19,879
edits
Changes
no edit summary
: <math>k</math> = [[Spring Constant]] (stiffness of the elastic object)
: <math>x</math> = [[Extension]] of the [[object]]
===Example Calculations===
{| class="wikitable"
|+ Calculating Force
| style="height:20px; width:200px; text-align:center;" |A bow with a spring constant of 400N/m is stretched 0.5m. Calculate the force applied in the bow.
| style="height:20px; width:200px; text-align:center;" |A bungee cord with a spring constant of 45N/m stretches by 30m. Calculate the [[force]] applied to the cord.
| style="height:20px; width:200px; text-align:center;" |A slinky spring of length 10cm and spring constant 0.8N/m is stretched to a length of 10.1m. Calculate the [[force]] needed to stretch the slinky.
|-
| style="height:20px; width:200px; text-align:left;" |'''1. State the known quantities'''
Extension = 0.5m
Spring Constant = 400N/m
| style="height:20px; width:200px; text-align:left;" |'''1. State the known quantities'''
Extension = 30m
Spring Constant = 45N/m
| style="height:20px; width:200px; text-align:left;" |'''1. State the known quantities'''
Original Length = 10cm = 0.1m
New Length = 10.1m
Extension = 10.1 - 0.1 = 10m
Spring Constant = 0.8N/m
|-
| style="height:20px; width:200px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].'''
<math> F = kx </math>
<math> F = 400 \times 0.5 </math>
<math> F = 200N </math>
| style="height:20px; width:200px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].'''
<math> F = kx </math>
<math> F = 45 \times 30 </math>
<math> F = 1350N </math>
| style="height:20px; width:200px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].'''
<math> F = kx </math>
<math> F = 0.8 \times 10 </math>
<math> F = 8N </math>
|}
==Key Stage 4==
: <math>k</math> = [[Spring Constant]] (stiffness of the elastic object)
: <math>x</math> = [[Extension]] of the [[object]]
===Example Calculations===
{| class="wikitable"
|+ Calculating Force
| style="height:20px; width:200px; text-align:center;" |A bow with a spring constant of 390N/m is stretched 0.52m. Calculate the force applied in the bow correct to two [[Significant Figures|significant figures]].
| style="height:20px; width:200px; text-align:center;" |A bungee cord with a spring constant of 45N/m stretches by 29m. Calculate the [[force]] applied to the cord correct to two [[Significant Figures|significant figures]].
| style="height:20px; width:200px; text-align:center;" |A slinky spring of length 15cm and spring constant 0.87N/m is stretched to a length of 10m. Calculate the [[force]] needed to stretch the slinky correct to two [[Significant Figures|significant figures]].
|-
| style="height:20px; width:200px; text-align:left;" |'''1. State the known quantities'''
Extension = 0.52m
Spring Constant = 390N/m
| style="height:20px; width:200px; text-align:left;" |'''1. State the known quantities'''
Extension = 29m
Spring Constant = 45N/m
| style="height:20px; width:200px; text-align:left;" |'''1. State the known quantities'''
Original Length = 15cm = 0.15m
New Length = 10m
Extension = 10 - 0.15 = 9.85m
Spring Constant = 0.87N/m
|-
| style="height:20px; width:200px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].'''
<math> F = kx </math>
<math> F = 390 \times 0.52 </math>
<math> F = 202.8N </math>
<math> F \approx 200N </math>
| style="height:20px; width:200px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].'''
<math> F = kx </math>
<math> F = 45 \times 29 </math>
<math> F = 1305N </math>
<math> F \approx 1300N </math>
| style="height:20px; width:200px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].'''
<math> F = kx </math>
<math> F = 0.87 \times 9.85 </math>
<math> F = 8.5695N </math>
<math> F /approx 8.6N </math>
|}