Volleyball+Projectile

Chelsea and Karolina

﻿**Lab Goal**: To find how much work is done on a projected volleyball that is passed and hit.

1 Volleyball 1 Video Camera 3 People 1 Measuring tape
 * Materials: **

1. Set up video camera in a position where you can see every the ball make its parabolic shape. (Note: Do not move the camera.) 2. Measure the height between the forearm platform of person 2 and the floor. (Record this as the change in y.) 3. Have person A hit the volleyball at person B who is in a ready position to pass it. 4. Once the ball is passed, have person B stay in place and person A mark the spot where the ball first hit the floor after the pass. Stop recording. 5. Measure the horizontal distance from where the ball was passed and landed. 6. Have person 1 hold a volleyball in their hand in the air. 7. Have person 1 hit the ball, making sure their feet are in the same spot. Mark the spot on which the ball hits the floor. 8. Repeat steps 3 and 4. 9. Use data to find the amount of work done on the projectile.
 * <span style="font-family: Georgia,serif;">Procedure: **

<span style="color: #6100cc; font-family: Georgia,serif; font-size: 150%;">Bump:

media type="youtube" key="Y9ueMM8BfjE?fs=1" height="385" width="480"



<span style="font-family: Georgia,serif;">mass of ball = 281 g
 * <span style="font-family: Georgia,serif;">Data: **
 * **<span style="font-family: Georgia,serif;">Horizontal Info ** || **<span style="font-family: Georgia,serif;">Vertical Info ** ||
 * <span style="font-family: Georgia,serif;">x= 2.54 m || <span style="font-family: Georgia,serif;">y=0.889 m ||
 * <span style="font-family: Georgia,serif;">Vi = 2.73 m/s || <span style="font-family: Georgia,serif;">Vi=0 m/s ||
 * <span style="font-family: Georgia,serif;">v[f]= 11.84 || <span style="font-family: Georgia,serif;">Vf ||
 * <span style="font-family: Georgia,serif;">a || <span style="font-family: Georgia,serif;">a=-9.8 m/s/s ||
 * <span style="font-family: Georgia,serif;">t=0.93 s || <span style="font-family: Georgia,serif;">t= 0.93 s ||


 * <span style="font-family: Georgia,serif;">Amount of work done: **

<span style="font-family: Georgia,serif;">﻿Work = r <span style="font-family: Georgia,serif;">TME <span style="font-family: Georgia,serif;">Final velocity = V[i]+acceleration*time <span style="font-family: Georgia,serif;">Final velocity = 2.73m/s + 9.8*0.93s <span style="font-family: Georgia,serif;">Final velocity = 11.4 m/s

<span style="font-family: Georgia,serif;"> r TME = TME[f] - TME[i] <span style="font-family: Georgia,serif;"> r TME= ( KE[f] + PE[f] ) - (KE[i] + PE[i] ) <span style="font-family: Georgia,serif;"> r TME = ( 1/2*mass*final velocity^2 + mass*gravity*height ) - (1/2*mass*initial velocity^2 + mass*gravity*height )

<span style="font-family: Georgia,serif; font-size: 120%;">Work = (1/2 * 281 * 11.84^2 + 281 * 9.8* 0.889) - (1/2 * 281 * 2.73^2) + 281 * 9.8 * 0.889)

//<span style="font-family: Georgia,serif; font-size: 150%;">Work= 18,648.9 Joules (bump) //

<span style="color: #0092ff; font-family: Georgia,serif; font-size: 150%;">Spike:

media type="youtube" key="gHvErlWHP3k?fs=1" height="385" width="480"




 * <span style="font-family: Georgia,serif;">Dat﻿a: **
 * **<span style="font-family: Georgia,serif;">Horizontal Info ** || **<span style="font-family: Georgia,serif;">Vertical Info ** ||
 * <span style="font-family: Georgia,serif;">x= 1.7 m || <span style="font-family: Georgia,serif;">y=1.57 m ||
 * <span style="font-family: Georgia,serif;">Vi=0 m/s || <span style="font-family: Georgia,serif;">Vi=5.78 m/s ||
 * <span style="font-family: Georgia,serif;">v[f]=6.98 m/s || <span style="font-family: Georgia,serif;">Vf=0 m/s ||
 * <span style="font-family: Georgia,serif;">a= -9.8 m/s/s || <span style="font-family: Georgia,serif;">a=-9.8 m/s/s ||
 * <span style="font-family: Georgia,serif;">t=.59 s || <span style="font-family: Georgia,serif;">t=.59 s ||


 * <span style="font-family: Georgia,serif;">Amount of work done: **

<span style="font-family: Georgia,serif;">﻿Work = r <span style="font-family: Georgia,serif;"> TME <span style="font-family: Georgia,serif;">Final velocity = V[i]+acceleration*time <span style="font-family: Georgia,serif;">Final velocity = 2.73m/s + 9.8*0.93s <span style="font-family: Georgia,serif;">Final velocity = 11.4 m/s

<span style="font-family: Georgia,serif;"> r TME = TME[f] - TME[i] <span style="font-family: Georgia,serif;"> r TME= ( KE[f] + PE[f] ) - (KE[i] + PE[i] ) <span style="font-family: Georgia,serif;"> r TME = ( 1/2*mass*final velocity^2 + mass*gravity*height ) - (1/2*mass*initial velocity^2 + mass*gravity*height )

<span style="font-family: Georgia,serif; font-size: 110%;"> r TME = (1/2 * 281 * 6.98^2 + 281 * 9.8* 1.57) - (1/2 * 281 * 5.78^2 + 281 * 9.8 * 1.57)

//<span style="font-family: Georgia,serif; font-size: 150%;">Work = 2,151.34 Joules (spike) //

<span style="font-family: Georgia,serif;">When we started this experiment, we initially were going to use projectiles. Throughout the course of the experiment, we realized that we could find much more than just projectile information. Furthermore, we used our projectile data to calculate the amount of work done on the ball throughout the time span. We would the change in time for both the bump and spike by analyzing both velocity graphs. We subtracted the intial time from the final to get the total change in time. To find the horizontal velocity, we used the formula: change in distance/change in time. We knew that there was no intial vertical velocity. To find the final vertical velocity, we used the formula: Final velocity = Initial velocity + acceleration x time. KE + PE = TME. The change in TME is equal to the amount of work done. Therefore, we calculated the amount of work that was done by using the formula: 1/2*mass*velocity^2+mass*gravity*height. There might have been errors in our experiement because of slightly inaccurate measurments of the change in x and change in y. The calculation of work for the bump resulted in a very high number. This is because the ball was thrown by someone therefore the work is the total work done during the entire motion. This amount of work is drastically different from the spike because for the spike, the ball was initially at rest. We found the velocities of both motions by finding the difference between the final and initial velocity on the velocity-time graphs on Logger Pro.
 * <span style="color: #009456; font-family: Georgia,serif; font-size: 120%;">Reflection/ Conclusion: **