• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month
Page
1. 1
1
2. 2
2
3. 3
3
4. 4
4
5. 5
5
6. 6
6
7. 7
7
8. 8
8
9. 9
9

# 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 constantExtension 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

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) Massm (kg) Suspended Lengthx2 (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) Massm (kg) Pulling forceF (N) Suspended Lengthx2 (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

Spring’s constant:

Table4.2 Data of spring 2 extension

 Trial(n) Massm (kg) Pulling forceF (N) Suspended Lengthx2 (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

Spring’s constant:

Table4.

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.

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. ## Aim: To prove the parallelogram law of vector addition

It could also be caused by existence of friction between the string and the pulley wheel which is not taken into account here. Errors could also be caused when we are using a protractor to measure the angle between the two forces.

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

Evaluation: From the graph we can see that the results are fairly accurate as the line of best fit passes through all the points including the origin and hence there are no anomalous points. A considerable amount of error is expected to occur during the experiment and therefore the error

1. ## Suspension Bridges. this extended essay is an investigation to study the variation in tension ...

Using the formula for Tension as derived in the last section, I have also calculated the tension T1 existing in the left part of the string. Sample Calculation of Tension T1 When the length of the string = 140 cm and the point of application of force 'x' cm =

2. ## Centripetal Force

0.647 1.545595 2.388864 0.528535 0.057176 0.0032691 6.60 0.660 1.515152 2.295684 0.507919 0.036560 0.0013366 5.91 0.591 1.692047 2.863024 0.633442 0.162083 0.0262710 7.72 0.772 1.295337 1.677897 0.371234 -0.100125 0.0100250 ?Fc= 4.713588 0.0520262 Average centripetal force: Standard deviation: So, the centripetal force of mass 40 g is: Force of gravity with mass 40

1. ## Hooke's Law Intro and data processing

some points' error bars do not touch the line of best fit, the maximum line, or the minimum line. This can all be due to random errors within the experiment. While measuring the length of the stretched spring, it was very hard to obtain an exact value of the full extension of the spring.

2. ## Finding the Spring Constant

� 2 =0.090 After that, we add this averaging uncertainty to 0.21 (which is basically the summation of our equipment and reaction time error) Example 3: Mass of 100g is 0.1kg as we divide by 1000. However to calculate the absolute uncertainty of mass in kg, we simply see how high the uncertainty was for the masses.

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

Place it behind the muzzle of simple spring gun. Make sure the meter rule is in contact with the table. 4. Attach a 25cm-rule onto the upper wooden board of simple spring gun using cello tapes. 5. Make sure the simple spring is parallel to the surface of the table using a spirit level.

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