# Equilibrium 7990

At the end of one arm of the equilibrium scales, which are in equilibrium, a lead body with a volume V1 is suspended in the air. At the end of the other arm is an aluminum body with a volume V2. The balance arms have sizes l1 and l2, lead density h1 = 11,340 kg / m3, aluminum density h2 = 2,700 kg / m3. If we change the position of the bodies and immerse them in water, equilibrium occurs again (h3 = 1000 kg / m3). Do not consider the buoyancy of the air.

a) What is the ratio of arm sizes l1: l2?
b) What is the volume ratio of V2: V1 bodies?

a =  1.2034
b =  5.0543

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