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the resulting veiocity of the liquid. It is convenient to 
consider the flow of the liquid relstive te the shock-front 
{ef. fige lb). By the conservation of mass we have 
sg d= 2 (0-V) 
The conservation of momentum states that 
pep..=—-. .U.V 
en tins 
Eliminating V from these two equations we obtain for the 
velocity of the shock relative to the medium in front of it. 
z 
The substitution of this value for U in the second of the 
two original equation then gives 
V = \/ (p=p9) (vo=v) (2 
Thus the velocity of the shock relative to the medium behind 
U-v = v,/ P7Po (2a 
Y) VorV 
Finally, the conservation of energy requires that 
it is given by 
E-E, = % (P+Pg) (Vo-v) (3 
where E is the intrinsic energy per unit mass of the liquid 
behind the shock and Ep, is the intrinsic energy per unit 
mass of that in front. 
pamminta > quatdon of state, which is sometimes 
used for liquids at high pressures, is 
a4 - 
