A mass initially at rest explodes into two fragments with masses $$\(m_{1}\)$$ and $$\(m_{2}\)$$. If $$\(m_{1}\)$$ subsequently moves with a speed $$\(v_{1}\)$$, how much kinetic energy was liberated in the explosion?
A.
\(\frac{1}{2} m_{1} v_{1}^{2}\)
B.
\(\frac{1}{2} m_{1} v_{1}^{2}\left(1+m_{1} / m_{2}\right)\)
C.
\(\frac{1}{2} m_{1} v_{1}^{2}\left(1+m_{2} / m_{1}\right)\)
D.
\(\frac{1}{2} m_{1} v_{1}^{2}\left(1+m_{2}^{2} / m_{1}^{2}\right)\)
E.
Not enough information is given.
Exam No：AP Physics C Practice Test Year：2024 Question No：16
Answer:
B
Knowledge points:
3.3 Conservation of Energy
4.3 Conservation of Linear Momentum, Collisions
Solution:
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