A raft of wood (density 600 kg text/m3 ) of mass 120 kg floats in water. How much weight can be put on the raft to make it just sink?

Question

A raft of wood (density 600 kg text/m3 ) of mass 120 kg floats in water. How much weight can be put on the raft to make it just sink? (A) 120 kg (B) 200 kg (C) 40 kg (D) 80 kg

Tardigrade Admin · Accepted Answer

Volume of raft of wood =(120/600) =0.2 m3 Weight of water displaced =0.2× 103× g =200 kg wt Mass of water displaced = 200 kg Hence, additional mass which can be added = 200 -120 = 80 kg

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

120 kg

200 kg

40 kg

80 kg

Volume of raft of wood $= \frac{120}{600}$ $= 0.2 m^{3}$ Weight of water displaced $= 0.2 \times 10^{3} \times g$ $= 200 k g wt$ Mass of water displaced = 200 kg Hence, additional mass which can be added = 200 -120 = 80 kg

Q. A raft of wood (density 600 kg/m3 ) of mass 120 kg floats in water. How much weight can be put on the raft to make it just sink?