Question

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.

S_A = the magnitude of the force of the water on the end of tank A

S_B = the magnitude of the force of the water on the end of tank B

B_A = the magnitude of the force of the water on the bottom of tank A

B_B = the magnitude of the force of the water on the bottom of tank B. Using the notation given above, Which one of the following sets of equations below is correct for this situation?

Options

• S_A = S_B and B_A = B_B

• S_A = 2S_B and B_A = B_B

• 2S_A = S_B and 2B_A = B_B

• S_A = S_B and 2B_A = B_B

Answer 1

S_A = S_B and 2B_A = B_B

Explanation:

`S_A = (rhogh)A`

`S_B = (rhogh)(1ft^2)`

`S_A = (rhogh)(1ft^2)`

`B_B = (rhogh)(6ft^2)`

`B_A = rhogh(3ft^2)`

`S_A = S_B; B_B = 2B_A`