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

Hooke's Law

Extracts from this document...

Introduction

Hooke’s law: determining k for a spring

Aim:

To investigate Hooke’s law for simple springs of rubber

Hypothesis:

The relationship between a load force and a light spring (F=k.x) was first determined by Robert Hooke in the 17th century.Where F is the force applied to the spring, k is the spring constant, and  x is the extension of the spring. Hooke’s law states that when an elastic material is subjected to a force, its extension (x) is proportional to the applied force. The value of k is constant for a particular spring.

Variables:

Independent

Controlled

Dependent

Different type of spring used (varied by using different springs)

Weight of the mass attached (controlled by using only one mass)

Spring constant

Extension by the spring (measure by ruler)

Materials:

Item

Quantity

Accuracy

Spring with different stiffness

5

-

Retort stand and clamp

1

-

Meter rule or other measuring devices

1

±0.005 m

Mass hanger

1

-

50 gr masses

10

Δm ±0.05 gr

balance

1

-

Methods:

  1. First weigh and record the masses of each mass hanger and the masses
  2. Record these in a suitable for reference during the activity
...read more.

Middle

0.144

3

0.15

0.145

4

0.20

0.184

5

0.25

0.240

6

0.30

0.291

7

0.35

0.350

8

0.40

0.402

9

0.45

0.469

10

0.50

0.524

Table 3.6 Data of spring 5 extension

Trial (n)

Mass

m (kg)

Suspended Length

x2 (m)

Δx2=±0.0005m

1

0.05

0.179

2

0.10

0.196

3

0.15

0.221

4

0.20

0.246

5

0.25

0.274

6

0.30

0.301

7

0.35

0.328

8

0.40

0.355

9

0.45

0.381

10

0.50

0.412

Data processing:

k= (Δm/Δx) x g

Table 4.1 Data of spring 1 extension

Trial

(n)

Mass

m (kg)

Pulling force

F (N)

Suspended Length

x2 (m)

Δx2=±0.0005m

1

0.05

0.49

0.140

2

0.10

0.98

0.141

3

0.15

1.47

0.145

4

0.20

1.96

0.177

5

0.25

2.45

0.235

6

0.30

2.94

0.289

7

0.35

3.43

0.346

8

0.40

3.92

0.401

9

0.45

4.41

0.465

10

0.50

4.90

0.533

image00.png

Spring’s constant:

image01.png

Table4.2 Data of spring 2 extension

Trial

(n)

Mass

m (kg)

Pulling force

F (N)

Suspended Length

x2 (m)

Δx2=±0.0005m

1

0.05

0.49

0.158

2

0.10

0.98

0.158

3

0.15

1.47

0.172

4

0.20

1.96

0.236

5

0.25

2.45

0.292

6

0.30

2.94

0.367

7

0.35

3.43

0.426

8

0.40

3.92

0.487

9

0.45

4.41

0.558

10

0.50

4.90

0.635

image04.png

Spring’s constant:

image05.png

Table4.

...read more.

Conclusion

th spring that is very stiff (18.679) and on the other hand in 3rd spring that is the least stiff (3.584).

        The difficulties encountered in conducting this experiment is when measuring the extension of the spring, as the spring tend to swings when the mass is attached and this can affect the result of the experiment. In addition, the extension of the spring occasionally hits the floor when the number of mass is increased and this affected the results. This difficulty has been solved by using a retort stand and clamp, which give an increase the stretch of the spring but still easily adjusted.

        In conclusion, it could be said that the experiment is successful in verifying value of the spring constant. Both the Hooke's law and the graph give similar result, thus proving the hypothesis. My suggestion to improve the experiment is to carefully measure the extension of the spring despite the variation of the spring. This is best dealt with by carefully observed the spring until it places perfectly so that there will be no further movements that may lead to the mistake in calculating the exact extension of the spring.

...read more.

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

See related essaysSee related essays

Related International Baccalaureate Physics essays

  1. This is a practical to investigate the relationship between time period for oscillations and ...

    bars which range from � 0.02 to � 0.04 appear to be realistic, not too big. Causes of error > The first and foremost is human error. Noting exactly when 10 oscillations complete is hard. This along with the reaction time in starting and stopping the stopwatch causes inaccuracies in the results.

  2. Finding the Spring Constant

    What we do next is get ?Period. So Basically what we do here is that we add all the timing uncertainties. ?Equipment + ?Reaction + ?Average uncertainty So for instance, again we use the first mass (0.100 kg) and the time taken for that as our example.

  1. Hook's law. Aim of the experiment: To understand the Hookes Law by calculating the ...

    * Human reaction time * Human parallax error * Errors occurred in rounding data * Elasticity of the of the spring * Ignoring the weight of the spring Increased number of trials would lessen the error rate.

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

    21.0 21.0 21.0 300 22.9 22.9 22.9 350 24.8 24.8 24.8 400 26.7 26.7 26.7 450 28.5 28.5 28.5 500 30.4 30.4 30.4 550 32.3 32.3 32.3 600 34.1 34.1 34.1 The uncertainty in the Masses Measurement was + 1 g The uncertainty in the Ruler Measurement was + 0.05 cm b)

  1. Centripetal Force

    force: Standard deviation: So, the centripetal force of mass 50 g is: Force of gravity with mass 50 g: Table 4.6 Comparison of centripetal force and force of gravity Mass (kg) Centripetal Force Fc (N) Gravitational Force Fg (N) ?F Percentage error 10 0.4127976�0.0359655 0.098 0.314798 76.259552 20 0.4267571�0.0730388 0.196

  2. In this extended essay, I will be investigating projectile motion via studying the movement ...

    The Diagram 3 and Diagram 4 illustrate the experimental setup used initially and finally: Diagram2: Experiment apparatus Diagram 3: The experimental setup initially Diagram 3: The experimental setup finally Experimental Methods Procedure - Determining the spring constant of spring by putting different weight on it 1.

  1. Hooke's Law Intro and data processing

    Therefore, the spring constant, k, is equal to (0.291 � 0.007) N/cm. Sample Calculations: Slope Uncertainty: = (Maximum Slope - Minimum Slope) / 2 = (0.3085 - 0.2950) / 2 = 0.0135 / 2 = 0.007 N/cm CONCLUSION: As seen within the data collected and processed above, as the

  2. HL Physics Revision Notes

    Electrons orbit in a probability region or electron cloud. The solution to the equation predicts exactly the line spectra of the hydrogen atom. Outline the Heisenberg uncertainty principle with regard to position?momentum and time?energy. P108 Students should be aware that the conjugate quantities, position?momentum and time?energy, cannot be known precisely at the same time.

  • Over 160,000 pieces
    of student written work
  • Annotated by
    experienced teachers
  • Ideas and feedback to
    improve your own work