A flat bottomed metal tank filled with water is dragged along a horizontal floor at the rate of `20 m//s` The tank is of mass 100 kg and contains 900 kg of water and all the heat produced in the dragging is conducted to the water through the bottom plate of the tank. If the bottom plate has an effective area of conduction `1m^(2)` and thickness 5 cm and the temperature of water in the tank remains constant at `50^(@)` C, calculate the temperature of the bottom surface of the tank. Given the coefficient of friction between the tank and the floor is `0.5` and K for the material of the tank is `100 J//m sec` K.

Answer

`100^(@)C`

Explanation

Heat produced by friction in I sec `=mumg(vxx1)`
`=0.5(100+900)(10)(20xx1)`
`H=100.000` J//s
`H=(T-50)/((5xx10^(-2))/(100xx1)) Rightarrow T=100^(@)` C