I need a report for this Physics lab.

User Generated

zbunzznq1995

Science

Description

everything you need is the files, Also please put the data in the report.

Unformatted Attachment Preview

PHYS 163 Lab #7 Projectile Motion ANALYSIS From Procedure Parts 1 - 3 Dx (m) ± Dy (m) ± 2.18 0.035 -1.1 0.015 q (deg) sin( 2q ) R (m) ± 15 0.50 1.56 0.03 1.54 1.59 25 0.77 2.12 0.04 2.07 2.16 35 0.94 2.51 0.04 2.54 2.47 45 1.00 2.65 0.02 2.67 2.62 Using Equation 7.3 combined with Parts 1 - 3 results v0 (m/s) ± v0 (H) 4.726 4.62 0.106 v0 (L) 4.514 Using Eq. 7.6 combined with graphical results v0 (m/s) ± Slope 2.163 4.60 0.137 Slope(H) 2.291 Slope(L) v0 (H) 2.034 v0 (L) 4.465 From Procedure Parts 4, 5 Steep Shallow RESULTS: v0 % difference of v0 values: Do values agree? 0.345 yes 4.738 PHYS 163 Lab #7 Projectile Motion DATA Distances should be recorded in meters Part I. Spring Gun on Table (Procedure Parts 1, 2, 3) ybt = vertical distance from bottom of ball to tabletop ytf = vertical distance from tabletop to floor yfs = vertical distance from floor to shelftop of box x0 = horizontal distance from tip of gun in unloaded position to front of table xtb = horizontal distance from front of table to front of box xi (i = 1, 2, 3) = distance from front of box to "ith" mark Dy, Dx represent displacements Distance ± ybt 32.1 0.5 ytf 90 yfs 13.5 Dy -108.6 |xi-xavg| Distance ± x0 0 0.5 0.5 xtb 200 1 0.5 x1 16.5 0.2 1.0 1.5 x2 19.5 0.2 2.0 x3 16.6 0.2 0.9 xi,avg 17.5 0.2 Dx 217.5 Part II. Spring Gun on Floor (Procedure Parts 4, 5) x0 = distance from tip of gun in unloaded position to front of box xi (i = 1, 2, 3) = distance from front of box to "ith" mark R represents horizontal displacement when Dy = 0 15o x0 Distance ± 198 1 x1 20 0.2 25o x0 Distance ± 233 1.5 1.3 x1 14 0.2 3.6 |xi-xi, avg| |xi-xi, avg| x2 25.5 0.2 4.2 x2 16.7 0.2 0.9 x3 18.3 0.2 3.0 x3 22.1 0.2 4.5 xi,avg 21.3 0.2 xi,avg 17.6 0.2 R 219.3 5.2 R 250.6 2.4 35o x0 Distance ± 45o x0 Distance ± 348 1.5 398 1.5 x1 8.5 0.2 1.9 x1 1.7 0.2 2 x2 10.8 0.2 0.4 x2 4.5 0.2 0.8 1.5 1.2 |xi-xi, avg| x3 11.9 0.2 x3 4.9 0.2 xi,avg 10.4 0.2 xi,avg 3.7 0.2 R 358.4 3 R 401.7 3.5 |xi-xi, avg| 49 #7 Projectile Motion Objectives The main objective of this experiment is to compare the actual motion of a projectile with the motion predicted by the kinematic equations Theory 1. Projectile launched horizontally If a projectile is launched horizontally with an initial speed vo, the launch velocity can be determined from the launch-to-impact horizontal and vertical displacements of the projectile. Assuming no horizontal ac- celeration after launch the horizontal displacement is given by Ax = v,At (7.1) where At is the time of flight. Initially, the vertical component of velocity of the projectile is zero, but the projectile is subject to gravitational acceleration. Hence the mo- tion in the vertical direction is that of a freely falling body with zero ini- tial vertical velocity. The vertical displacement is therefore 1 Ay = 58(At)? ) (7.2) where g = 9.8 m/s Eliminating t from Eqs. 7.1 and 7.2 yields Vo = 4x V2 (Ay) (7.3) where dy is a negative number. 2. Projectile launched at an angle relative to the horizontal If a projectile is launched upward with an initial speed v, at an angle 0, to the horizontal, the horizontal distance traveled in a time At is Ax = Vox At = (v, cos 0.) At (7.4) 50 The vertical motion of the projectile will momentarily stop when V, = Voy - gat = v, sin 0.- gát = 0) or when Vo sino ( 8 If the projectile lands at the same level it was launched from, the as- cent time will equal the descent time -- the time of flight At is given by 2At, or 2vo sino Atf (7.5) g The range, R, is defined as the horizontal distance traveled by the projectile in returning to the height from which it was launched. Thus, in Eq. 7.4, 4x = R when Ay R when 4y = 0. Note that when 4x = R, At = Atf. If Atf from Eq. 7.5 is substituted for At in Eq. 7.4 and R substituted for Ax, we find, after using a trigonometric identity, v Ax = R = sin 20. 8 (7.6) It is important to remember that Eqs. 7.5 and 7.6 are valid only when the impact point is at the same height as the launch point! Apparatus Make sure that you have each of the following on your lab bench: - Spring gun Catcher box Meter stick Adjustable inclined plane Carbon paper 1. Experimental Procedure Place the spring gun near the edge of the lab table. Fire a few shots to determine the approximate location where the ball lands on the floor. Adjust the shelf in the box to its lowest position. Tape both carbon paper and white paper to the bottom of the box and place it so that the ball will strike the box's shelf near the center. $1 2. 3. 4. Launch the ball three times. Be sure that neither the apparatus nor the box moves during the three trials. Do not move either the apparatus or the box. With the ball in the gun in the unloaded position carefully measure and record the vertical dis- placement from the bottom of the ball to the floor (yo) as well as the distance from top of the box's shelf to floor (ytb). (Subtracting these two values gives the vertical displacement of the ball from launch to impact.) Measure and record the horizontal displacement from the tip of the gun in the unloaded position to the front of the box. Finally, measure and record the distance of each of the three spots from the front of the box. Place the spring gun on the inclined plane on the floor. Set the angle of the plane to 15º. Set the box's shelf at the same vertical height as the bottom of the ball when it is in the gun in the unloaded position. Place the box containing both carbon paper and white paper so that the ball will strike the bottom of the box near the center. Launch the ball three times. Be sure that neither the apparatus nor the box moves during the three trials. Measure and record the horizontal displacement from the tip of the gun in the unloaded position to the front of the box. Measure and record the distance of each of the three spots from the edge of the box. Repeat steps 4 and 5 for three additional angular settings of the in- clined plane: 25°, 35°, and 45°. 5. 6. Analysis of Data The kinematic equations can be used to analyze and make predic- tions about the motion of an object that undergoes a constant accelera- tion. One of the goals of this activity is to assess the validity of using the kinematic equations to analyze the motion of the projectile used in the activity. We will assume that the launch speed of the ball is the same whether the ball is launched horizontally or at an angle to the hori- zontal. Equation 7.3 can be used to determine the launch speed of the ball when it is launched horizontally from some initial height. We will do this through straight calculation using our data. Equation 7.6 can be used to determine the launch speed of the ball when it is launched at an initial angle from the horizontal. We will do this through graphical analysis using our data. 52 1. Determining the launch speed of the projectile - Equation 7.3 Find the average total horizontal distance the projectile traveled after being launched horizontally, along with its uncertainty. (Remember, you need to determine both the average measurement uncertainty and the ac- cidental uncertainty to determine the uncertainty of the distance.) Use this result to determine the initial launch speed of the projectile, along with its uncertainty. 2. Determining the launch speed of the projectile - Graphical Analysis and Equation 7.6 For each launch angle, determine the range R of the projectile along with its uncertainty. Use EXCEL to plot R versus sin 20., and determine the equation to the best-fit line. Equation 7.6 predicts both the slope and y-intercept of this line: slope = vz/g, y-intercept 0. Use the slope of the best-fit line, along with the slope's uncertainty, to determine the launch speed of the projectile. - 3. Comparison of results Compare the values of vo obtained above, using both a percent differ- ence comparison and a comparison by evaluating agreement within their uncertainties. Conclusion Don't forget to include a table summarizing your final results. When discussing agreement between experimental and expected val- ues, be sure to explicitly discuss the overlap of the range of values indicated by their uncertainties. Percentage difference does not necessarily indicate agreement between two numbers. Your conclusion should address the validity of using the kinematic equa- tions in analyzing the motion of the ball used in this activity, with your arguments reinforced by the results obtained for the launch speed of the ball. Questions Assuming that the motion of the projectile in this activity can be ana- lyzed using the kinematic equations, predict the projectile's range for a launch angle of 65°, and for a launch angle of 75°. Compare these results to the experimental values obtained for a launch angle of 25° and 15°, respectively, and discuss the results of your comparison. 2. What is the range for 0. = 90°? Does your answer depend on the use of the kinematic equations? Explain.
Purchase answer to see full attachment
User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer

I have attached your solutions in the form of an xls file, and the answers to your questions in word document.

1a. For a launch velocity of 5.95 m/s and a launch angle of 65°:

𝑅=
𝑅=

𝑣𝑜 2
sin⁡(2𝜃𝑜 )
𝑔

5.952
sin⁡(130)
9.8

𝑅=

35.40
0.766
9.8

𝑅 = 2.77⁡𝑚
1b. For a launch velocity of 5.95 m/s and a launch angle of 75°:
𝑅=
𝑅=

𝑣𝑜 2
sin⁡(2𝜃𝑜 )
𝑔

5.952
sin⁡(150)
9.8

𝑅=

35.40
0.5
9.8

𝑅 = 1.81⁡𝑚

The range of the 65° launch matches closely to the range of ...


Anonymous
Just what I needed. Studypool is a lifesaver!

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags