Question

Need help With Analysis questions.

Ballistic Pendulum Lab In this lab, you will explore conservation of Energy and Momentum in an inelastic collision between a projectile and a cardboard box suspended from a string. In particular, you will see that the transfer of linear momentum is easily accounted for in an inelastic collision, but the transfer of kinetic energy is not easy to measure directly. This is because Kinetic Energy in collisions transfers to vibrational, acoustic, and potential energy. Once this system is in motion after the collision, however, you will see that the Kinetic Energy of the projectile and box together is completely converted to Potential energy when the system has come to rest.

Data:

Mass of metal ball: 67g = 0.0670g

Mass of container: 10.7g = 0.0107g

Trial	H (m)
1	.216
2	.222
3	.216
4	.222
5	.184
Average H	.212

Vb(m/s)

2.36

Experiment 2

Height off ground: .292 m

Trial	Distance in m (R0)
1	.525
2	.44
3	.44
4	.445
5	.445
6	.447
Average distance	.457

V

1.85

Procedure:

1.Mount a projectile launcher horizontally on a table top.

2.Find or build a cardboard “projectile catcher” as demonstrated by your instructor. Suspend the catcher from a string, and support so that when the projectile is fired it lands squarely inside the catcher. Decide on how you will measure the speed of the projectile. If using the photogate method, set that up and test it before continuing.

3.Arrange a meter stick so that the height “h” that the catcher raises can be measured

4.Fire the projectile launcher and measure the height the catcher raises. This isn’t easily done accurately, but try to devise the best way to do it! A cell phone camera with slow motion video capture is recommended. Try to work in groups with at least one of these! If using the photogate method to measure speed, collect record time and speed for each trial   
5.Repeat the previous step at least five times. Record the five values of h. Determine the average height h, and the uncertainty δh in each measured value (i.e. how precisely can you measure the height it moves upward?).

6.If using the range method (equation 5), Move the catcher out of the way and fire the projectile horizontally. Measure the height the launcher above the ground (H), and the distance it lands, R. Repeat 5 times. Record the 5 values of R, (as well as H, which should stay fixed).

7.change the speed setting for the projectile launcher (so that it fires the projectile either faster or slower, and repeat steps 5 – 6 for the new tension.

8.When you take apart your apparatus, measure the mass of the ball (m) and the Mass of the Projectile catcher (M).

Analysis:

1.Calculate the experimental and theoretical values of v0.

2.Determine the percent difference between the experimental and theoretical values of vo.

velocity m vo Level of center of mass velocity in the inelastic collision between the ball and the box, momentum is conserved, so: equation 1 After the collision, the Kinetic Energy of the ball and box together is: equation 2: note that vvo finally, we can set the Kinetic Energy after the collision, equal to the potential energy of the system at its highest point. equation 3: by properly combining equations 1, 2, and 3, you can show that: ust after collisionEtop of the swing equation 4: 0 7m You will need to derive equation 4 in the introduction of your lab write-up! The experimental value of vo will be determined from an independent measurement of speed. You can use a photogate to measure the speed of the projectile as it leaves the cannon as done in the conservation of energy laboratory or you can separately measure the range of a projectile fired horizontally from a height H, as determined in the projectile motion lab. equation 5: 2H 8 Ballistic Pendulum Lab

Answer 1

Analys is 2H Theorcfcal valu of Vo ron rmn 2-36 mls e dibbisen xloo Theoret cof valus of V 236- 185 x 105 2-36