The tension in a string holding a solid block below the surface of a liquid (whose density is greater than the block density) is T₀ when the system is at rest. What is the string tension if the whole system accelerates upward with acceleration a? Image
Options

Question

The tension in a string holding a solid block below the surface of a liquid (whose density is greater than the block density) is T₀ when the system is at rest. What is the string tension if the whole system accelerates upward with acceleration a? Image

Options

G1 Physics · Accepted Answer

Step 1: At rest, T₀ = Fᵦ − mg = (ρliquid−ρblock)Vg. Step 2: In a frame accelerating upward with a, effective gravity is g+a, so both buoyancy and apparent weight scale by (g+a)/g. Thus T = T₀(g+a)/g = T₀(1+a/g). Correct answer: A.