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→Example Calculations
===Example Calculations===
====Finding the Force given Inertial Mass and Acceleration====
{| class="wikitable"
| style="height:20px; width:300px; text-align:center;" |A 1.23Mg [[object]] [[accelerate]]s at a rate of 5.3x10<sup>-2</sup>m/s/s. Calculate the [[Resultant Force|resultant force]] acting on the [[object]] correct to two [[Significant Figures|significant figures]].
|}
====Finding the Acceleration given Inertial Mass and Force====
{| class="wikitable"
| style="height:20px; width:300px; text-align:center;" |A 9.2g [[object]] is subjected to a [[Resultant Force|resultant force]] of 3.7kN. Calculate the [[acceleration]] of the [[object]] correct to two [[Significant Figures|significant figures]].
<math>a \approx 3.0m/s/s</math>
|}
====Finding the Inertial Mass given the Force and Acceleration====
{| class="wikitable"
| style="height:20px; width:300px; text-align:center;" |An [[object]] is subjected to a [[Resultant Force|resultant force]] of 92N and [[accelerate]]s at a rate of 0.42m/s/s. Calculate the [[Inertial Mass|inertial mass]] of the [[object]] correct to two [[Significant Figures|significant figures]].
| style="height:20px; width:300px; text-align:center;" |The brakes of a car provide a [[force]] of 12kN and are able to [[decelerate]] it at a rate of 8.7m/s/s. Calculate the [[Inertial Mass|intertial mass]] of the car correct to two [[Significant Figures|significant figures]].
|-
| style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities'''
a = 0.42m/s/s
F = 92N
| style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities'''
a = 8.7m/s/s
F = 12kN = 12 x 10<sup>3</sup>N
|-
| style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].'''
<math>F=ma</math>
<math>92=0.42m</math>
| style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].'''
<math>F=ma</math>
<math>12 \times 10^3 = 8.7m</math>
|-
| style="height:20px; width:300px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].'''
<math>m = \frac{92}{0.42}</math>
<math>m = 219.047619kg</math>
<math>m \approx 220kg</math>
| style="height:20px; width:300px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].'''
<math>m = \frac{12 \times 10^3}{8.7}</math>
<math>m = 1379.31034kg</math>
<math>m \approx 1400kg</math>
|}