3: Dynamics Flashcards
Newton’s First Law
N1L of motion states that an object at rest will remain at rest, and an object in motion will remain in motion at constant velocity in a straight line in the absence of an external resultant force.
Newton’s Second Law
N2L states that the rate of change of momentum of a body is directly proportional to the resultant force and occurs in the direction of the resultant force.
N2L equation
F ∝ dp / dt
Linear momentum, p formula
p = m v
Newton’s Third Law
N3L of motion states that if body A exerts a force on body B, then body B exerts a force of the same type that is equal in magnitude and opposite in direction on body A.
Impulse,
Impulse is defined as the product of a force acting on an object and the time in which the force acts.
Impulse, ▵p equation
Impulse = F ▵t
Principle of Conservation of Linear Momentum (PCLM)
The PCLM states that the total momentum of a system remains constant provided no external resultant force acts on the system.
Principle of Conservation of Linear Momentum (PCLM) equation
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
Conservation of Kinetic Energy (CoKE) equation
u₁ - u₂ = v₂ - v₁
Special cases of one-directional elastic collisions:
- m₁ = m₂
- m₁ > m₂ (m₂ at rest)
- Bodies EXCHANGE velocities
- Velocity of light body REVERSED, massive body stays at REST.
- Velocity of massive body UNCHANGED, velocity of light body DOUBLES.