Required practical

Investigate the relationship between force and extension for a spring

There are different ways to investigate the relationship between force and extension for a spring. In this practical activity it is important to:

  • measure and record length accurately
  • measure and observe the effect of force on the extension of springs
  • collect the data required to plot a force-extension graph

Aim of the experiment

To investigate the relationship between force and extension for a spring.

Method

A clamp stand holds both a spring and a ruler. The spring has a weight hooked onto the bottom. The clamp is attached to a bench.

  1. Secure a clamp stand to the bench using a G-clamp or a large mass on the base.
  2. Use bosses to attach two clamps to the clamp stand.
  3. Attach the spring to the top clamp, and a ruler to the bottom clamp.
  4. Adjust the ruler so that it is vertical, and with its zero level with the top of the spring.
  5. Measure and record the unloaded length of the spring.
  6. Hang a 100 g slotted mass carrier - weight 0.98 newtons (N) - from the spring. Measure and record the new length of the spring.
  7. Add a 100 g slotted mass to the carrier. Measure and record the new length of the spring.
  8. Repeat step 7 until you have added a total of 1,000 g.

Results

Record your results in a suitable table.

Force (N)Length (mm)Extension (mm)
0 (unloaded)220
0.985230
1.968361
.........

Analysis

Force extension graph. Linear section drawn from origin to occupy two-thirds of graph area. Non linear section has an increasing gradient.

  1. For each result, calculate the extension: extension = length - unloaded length
  2. Plot a line graph with extension on the vertical axis, and force on the horizontal axis. Draw a suitable line or curve of best fit.
  3. Identify the range of force over which the extension of the spring is directly proportional to the weight hanging from it.

Evaluation

It is important to keep the ruler vertical. Suggest another way to improve the accuracy of the length measurements.

Hazards and control measures

HazardConsequenceControl measures
Equipment falling off tableHeavy objects falling on feet - bruise/fractureUse a G-clamp to secure the stand.
Sharp end of the spring recoiling if the spring breaksDamage to eyes, cuts to skinWear eye protection. Support and gently lower masses whilst loading the spring.
Masses falling to floor if the spring failsHeavy objects falling on feet - bruise/fractureGently lower load onto spring and step back.
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