⦁ Use the equation of motion to show that once released from submersion the magnitude of...

⦁ Use the equation of motion to show that once released from submersion the magnitude of the acceleration a, for the object that ascends (floating to the surface), in terms of the density of the fluid and object is:

a = (ρoil /ρo – 1)g

⦁ Use one of the previous equations to determine the density of the oil?

Solutions

Expert Solution

V = volume of the object = Volume of the fluid displaced

= density of the object

= density of the oil

Fb = force of buoyancy acting in upward direction

Force of buoyancy is given as

Fb = V g

Fg = force of gravity acting in down direction

Force of gravity is given as

Fg = V g

Force equation for the motion of the object is given as

Fb - Fg = = ma

V g - V g = V a

g - g = a

a = ( - ) g/

a = ( / - 1) g

genius_generous answered 1 year ago

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