Line of Best Fit
Class: ___________
Name:
1.
Date:
Base your answer(s) to the following
question(s) on the information in the data
table below. The data were obtained by
varying the force applied to a spring and
measuring the corresponding elongation
of the spring.
3.
Applied Elongation
Force
of Spring
(N)
(m)
0.0
4.0
8.0
0.0
0.16
0.27
12.0
0.42
20.0
0.71
16.0
0.54
Plot the data points for force versus
elongation.
2.
Draw the best t line.
page 1
Using the best- t line, determine the
spring constant of the spring. [Show all
calculations, including the equation and
substitution with units.]
4.
Base your answer(s) to the following
question(s) on the information and table
below.
5.
Plot the data points for period versus
pendulum length.
6.
Draw the best- t line or curve for the
data graphed.
In a laboratory exercise,
a student kept the mass and
amplitude of swing of a simple
pendulum constant. The length of
the pendulum was increased and
the period of the pendulum was
measured. The student recorded the
data in the table below.
Length
Period
(meters) (seconds)
0.05
0.30
0.40
1.30
0.20
0.60
0.80
1.00
0.90
1.60
1.80
2.00
Label each axis with the appropriate
physical quantity and unit. Mark an
appropriate scale on each axis.
Class: ___________
page 2
Line of Best Fit
7.
Using your graph, determine the
period of a pendulum whose length is
0.25 meter.
8.
Base your answer(s) to the following
question(s) on the information and data
table below.
A student performed an
experiment in which the weight
attached to a suspended spring was
varied and the resulting total length
of the spring measured. The data
for the experiment are in the table
below.
Attached Weight vs.
Total Spring Length
Attached Weight
(N)
Total Spring
Length (m)
1.96
0.42
3.92
0.59
0.98
2.94
4.91
0.37
0.51
0.64
Plot the data points for the attached
weight versus total spring length.
Class: ___________
page 3
Line of Best Fit
9.
Draw the line or curve of best t.
11.
Base your answer(s) to the following
question(s) on the information below.
A runner accelerates uniformly
from rest to a speed of 8.00 meters per
second. The kinetic energy of the runner
was determined at 2.00-meter-per-second
intervals and recorded in the data table
below.
Data Table
Speed (m/s)
Kinetic Energy (J)
2.00
140.
0.00
4.00
6.00
8.00
0.00
560.
1260
2240
Draw the line or curve of best t.
10.
12.
Using your graph, determine the length
of the spring before any weight was
attached.
Base your answer(s) to the following
question(s) on the information and data
table.
In an experiment, a student
measured the length and period of
a simple pendulum. The data table
lists the length (`) of the pendulum
in meters and the square of the
period (T2 ) of the pendulum in
seconds2 .
Length (`) Square of Period (T2 )
(meters)
(seconds2 )
0.100
0.410
0.500
1.91
0.300
0.700
0.900
1.18
2.87
3.60
Plot the data points for the square of
period versus length.
Class: ___________
page 4
Line of Best Fit
13.
Draw the best- t straight line.
14.
Using your graph, determine the time
in seconds it would take this pendulum
to make one complete swing if it were
0.200 meter long.
Class: ___________
15.
page 5
The period of a pendulum is related to its
4 2
length by the formula: T 2 =
`
g
where g represents the acceleration due
to gravity. Explain how the graph you
have drawn could be used to calculate
the value of g. [You do not need to
perform any actual calculations.]
Line of Best Fit
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Class: ___________
1.
Answer:
Line of Best Fit
06/20/2013
5.
Answer:
2.
Answer:
3.
Answer:
6.
Answer:
29 N/m
4.
Answer:
7.
Answer:
8.
Answer:
1.0 s
0.3 grid space.
Teacher's Key
9.
Answer:
15.
Answer:
Page 2
Find the coordinates of a point on
the best- t line and substitute into
4 2`
T2 =
and solve for g.
g
or
Find the slope and divide it into 4 2 .
No credit for a response that refers
only to the slope.
10.
Answer:
11.
Answer:
12.
Answer:
0.30 m 0.01 m or an answer that is
consistent with the student's graph.
Drawing the line or curve of best t
Allow 1 credit for plotting all points
accurately ( :5 grid spaces).
13.
Answer:
14.
Answer:
Allow 1 credit for 0.89 ( :1) seconds,
or an answer consistent with the
student's graph.