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COMEDK · Physics · 11. Mechanical Properties of Fluids

A raft of density \(600 \mathrm{~g} / \mathrm{m}^3\) and mass \(120 \mathrm{~kg}\) floats in water. How much weight can be put on the raft to make it just sink?

  1. A \(120 \mathrm{~kg}\)
  2. B \(200 \mathrm{~kg}\)
  3. C \(40 \mathrm{~kg}\)
  4. D \(80 \mathrm{~kg}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(80 \mathrm{~kg}\)

Step-by-step Solution

Detailed explanation

The density of the raft is \(\rho_{r} = 600 \text{ kg/m}^3\). The mass of the raft is \(M = 120 \text{ kg}\). The volume of the raft is \(V = \dfrac{M}{\rho_{r}} = \dfrac{120}{600} = 0.2 \text{ m}^3\). For the raft to just sink in water (density…