A tank of mass 30 kg holding 500 kg of water is dragged at 10 m/s along a floor with μ = 0.3 ( g = 9.8 m/s²). All the frictional heat passes through a bottom plate of area 0.5 m² and thickness 4 cm, w

Question

A tank of mass 30 kg holding 500 kg of water is dragged at 10 m/s along a floor with μ = 0.3 ( g = 9.8 m/s²). All the frictional heat passes through a bottom plate of area 0.5 m² and thickness 4 cm, with k = 30 W m⁻¹ K⁻¹, into water held at 40°C. Find the temperature of the bottom surface, in °C.

TestHub · Accepted Answer

Friction = 0.3 × 530 × 9.8 = 1558 N; heat per second = 1558 × 10 = 15582 W. Δ T = k A P d ​ = 30 × 0.5 15582 × 0.04 ​ = 41.6 ∘ C. Bottom = 40 + 41.6 = 81.6 ∘ C.

Physics - Heat & Thermo Question with Solution | TestHub

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