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Then:
<math>m_1 v_1 + m_2 v_2= m_1 v_3 + m_2 v_4</math>
Where:
<math>m_1</math> = The [[mass]] of [[object]] 1.
<math>v_1</math> = The [[velocity]] of [[object]] 1 before the explosion. <math>v_3</math> = The [[velocity]] of [[object]] 1 after the explosion.
<math>m_2</math> = The [[mass]] of [[object]] 2.
<math>v_2</math> = The [[velocity]] of [[object]] 2 before the explosion. <math>v_4</math> = The [[velocity]] of [[object]] 2 after the explosion.
{| class="wikitable"
| style="height:20px; width: 300px; text-align:left;" |'''1. State the known quantities'''
m<sub>1</sub> =3kg
v<sub>13</sub> =3m/s m<sub>2</sub> = 1kg v<sub>2</sub> = 2m/s
| style="height:20px; width: 300px; text-align:left;" |'''1. State the known quantities'''
m<sub>1</sub> = 0.5kg
v<sub>1</sub> = 4m/s
v<sub>3</sub> = 0m/s
m<sub>2</sub> = 0.2kg
v<sub>2</sub> = -3m/s This is negative because it is travelling in the opposite direction.
|-
| style="height:20px; width: 300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].'''
<math>m_1 v_1 + m_2 v_2 = m_1 v_3 + m_2 v_4</math>
<math>3 \times 4 + 1 \times 2 = 3 \times 3 + 1 \times v_4</math>
<math>12 + 2 = 9 + v_4</math>
<math>14 = 9 + v_4</math>
| style="height:20px; width: 300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].'''
<math>m_1 v_1 + m_2 v_2 = m_1 v_3 + m_2 v_4</math>
<math>0.5 \times 4 + 0.2 \times (-3) = 0.5 \times 0 + 0.2 \times v_4</math>
<math>2 -0.6 = 0 + 0.2v_4</math>
<math>1.4 = 0.2v_4</math>
|-
| style="height:20px; width: 300px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].'''
<math>v_4 = 14-9</math>
<math>v_4 = 5m/s</math>
| style="height:20px; width: 300px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].'''
<math>v_4 = \frac{1.4}{0.2}</math>
<math>v_4 = 7m/s</math>
|}
===Inelastic Collisions===