can someone solve for me the questions in BOLD and complet for me the Schedule S
ID: 3308063 • Letter: C
Question
can someone solve for me the questions in BOLD and complet for me the Schedule
Supplies provided: Two grooved 30 cm rulers, riser block, restickable mounting strips, acrylic sphere (the “projectile”), plumb bob (shared), meter stick, sand-filled painter’s trough, 12-inch ruler to smooth and level the sand, black marker. You will need: Pencil, calculator, cell phone with at least 30 frame/s video record rate. 1. Using the supplies provided and on a free space on your table, assemble the marble launch ramp shown in the figure and images below.
Make sure the angled face of the riser block is oriented properly (it should be on top). The bottom tip of the inclined ruler should rest on top of the horizontal ruler, about 1 cm in from the end. Use 4 restickable strips (placed as shown). Take care to ensure that the grooves in the inclined and horizontal sections are aligned and parallel to each other. The ramp should be oriented approximately parallel to a radius of the table, so that the projectile goes off at 90° to the table edge. Practice releasing the sphere down the ramp. If it does not reliably stay in the track, try realigning the two sections of the ramp. 2. Place the sand trough on the floor in a position and orientation so that the projectile rolling off the ramp lands approximately in the middle of the trough and so that one end of the trough is just below the launch point at the end of the ramp. Use the wooden ruler to smooth and level the surface of the sand. PLEASE AVOID SPILLING OR MAKING A MESS WITH THE SAND. In the next step, share the use of the plumb bob between the two groups of three at your table. 3. Hold the plumb bob string to the edge of the table so that the string is centered on the end of the ramp and the tip of the bob just grazes the sand right at the metal edge of the trough. (Carefully adjust the placement of the trough to achieve this.) Make sure the bob is hanging straight and not moving. Then use the marker make a mark on the edge of the metal trough exactly at the tip of the bob. This mark should correspond to a point at the edge of the trough directly below the launch point. From this point on, take care not to knock the trough out of position! 4. Use the meter stick to measure the height (y0) from the surface of the sand to the launch point at the end of the ramp. Take care to keep the meter stick vertical (not tipped) when you make the measurement. Round off to the nearest cm (= 0.01 m), and record the value of y0 in the table on the next page. 5. Have one person prepare to release the projectile from the top of the ramp. Have another ready with a cell phone to video-record the marble’s motion along the horizontal portion of the track. The video should be framed so that the cm scale positional markings on the horizontal ruler are visible and the ruler fills the frame. Have the third person ready to observe the impact position in the sand trough. After a practice run to make sure the team is prepared, perform three trial runs. Before each trial, make sure the sand is smoothed out and level, so that the impact point can be clearly distinguished. Also, the cell phone should start recording slightly before releasing the projectile. After each trial: (a) Using the meter stick, measure the horizontal distance from the mark on the trough to the center of the projectile at its resting point in the sand trough. In the table on the next page, record this value (to the nearest cm = 0.01 m) as the measured horizontal range xR traveled from the launch point. 3 (b) Email the recorded video of the projectile traveling along the horizontal portion of the ramp to one of your team members. On a desktop computer, open the tracking software (used in the Bouncing Ball activity) and observe the video frame by frame. Determine the horizontal launch speed (v0) by finding the distance traveled over a specific number of frames and using the fixed frame-to-frame time to determine the elapsed time over that number of frames. On the Tracker menu, select “Video -> Frame durations” to check the frame-to-frame time; it should be a number close to 33.3 ms (milliseconds).
Record the value of v0 to the nearest cm/s = 0.01 m/s in the table on the next page. Why is it more accurate to use the full length of the horizontal track in determining v0?
Trial
Launch height y0 (m)
Launch speed v0 (m/s)
Measured range xR (m)
Predicted xR (m)
Predicted v0 (m/s)
1
0.7
0.675
0.24
2
0.7
0.681
0.25
3
0.7
0.682
0.25
1-Use the laws of motion (Eqs. 3.12 and 3.13 in Wolfson) to obtain a formula for xR in terms of y0, g = 9.8 m/s2, and the launch speed v0. Do the same for v0 in terms of xR. Show your work below. Note: You may assume that the point of launch from the table is (0, y0), so x0 = 0 in Eq.
3.12, and the point of landing on the floor is (xR, 0). Also note that vx0 = v0 and vy0 = 0, since the launch velocity is horizontal.
2-Use the formula ou obtained to predict xR from your experimental values of y0 and v0 for each trial, and enter the results (rounded to nearest cm = 0.01 m) in the table. Show your work below for at least one of these calculations.
3-Use the formula you obtained to predict v0 from your experimental values of y0 and xR, and enter the results (rounded to the nearest 0.01 m/s) in the table. Show your work below for at least one of these calculations.
4-How well do the predicted values for xR and v0 agree with your measured values?
5-List three possible sources of error in the measurements you made. Which do you think is the more significant source of error and why?
Trial
Launch height y0 (m)
Launch speed v0 (m/s)
Measured range xR (m)
Predicted xR (m)
Predicted v0 (m/s)
1
0.7
0.675
0.24
2
0.7
0.681
0.25
3
0.7
0.682
0.25
Explanation / Answer
initial vel = vo
distance traveled along horizontal = xR
time t = xR /vo
the ball will travel a distance xR , in the same time to fall the height yo
t = sqrt (2yo/g)
combining the baove two eq. we get
xR = vo sqrt(2yo/g)
vo = xR /sqrt(2yo/g)
The measured values agree with the predicted values very closely, The deviation is less than 3% which is within the experimental limitations.
5. possible errors are
measuring distance with xR with meter scale, the exact place where the ball impacted cannot be measured very accurately due to the sand trough deformation.
height measurment - yo involves some error, accuracy is limited.
meausrment of vo from video frames.
friction on the tracks, due to friction the velocity of the ball on the track is not uniform and ball deacelrates. from the video frames it is assumed that the velocity is uniform.
trail yo vo - measured xR -measured xR - estimated vo - estimated 1 0.7 0.675 0.24 0.255 0.635 2 0.7 0.681 0.25 0.257 0.661 3 0.7 0.682 0.25 0.258 0.661Related Questions
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