Falling Bodies (Ball and Motion Detector) Set up a motion detector on the floor
ID: 1481575 • Letter: F
Question
Falling Bodies (Ball and Motion Detector) Set up a motion detector on the floor such that you can throw a ball vertically above the motion detector(motion detectors cages please!). Hold the ball on the side (two hands) so the motion detector picks up the bottom of the ball instead of you. Throw the ball above the motion detector and record a graph of position and velocity versus time. Be sureto catch the ball before it hits the motion detector please. Warning: For this to work properly, the ball must be “in view” of the motion detector at times during themotion. Using the X=? tool in Logger Pro, find the point where the ball achieved maximum height and record thislocation in the initial values below. You will need to find the time, initial height and velocity at this point. Measure the position and velocity at a point right before the ball was caught (the velocity graph should belinear up to this point). Record the final time, final position and final velocity. The final position and finalvelocity must be at the same time.
Mass of Ball (kg):________.5947_________________________Enter the initial values below:
Initial Time (s):___1.35__________ Initial Height (m):__1.681______________ Initial Velocity (m/s):_________-0.203______
Enter the final values below:
Final Time (s):_______1.55______ Final Height (m):______.902__________ Final Velocity (m/s):__0.032_____________
QUESTION
Use energy to show whether or not the measured data agrees with the Law of Conservation of Energy.Explain.
Explanation / Answer
total initial energy = KE + PE = 0.5mv^2 + mgH
=0.5*5947 * (0.203)^2 + 5947 * 9.81 * 1.681
=98192.1926315 J
final energy
= KE + PE
= 0.5*5947* (0.032^2) + 5947 * 9.81 * 0.902
=52625.788004 J
clearly energy is not conserved as mechanical energy initially = finally
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