• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month

# Hooke's Law Intro and data processing

Extracts from this document...

Introduction

Natalie Satterfield

February 14, 2012

Hooke's Law Lab

Introduction

In this lab, the spring constant within a specific spring will be calculated using a ruler and force sensor to measure the length of a spring and the force exerted by the spring at that length. According to Hooke's Law, we know that the extension of a spring (x) is proportional to the force it exerts by the equation:

F = kx

Various forces will be measured according to their corresponding lengths and the data will be graphed on a force vs. extension graph to determine the spring constant for the particular spring used. The slope of the force vs. extension graph is equal to the spring constant, k. y = mx + b

F = kx

m = k

b = 0 (at 0 extension, force is 0)

DATA COLLECTION AND PROCESSING

Raw Data:

Middle

7.85

1.210

1.259

1.300

3.85

8.85

1.600

1.564

1.533

3.85

9.85

1.769

1.842

1.822

Processed Data:

 Extension of the Spring and the Average Force Exerted Extensionx (cm)∆x = ± 0.1 cm Average ForceF (N)∆F = ± 0.001 N Average Force UncertaintiesF (N) 0.0 0.000 0.001 1.0 0.480 0.02 2.0 0.709 0.02 3.0 0.989 0.004 4.0 1.256 0.05 5.0 1.566 0.03 6.0 1.811 0.04

Sample Calculations:

Extension:

= (Length After Extension) - (Length Before Extension)

= 4.85 - 3.85

= 1.0 cm

Extension Uncertainty:

= Length After Extension Uncertainty + Length Before Extension Uncertainty

= 0.05 + 0.05

= 0.1 cm

Average Force:

= (Trial 1 Force + Trial 2 Force + Trial 3 Force) / 3

= (0.490 + 0.458 + 0.491) / 3

= 0.480 N

Conclusion

Improvements:

Ultimately, to improve the weaknesses, limitations, and possible errors listed above a few courses of action would have had to be taken.

First, zeroing the force sensor and ensuring that the force sensor was zeroed before collecting data for all new spring lengths could have gotten rid of the systematic error present within the results and would have allowed the linear regression line to pass through the origin as expected.

Similarly, setting up the equipment so that the spring had to be stretched out on a flat surface, and not while in the air, could have allowed the spring to be held more steadily while taking measurements. Also, clamping the ruler down onto a flat surface instead of, also, holding it up in the air by hand could have, again, lowered the random errors that occurred because of the weaknesses collecting the data for the extension of the spring.

Ultimately, making these improvements could have lowered the random and systematic errors that existed, thus making the data more accurate and precise. This, in turn, could have reduced the anomalous data and created results that more thoroughly portrayed what was expected.

This student written piece of work is one of many that can be found in our International Baccalaureate Physics section.

## Found what you're looking for?

• Start learning 29% faster today
• 150,000+ documents available
• Just £6.99 a month

Not the one? Search for your essay title...
• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month

# Related International Baccalaureate Physics essays

1. ## Hookes Law- to determine the spring constant of a metal spring

Data Processing and Presentation: 7. CONCLUSIONS The results support my hypothesis that states that the spring with the least spring constant will extend most. And that's shown in the graphs, the most extended spring, which is spring A has the smallest slope (i.e.

2. ## Finding the Spring Constant

taking absolute values is because while I am at the graphing phase, I cannot use percentage values to graph uncertainties thus I will need the absolute values to graph uncertainties. Table 3- Average times for each mass Mass, m/kg Time, T2/s2 0.100 � 0.004 0.139 � 0.054 0.200� 0.008 0.328

1. ## Centripetal Force

Period T (s) f = 1/T (Hz) f2 Fc (N) 8.00 0.800 1.250000 1.562500 0.345702 -0.067096 0.0045018 7.47 0.747 1.338688 1.792086 0.396498 -0.016300 0.0002657 7.49 0.749 1.335113 1.782528 0.394383 -0.018415 0.0003391 7.09 0.709 1.410437 1.989333 0.440139 0.027341 0.0007476 7.16 0.716 1.396648 1.950626 0.431575 0.018777 0.0003526 7.25 0.725 1.379310 1.902497 0.420926

2. ## Hooke's Law

0.346 8 0.40 3.92 0.401 9 0.45 4.41 0.465 10 0.50 4.90 0.533 Spring's constant: Table4.2 Data of spring 2 extension Trial (n)

1. ## The weakest force of the universe

nucleons is consistent with a strong force coupling constant of about 14: Analysis of the coupling constant with quantum chromodynamics gives an expression for the diminishing coupling constant: For the second force, the electromagnetic force causes electric and magnetic effects. It is long-ranged, but much weaker than the strong force.

2. ## HL Physics Revision Notes

These electrons are stimulated to fall down and emit light of a particular frequency Or: Lower energy level electrons are pumped up to higher energy levels and stimulated to fall to energy levels corresponding to specific frequencies, producing laser light. • Over 160,000 pieces
of student written work
• Annotated by
experienced teachers
• Ideas and feedback to 