MOMENTUM AND COLLISIONS                 NAME _________________________

 

PARTNER _________________________

DATE DUE _________________

DATE _________________________

 

PURPOSE:   In this lab, you will measure the effects of a collision on two objects.

 

EQUIPMENT:   air track      photogates (2)      Velcro strips      air track gliders (2 small gold if possible) 

                            air supply    (5" x 8" note card if you are using the large red gliders)

 

PROCEDURE:

I. ELASTIC COLLISIONS

 

1.     Weigh each air glider and RECORD in the Data Table.  MAKE SURE THEY ARE THE SAME SIZE

2.     Assemble the air track and photogates as shown in "Figure #1".  LEVEL THE AIR TRACK (Hint: the          closer together the photogates are together the less momentum you’ll loose while traveling to the next                photogate after the collision.  The less momentum lost, the smaller your %Difference will be.)

E  MAKE SURE THE DISTANCE BETWEEN THE PHOTOGATE LIGHT BEAM AND THE END           OF THE AIR TRACK IS GREATER THAN THE LENGTH OF THE GLIDER.

3.     Adjust the height of each photogate so the light beam is the same height as the fin on the gliders.

4.     Measure the lengths of each glider fin and RECORD in the Data Table 1. (You can use the yellow ruler on         the side of the air track.)

5.     Turn on the air supply to the air tracks and position the gliders as shown in "Figure #1" (on the last page).

6.     Reset the photogate timers to "0".

7.     Give glider #1 a SLIGHT push so that it goes through photogate #1 and collides with glider #2.

8.     After glider #2 goes through photogate #2, one of the lab partners has to catch it so that it DOES NOT   

        BOUNCE BACK THROUGH THE PHOTOGATE.

9.     RECORD both photogate times in the Data Table 1.

 

DATA TABLE I: Elastic Collisions

 

GLIDER

 

GLIDER MASS (gm)

 

GLIDER LENGTH (cm)

 

PHOTOGATE TIMER (sec)

 

1

 

 

 

 

 

 

 

2

 

 

 

 

 

 

II.  INELASTIC COLLISION

 

10.   Attach Velcro strips to the spring bumpers of each glider where they come in contact with each other.

11.   If you are using the large red gliders: Attach a 5" x 8" note card (cut lengthwise) to the fin of glider #2 as          shown in Figure #2.  Raise the photogate #2 high enough so that the light beam only hits the note card.             Measure the length of the note card and record in Data Table 2 in the box for Glider length 1+2.

        If you are using the small gold gliders: The glider length of 1+2 will be the lengths of the 2 gliders added           together since both pass through the photogate.

12.   Repeat Steps #7 - #9 above and RECORD the times in the Data Table 2 for Inelastic Collisions.

 

 

DATA TABLE II: Inelastic Collisions

 

GLIDER

 

GLIDER MASS (gm)

 

GLIDER LENGTH (cm)

 

PHOTOGATE TIMER (sec)

 

1

 

 

 

 

 

 

 

1+2

 

 

 

 

 

 

III. MOMENTUM LOST IN A COLLISION:

 

1.     Remove one of the gliders (the one with the note card if you have the red glider) from the air track.

2.     Turn on the air supply and give the remaining glider a SLIGHT push through the photogates.

3.     As the glider passes through the photogate #2, QUICKLY RESET THE TIME ON THE TIMER.

4.     After the glider bounces off of the end of the air track, let it go through photogate #2, but stop the          glider before it passes back through photogate #1.

5.     RECORD the time on the timer for photogate #1.

6.     RECORD the time on the timer for photogate #2.

7.     Either remove the rubber band or replace the rubber band (which ever you did not do) on the end of the air         track and repeat Steps #2-#6.

DATA TABLE III: Momentum Lost in a Collision

 

TRIAL

N0.

 

TYPE of SPRING

 

GLIDER MASS

(gm)

 

PHOTOGATE #1

(sec)

 

PHOTOGATE #2

(sec)

 

1

 

RUBBER BAND

 

 

 

 

 

 

 

2

 

STEEL SPRING

 

 

 

 

 

 

CALCULATIONS:    SHOW ALL YOUR CALCULATIONS ON A SEPARATE PAGE

                             PUT YOUR RESULTS IN THE CALCULATION TABLES

NOTE: You may convert from centimeters and grams to meters and kilograms if you wish for your momentum units to be kg*m/s. Or you can leave your measurements in centimeters and grams and have your momentum units in g*cm/s. Either is fine AS LONG AS YOU MAKE YOUR CHOICE OBVIOUS AND CONSISTENT.

Formula #1

 
 


ELASTIC COLLISIONS

1.     Calculate the VELOCITY of each glider using Formula #1 at the right, where:

"d" is the length of the glider fin, and

"t" is the time for the glider fin to pass through the photogate.

Formula #2

 
 


2.     Calculate the MOMENTUM of each glider for the Elastic Collisions using    

        Formula #2 at the right where:                                                                                           

"m" is mass, and

Formula #3

 
"v" is velocity of the glider (found in Calculation #1).

 


3.     Calculate the % DIFFERENCE between the                                momentums of each glider using the formula at the                  right:

 


Calculation Table 1 for Elastic Collisions

BEFORE THE COLLISION

AFTER THE COLLISION

 

 

VELOCITY GLIDER#1

 

MOMENTUM

GLIDER #1

 

VELOCITY

GLIDER #2

 

MOMENTUM

GLIDER #2

 

% DIFFERENCE

 

 

 

 

 

 

 

 

 

 

INELASTIC COLLISIONS

1.     Calculate the VELOCITY of the first glider and the combined gliders using Formula #1 above.

2.     Calculate the MOMENTUM of the first glider and the gliders combined using Formula #2 for momentum above, with this exception: for the attached gliders, the MASS is the combined masses of the two gliders.

3.     Calculate the % DIFFERENCE between the momentums of the first glider and the two combined using    

        Formula #3 with this exception: “glider #2” is the combined gliders.

Calculation Table 2 for Inelastic Collisions

 

VELOCITY

GLIDER #1 (before)

 

MOMENTUM

GLIDER # 1

 

VELOCITY GLIDERS COMBINED (after)

 

MOMENTUM OF

BOTH GLIDERS

 

% DIFFERENCE

 

 

 

 

 

 

 

 

 

 

MOMENTUM LOST IN A COLLISION

1.     Calculate the VELOCITY of the glider before and after it bounces off of the end of the air track using     Formula #1 above.

Formula #4

 
2.     Calculate the MOMENTUM of the glider before and after it bounces off of the end of the air track         Formula #2 above.

3.     Calculate the % DIFFERENCE of the before and            after using Formula #4 at the right:

 

 

Calculation Table 3 for Momentum Lost in a Collision

 

 

VELOCITY GLIDER (before)

VELOCITY GLIDER (after)

MOMENTUM GLIDER (before)

MOMENTUM GLIDER (after)

% DIFFERENCE

Rubber band

 

 

 

 

 

Steel spring

 

 

 

 

 

CONCLUSION/ANALYSIS:  ANSWERS ON A SEPARATE SHEET OF PAPER!!

  

1.     Why did the gliders lose momentum?  Where did it go?

2.     Which collision lost the most momentum: elastic or inelastic?

3.     Why was it so important for the gliders to be of equal masses for the elastic collisions?

4.     Predict what would happen if the glider #1 were: 

      a) smaller than the glider struck   b) larger than the glider struck

5.     Why did it not matter what the mass of each glider was in the inelastic collision?

6.     Describe two everyday examples of:     a) elastic collisions      b) inelastic collisions

7.     Why do you always lose momentum in a collision, either elastic or inelastic?  EXPLAIN   

       YOUR ANSWER