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**coffee filter has mass 0.01908 kg  total stack mass m = 12 × 0.01908 = 0.22896 kg AveVelInitial = y3 − y1/t3-t1 = 1.10446 m/s t = 0 at the second observation of our collected data  distance fallen here is 0 m  initial velocity of 1.10446 m/s.** a) With these assumptions, construct a Free Body Diagram (FBD) and indicate all the forces acting on the mass of the stacked coffee filters. b) Using Newton’ s Second Law of Motion which says that the change in momentum is equal to the sum of all the external forces acting on the mass of the stacked coffee filters, construct amathematical model for determining the velocity, v(t) = y'(t), of this object. Here y(t) is the distance the coffee filters have fallen from rest in meters at time t in seconds

**coffee filter has mass 0.01908 kg  total stack mass m = 12 × 0.01908 = 0.22896 kg AveVelInitial = y3 − y1/t3-t1 = 1.10446 m/s t = 0 at the second observation of our collected data  distance fallen here is 0 m  initial velocity of 1.10446 m/s.** a) With these assumptions, construct a Free Body Diagram (FBD) and indicate all the forces acting on the mass of the stacked coffee filters. b) Using Newton’ s Second Law of Motion which says that the change in momentum is equal to the sum of all the external forces acting on the mass of the stacked coffee filters, construct amathematical model for determining the velocity, v(t) = y'(t), of this object. Here y(t) is the distance the coffee filters have fallen from rest in meters at time t in seconds

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**coffee filter has mass 0.01908 kg

 total stack mass m = 12 × 0.01908 = 0.22896 kg

AveVelInitial = y3 − y1/t3-t1 = 1.10446 m/s

t = 0 at the second observation of our collected data 

distance fallen here is 0 m

 initial velocity of 1.10446 m/s.**

a) With these assumptions, construct a Free Body Diagram (FBD) and indicate all the forces acting on the mass of the stacked coffee filters.

b) Using Newton’ s Second Law of Motion which says that the change in momentum is equal to the sum of all the external forces acting on the mass of the stacked coffee filters, construct amathematical model for determining the velocity, v(t) = y'(t), of this object. Here y(t) is the
distance the coffee filters have fallen from rest in meters at time t in seconds

Time (s) Distance (m) Time (s) Distance (m) 0.00 0.0000 0.22 0.3619 0.02 0.0228 0.24 0.4050 0.04 0.0478 0.26 0.4500 0.06 0.0730 0.28 0.4931 0.08 0.1054 0.30 0.5440 0.10 0.1369 0.32 0.5927 0.12 0.1710 0.34 0.6429 0.14 0.2063 0.36 0.6937 0.16 0.2426 0.38 0.7458 0.18 0.2810 0.40 0.7991 0.20 0.3197 0.42 0.8556 Table 1. Data on the time and position of a stack of coffee filters as it falls to the ground. We measure the distance falling positively downward and say y(t) is the distance fallen in meters at time t in seconds, i.e. t is time in seconds from release and y(t). is distance in meters fallen from release.
Transcribed Image Text:Time (s) Distance (m) Time (s) Distance (m) 0.00 0.0000 0.22 0.3619 0.02 0.0228 0.24 0.4050 0.04 0.0478 0.26 0.4500 0.06 0.0730 0.28 0.4931 0.08 0.1054 0.30 0.5440 0.10 0.1369 0.32 0.5927 0.12 0.1710 0.34 0.6429 0.14 0.2063 0.36 0.6937 0.16 0.2426 0.38 0.7458 0.18 0.2810 0.40 0.7991 0.20 0.3197 0.42 0.8556 Table 1. Data on the time and position of a stack of coffee filters as it falls to the ground. We measure the distance falling positively downward and say y(t) is the distance fallen in meters at time t in seconds, i.e. t is time in seconds from release and y(t). is distance in meters fallen from release.
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