LABORATORY EXPERIMENTS IN PHYSICS STUDENT LAB REPORT Experiment : Projectile Motion Name : …………………….. Date : ……………… Part (1): Objective: To show that the time of flight of a horizontal projectile is independent of its initial speed. Procedures: 1- Open the following link (from PHET Simulation): https://phet.colorado.edu/sims/html/projectile-motion/latest/projectile-motion_en.html 2- Set the height at 12 m, or any value between (10 -15) m. 3- Adjust the angle of the launcher θ at zero degree. 4- Set the velocity of the launcher at 7 m/s and fire the ball then measure the timer of flight (T) at the point where the ball hits the ground. 5- Repeat the previous step for four different values of velocity as shown in table 1 and measure the corresponding time (T). 6- Report your data in Table (1). 1 Table (1) V (m/s) Time of flight (T) s 7 11 13 19 24 Comment: …………………………………………………………………………………………………….….… ………………………………………………………………………………………………………..… …………………………………………………………………………………………………….….… ………………………………………………………………………………………………………..… 7- Discuss the results in Table (1). ……….…………………………………………………………………………………………………… ……….…………………………………………………………………………………………………… 8- What is the effect of air resistance on the range? ……….…………………………………………………………………………………………………… 2 Part (2): Objective: To verify that the horizontal component of the velocity (vx) of the projectile is constant during its motion. Procedures: 1- Open the same link: https://phet.colorado.edu/sims/html/projectile-motion/latest/projectile-motion_en.html 2- Set the height at zero level, H=0 m as shown: 3- Adjust the launcher at θ = 40o. 4- Set the initial velocity of the projectile vo at 19 m/s. (you are free to select the initial velocity) 5- Fix the height (H), initial velocity (vo) and the angle (θ) at the above values and don’t change them during this part. 6- Measure the time of flight for different horizontal distances as shown in the Table 2. Table (2) Distance X (m) 7.50 9.93 Time of flight (T) s Horizontal velocity of the projectile vx= X/T 11.66 15.20 19.51 24.50 3 7- Discuss your results in Table (2). ……….……………………………………………………………………………………………………… ……….……………………………………………………………………………………………………… 8- What are the velocity and the acceleration of the projectile at the highest point? ……….……………………………………………………………………………………………………… ……….……………………………………………………………………………………………………… 9- Calculate the velocity of the ball just before it hits the ground. ……….……………………………………………………………………………………………………… ……….……………………………………………………………………………………………………… 10- Study the effect of air resistance on the range and write down your conclusion. ……….……………………………………………………………………………………………………… ……….……………………………………………………………………………………………………… Part (3): Objective: i- To study the relationship between the angle of the projectile and its angle . ii- To find the acceleration of gravity gexp Procedures: 1- Open the same link: https://phet.colorado.edu/sims/html/projectile-motion/latest/projectile-motion_en.html 2- Click on Lab 3- Leave the settings to the right of the screen as they are. 4- Set the initial speed at 20 m/s 5- Adjust the launcher at 30 o 4 6- Click on the red button below and release the projectile 7- Move the red circle horizontally toward the projectile target and measure the range R 8- Record the angle (θ) and the range (R) in table 3 in your lab report 9- Repeat steps 6-8 for the angles (34o, 43o, 52o, 60o, 71o, 86o) 10- Calculate sin (2θ) and record that in Table 3 11- Draw the range (R) versus the angle (θ) using Excel (Hint: this relation is not linear) 12- Draw the range (R) versus sin (2θ) using Excel, then find the slope of the line Table (3) θo 23 vo= 20 m/s Sin (2θ) R (m) 34 43 52 60 5 71 86 Slope= ………………………………………… 13- From the slope of (R-sin2θ) graph, calculate the acceleration of gravity: gexp= …………………………………………… 14- Calculate the percentage error in g: g % ……………………………………… 15- Attach the graphs to your lab report Questions: 1- Derive the following equation: t 2y g ………….……………………………………………………………………………………………………… ………….……………………………………………………………………………………………………… 2- Does a change in the angle of the projectile change the time of flight? If yes, explain how? ………….……………………………………………………………………………………………………… ………….……………………………………………………………………………………………………… 3- Refer to part (3), what angle produces the maximum range? Explain why. ………….……………………………………………………………………………………………………… ………….……………………………………………………………………………………………………… Conclusions: …………………………………………………………………………………………………….….… ………………………………………………………………………………………………………..… …………………………………………………………………………………………………….….… ………………………………………………………………………………………………………..… 6