Question

In: Physics

A 1 kilogram wooden block floats on the water with half of the block submerged. How...

A 1 kilogram wooden block floats on the water with half of the block submerged. How much mass wouldhave to be placed on the block to just submerge it?

a. 1 kg

b. 3 kg

c. 2 kg

d. 0.5kg

Solutions

Expert Solution

Gravitational acceleration = g = 9.81 m/s²

Density of water = = 1000 kg/m³

Mass of the wooden block = M = 1 kg

Volume of the wooden block = V

Volume of the wooden block submerged = V_s = 0.5V

Buoyancy force on the wooden block = F₁

The weight of the wooden block is supported by this buoyancy force.

V = 0.002 m³

Extra mass placed on the block to completely submerge the block = m

Buoyancy force on the wooden block when it is fully submerged = F₂

The buoyancy force on the block of wood now supports the weight of the block of wood and the extra mass placed on it.

m = 1 kg

Mass to be placed on the block to just submerge it = 1 kg

genius_generous answered 1 year ago

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