A piece of metal with density 6.4g/cm 3 has the shape of a hockey puck, with a d

Question

A piece of metal with density 6.4g/cm3 has the shape of a hockey puck, with a diameter of 7.5cm and a height of 2.3cm If the puck is placed in a bath of fluid of 10g/cm3, it floats.

A.) How deep below the surface of the fluid is the bottom of the metal puck?

B.) A small cube made of the same metal as the puck and with sides of length 0.95cm is attached to the center of the puck. The puck is then inserted into the fluid, submerging the side that the cube is on. How deep below the surface of the fluid is the bottom of the metal cube?

Explanation / Answer

part b )

Fb = mg

rho_fluid * V*g = mg

rho_fluid * pi*d^2/4 * h_sub = rho_metal*pi*d^2/4 * h

h_sub = rho_metal/rho_fluid * h

h_sub = 4.8 cm

part b )

it remain same = 4.8 cm

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