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Grade 9 Advanced - End of Term 2 Final Summative Assessment Preparation

Contents Overview

• Unit 1: Mechanics in One Dimension

  • Module 4: Forces in One Dimension

    • Lesson 1: Force and Motion

    • Lesson 2: Weight and Drag Force

    • Lesson 3: Newton’s Third Law

• Unit 2: Mechanics in Two Dimensions

  • Module 5: Displacement and Force in Two Dimensions

    • Lesson 1: Vectors

    • Lesson 2: Friction

    • Lesson 3: Forces in Two Dimensions

  • Module 6: Motion in Two Dimensions

    • Lesson 1: Projectile Motion

    • Lesson 2: Circular Motion

    • Lesson 3: Relative Velocity (For Enrichment)

Key Equations

• Acceleration due to gravity: ( a_y = g = -9.8 , m/s^2 )

• Gravitational Force: ( F_g = mg )

• Scale Force: ( F_{scale} = F_{net} + F_g )

• Kinetic Friction: ( F_k = _k F_N )

• Static Friction: ( F_s = s F_N )

• Horizontal and Vertical Components of Velocity:

  • ( v_x = v_i , cos , \theta )

  • ( v_y = v_i , sin , \theta )

• Position Formulas:

  • ( x_f = v_x t )

  • ( y_f = y_i + v_{y,i} t + \frac{1}{2} g t^2 )

  • ( v_{y,f} = v_{y,i} + a_y t )

  • ( v_{y,f}^2 = v_{y,i}^2 + 2g \Delta y )

• For Two-Dimensional Vectors:

  • ( a = \frac{F_{net}}{m} )

  • ( A_x = A , cos , \theta )

  • ( A_y = A , sin , \theta )

  • Resultant Vector: ( R^2 = A^2 + B^2 )

• Magnitude of Resultant:

  • ( R = \sqrt{A^2 + B^2} )

Part One – Multiple Choice Questions (MCQ)

Learning Objectives (LO) - 1

• Concepts:

  • Sketch free-body diagrams, obtain resultant forces, and describe motion.

• Situations for Free-Body Diagrams:

  1. Skydiver falling with constant velocity.

  2. Tossing a softball upward from your hand.

  3. Softball rising, slowing down.

  4. Softball falling, speeding up.

  5. Catching and stopping the ball in your hand.

Example Diagram Requirements

• Label forces and agents, indicate directions of acceleration and net force, draw appropriately scaled vectors, ignore air resistance unless indicated.

Questions to Answer

1. Draw and detail the free-body diagrams for various scenarios.

2. Include reactions from the forces acting on various objects like a bag of sugar or a bucket of water.

Learning Objectives (LO) - 2

Newton's Third Law of Motion

• Formulation:

  • Define action-reaction pairs, observe properties of reaction pairs.

• Questions:

  1. Analyze forces acting on a bowling ball lifted by your hand; specify interaction.

  2. Forces on a falling brick.

  3. Free-body diagrams for static scenarios like a suitcase or ball in projectile motion along different phases.

Learning Objectives (LO) - 3 and 4

Apparent Weight Concept

• Real Weight vs. Apparent Weight:

  • Understand how acceleration vertically affects weight readings.

  • Review dynamics in elevators and analyze forces acting on objects assuming weights.

• Questions to Solve:

  1. Determine forces acting on 1-kg mass in an elevator context.

  2. Compare real and apparent weights in various conditions (elevator motion).

Learning Objectives (LO) - 5 - 12

Force Combinations and Net Forces

• Tasks:

  • Find net forces acting, their directions, and implications for motion.

  • Understand vector addition (both graphically and algebraically).

Topics to Cover

• Incorporate explanations and draw free-body diagrams.

• Handling forces under various contexts (e.g., sled dogs pulling scenarios).

• Calculate normal, static, and kinetic friction forces.

QUESTION LOG

• Example Questions:

  • Complete free-body diagrams and calculations for various weight lifting or motion situations with multiple body interactions.

• Assess scenarios based on the tension and gravitational forces involved.

• Investigate results of horizontal launching projectiles, forces in circular motion, and definitions of gravitational pulls.

Conclusion

• The above notes summarize key areas of focus for exam preparation covering mechanics across one and two dimensions, focusing heavily on free-body diagrams, Newton's laws, vector addition, and forces in context.