http://tinypic.com/m/i50ui9/2 The three tanks above are filled with water to the

Question

http://tinypic.com/m/i50ui9/2

The three tanks above are filled with water to the same depth. The tanks are of equal height. Tank C has the middle surface area at the bottom, tank B the greatest and tank A the least.

Options are :[ (1)Greater than, (2)True, (3)False,(4) Less than,(5) Equal ]

a)The pressure exerted on the bottom of tank A is less than for the other two tanks.

b)The water in tank B exerts an upward force on the sides of the tank.

c)The pressure at the bottom of tank C is .... the pressure at the bottom of tank B.

d)The force due to the water on the bottom of tank C is .... the weight of the water in the tank.

e)The force exerted by the water on the bottom of tank A is .... the force exerted by the water on the bottom of tank C.

HINT: Pressure depends on the depth (times density times gravity). Force is pressure times area. Weight is density times volume times gravity.

Explanation / Answer

a. 3 Pressure exerted at for all of them is same because all are at same depth form free surface.

b. 2 Water pressure is applied normal to contact surface. In this case norma to surfae will have a positive component of prssure in up ward dirction.

c. 5 as explained in a.

d. 5 (rho*g*h* A < rho * A * h * g)

e 4 since bottom cross section is less in case of bottle A

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