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Math/Physics

Class 1:

  • Units and Dimensions

    • SI base unit and Derived SI units

  • Kinematics

    • Distance vs displacement

      • distance is the length of a path(total) and it is scalar d

      • displacement is the change in path and is a vector quantity d

    • Speed and velocity

      • Speed is how fast something is going v = d/t and is scalar (m/s)

      • Velocity is speed and direction - average velocity = s/t

    • Average acceleration - the rate of change of velocity - a = v/t

    • Tail-to-tip method of vectors

    • The big 5 equations:

      • identify known quantities, then the desired quantity, choose the equation with the missing variable you don’t have and solve

      • Sometimes gravity can be used in place of acceleration → g = 10 m/s²

    • Using a graph, you can find three quantities → value at a point, slope, area under the curve

      • For a velocity vs. time graph → slope gives acceleration and area under gives the displacement

  • Mass: measure of an object’s resistance to acceleration(inertia) = kg scalar

  • Force

    • Net force = sum of all applied forces on the object → vector addition

    • Fnet = ma → mass x acceleration

      • Components of Fnet can be separated in y and x

    • Different forces can be = tension, gravity, normal

    • Know SOH CAH TOA

    • Know your 30-60-90 triangle and 45-45-90 triangle

      • √2 = 1.4 (valentines day)

      • √3 = 1.7 (St. Patrick’s day)

  • Newton’s Laws

    • 1st - Inertia: an object in motion stays in motion at a constant velocity, and an object at rest tends to stay at rest

      • Fnet = 0 → v is constant

    • 2nd - the acceleration of an object is directly related to its Fnet and inversely related to its mass → F = ma - only one object

    • 3rd - for every action, there is an equally opposite reaction

      • if forces are equal, they will cancel out - requires 2 objects

  • Friction force: the force between two slid surfaces that resists slipping motion between them

    • Kinetic = direction opposes velocity → skidding/slipping

    • Static friction = direction opposes other forces → No motion relative to the contact surface or rolling without slipping

Class 2 - 22/06/2024:

  • Uniform circular motion

  • Torque

  • Work and Energy

M

Math/Physics

Class 1:

  • Units and Dimensions

    • SI base unit and Derived SI units

  • Kinematics

    • Distance vs displacement

      • distance is the length of a path(total) and it is scalar d

      • displacement is the change in path and is a vector quantity d

    • Speed and velocity

      • Speed is how fast something is going v = d/t and is scalar (m/s)

      • Velocity is speed and direction - average velocity = s/t

    • Average acceleration - the rate of change of velocity - a = v/t

    • Tail-to-tip method of vectors

    • The big 5 equations:

      • identify known quantities, then the desired quantity, choose the equation with the missing variable you don’t have and solve

      • Sometimes gravity can be used in place of acceleration → g = 10 m/s²

    • Using a graph, you can find three quantities → value at a point, slope, area under the curve

      • For a velocity vs. time graph → slope gives acceleration and area under gives the displacement

  • Mass: measure of an object’s resistance to acceleration(inertia) = kg scalar

  • Force

    • Net force = sum of all applied forces on the object → vector addition

    • Fnet = ma → mass x acceleration

      • Components of Fnet can be separated in y and x

    • Different forces can be = tension, gravity, normal

    • Know SOH CAH TOA

    • Know your 30-60-90 triangle and 45-45-90 triangle

      • √2 = 1.4 (valentines day)

      • √3 = 1.7 (St. Patrick’s day)

  • Newton’s Laws

    • 1st - Inertia: an object in motion stays in motion at a constant velocity, and an object at rest tends to stay at rest

      • Fnet = 0 → v is constant

    • 2nd - the acceleration of an object is directly related to its Fnet and inversely related to its mass → F = ma - only one object

    • 3rd - for every action, there is an equally opposite reaction

      • if forces are equal, they will cancel out - requires 2 objects

  • Friction force: the force between two slid surfaces that resists slipping motion between them

    • Kinetic = direction opposes velocity → skidding/slipping

    • Static friction = direction opposes other forces → No motion relative to the contact surface or rolling without slipping

Class 2 - 22/06/2024:

  • Uniform circular motion

  • Torque

  • Work and Energy