Projectiles-lab (1) - Microsoft Word - X Home Insert Page Layout References Mailings Review View do Cut Times New Roman - 10 - A A = FF : 2 1 Find Copy AaBbCcI AaBbCcI AaBbCAaB AaBbCc. AaBbCcL AaBbCcL AaBbCc] AA Bac Replace Paste Format Painter BI U abe x, x' AZA BEE 1 Normal 1 No Spacing Heading 1 Title Subtitle Subtle Emp.. Emphasis Intense Emp.. - Change Styles Select Clipboard Font Paragraph Styles Editing To erase the projectile's path, Erase Be sure air resistance is off and spend some time firing various projectiles. Set the initial speed to a value between 10-15m/s. Choose your favorite projectile. Find the range of the projectile at various angles. 0 = _30 Range (dx) = 14.5 m 0 =_70 Range (dx) =_ 9.9 m 0= 40 Range (dx) = 15.8 m 0= 80 Range (dx) = 5.2 m 0= 50 Range (dx) = 15.4 m Add two 0 = 20 Range (dx) = 12.0 m more- 0 = 60 Range (dx) = 13.4 m 0= 10 Range (dx) = 8.9 m Measure the distance from the cannon to the target using the tape measure. . . Move the target to 21.0 m from the cannon. Attempt to hit the target with three different angles by changing the firing angle and initial velocity Range (dx) = 21.0m 0 = 25 Vi= 12 m/s Range (dx)- 21.0m A = 30 Vi= 15m/s ....... Range (d.)= 21.0m A = 35 Vi= 14m/s VERY IMPORTANT A projectile's velocity (v) has an X component (Vx) and a Y component V = V cos 0 (vy). The X component (vx) is found by multiplying the magnitude of the velocity by the cosine of the angle, 0. Similarity, the Y component of velocity is found by multiplying the magnitude of the velocity by the sine of the angle, 0. vp = vsin e So, a projectile fired at 20 m/s at 65 has an X-velocity of |Vx = 20 cos 65 or 8.5 m/s. Page: 1 of 3 Words: 892 English (United States) B = 100% + Q WE EC ENG 4:39 PM Search myhp US 2023-04-08Projectiles-lab (1) - Microsoft Word - X Home Insert Page Layout References Mailings Review View & Cut Times New Roman - 10 - A AFF21 AA Find Copy AaBbCcI AaBbCcI AaBbCAaB AaBbCc. AaBbCCI AaBbCcL AaBbCc] Bac Replace Paste Format Painter BI U abe x x' Aa ZAB= =$ 2 - 1 Normal 1 No Spacing Heading 1 Title Subtitle Subtle Emp... Emphasis Intense Emp. - Change Styles Select Clipboard Font Paragraph Styles Editing Name: Muhammad Essa Khan Projectile Motion (Intro)PhET Simulations Lab Authors Chris Bires https://phet.colorado.edu/sims/html/projectile-motion/latest/projectile-motion_en.html Introduction: Projectiles travel with two components of motion, X any Y. The acceleration and velocity in the Y direction is independent of the acceleration (if any) and velocity in the X direction. In this module, you will investigate the motion of a simple projectile. Realize that while gravity Projectile Motion (acceleration) acts on the projectile in the Vertical direction, it does not affect the velocity of the projectile in the Horizontal direction. Procedure: (we will be ignoring air resistance during this lab) Run the PhET Simulations > Play -> Motion > Projectile Motion Run Now! . . The cannon can be moved to add or remove initial Y position and X position. The cannon can be pivoted to change the firing angle, 0. . The tape measure can be moved and dragged to measure range to target. To fire the cannon, Fire To erase the projectile's path, Erase Be sure air resistance is off and spend some time firing various projectiles. Set the initial speed to a value between 10-15m/s. Choose your favorite projectile. Find the range of the projectile at various angles. 0 = _30 Range (dx) = 14.5 m 0 = _70 Range (dx) = 9.9 m 0=_40 Range (dx) = 15.8 m 0 = 80 Range (dx) = 5.2 m 0= 50 Range (dx) = 15.4 m Add two 0= 20 Range (dx) = 12.0 m more 0 = 60 Range (dx) = 13.4 m 0 =_10 Range (dx) = 8.9 m Page: 1 of 3 Words: 892 English (United States) BY = 100% + WE EC ENG 4:40 PM Q Search myhp US 2023-04-08Projectiles-lab (1) - Microsoft Word - X Home Insert Page Layout References Mailings Review View & Cut Times New Roman AaBbCcI AaBbCcI AaBbCAaB AaBbCc. AaBbCCI AaBbCcL AaBbCc] AA Find Copy Bac Replace Paste Change Format Painter BI U abe x x' Aa Z A BE 1 Normal 1 No Spacing Heading 1 Title Subtitle Subtle Emp. Emphasis Intense Emp. - Styles Select Clipboard Font Paragraph Styles Editing A projectile fired at 30 degrees with a velocity of 15 m/s would have an x-velocity component of 12.99 m/s and a y-velocity component of 7.50 m/s. Calculate the components of the following projectile's velocities: 1. v= 35 m/s0 = 15Vx =33.81m/s_ 4. v= 35 m/s 0 =60Vx Vx =9.06m/s = 17.50m/S Vy = _30.31m/s_ 2. v= 35 m/s0 = 30Vx =_30.31m/s_ 5. v= 35 m/s 0 =75Vx = _9.06m/s Vy Vy = _17.50m/s = 33.81m/s 3. v= 35 m/s 0 = 45Vx =24.75 m/s 6. v= 35 m/s 0 =90Vx =_0m/s_ Vy = _24.75 m/s_ Vx = _35m/s_ We can reverse the process and combine the two components of velocity back into one velocity fired at an angle. The magnitude of velocity is found using the Pythagorean Theorem with va and vy as the legs of a right triangle. For instance, the velocity of a projectile with an x-component of 7.2 and a y-component of 4.8 is v7.22 + 4.82 =8.7 m/s. The angle above the horizontal is found using the inverse tangent (tan ]) of the legs vy/Vx- For instance, the angle of the projectile described above would be tan 1(4. (7 ) = 340 Calculate the velocity magnitude and angle of the projectiles listed below: Page: 2 of 3 | Words: 892 English (United States) BO = 100% + EC ENG 4:41 PM Q Search myhp WE US 2023-04-08Projectiles-lab (1) - Microsoft Word - X Home Insert Page Layout References Mailings Review View & Cut Find Times New Roman - 10 - AA EFF: 21 AaBbCcI AaBbCcI AaBbCAaB AaBbCc. AaBbCcL AaBbCcI AaBbCc] AA Copy Bac Replace Paste Format Painter BI U abe x x' Aa 2 ABB 1 Normal 1 No Spacing Heading 1 Title Subtitle Subtle Emp.. Emphasis Intense Emp.. - Change Styles Select Clipboard Font Paragraph Styles Editing 7.2 Calculate the velocity magnitude and angle of the projectiles listed below: 7. Vx = 5.6 vy =6.4 v= 8.50m/s 9. Vx = 8.1Vy =-7.2v= 10.84m/s 0 = 48.8 0 = -41.6 or 41.6 8. Vx = 2.8vy =4.9 v= 5.64 m/s 10. Vx = -1.3vy =-5.2 v= 5.36m/s 0= 60.3 0 = 76 Conclusion Questions: 1. Without air resistance, the piano travels further / the same distance as the football. (circle) 2. This is due to the fact that velocity in the X-direction increases / is constant / decreases as projectiles travel. 3. The Y-component of velocity increases / is constant / decreases as projectiles travel. 4. The answers to #2 and #3 are due to the fact that gravity acts only in the Y / both the X any Y direction. 5. The path of a projectile is a linear curve / round curve / parabolic curve. 6. This is due to the fact that the time component in the free fall equation (dy) is square Page: 2 of 3 |Words: 892 English (United States) B = 100% + ENG 4:41 PM Q Search 9 myhp E US 2023-04-08Projectiles-lab (1) - Microsoft Word - X Home Insert Page Layout References Mailings Review View & Cut Find Times New Roman - 10 - A A EFF21 Copy AaBbCcI AaBbCcI AaBbCAaB AaBbCc. AaBbCCI AaBbCcL AaBbCc] AA Bac Replace Paste Format Painter BIU abe x, x' Aa Z A BE & 1 Normal 1 No Spacing Heading 1 Title Subtitle Subtle Emp.. Emphasis Intense Emp... - Change Styles Select Clipboard Font Paragraph Styles Editing 7. Without air resistance, maximum range of a projectile is obtained with an angle of 45 8. The same range can be obtained with angles of 60 and 30 9. Firing a projectile at 25 m/s at an angle of 350 is similar to firing a projectile with a speed of 14.3m/s straight up and 20.5m/s horizontally. 10. A projectile with a horizontal component of 13 m/s and a vertical component of 18 m/s would have an overall velocity of 22.2 m/s m/s at an angle of 54.2 above the horizontal. Page: 2 of 3 | Words: 892 English (United States) B = 100% + ENG 4:41 PM Q Search 9 myhp E US 2023-04-08