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Grade 12th passModern Physics

A small block of wood of density 0.4x10^3 kg/m^3 is submerged in water at a depth of 2.9m. find
a) acceleration of the block towards the surface when the block is released
b) the time for the block to reach the surdace. ignore viscosity

Profile image of Yunee
10 Years agoGrade 12th pass
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1 Answer

Profile image of Rituraj Tiwari
5 Years ago
A ball whose density 0.4 × 10³ kg/m³ falls into water . Before falling into the water, velocity of ball at the surface of water , u = √{2gh}

Now, use formula for finding acceleration of ball,
a = apparent weight/mass of ball
Apparent weight = V(ρ - σ)g
Where , V is the volume of ball , ρ is density of ball and σ is density of water.
Now, apprent weight = V(0.4 - 1) × 10³ × g = -0.6gV × 10³
∴ a = -0.6gV × 10³/ρV
= -0.6g/0.4 = -3g/2 m/s²