An object at rest is suddenly broken apart into fragments A and B by an explosion. The fragment A acquires six times the kinetic energy of the fragment B ?
Part A
What is the ratio of their masses?
**Problem:**
An object at rest explodes into two fragments, A and B. Fragment A gains six times the kinetic energy of fragment B. We need to find the ratio of their masses.
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**Key Idea:**
Since the object was initially at rest, the total momentum before and after the explosion must be conserved. This means the fragments move in opposite directions with momenta that balance each other. Additionally, the kinetic energy of fragment A is six times that of fragment B.
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**Final Answer:**
The ratio of the mass of fragment A to the mass of fragment B is:
0.1667
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This means fragment A is **1/6th the mass** of fragment B.
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