JEE Main Physics question
An ice cube of size a = 5 cm is floating in a tank (base area A = 25 cm × 25 cm) partially filled with water. The change in gravitational potential energy, when the ice cube melts completely, is −N × 10⁻³ J, where N = . (Take density of ice is 900 kg/m³ and g = 10 m/s²)
Answer: 2.81
Solution
Relative density of ice = 900/1000 = 0.9, so 90% of the ice cube's volume is submerged. When the ice melts completely, the water level in the tank does not change (Archimedes' principle), but the centre of gravity of the ice-then-water shifts down
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