Question 172: Properties of Matter

Question

A cubical block of side 0.5 m floats on water with 30% of its volume under water. What is the maximum
weight that can be put on the block without fully submerging it under water? [Take, density of water = 10
3
kg/m
3
]

Accepted Answer

Given $${\left( {50} ight)^3} 	imes {{30} \over {100}} 	imes \left( 1 ight) 	imes g = {M_{cube}}g$$    ...(i)
Let m mass should be placed
Hence (50)
3
$$ 	imes $$ (1) $$ 	imes $$ g =  (M
cube
+ m)g   Ã¢ÂÂ¦(ii)
equation (ii) Ã¢ÂÂ equation (i)
$$ \Rightarrow $$ mg = (50)
3
ÃÂ g(1 Ã¢ÂÂ 0.3) = 125 ÃÂ 0.7 ÃÂ 10
3
g
$$ \Rightarrow $$ m = 87.5 kg

Answer

30.1 kg

Answer

87.5 kg

Answer

65.4 kg

Answer

46.3 kg

Properties of Matter

A cubical block of side 0.5 m floats on water with 30% of its volume under water. What is the maximum weight that can be put on the block without fully submerging it under water? [Take, density of water = 10 3 kg/m 3 ]

Choose the correct answer: