Newtonian Mechanics

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  • Newtonian Mechanics
    • Newton's First Law
      • An object in rest stays in rest and an object in motion stays in motion with the same speed and direction until acted upon by an unbalanced force
      • Also known as the Law of Inertia
      • If a ball is launched in a vacuum, it will carry on going forever
    • Newton's Second Law
      • Force is proportional to acceleration (normally) as mass is constant
        • If the question is about a rocket and it loses fuel, remember m isn't constant
      • F = ma
    • Newton's Third Law
      • For every action, there's an equal and opposite reaction
      • Reaction pairs
        • Friction and driving force
        • Gravity and the reaction force from the ground
        • Gravity and air resistance
        • Air resistance and driving force
    • SUVAT equations
      • v = u + at
      • v^2 = u^2 + 2as
      • s = ut + 1/2at^2
      • a = (u+v)t/2
    • Scalar and vector quantities
      • Scalar = only magnitude
        • Speed
        • Mass
        • Distance
      • Vector = magnitude and direction
        • Displacement
        • Velocity
        • Acceleration
    • Momentum = mass x velocity
      • Conservation of linear momentum = the momentum doesn't change unless an external, unbalanced force is applied
      • m1v1 = m2v2
    • Moments
      • Moment of a force = Fx
        • Where x is the perpendicular distance between the line of action of the force and the axis of rotation
      • Also known as torque
      • Torque of a couple = Fd
        • Where d is the perpendicular distance between the two forces
        • Couple = two equal forces which act in opposite directions on an object but not through the same point so they produce a turning effect
    • Work and energy
      • ?W = F?s
        • If the force isn't in line with the motion, resolve the vectors
      • Kinetic energy = 1/2mv^2
      • Principle of conservation of energy = energy cannot be made or destroyed; only transferred
      • P = W / t
      • Efficiency = useful energy / total energy
        • x100 for percentage
    • Gravity
      • Gravitational field strength = F / m
      • Weight = mg
        • g = 9.81 ms^-2

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