Data Analysis with Spreadsheets
Questions
1)
Possible systematic (hypothetical) errors in the measured values of v and h include the
difference in uncertainty ranges reached at higher velocities and thus larger heights. The
data obtained from this experim
Collisions & Conservation of Momentum
PreLab Exercises
1. Using laws of conservation of energy and momentum, solve for the ratio of final
velocities.
Work: ! = ! , Law of Conservation of Momentum
! ! + ! ! = ! ! + ! ! , Law of Conservation of Momentum
whe
Introduction to Measurements
1. Measure the diameter of a lacrosse ball with a ruler.
6.4 cm .1 cm
2. Measure the diameter of a lacrosse ball using a Vernier caliper. Compare this
measurement to your result from Exercise 1.
6.335 cm .005 cm
When measuring
Distraction and Reaction Time
PreLab Exercises
!
1. Work: = ! + ! + ! ! , Kinematic equation is used.
!
= ! ! , where = , yi=0 , Vi=0 , and y(t)=-d
!
Answer:
!
=
Explanation: Using the kinematic equation, the expression for t in terms of y can be found.
Engineering an Arm
PreLab Exercises
1. The force (! ) that the wire exerts to keep the rod horizontal is calculated by doing the
following:
Work:
where, ! = !
and since it stays horizontal, rotational equilibrium is achieved:
! = ! for =
! = 1 where 1 i
Whats Inside?
PreLab Exercises
1. Obtain an expression for the dimensionless quantity C. What observable quantities
are eliminated when the equation is written this way? What might be the benefit of
writing the equation this way?
Work: = ( ! )
=
So,
! !
Projectile Motion: Hitting a Target
PreLab Exercises
1. If ten shots are fired, while assuming that the spread in distances (the standard deviation)
of shots fired from a projectile launcher is equal to the radius of a targeted basket, then it
is expected
Adam
Trials
AVG
Ibrahim
Trials
AVG
Distance
Distance
Distraction(cm)
Time (s)
ND -D Time (s)
No Disraction (cm) Time (s)
1
33.0 0.2593805842
0.0381800788
24.0 0.22120051
2
14.0 0.1689446767
0.0379694496
21.0 0.20691413
3
35.0 0.2671249884
0.0219912085
41.
#7-8
v (counts/minute)
v (counts/second)
Observed Avg Count Rate (counts/seconds)
Standard Deviation (counts/second) v = n/t
50
104.7
10.06 50 = 104.7/t
t = 2.1 s
v (counts/second)
Observed Avg Count Rate (counts/seconds)
Standard Deviation (counts/second
The Nature of Statistical Processes
Table 1 Table of Average Counts & Standard Deviation
Average Counts
Standard Deviation
Trial (Counts Per Interval) (Counts Per Interval)
1
0.9693
0.9937
2
1.892
1.39
3
2.883
1.693
4
3.7
When Approximations Fail
PreLab Exercises
A mass of 0.250 0.001 kg is connected to the end of a light chord to make a pendulum.
The length between the pendulums axis of rotation and the mass is measured to be 0.800
0.005 m.
1. Calculate the expected freq
Is the unknown chime ball more solid-like or hollow-like? Justify your conclusion.
By comparing the C quantities for each of the balls, after conducting the experiment. It
can be concluded that the unknown chime ball is just a bit more hollow-like. The
qu