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An object initially at rest breaks into two pieces as the result of an explosion. One piece has twice the energy of the other piece. What is the ratio of the masses of the two pieces? Which piece has the
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An object initially at rest breaks into two pieces as the result of an explosion. One piece has twice the energy of the other piece. What is the ratio of the masses of the two pieces? Which piece has the larger mass?

User Vit Veres
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1 Answer

3 votes
m₁V₁ = m₂V₂
KE = ½mV²
½m₁V₁² = 2*½m₂V₂²

m₁V₁ = m₂V₂
½m₁V₁² = m₂V₂²

m₁/m₂ = V₂/V₁

m₁/m₂ = 2V₂²/V₁²
V₂/V₁ = √(½m₁/m₂)


m₁/m₂ = √(½m₁/m₂)
squaring
(m₁/m₂)² = ½m₁/m₂

2m₂m₁² = m₁m₂²
divide by m₁m₂
2m₁ = m₂
m₂/m₁ = 2
hope this helps
User Volod
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8.2k points
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