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					GateWay CC



 PHY101 Physics Lab:                                            ELASTIC COLLISION
 Purpose

    The purpose of this lab is to calculate the initial/final velocity of objects in elastic collision,
    using the principle of conservation of momentum and conservation of energy during the
    collision
 Theory

         Measurement of velocity in this lab is based on the principle of conservation of
         momentum and conservation of energy. If m is the mass of the first
         object and M is the mass of the second object in elastic collision,
         then based on the principle of conservation of momentum:

                          Momentum before the collision = Momentum after the collision

                                           m  v1i  M  v2i  (m  M )  v f




         where:
         v1i - is the initial velocity of the of the first object.
         V2i - is the initial velocity of the of the second object.

         vf - is the final velocity of two objects joined after the collision.
         m  v1i  M  v 2i - is momentum of the system before the collision.
          ( m  M )  v f - is momentum of the system after the collision.

         If we solve last equation for final velocity of two objects after the collision:


                                                              m  v1i  M  v2i
                                                       vf 
                                                                   mM




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GateWay CC

 INITIAL SETUP

         a) Go to the following website and follow instructions bellow.
                     http://www.gwc.maricopa.edu/class/phy101/Flash/collision.htm

 Description of the simulation: This flash animation simulates collisions in one dimension. To run
 simulations enter the masses of RED and BLUE objects and their initial velocities (velocities
 before the collision). Press "Go" to initiate the simulation. Press "Stop" at any time to pause the
 simulation. Pressing "Go" will restart it at that point. By entering various data for the masses
 and initial velocities of each object you can simulate your own collision.

 Case 1: Elastic collision between two object of Equal Mass

 Settings: Blue object is at REST before the collision.
           Red Object         Red Object        Blue Object     Blue Object
           Mass (mr)         Velocity(mv)        Mass(mb)       Velocity(mb)
               kg                m/s                kg              m/s
              1.0                +1                 1.0             0.0
 Record these values of your notebook – report. Before running the simulation calculate the
 following initial values and record them in table on your notebook.
           Initial Momentum of           Initial Momentum of           Total Initial
                 Red Object                   Blue Object              Momentum
                    mr*vr                        mb*vb                mr*vr + mb*vb
                   kgm/s                         kgm/s                   kgm/s


 Press "GO" and watch the simulated collision. Press "STOP" before the blue or red object strikes
 the right or left side bumper. Computer will display final velocities of two objects – velocities
 after the collision. Record these velocities on your notebook.
         Velocity of Red Object          Velocity of Blue Object
                  m/s                              m/s


 Indicate each object direction with a + or - sign. Plus sign indicate motion to the RIGHT, minus
 sign indicate motion to the LEFT.

 Reset the Experiment.

 Calculate the following final values after the collision:
           Final Momentum of              Final Momentum of            Total Final
               Red Object                     Blue Object              Momentum
                  mr*vr                          mb*vb                mr*vr + mb*vb
                  kgm/s                          kgm/s                   kgm/s


 What is the relationship between the initial and final momentums?

 ANSWER:

 Describe the motion of the red and blue cart before and after the collision?

 ANSWER:

 Where was the point of impact? _________ cm



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GateWay CC

 Case 2: Elastic collision between two object of Different Mass

 Settings: Blue object is at REST before the collision.
             Red Object           Red Object       Blue Object     Blue Object
             Mass (mr)           Velocity(mv)       Mass(mb)       Velocity(mb)
                 kg                  m/s               kg              m/s
                1.0                  +1                3.0             0.0
 Record these values of your notebook – report. Before running the simulation calculate the
 following initial values and record them in table on your notebook.
           Initial Momentum of           Initial Momentum of            Total Initial
                 Red Object                   Blue Object               Momentum
                    mr*vr                        mb*vb                 mr*vr + mb*vb
                   kgm/s                         kgm/s                    kgm/s


 Press "GO" and watch the simulated collision. Press "STOP" before the blue or red object strikes
 the right or left side bumper. Computer will display final velocities of two objects – velocities
 after the collision. Record these velocities on your notebook.
         Velocity of Red Object          Velocity of Blue Object
                  m/s                              m/s


 Indicate each object direction with a + or - sign. Plus sign indicate motion to the RIGHT, minus
 sign indicate motion to the LEFT.

 Reset the Experiment.

 Calculate the following final values after the collision:
           Final Momentum of              Final Momentum of             Total Final
               Red Object                     Blue Object               Momentum
                  mr*vr                          mb*vb                 mr*vr + mb*vb
                  kgm/s                          kgm/s                    kgm/s


 What is the relationship between the initial and final momentums?

 ANSWER:

 Describe the motion of the red and blue cart before and after the collision?

 ANSWER:



 Where was the point of impact? _________ cm




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GateWay CC

 Case 3: Elastic collision between two objects in motion and Equal Mass

 Settings: Objects are traveling in opposite direction.
             Red Object           Red Object       Blue Object     Blue Object
             Mass (mr)           Velocity(mv)       Mass(mb)       Velocity(mb)
                 kg                  m/s               kg              m/s
                1.0                  +1                1.0             -1.0
 Record these values of your notebook – report. Before running the simulation calculate the
 following initial values and record them in table on your notebook.
           Initial Momentum of           Initial Momentum of            Total Initial
                 Red Object                   Blue Object               Momentum
                    mr*vr                        mb*vb                 mr*vr + mb*vb
                   kgm/s                         kgm/s                    kgm/s


 Press "GO" and watch the simulated collision. Press "STOP" before the blue or red object strikes
 the right or left side bumper. Computer will display final velocities of two objects – velocities
 after the collision. Record these velocities on your notebook.
         Velocity of Red Object          Velocity of Blue Object
                  m/s                              m/s


 Indicate each object direction with a + or - sign. Plus sign indicate motion to the RIGHT, minus
 sign indicate motion to the LEFT.

 Reset the Experiment.

 Calculate the following final values after the collision:
           Final Momentum of              Final Momentum of             Total Final
               Red Object                     Blue Object               Momentum
                  mr*vr                          mb*vb                 mr*vr + mb*vb
                  kgm/s                          kgm/s                    kgm/s


 What is the relationship between the initial and final momentums?

 ANSWER:

 Describe the motion of the red and blue cart before and after the collision?

 ANSWER:



 Where was the point of impact? _________ cm




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GateWay CC

 Case 4: Elastic collision between two objects in motion and Different Mass

 Settings: Objects are traveling in opposite direction.
             Red Object           Red Object       Blue Object     Blue Object
             Mass (mr)           Velocity(mv)       Mass(mb)       Velocity(mb)
                 kg                  m/s               kg              m/s
                1.0                  +1                3.0             -1.0
 Record these values of your notebook – report. Before running the simulation calculate the
 following initial values and record them in table on your notebook.
           Initial Momentum of           Initial Momentum of            Total Initial
                 Red Object                   Blue Object               Momentum
                    mr*vr                        mb*vb                 mr*vr + mb*vb
                   kgm/s                         kgm/s                    kgm/s


 Press "GO" and watch the simulated collision. Press "STOP" before the blue or red object strikes
 the right or left side bumper. Computer will display final velocities of two objects – velocities
 after the collision. Record these velocities on your notebook.
         Velocity of Red Object          Velocity of Blue Object
                  m/s                              m/s


 Indicate each object direction with a + or - sign. Plus sign indicate motion to the RIGHT, minus
 sign indicate motion to the LEFT.

 Reset the Experiment.

 Calculate the following final values after the collision:
           Final Momentum of              Final Momentum of             Total Final
               Red Object                     Blue Object               Momentum
                  mr*vr                          mb*vb                 mr*vr + mb*vb
                  kgm/s                          kgm/s                    kgm/s


 What is the relationship between the initial and final momentums?

 ANSWER:

 Describe the motion of the red and blue cart before and after the collision?

 ANSWER:



 Where was the point of impact? _________ cm




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GateWay CC

 Case 5: Elastic collision between two objects in motion and Different Mass and Different Speed

 Settings: Blue object is at REST before the collision.
             Red Object           Red Object       Blue Object     Blue Object
             Mass (mr)           Velocity(mv)       Mass(mb)       Velocity(mb)
                 kg                  m/s               kg              m/s
                3.0                  +1                1.0             -3.0
 Record these values of your notebook – report. Before running the simulation calculate the
 following initial values and record them in table on your notebook.
           Initial Momentum of           Initial Momentum of            Total Initial
                 Red Object                   Blue Object               Momentum
                    mr*vr                        mb*vb                 mr*vr + mb*vb
                   kgm/s                         kgm/s                    kgm/s


 Press "GO" and watch the simulated collision. Press "STOP" before the blue or red object strikes
 the right or left side bumper. Computer will display final velocities of two objects – velocities
 after the collision. Record these velocities on your notebook.
         Velocity of Red Object          Velocity of Blue Object
                  m/s                              m/s


 Indicate each object direction with a + or - sign. Plus sign indicate motion to the RIGHT, minus
 sign indicate motion to the LEFT.

 Reset the Experiment.

 Calculate the following final values after the collision:
           Final Momentum of              Final Momentum of             Total Final
               Red Object                     Blue Object               Momentum
                  mr*vr                          mb*vb                 mr*vr + mb*vb
                  kgm/s                          kgm/s                    kgm/s


 What is the relationship between the initial and final momentums?

 ANSWER:

 Describe the motion of the red and blue cart before and after the collision?

 ANSWER:



 Where was the point of impact? _________ cm




 Gatewaycc: 9265c0db-5e2f-4098-9e7d-6b5f1cbefe46.doc   Page 6                           Last Updated: 4/3/2010

				
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