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→Example Calculations
<math> F \approx 8.6N </math>
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{| class="wikitable"
|+ Calculating Spring Constant
| style="height:20px; width:200px; text-align:center;" |A car weighing 19000N rests on a single suspension spring. This causes the spring to shorten by 0.15m. Calculate the spring constant of this spring correct to two [[Significant Figure|significant figures]].
| style="height:20px; width:200px; text-align:center;" |A girl of weight 360N balances perfectly on a pogo stick. When she is on the stick it is 13cm shorter than when she steps off. Calculate the spring constant of this spring correct to two [[Significant Figure|significant figures]].
| style="height:20px; width:200px; text-align:center;" |A horse trailer of height 3.66m has 4 wheels, each with a suspension spring. When a horse which weighs 6200N gets on the trailer the height is reduced to 3.61m. Calculate the spring constant of each spring correct to two [[Significant Figure|significant figures]].
|-
| style="height:20px; width:200px; text-align:left;" |'''1. State the known quantities'''
Extension = 0.15m
Force = 19000
| style="height:20px; width:200px; text-align:left;" |'''1. State the known quantities'''
Extension = 13cm = 0.13m
Force = 360N
| style="height:20px; width:200px; text-align:left;" |'''1. State the known quantities'''
Original Length = 3.66m
Final Length = 3.61m
Extension = 0.05m
Force = 6200N
|-
| style="height:20px; width:200px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].'''
<math> F = kx </math>
<math> 19000 = k \times 0.15 </math>
| style="height:20px; width:200px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].'''
<math> F = kx </math>
<math> 360 = k \times 0.13 </math>
| style="height:20px; width:200px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].'''
<math> F = kx </math>
<math> 6200 = k \times 0.05 </math>
|-
| style="height:20px; width:200px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].'''
<math> k = \frac{19000}{0.15} </math>
<math> k = 126666.7N/m </math>
<math> k \approx 130000N/m </math>
| style="height:20px; width:200px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].'''
<math> k = \frac{360}{0.13} </math>
<math> k = 2769.23N/m </math>
<math> k \approx 2800N/m </math>
| style="height:20px; width:200px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].'''
<math> k = \frac{6200}{0.05} </math>
<math> k = 124000N/m </math>
<math> k \approx 120000N/m </math>
|}