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Conservation of momentum
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
Where: m₁ = mass 1 (kg), m₂ = mass 2 (kg), u₁ = initial velocity 1 (m/s), u₂ = initial velocity 2 (m/s), v₁ = final velocity 1 (m/s), v₂ = final velocity 2 (m/s)
Solved example
Given: m_2 = 7, u_1 = 5, u_2 = 10, v_1 = 4, v_2 = 3
Find: m_1 (mass 1 (kg))
- Formula: m₁·u₁ + m₂·u₂ = m₁·v₁ + m₂·v₂
- Rearranged for m₁: m₁ = m₂·(-u₂ + v₂)/(u₁ - v₁)
- Substitute the values: m₁ = 7·(-10 + 3)/(-4 + 5)
- Result: m₁ = -49
Answer: m_1 = -49
Calculator
How to calculate Conservation of momentum
- Write down the formula: m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂.
- Note the known values (m₂, u₁, u₂, v₁, v₂).
- Substitute them and simplify to find m_1.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Conservation of momentum?
The formula is m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂, where m₁ = mass 1 (kg), m₂ = mass 2 (kg), u₁ = initial velocity 1 (m/s), u₂ = initial velocity 2 (m/s), v₁ = final velocity 1 (m/s), v₂ = final velocity 2 (m/s).
What is Conservation of momentum when m_2 = 7, u_1 = 5, u_2 = 10, v_1 = 4, v_2 = 3?
m_1 = -49. Substitute the values into m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂ and simplify.