Mechanics: Kinematics and Dynamics

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Questions and Answers

What is the primary focus of kinematics in the study of motion?

  • The relationship between forces and motion
  • The description of position, velocity, and acceleration of objects (correct)
  • The transfer of energy from one object to another
  • The attractive force between objects

Which of the following equations of motion is used to calculate the velocity of an object?

  • v = u + at
  • v = Δx / t (correct)
  • a = Δv / t
  • F = ma

What is the physical quantity that is defined as the rate of change of velocity?

  • Force
  • Displacement
  • Acceleration (correct)
  • Velocity

What is the name of the law that states that every action has an equal and opposite reaction?

<p>Law of Action-Reaction (C)</p> Signup and view all the answers

What is the type of force that opposes motion between two surfaces in contact?

<p>Friction (B)</p> Signup and view all the answers

What is the equation that relates the work done on an object to its change in kinetic energy?

<p>W = ΔK (C)</p> Signup and view all the answers

What is the unit of measurement for forces?

<p>Newtons (N) (C)</p> Signup and view all the answers

Which type of force is responsible for attracting two objects with mass towards each other?

<p>Gravity (A)</p> Signup and view all the answers

What is the term for the shortest distance between the initial and final positions of an object?

<p>Displacement (B)</p> Signup and view all the answers

Which of Newton's laws states that an object at rest will remain at rest, and an object in motion will continue to move with a constant velocity, unless acted upon by an external force?

<p>First Law (D)</p> Signup and view all the answers

What is the term for the rate of change of distance with respect to time?

<p>Speed (D)</p> Signup and view all the answers

Which type of motion involves motion in a circular path?

<p>Circular Motion (C)</p> Signup and view all the answers

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Study Notes

Mechanics

Kinematics

  • Study of motion without considering forces
  • Describes the position, velocity, and acceleration of objects
  • Key concepts:
    • Displacement (Δx): change in position
    • Velocity (v): rate of change of displacement
    • Acceleration (a): rate of change of velocity
    • Time (t): measure of duration
    • Equations of motion:
      • v = Δx / t
      • a = Δv / t
      • v = u + at
      • s = ut + 0.5at^2

Dynamics

  • Study of motion considering forces
  • Describes the relationship between forces and motion
  • Key concepts:
    • Force (F): push or pull that causes motion
    • Newton's Laws of Motion:
      • First Law (Inertia): objects at rest stay at rest, objects in motion stay in motion
      • Second Law (F = ma): force equals mass times acceleration
      • Third Law (Action-Reaction): every action has an equal and opposite reaction
    • Types of forces:
      • Gravity (Fg): attractive force between objects
      • Friction (Ff): resistive force opposing motion
      • Normal force (Fn): force exerted by a surface
      • Tension (T): force exerted by a stretched string

Energy and Work

  • Energy: ability to do work
  • Work (W): transfer of energy from one object to another
  • Types of energy:
    • Kinetic energy (K): energy of motion
    • Potential energy (U): energy of position or configuration
    • Total mechanical energy (E): sum of kinetic and potential energy
  • Work-energy theorem: W = ΔK = (mgh)

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