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An open tank having dimensions 1 ~m 2 ~m 3 ~m completely filled with water is kept on a horizontal surface. The mass of water that spills out is 100 x ~kg , when the tank is slowly accelerated horizontally at the rate of 2 ~ms ^2 . Then find the value of x

Correct answer

4

Step-by-step solution

aligned & = a _o / g =2 / 10 =0.2 & = y / 2 y =0.4 ~m & p volume of shaded region & p V =(1 / 2)^ 0.4^ 2^ l =0.4 ~m ^3 & mass = V ^ d =0.4^ 1000=400 ~kg & p x -4 aligned

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