Question

The figure shows two fish tank, 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?

• 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

Answer 1

Answer: (D)

S_A = S_B and 2B_A = B_B

Answer 2

S_A = (rgh) A S_B = (rgh) (1ft²)

S_A = (rgh) (1ft²) B_B = (rgh) (6ft²)

B_A = rgh (3ft²)

S_A = S_B ; B_B = 2B_A