To explore and investigate projectile motion and how it can be applied to various problems.

Transcription

1 NAME: ΔY = 0 Projectile Motion Computer Lab Purpose: To explore and investigate projectile motion and how it can be applied to various problems. Procedure: 1. First, go to the following web site Motion/jarapplet.html 2. Read the Description and Instructions before doing anything. 3. You will be launching (firing) a projectile from ground level. In turn, the projectile will be landing back at ground level. Thus, ΔY = There are several controls, mass, velocity and angle. 5. For the first simulation you will set Vo = 50 m/s, mass = 10kg, and vary the angle. a. For question #1, you are to fire the projectile at the following angles:10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, and 90 degree. 6. For the second simulation you will set angle (θ) = 45, mass = 10kg, and vary the Vo. a. For question #2, you are to fire the projectile at the following Vo values in m/s: 5, 10, 15, 20, 25, 30, 35, 40, 45, and 50 m/s. 7. Answer the following questions. You will need to SHOW YOUR WORK (SYW) for several questions. 8. Using your data from table 1, Create a graph of RANGE versus launch angle. Put RANGE (Δx) on the vertical axis and angle on the horizontal axis. Attach your graph to the back of the lab. \

2 Questions: Name: 1. For Problem 1, set Vo = 50 m/s, mass = 10kg, and vary the angle. a. You will need to make use of SOHCAHTOA and calculate the initial Y and initial X velocities (V YO,V XO )of the projectile. Put your answers in the table below include units. V yo sin θ V xo cos θ Trajectory Angle Table 1 V YO V XO Range (x max ) t air Δy max Each time you launch, the simulation will provide you with your RANGE (Δx), max height (Δy max ) and time in the air (t air ). Record those values in the table

3 b. From data table 1, Which launch condition provided your maximum RANGE? (angle and range) c. From data table 1, Which launch condition provided your maximum height? (angle and height) d. From data table 1, Which launch condition provided your maximum time in the air? (θ and time) e. Looking at data table 1, explain what happened to the RANGE as the angle increased from 10 to 90 degrees. f. Looking at data table 1, explain what happened to the maximum height as the angle increased from 10 to 90 degrees. g. Looking at data table 1, explain what happened to the t air as the angle increased from 10 to 90 degrees.

4 h. Which angle pairs had approximately the same RANGE? List them here. Explain why they had the same RANGE. HINT: think geometry and look at the angles of the matching RANGES. Do you see any pattern or trend? YOU SHOULD! 2. For Problem 2: set angle (θ) = 45, mass = 10kg, and vary the Vo. a. You will need to make use of SOHCAHTOA and calculate the initial Y and initial X velocities (V YO,V XO )of the projectile. Put your answers in the table below include units. V yo sin θ V xo cos θ Trajectory Angle Table 2 V YO V XO Range (x max ) t air Δy max Each time you launch, the simulation will provide you with your RANGE (Δx), max height (Δy max ) and time in the air (t air ). Record those values in the table b. From data table 2, Which launch condition provided your maximum RANGE? (angle and range)

5 c. From data table 2, Which launch condition provided your maximum height? (angle and height) d. From data table 2, Which launch condition provided your maximum time in the air? (θ and time) e. Looking data table 2, explain what happened to the RANGE as the angle increased from 10 to 90 degrees. f. Looking at your data table 2, explain what happened to the maximum height as the Vo increased from 5 to 50 m/s. g. Looking at data table 2, explain what happened to the t air as the Vo increased from 5 to 50 m/s.