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Physics
NEWTON’S LAWS OF MOTION
Short video tutorial series
Newton’s laws of motion
 FIRST LAW: A body will continue in its
present state of rest or motion unless acted
upon by a force.
 Momentum = mass x velocity = mv
 SECOND LAW: The rate of change of momentum of
a body is directly proportional to the applied force
and takes place in the direction in which the force
acts
 Force α change in momentum/time
F α mv – mu = m(v – u) v – u = a
t t t
Therefore F α ma
F = kma
F = ma
 Impulse is change in momentum = mv – mu OR
force x time
Equations of weightlessness
 Note that weight = mg
 When a lift is stationary and moves with a
constant speed W = mg = R
 m = mass of the object in the lift
 R = Reaction of the floor of the lift on the object acting
upwards.
 When the lift goes upwards F = R – mg = ma
 R = m(a + g)
 F = R = m(a + g)
 When the lift goes downwards
 F = - R + mg
 F = mg – R = ma
 R = m (g – a)
 W = m(g – a)
 W = 0 when the lift descends with a = g
Newton’s 3rd law
 To every action there is equal and opposite
reaction.
 Eg recoil of a gun
 The velocity V of a recoil is MV = - mv
 V = -mv/M
 M = Mass of the gun
 m = mass of bullet
 v = velocity of bullet
 V = velocity of recoil
Law of conservation of
momentum
 The total momentum of an isolated system
remains constant
 M1u1 + m2 u2 = m1 v1 + m2 v2
 Note: v1 = v2 when 2 colliding bodies join and
move with a common velocity
 U2 = 0 if the 2nd body is stationary
 U2 is stationary if the 2nd body is moving in
opposite direction to the 1st body before
collision.
Kinetic energy applications
 Collisions cn be elastic or inelastic
 Elastic collision is one in which both
momentum and kinetic energy are conserved
 The K.E = ½ m1 u1
2 + ½ m2 u2
2 = ½ m1 v1
2 + ½
m2 v2
2
 In inelastic collisions momentum is
conserved but not K.E.
 In complete inelastic where the 2 impacting
bodies move together with the same velocity
 K.E before impact = ½ m1 u1
2 + ½ m2 u2
2
 K.E after impact = ½ (m1 + m2) v2
END

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Newton’s laws of motion

  • 1. Physics NEWTON’S LAWS OF MOTION Short video tutorial series
  • 2. Newton’s laws of motion  FIRST LAW: A body will continue in its present state of rest or motion unless acted upon by a force.  Momentum = mass x velocity = mv
  • 3.  SECOND LAW: The rate of change of momentum of a body is directly proportional to the applied force and takes place in the direction in which the force acts  Force α change in momentum/time F α mv – mu = m(v – u) v – u = a t t t Therefore F α ma F = kma F = ma  Impulse is change in momentum = mv – mu OR force x time
  • 4. Equations of weightlessness  Note that weight = mg  When a lift is stationary and moves with a constant speed W = mg = R  m = mass of the object in the lift  R = Reaction of the floor of the lift on the object acting upwards.  When the lift goes upwards F = R – mg = ma  R = m(a + g)  F = R = m(a + g)
  • 5.  When the lift goes downwards  F = - R + mg  F = mg – R = ma  R = m (g – a)  W = m(g – a)  W = 0 when the lift descends with a = g
  • 6. Newton’s 3rd law  To every action there is equal and opposite reaction.  Eg recoil of a gun  The velocity V of a recoil is MV = - mv  V = -mv/M  M = Mass of the gun  m = mass of bullet  v = velocity of bullet  V = velocity of recoil
  • 7. Law of conservation of momentum  The total momentum of an isolated system remains constant  M1u1 + m2 u2 = m1 v1 + m2 v2  Note: v1 = v2 when 2 colliding bodies join and move with a common velocity  U2 = 0 if the 2nd body is stationary  U2 is stationary if the 2nd body is moving in opposite direction to the 1st body before collision.
  • 8. Kinetic energy applications  Collisions cn be elastic or inelastic  Elastic collision is one in which both momentum and kinetic energy are conserved  The K.E = ½ m1 u1 2 + ½ m2 u2 2 = ½ m1 v1 2 + ½ m2 v2 2  In inelastic collisions momentum is conserved but not K.E.  In complete inelastic where the 2 impacting bodies move together with the same velocity  K.E before impact = ½ m1 u1 2 + ½ m2 u2 2  K.E after impact = ½ (m1 + m2) v2
  • 9. END