Dynamics Flashcards
Newton's law of motion Linear momentum and its Conservation
Mass
measure of the quantity of matter of a body
property of a body which resists change in motion
Weight
gravitational force acting on an object
W = m g
Momentum
product of mass and the velocity of the body
p = m v
p momentum [ N s or kg m s⁻¹]
Newton’s first law
A body remains at rest or continues to move in a straight line with a constant velocity unless a net external force acts on it
ΣFnet = 0 , Vf = Vi
Newton’s second law
The rate of change of momentum of a body is directly proportional to the net external force acting on the body and takes place in the direction of the force
ΣF = δp/δt
Impulse, I of the Force F
product of the force and time of impact
Δp
area under F-t graph
Newton’s third law
The forces of action and reaction between interacting bodies are :
- equal in magnitude
- opposite in direction
- of the same type
- act on different bodies
Principle of Conservation of Momentum
The total momentum of a system is constant if net external force acting on it is zero
Δp = 0 , ΣF =0
Inelastic collisions
total momentum of a closed system is conserved
Pi = Pf
Completely Inelastic collisions
two objects stick together after collision
total KE lost = maximum
Elastic collisions
Conservation of total p and total KE
Pi = Pf
relative speed of approach = relative speed of separation
u₁ - u₂ = v₂ - v₁