The following two plots are an example of the kind of Force vs. Time and Positio
ID: 1793442 • Letter: T
Question
The following two plots are an example of the kind of Force vs. Time and Position vs Time data you might take in lab for a cart that is accelerating. ( note: the first two graphs) There is another way to visualize this data that will be useful for calculating the work the force does: plotting Force vs. Position. Each point on the Force vs. Position graph is determined by one value from the Force vs. Time graph and one value from the Position vs. Time graph. Try to associate the lettered points below with points on each of the above graphs. (note: the force vs position graph) On the Force vs. Position graph at left... Which red point corresponds to time t = 1 seconds? Which red point corresponds to time t = 2 seconds? Which red point corresponds to time t = 3 seconds? and how much work is done on the cart... in the first 1 second of motion? in the first 2 seconds of motion? in the first 3 seconds of motion? in the first 0.2 m of travel? in the first 0.4 m of travel? in the first 0.6 m of travel?
Force reconded by sensor on cart Position of can Zor Time (s) Time is Force vs. Position of can 0.151. Position (mm) n the fest 1 second of moton?Explanation / Answer
t = 1 s from the position-time graph the position is less than 0.1 m so from the force-time graph
t =1 s A
t = 2 s from the position-time graph the position is 0.2 m so from the force-time graph for x=0.2 m
t =2 s C
t = 3 s from the position-time graph the position is between 0.4 and 0.5 m so from the force-time graph
t= 3s H
Work done Force X displacement
first second
W = 0.2 X 0.05 = 0.01 J
first two seconds
W = 0.2 X 0.2 = 0.04 J
first 3 seconds
W = 0.2 X 0.04 = 0.08 J
Work done in 0.2 m
W = Fx
W = 0.2 X 0.2 = 0.04 J
Work done in 0.4 m
W = 0.2 X 0.4 = 0.08 J
Work done in 0.6 m
W = 0.2 X 0.6 = 0.12 J
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