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AGENDA November 3, 2008

AGENDA November 3, 2008. Notes - Projectile Motion CW - Plotting Projectile Motion Activity & go to http://moourl.com/cyclops to play projectile motion Cyclops game!. Projectile Motion. Chapter 8 Mrs. P. Projectile Motion.

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AGENDA November 3, 2008

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  1. AGENDA November 3, 2008 • Notes - Projectile Motion • CW - Plotting Projectile Motion Activity & go to http://moourl.com/cyclops to play projectile motion Cyclops game!

  2. Projectile Motion Chapter 8 Mrs. P

  3. Projectile Motion • Projectile – any object projected by any means that continues in motion. • Determine what the speedometer will read for the free falling baseball at time = 0, 1, 2, 3, 4 sec

  4. Projectile Motion • IF there were no gravity – any object thrown horizontally will continue in a straight line path. • Because there is gravity projectiles follow a curved path called a parabola.

  5. Parabolic Path A ball is thrown horizontally off the cliff. • Forces acting on the ball • Constant horizontal motion • Accelerated vertical motion • The combination of the two independent forces causes projectiles to follow a parabolic path.

  6. Parabolic Path • Two component Forces • Vertical (gravity) • Horizontal (throw - constant)

  7. So Far We Know… • a projectile is any object upon which the only constant force is gravity, • projectiles travel with a parabolic trajectory due to the influence of gravity,

  8. So Far We Know… • there are no horizontal forces acting upon projectiles and thus no horizontal acceleration, • the horizontal velocity of a projectile is constant (never changing in value), • there is a vertical acceleration caused by gravity; its value is ~10 m/s2, down, • the vertical velocity of a projectile changes by ~10 m/s each second, • the horizontal motion of a projectile is independent of its vertical motion.

  9. Vector Diagrams • represent how the x- and y-components of the velocity change with time • length of the vector arrows are representative of the magnitudes of that quantity Note: Horizontal vector DOES NOT CHANGE!

  10. Calculating Displacement • Vertical Displacement y = 0.5*g*t2 • Horizontal Displacement x = vix * t

  11. Calculating Displacement • Anna drops a ball from rest from the top of 80-meter high cliff. How much time will it take for the ball to reach the ground and at what height will the ball be after each second of motion? • A cannonball is launched horizontally from the top of an 80-meter high cliff. How much time will it take for the ball to reach the ground and at what height will the ball be after each second of travel?

  12. AGENDA 6-NOV: • Projectile Motion Lab • HW – • Part 2: Projectile Motion Lab • TEST IN ONE WEEK

  13. AGENDA 7-NOV: • Submit HW • No notes • CW- The Influence of Gravity on distance traveled & Projectile motion challenge problems • HW – • p 130 #1-6, Review, #1-3 Exercises • Test Friday!

  14. AGENDA 10-NOV: • Submit HW • Notes – Gravity and Satellites • CW- The Force of Gravity & Exploration WS (if time) • HW – p 130 #11, 13, 18 Review, p 113 #2, 5, 11 & TEST TUESDAY!

  15. Terms to know: • Tangent – a line that touches a circular surface at only one point. • Tangential Velocity – velocity whose direction is tangential to the Earth’s surface (parallel or in the x-direction). • Satellite – object with vx = 8 km/s. Trajectory follows curvature of the Earth’s surface

  16. Newton’s Experiment: • cannonball launched from an elevation > Earth’s atmosphere. • velocityx is GREAT & trajectory becomes a circle. • Air resistance minimal, velocityx remains the same • Object orbits Earth indefinitely

  17. More Terms to know: • Ellipse – an oval-like path. • Elliptical orbit – an orbit followed by a projectile with a velocity-x greater than 8 km/s. Speed of an object decreases as it travels away from Earth and increases as it comes near. • Escape speed – the speed at which a projectile can out run the force of gravity (11.1 km/s)

  18. Newton’s Discovery: The Law of Universal Gravitation • Gravity acts between all things • Dependent on Mass and Distance • Force of gravity INVERSELY proportional to the square of the distance between them. F = [ G x (m1m2) ] ÷ (d2) Constant = G = 6.67 x 10-11 Nm2/kg2

  19. Some ?’s for you: • If the tangential velocity of the moon were zero, how would the moon move? • What happens to the force of gravity between two objects when the mass of one body is doubled? • How does the force of gravity between the earth and a rocket change as the distance between them is doubled?

  20. Some ?’s for you: • What other word do we use to describe the quantity achieved when m1 is your mass, m2 is the Earth’s mass, and d is the earth’s radius? • What must be true in order for a satellite to stay in orbit?

  21. AGENDA 11-NOV: • Notes – Gravity and Satellites • CW- Newton’s Law of Universal Gravitation • HW – p 115 Problems #1-7 & 9 p 132 Problem #1

  22. AGENDA 12-NOV: • Submit HW • Review • HW – STUDY!

  23. AGENDA 13-NOV: • CW – Review Packet • HW – Study!!! Test Tomorrow! PJAS #5 Due 11/21!

  24. AGENDA ?-JAN: • Review big ideas in Projectile Motion & Gravity • CW – Projectile Motion Review • HW • Finish Projectile Motion Review – STUDY! • Organize Binder • QPA Thursday!!!!!

  25. Projectile Motion • Describe for a projectile the changes in the vertical and horizontal components of its velocity. • Vertical component changes at a rate of (-) 9.8 m/s2 due to gravity. • Horizontal component DOES NOT change.

  26. Projectile Motion • Calculate time or distance traveled by an object in free-fall. • Vertical component use dy = ½ a x t2. • Horizontal component use dx = vi x t

  27. Projectile Motion Show the connection between a fast-moving projectile and an Earth satellite. • cannonball launched from an elevation > Earth’s atmosphere. • velocityx is GREAT • trajectory becomes a circle. • Air resistance minimal • velocityx remains the same • Object orbits Earth indefinitely

  28. Projectile Motion • Describe how the speed of a satellite changes for different portions of an elliptical orbit. • Circular orbit – constant speed • Elliptical orbit – changing speed • Describe what it is meant by escape speed. • The horizontal speed at which an object will not become a satellite

  29. Gravity • State Newton’s law of universal gravitation. • Gravity acts between all things • Dependent on Mass and Distance F = [ G x (m1m2) ] ÷ (d2) Constant = G = 6.67 x 10-11 Nm2/kg2

  30. Projectile Motion • Describe the how the force of gravity changes with … • Distance – as distance increases, force decreases by change in distance squared! INVERSE RELATIONSHIP • Mass – as mass increases, force changes directly by change in mass of object(s).

  31. Some ?’s for you: • If the tangential velocity of the moon were zero, how would the moon move? • What happens to the force of gravity between two objects when the mass of one body is doubled? • How does the force of gravity between the earth and a rocket change as the distance between them is doubled?

  32. Some ?’s for you: • What other word do we use to describe the quantity achieved when m1 is your mass, m2 is the Earth’s mass, and d is the earth’s radius? • What must be true in order for a satellite to stay in orbit?

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