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Exploring Kinematics and Dynamics in Classical Physics

Learn about displacement, velocity, kinematics, and dynamics in classical physics. Understand the difference between distance and displacement, speed and velocity, and the principle of relativity. Dive into relative motion and vector calculations for a deeper insight into motion. 8 Relevant

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Exploring Kinematics and Dynamics in Classical Physics

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  1. Displacement & velocity

  2. Divisions of classical physics • Kinematics: the study of motion w/o regard to cause. Have you ever seen the root word “kine” before? Where? • Dynamics: the study of the forces which cause & change motion. • We are going to begin our study of classical physics with a study of kinematics

  3. distance & displacement • distance – scalar (d) • displacement – vector (d) • Distance is the magnitude of displacement. • Dimensions of d (or d) = length m (MKS) or cm (CGS).

  4. speed & velocity • Dimensions of t (time)? MKS? CGS? • Dimensions of v or (v)? MKS? CGS? • By dimensional analysis – what must be the formula for d? • d = vt or d = vt

  5. What is the relationship b/w the direction of d and the direction of v? • How do you know?

  6. Given the formula, d = vt, derive the formula for velocity. • d = vt  d/t = vt/t  v = d/t • Now check the formula to see if it is dimensionally correct. • m/sec = m/sec

  7. Simplest motion • The simplest type of motion: motion with constant speed in a straight line. • Does constant v always have constant v? • Give an example when an object with constant speed does not have constant velocity.

  8. Principle of Relativity • All motion is relative. The velocity of an object depends on the “frame of reference” from which one observes the event. • Frame of reference: where you view an event. Point of view.

  9. What is the horizontal velocity of a ball throw straight up on a bus if the bus is traveling 50 mi./hr. E? • Vbe or Vbb? Which is correct? • What is your velocity right now? • Motion w/ constant velocity (constant mag. & dir.) cannot be proven. • Ex. Car @ a stoplight. • If one were in an airplane that is moving w/ constant velocity it would be impossible from inside the airplane to prove whether the plane or the earth is moving!

  10. Playing catch in a train

  11. Determining relative velocity • Vector addition or subtraction. You must learn which. This is not to be confused w/ + or – direction.

  12. Subscript system • Velocity of what – 1st subscript • Relative to what – 2nd subscript • second subscript same subtract • If 2nd subscripts are different -> add

  13. Sample relative velocity problem • A train is moving E @ 60 km/hr., a waiter is walking twd the rear of the train @ 2 km/hr., and a fly is crawling across the waiters tray @ 3 km/hr N. What is the velocity of the fly relative to earth? vfe vfw Vector diagram vwt vte

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