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wel
4 years ago
7

An object initially at rest breaks into two pieces as the result of an explosion. One piece has twice the energy of the other pi

ece. What is the ratio of the masses of the two pieces? Which piece has the larger mass?
Physics
1 answer:
Butoxors [25]4 years ago
4 0
M₁V₁ = m₂V₂ 
<span>KE = ½mV² </span>
<span>½m₁V₁² = 2*½m₂V₂² </span>

<span>m₁V₁ = m₂V₂ </span>
<span>½m₁V₁² = m₂V₂² </span>

<span>m₁/m₂ = V₂/V₁ </span>

<span>m₁/m₂ = 2V₂²/V₁² </span>
<span>V₂/V₁ = √(½m₁/m₂) </span>


<span>m₁/m₂ = √(½m₁/m₂) </span>
<span>squaring</span>
<span>(m₁/m₂)² = ½m₁/m₂ </span>

<span>2m₂m₁² = m₁m₂² </span>
<span>divide by m₁m₂ </span>
<span>2m₁ = m₂ </span>
<span>m₂/m₁ = 2 
hope this helps</span>
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