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Linear Momentum
Linear Momentum
Momentum

 From the Latin word Momenta
which means “movement” or
“moving power”.

The symbol for momentum is
‘p’’ which stands for ‘progress’.
Momentum is a property of
moving matter.

 Momentum describes the
tendency of objects to keep
going in the same direction
with the same speed.
 Momentum is a property of
moving mass that resists
changes in a moving object’s
velocity.


Momentum is a vector
quantity.
 The momentum of a moving
    object is its mass multiplied by its
    velocity.
      That means momentum
     increases with both mass and
     velocity.
Momentum           p=mv
 (kg m/sec)
                                  Velocity
       Mass (kg)                  (m/sec)
Comparing momentum

                      A car is traveling at a velocity of 13.5 m/sec (30 mph)
                      north on a straight road. The mass of the car is 1,300
                      kg. A motorcycle passes the car at a speed of 30
                      m/sec (67 mph). The motorcycle (with rider) has a
                      mass of 350 kg. Calculate and compare the
                      momentum of the car and motorcycle.


•       You are asked for momentum.
•       You are given masses and velocities.
•       Use: p = m v
•       Solve for car: p = (1,300 kg) (13.5 m/s) = 17,550 kg
        m/s
•       Solve for cycle: p = (350 kg) (30 m/s) = 10,500 kg m/s
    –    The car has more momentum even though it is going much
         slower.
 The product of a force acts is called
the impulse.



 Impulse is a way to measure a
change in momentum because it is not
always possible to calculate force and
time individually since collisions
happen so fast.
To find the impulse, you rearrange the
   momentum form of the second law.


Impulse (N•sec)
                  F∆ t=∆ p
                                   Change in
                                   momentum
                                   (kg•m/sec)
       Impulse can be expressed in
         kg•m/sec (momentum units) or
         in N•sec.
Physics
Physics
Physics

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Physics

  • 2. Momentum From the Latin word Momenta which means “movement” or “moving power”. The symbol for momentum is ‘p’’ which stands for ‘progress’.
  • 3. Momentum is a property of moving matter.  Momentum describes the tendency of objects to keep going in the same direction with the same speed.
  • 4.
  • 5.  Momentum is a property of moving mass that resists changes in a moving object’s velocity. Momentum is a vector quantity.
  • 6.  The momentum of a moving object is its mass multiplied by its velocity.  That means momentum increases with both mass and velocity. Momentum p=mv (kg m/sec) Velocity Mass (kg) (m/sec)
  • 7. Comparing momentum A car is traveling at a velocity of 13.5 m/sec (30 mph) north on a straight road. The mass of the car is 1,300 kg. A motorcycle passes the car at a speed of 30 m/sec (67 mph). The motorcycle (with rider) has a mass of 350 kg. Calculate and compare the momentum of the car and motorcycle. • You are asked for momentum. • You are given masses and velocities. • Use: p = m v • Solve for car: p = (1,300 kg) (13.5 m/s) = 17,550 kg m/s • Solve for cycle: p = (350 kg) (30 m/s) = 10,500 kg m/s – The car has more momentum even though it is going much slower.
  • 8.  The product of a force acts is called the impulse.  Impulse is a way to measure a change in momentum because it is not always possible to calculate force and time individually since collisions happen so fast.
  • 9. To find the impulse, you rearrange the momentum form of the second law. Impulse (N•sec) F∆ t=∆ p Change in momentum (kg•m/sec) Impulse can be expressed in kg•m/sec (momentum units) or in N•sec.