EXERCISE 1 The Picket Fence experiment makes use of LoggerPro software to calcul

Question

EXERCISE 1 The Picket Fence experiment makes use of LoggerPro software to calculate velocities at regular time intervals as the striped plate passes through the photogate (Fig 3). The theoretical equation is where 0 (the fence is dropped from rest) and a g a. Write Equation 4 with y-mx +bunder it and circle matching factors as in the Example. Eq. 4) b. What is the experimental value of the acceleration of gravity? What is its percent error from the accepted value for Baltimore, 9.80 m/s?? c. Does the value of the y-intercept make sense? d. How well did the straight Trendline match the data? Picket Fence Drop 12 10 t y,-9.8224x + 0.0007 R2 0.9997 6 0 02 0.4 0.6 0.8 1 1.2 t (s) Figure 3 Graph of speed versus time as calculated by LoggerPro as a picket fence falls freely through a photogate.

Explanation / Answer

One question at a time please

Exercise 1)

(a) We are given a kinematic equation

v = vi + at

y = mx + b

where m is the slope of the graph between v and t and b is the y intercept

Therefore, Here m = a = g

y = v and x = t

(b) As per the given graph,

y = 9.8224x + 0.0007

Here a = g = 9.8224 m/s2

Therefore,

Percentage difference or error = (|9.8224 - 9.8| / 9.8) * 100 = 0.2285 %

(c) y-intercept is 0.0007 means at t = 0, v = 0.0007 which is not possible as the object started from rest and v must be zero at t = 0.

(d) Yes, the trendline matches the data.

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