Question

A wood block with a density of ρb = 750 kg/m3, a length l = 45.0 cm and cross-sectional area 95. cm2

will float in water (ρw = 1000 kg/m3). If the block is pushed down a small amount from its equilibrium
floating position it will experience a restoring force that follows Hooke’s Law due to buoyancy. Determine
a) the ‘spring constant’ k for this restoring force, b) the period of the oscillation as it bobs up and down;
c) If the initial displacement is 5.5 cm, determine the maximum speed of the block.
Ignore friction and any waves generated by the block

Answer 1

This is the first part of the solution according to hooke's law of buoyancy , abody at rest in a fluid is acted upon by a force pushing upward called