Osmium (the densest metal found on the periodic table) has a mass density, ρo = 22,500 kg/m3 when it's sitting still. If a sample of osmium is moving with enough speed that its kinetic energy is equal to one-quarter its own rest energy, what is its mass density, ρ', as measured by a stationary observer? (Remember ρ' = m' / V' ) Group of answer choices ρ' = (5/4) ρo ρ' = (25/16) ρo ρ' = (9/25) ρo ρ' = ρo ρ' = (3/5) ρo

Physics for Scientists and Engineers: Foundations and Connections
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Chapter39: Relativity
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Osmium (the densest metal found on the periodic table) has a mass density, ρo = 22,500 kg/m3 when it's sitting still.
If a sample of osmium is moving with enough speed that its kinetic energy is equal to one-quarter its own rest energy, what is its mass density, ρ', as measured by a stationary observer?

(Remember ρ' = m' / V' )

Group of answer choices
ρ' = (5/4) ρo
ρ' = (25/16) ρo
ρ' = (9/25) ρo
ρ' = ρo
ρ' = (3/5) ρ
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