4. In the lab, you will be analyzing the collision 4. In the lab, you will be an

Question

4. In the lab, you will be analyzing the collision 4. In the lab, you will be analyzing the collisions of two pucks on an air table. The pucks are connected to an electric pulsing system that provides a brief electric pulse 60 times per second. Each pulse results in a spark being produced between the puck and the table. By placing a sheet of paper between the puck and the table, we can use the sparks to record the position of the pucks at regular intervals. The trails of spark marks look very much like the image in the Prelab page that you will find at the beginning of the writeup for the collisions lab in the manual (or you can print it from [ sample?collision?ruler?protractor.pdf ]). Let us analyze this provided sample collision. Use the ruler and protractor to answer the following questions. 1. What is the speed of puck 2 after the collision, in cm/s? (A 5% margin of error is allowed for this question) Answer:_______________ 2. Let us take the x axis along the initial direction of puck 1, and y axis perpendicular to that and pointing up. Use the protractor to determine the direction of motion of puck 2 after the collision, in degrees. Answer: _______________ 3. Now determine the components of the velocity of puck 2 after the collision. vx, in cm/s: Answer: _______________ 4. vy, in cm/s: Answer: _______________

Explanation / Answer

1. Applying conservation of momentum

P before spark= P after spark

m1u1+m2u2= m1v1+m2v2

v2= [m1u1+m2u2]-m1v1 /m2

2.

Applying conservation of momentum along the x and y axis

m1u1x+m2u2x= m1v1x+m2v2x

v2x= [m1u1x+m2u2x]-m1v1x /m2

m1u1y+m2u2y= m1v1y+m2v2y

v2y= [m1u1y+m2u2y]-m1v1y /m2

Direction is tan theta= v2y /v2x

theta= tan-1[ v2y /v2x]

3. we have the equation in x- axis as

m1u1x+m2u2x= m1v1x+m2v2x

v2x= [m1u1x+m2u2x]-m1v1x /m2

4. we have the equation in y- axis as

m1u1y+m2u2y= m1v1y+m2v2y

v2y= [m1u1y+m2u2y]-m1v1y /m2

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