Wooden cube just floats inside a water when a 0 2 kg mass is placed on it when the mass - Physics - Mechanical Properties Of Fluids

Question

Wooden cube just floats inside a water when a 0 2 kg mass is placed
on it when the mass is remove the cube is 2 centimetre about the
water level what is the size of the cube

Hansraj Rai · Accepted Answer

Let the side of the cube be x Volume of the cube, V = x3 Let mass be the mass of the wooden block when the mass 100 g ( = 0 1 ) is on the wooden block then, Weight of the wooden block + 0 1g = weight of the water displaced by the wooden block $(m + 0 1) g = V ρ g (m + 0 1) g = x^{3} ρ g (i)$ When mass 0 1 kg is removed from the wooden block, $x^{2} (x - 0 001) ρ g = m g (i i) F r o m (i) x^{3} ρ g = m g + 0 1 g P u t t i n g t h e v a l u e o f m g, x^{3} ρ g = x^{2} (x - 0 01) ρ g + 0 1 g$ Ï = 1000 kg/m3 on solving we get, x = 10 cm

Wooden cube just floats inside a water when a 0.2 kg mass is placed on it when the mass is remove the cube is 2 centimetre about the water level what is the size of the cube