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Newton’s 3rd^ Law When body A exerts a force on body B, force on body A is equal in magnitude to force on body B from A. Both forces are in opposite directions and of same kind. Action reaction forces:
p is the linear momentum (kg m s-^1 ) m is the mass of the object (m) v is the velocity of the object (m s-^1 ) Newton’s 2nd^ Law The rate of change of momentum of a body is directly proportional to the resultant force acting on it, and it takes place in the direction of the resultant force. Newton’s 2 nd^ Law
Fnet is the resultant force (N) p is the linear momentum (kg m s-^1 ) t is the time taken for the object to change momentum (s) m is the mass of the object (m) a is the acceleration of the object (m s-^2 ) Weightlessness = no contact force but there is weight. Weighing scales do not always measure true weight but the contact force acting on the weighing scale. Free Fall As an object falls, its vertical acceleration decreases over time. Initially, its acceleration is 9. m s-^2. As it increases in velocity, the air resistance will increase with it, but the acceleration decreases. When it reaches terminal velocity, it will fall at constant speed where W=Fdrag. No acceleration. Flowing Mass and Newton’s 2nd^ Law
e.g. water leaving a hose Newton’s 2nd^ Law involving Flowing
Fnet is the resultant force (N) m is the mass of the object (kg) t is the time taken for the amount of mass to flow out (s) v is the velocity (m s-^1 ) Impulse The product of the force and the time duration of the impact. = change in momentum Impulse ∆𝑝 = ∫ 𝐹 𝑑𝑡 Fnet is the resultant force (N) p is the linear momentum (kg m s-^1 ) t is the time taken for the object to change momentum (s) Shown by the area under the force-time curve. Principle of Conservation of Linear Momentum The total linear momentum of a system remains constant provided that no external resultant force acts on the system. Principle of Conservation of Linear Momentum
m 1 and m 2 are the masses of the 2 colliding objects u 1 and u 2 are the velocities of the objects before collision v 1 and v 2 are the velocities of the objects after collision Principle of Conservation of Kinetic Energy
m 1 and m 2 are the masses of the 2 colliding objects u 1 and u 2 are the velocities of the objects before collision v 1 and v 2 are the velocities of the objects after collision Relative speed of approach = relative speed of separation
u 1 and u 2 are the velocities of the objects before collision v 1 and v 2 are the velocities of the objects after collision Elastic collision: Total kinetic energy of the colliding bodies is conserved. All 3 equations are applicable. Inelastic collision: Collision where kinetic energy is not conserved. A perfectly inelastic collision is a collision where the colliding bodies will stick with one another and move off with the same velocity. Only the principle of conservation of linear momentum is applicable.