2-D K INEMATICS : Projectile Motion Astronomy 12.

Slides:

Advertisements

Similar presentations

Uniform Circular Motion

Advertisements

Chapter 3: Motion in 2 or 3 Dimensions

PHYS 218 sec Review Chap. 3 Motion in 2 or 3 dimensions.

Motion in Two and Three Dimensions

3 Motion in Two & Three Dimensions Displacement, velocity, acceleration Case 1: Projectile Motion Case 2: Circular Motion Hk: 51, 55, 69, 77, 85, 91.

Phy 211: General Physics I Chapter 4: Motion in 2 & 3 Dimensions Lecture Notes.

Chapter 4: Motions in Two and Three Dimensions

Physics 2011 Chapter 3: Motion in 2D and 3D. Describing Position in 3-Space A vector is used to establish the position of a particle of interest. The.

Physics 111: Mechanics Lecture 3

Physics 111: Elementary Mechanics – Lecture 3 Carsten Denker NJIT Physics Department Center for Solar–Terrestrial Research.

Uniform Circular Motion

Uniform Circular Motion A special kind of two-dimensional problem involves objects undergoing uniform circular motion. Uniform circular motion is motion.

Scalars and Vectors (a)define scalar and vector quantities and give examples. (b) draw and use a vector triangle to determine the resultant of two vectors.

Chapter 7 Rotational Motion & Law of Gravity

Chapter 4 Motion in 2 Dimensions.

Vectors and Two-Dimensional Motion

2 pt 3 pt 4 pt 5pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2pt 3 pt 4pt 5 pt 1pt 2pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4pt 5 pt 1pt Circular Motion Circular Motion.

CIRCULAR MOTION REMEMBER : The curved path of a projectile was due to a force (gravity) acting on a body in a direction NOT parallel to its line of motion.

Velocity and Position by Integration. Non-constant Acceleration Example.

Motion in Two Dimensions

Chapter 4 Motion in Two and Three Dimensions In this chapter we will continue to study the motion of objects without the restriction we put in Chapter.

Motion in Two Dimensions

Two Dimensional Kinematics. Position and Velocity Vectors If an object starts out at the origin and moves to point A, its displacement can be represented.

Motion in 2D Chapter 6.

Physics A First Course Energy and Systems Chapter 6.

Ch. 7 Forces and Motion in Two Dimensions

In this chapter you will:  Use Newton’s laws and your knowledge of vectors to analyze motion in two dimensions.  Solve problems dealing with projectile.

PROJECTILE MOTION An object launched into space without motive power of its own is called a projectile. If we neglect air resistance, the only force acting.

Motion in Two and Three Dimensions

Projectile Motion An object may move in both the x and y directions simultaneously The form of two-dimensional motion we will deal with is called projectile.

Tangential and Centripetal Accelerations

Rotational Motion and the Law of Gravity Tangential and Centripetal Motion.

Centripetal Acceleration/Force. Centripetal Force/Acceleration Definition Centripetal force: Centripetal force: Any force that causes curved path motion.

Rotational Motion Comparison of Angular Motion with One-dimensional Horizontal Motion Distance traveled is replaced by the angle traveled around the circle.

4.1 The Position, Velocity, and Acceleration Vectors 4.1 Displacement vector 4.2 Average velocity 4.3 Instantaneous velocity 4.4 Average acceleration 4.5.

7-3 Circular Motion. As an object travels in uniform circular motion Its tangential speed remains constant The direction of its velocity is constantly.

Objectives  Explain why an object moving in a circle at a constant speed is accelerated.  Describe how centripetal acceleration depends upon the object’s.

Centripetal Acceleration is a vector quantity because it has both direction and magnitude. Centripetal Acceleration is defined as an acceleration experienced.

Circular Motion Deriving the formula for centripetal acceleration.

Uniform Circular Motion. Motion of an object moving in a circle at constant speed. Motion of an object moving in a circle at constant speed. The linear.

1.To consider speed & velocity around a circle 2.To consider acceleration as a change in velocity 3.To define an equation for centripetal acceleration.

المحاضرة الخامسة. 4.1 The Position, Velocity, and Acceleration Vectors The position of a particle by its position vector r, drawn from the origin of some.

Honors Physics Review 2 Chapter

Projectile - an object for which the only force acting upon it is gravity. The force of air resistance is negligibly small or nonexistent for a projectile.

Set 4 Circles and Newton February 3, Where Are We Today –Quick review of the examination – we finish one topic from the last chapter – circular.

Chapter 7 Rotational Motion and The Law of Gravity.

Dynamics of Uniform Circular Motion Uniform Circular Motion Centripetal Acceleration Centripetal Force Satellites in Circular Orbits Vertical Circular.

Circular Motion Chapter 7.3. Motion & Forces What you already know: –Velocity – a measure of the change in over with. –Mass – A measure of the amount.

Projectiles Motion in Two Dimensions Chapter 7. Projectile An object launched into the air by a force Trajectory The path followed by a projectile.

Lecture 7: Motion in 2D and 3D: II

4.1 Motion in a Circle p. 120 Gravity and Motion The force that keeps a body firmly attached to the ground is the same force that keeps the Moon in orbit.

Circular Motion Chapter 7 Section 1. What are we discussing today? Circular motion Centripetal acceleration & Centripetal force Tangential Speed You will.

UNIFORM CIRCULAR MOTION Centripetal force. UNIFORM CIRCULAR MOTION  Motion at a constant speed around a circle with a constant radius. V Fc Ac.

1 Vector Decomposition y x 0 y x 0 y x 0. 2 Unit vector in 3D Cartesian coordinates.

Motion in Two and Three Dimensions Chapter 4. Position and Displacement A position vector locates a particle in space o Extends from a reference point.

Chapter 3 Motion in Two Dimensions. Position and Displacement The position of an object is described by its position vector, The displacement of the object.

What is Projectile Motion?. Instructional Objectives: Students will be able to: –Define Projectile Motion –Distinguish between the different types of.

Position Displacmen. Position Displacmen Instantaneous velocity Average velocity Instantaneous velocity (Or velocity) but Example:

The horizontal and vertical components of a projectile in motion depend upon the initial velocity. True False.

Kinematics in Two Dimensions

Projectile Motion, Orbiting and Centripetal force

Fig. P4.65, p.108.

Projectile Motion Projectile - an object for which the only force acting upon it is gravity. The force of air resistance is negligibly small or nonexistent.

Chapter 4 Motion in Two and Three Dimensions 第4章二維與三維運動

Chapter 5: Circular Motion; Gravitation

Entrance and Exit Slip Questions

Fundamentals of Physics School of Physical Science and Technology

Kinematics in Two Dimensions

Presentation transcript:

2-D K INEMATICS : Projectile Motion Astronomy 12

L EARNING O UTCOME : Students will be able to… analyse quantitatively the horizontal and vertical motion of a projectile

P ROJECTILE - A MOVING OBJECT GIVEN INITIAL VELOCITY THAT THEN MOVES ONLY UNDER THE FORCE OF GRAVITY

P ROJECTILE M OTION … the path followed by a projectile is called a trajectory (parabolic) shape of trajectory and horizontal motion depend on frame of reference of the observer vertical motion does not depend on frame of reference of observer vertical and horizontal motion of a projectile are independent of each other!

Draw a motion diagram for a projectile… Remember, time interval between dots is the same! View Applet #2 View Applet #1

2-D K INEMATICS : Uniform Circular Motion Astronomy 12

L EARNING O UTCOME : Students will be able to… describe uniform circular motion using algebraic and vector analysis explain quantitatively circular motion using Newton’s laws

figure 1 shows the circular motion of an object with radius and speed constant velocity is perpendicular to radius ( tangential) v1 and v2 are instantaneous velocities at A and B, respectively figure 2 shows Δv = v2 – v1 if A and B are very close together, then arc AB ≈ chord AB thus, because of similar triangles in figures 1 & 2…

this describes centripetal (or “center-seeking”) acceleration (a c ) force that causes circular motion is called centripetal force (F c )

F OR B ANKED C URVES …