An ice cube floats in water at 0°C. The cube has a mass 900 gm and density of 0.9 gm/cc. Water has density of 1 gm/cc. Find the change in gravitational potential energy of the system when entire ice m

Question

An ice cube floats in water at 0°C. The cube has a mass 900 gm and density of 0.9 gm/cc. Water has density of 1 gm/cc. Find the change in gravitational potential energy of the system when entire ice melts. The temperature of water remains at 0°C.

TestHub · Accepted Answer

a h ​ = ρ w ​ ρ i ​ ​ = 0.9 Take the water surface as zero potential. y i ​ = − 0.4 a Melted ice fills the submerged volume. y f ​ = − 2 h ​ = − 0.45 a a 3 = ρ i ​ m ​ = 1000 cm 3 a = 0.10 m Δ U = m g ( y f ​ − y i ​ ) Δ U = ( 0.9 ) ( 10 ) ( − 0.05 ) ( 0.10 ) Δ U = − 0.045 J = − 45 mJ

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