velocity) The net force is the vector sum of all the individual forces on an object. Nr,b Fnet a WE,b WE,b Nr,b Acceleration is in same direction as the net force. a Which one is the net force? Types of Forces Noncontact Forces Gravitational Electromagnetic Contact Forces Nuclear Pushes Pulls W Tension Electric Magnetic Friction M f Normal N T Pretest #3 (“the crate in the snow”) Fby snow Fby ? Pretest #3 (“the crate in the snow”) Fby snow Fby