Experiment 7

General Physics I Laboratory (PHY221L) Conservation of Linear Momentum and Energy Name: Aliyah Date: 10 / 24 / 2023 ______________________________________________________________________________ Introduction State what you show or demonstrate in this laboratory experiment. Include the background/theory and any useful equations used in the lab. (5 points) In this lab we used the ballistic pendulum set up. When the ball gets launched it moves the angle from 0 to what the maximum angle would be. Materials: Ballistic pendulum setup, ruler and scale. Method 1. Measure the length of the ballistic pendulum (L), mass of the steel ball and mass of the pendulum. Record your results in table 1. 2. Calculate the initial momentum ( p i = m ball v i ) when the initial velocity of the ball ( v i ) is 6 m/s. Record your results in table 1. 3. Load the steel ball into the projectile launcher. Make sure to load it to the first position. 4. Shoot the steel ball into the ballistic pendulum and record the maximum angle of the ballistic pendulum in table 2. 5. Repeat the above step for ten (10) times and record all your values. 6. Calculate the final velocity ( v f = √ 2 gL ( 1 − cosθ ) ) after the collision, and final momentum ( p f = ( m ball + m pendulum ) v f ) and complete the table 2 Results (60 points) Place your data in this section Table 1 m ball ( kg ) 0.00763 m Pendulum ( kg ) 0.07989 L ( m ) 0.231 p i ( kg m s ) 0.04578

Table 2 Measurements θ ( degree ) v f ( m / s ) p f ( kg.m / s ) 1 15.5 0.406 0.0355 2 15.0 0.393 0.0344 3 16.0 0.419 0.0367 4 16.0 0.419 0.0367 5 16.0 0.419 0.0367 6 15.0 0.393 0.0344 7 16.0 0.419 0.0367 8 16.0 0.419 0.0367 9 15.5 0.406 0.0355 10 15.5 0.406 0.0355 Average 15.65 0.4099 0.0361 Data Analysis (30 points) This part is for data analysis. You can insert graphs and a sample of your calculation. 1. Compare between the initial and final momentum and calculate the percent difference. (15 points) ((l Pi-Pf l )/(Pi+Pf/2))*100=%error (( l 0.04578- 0.0361 l )/ (0.04578+0.0316/2))=25.0194% (0.00968)/(0.03869)*100= 25.0194 Is the momentum conserved? Explain. Yes because the 25% difference was not beyond the limit that was used for this experiment 2

had also seen that our momentum was conserved in the beginning with the percentage being way below the 25% 4