(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show how to simplify (m_{B}v_{B}^{2}- m_{B}v_{C}^{2}- m_{C}v_{C}^{2})/(m_{B}v_{B}^{2}) to m_{C}/(m_{C}+ m_{B})

2. Relevant equations

v_{B}is not equal to v_{C}.

v_{B}= muzzle speed of a bullet = unknown value

v_{C}= speed of the clay block after it is hit by the bullet = unknown value

v_{B}= ((2gh)^{0.5}(m_{B}+ m_{C}))/m_{B}

v_{C}= (2gh)^{0.5}

g = gravitational acceleration

h = unkown height

m_{B}is not equal to m_{C}

m_{B}is the mass of a bullet. m_{B}is unkown though

m_{C}is the mass of a clay block. m_{C}is also unkown

3. The attempt at a solution

I have tried many different methods, but I still cannot show how to simplify the above equation

Please Help!

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# Homework Help: Simplifying math homework help

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