The figure shows two fish tanks, each having ends of width 1 foot. Tank A is 3 feet long while tank B is 6 feet long. Both tanks are filled with 1 foot of water. Using the notation given above, which one of the following sets of equations below is correct for this situation? A)S_A = S_B and B_A = B_B B)S_A = 2S_B and B_A = B_B C)2S_A= S_B and 2B_A = B_B D)S_A = S_B and 2B_A = B_B E)S_A = 2S_B and B_A = 2B_B

Question

Quizplus · Accepted Answer

According to the notation given above, S1 represents the cross-sectional area of the tank, U1 represents the depth of water, and B1 represents the width of the ends of the tank. For both tanks A and B, the width of the ends (B1) is 1 foot, and the depth of water (U1) is also 1 foot. Therefore, the only variable that differs in the equation for tanks A and B is the cross-sectional area (S1). For tank A, S1 = 3x1 = 3 square feet For tank B, S1 = 6x1 = 6 square feet Therefore, the correct equations for this situation are: S_A = S_B (for tank A and tank B) B_A = 2B_B (for tank B, where S1 = 6) These equations indicate that the hydrostatic pressure at the bottom of both tanks is equal (since the depth and width are the same), but the pressure on the sides of tank B is twice the pressure on the sides of tank A (since the area of the sides is twice as large).

The Figure Shows Two Fish Tanks, Each Having Ends of Width