Grades 912 Performance Task
Contributed by: New York State Education Department (NYSED)
Developed through University of Buffalo and NORC (1991)
LABORATORY TEST #1
Hooke's Law  Part A
Introduction:
This laboratory test presents a problem and lists
materials available to you. Your task is to design a strategy
for solving the problem. Please record all your answers on these
sheets. You will have 30 minutes to plan and design an experiment
to solve the problem.
Problem:
You will remember that Hooke's Law describes the relationship
between the force applied to a spring and its elongation
(stretch). That is, if a force stretches a spring, the elongation
is directly proportional to the force applied.
F = kx
Where: F = force in newtons
k = spring constant in newtons/meter
x = elongation in meters
Imagine that you work for a spring manufacturer and your
job is to determine whether Sample Spring A will elongate
to exactly 0.3 meters when a force of 15 newtons is applied.
Your job is to conduct an experiment which will determine
whether Sample Spring A meets this specification.

a) Under the heading PROCEDURE list in order
the steps of the procedure you will use to solve the problem.
You may include a diagram to help illustrate your plans for the
experiment. Include any safety procedures you would follow.
b) Construct a DATA TABLE or indicate any
other method that you could use to record the observations and
results that will be obtained.
c) At the end of the 30 minutes, your answer sheet
for Part A will be collected.
PLEASE NOTE: In Part A, you are NOT to proceed
with any part of the actual experiment. You are just to plan and
organize a way to investigate the problem.
Materials:
EXPERIMENT REPORT #1  Part A
Organize your experiment under the following headings:
PROCEDURE and DATA TABLE
Use the front and back of these sheets if necessary
PROCEDURE
EXPERIMENT REPORT #1  Part A
DATA TABLE (For results and observations)
Hooke's Law  Part B
Introduction
You will have 50 minutes to complete this part. You
have been provided with a detailed Procedure (see next page) which
you are to follow. Record your work for Part B on the answer sheet
under the appropriate headings.
Problem:
You will remember that Hooke's Law describes the relationship
between the force applied to a spring and its elongation (stretch).
That is, if a force stretches a spring, the elongation is
directly proportional to the force applied.
F = kx
Where: F = force in newtons
k = spring constant in newtons/meter
x = elongation in meters
Imagine that you work for a spring manufacturer and your
job is to determine whether Sample Spring A will elongate
to exactly 0.3 meters when a force of 15 newtons is applied.
Your job is to conduct an experiment which will determine
whether Sample Spring A meets this specification.

a) Perform the experiment by following the steps outlined
in the procedure.
b) Under the heading RESULTS/OBSERVATIONS record
the data collected in the experiment. Use statements, descriptive
paragraphs, and tables of data where appropriate.
c) Under the heading CALCULATIONS show all
equations and calculations used.
d) Construct a GRAPH that shows the relationship
between the variables measured.
e)Under the heading CONCLUSION give an interpretation
of your results.
f) At the end of the 50 minutes, your answer sheets
will be collected.
Materials:
 a set of masses which totals 1 kg
 Sample Spring A
 graph paper
 Hooke's Law Apparatus
 Cclamp
 calculator
EXPERIMENT REPORT #1  Part B
Complete the Procedure as given on these sheets.
Record your Results in the table provided.
Procedure:
 Check the attachment of Sample Spring A and adjust the pointer
to zero on the centimeter scale.
 Attach increasing amounts of mass. Record both the total mass
added and the total elongation of the spring. Use the Data Table
provided.
 Calculate the force of gravity acting on each mass in newtons
(W = mg, g = 9.8 m/sec squared)
 Plot a graph of force against elongation, where the scale
of values for force include 0 to 20 newtons and values for meters
include 0 to 0.4 meters.
 Use the graph to determine the force constant of the spring.
Show all calculations. The slope is:
 Determine whether spring A can stretch to exactly 0.3 meters
with a force of 15 newtons applied, by extending the graph through
to force = 15 newtons.
 Report your analysis of this problem under Conclusion.
Observations/Results:
Trial #1

Mass (kg)
[1000g = 1kg]

Force (N)
W = mg

Elongation with no load (m)

Elongation with load
(m)

1



0


2



0


3



0


4



0


5



0


6



0


7



0


8



0


Record your Calculations, Graph, and Conclusion
on these sheets.
Calculations:
Conclusion:
Based on a graphical analysis of the data you
collected in this experiment, discuss your conclusion as to
whether spring A could stretch to exactly 0.3 meters if a force
of 15 newtons is applied. Be certain to explain how you used
your data to arrive at this conclusion.
