A wood block with a density of pb = 750 kg/m³, a length 1 = 45.0 cm and cross-sectional area 95. cm² will float in water (Pw = 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.
A wood block with a density of pb = 750 kg/m³, a length 1 = 45.0 cm and cross-sectional area 95. cm² will float in water (Pw = 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.
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1. A wood block with a density of pb 750 kg/m³, a length 1 = 45.0 cm and cross-sectional area 95. cm²
will float in water (Pw = 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.
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