Question

A 60 kg swimmer is floating in a pool holding grip of a light beach ball...

A 60 kg swimmer is floating in a pool holding grip of a light beach ball of a diameter 30 cm. Find density of the swimmer’s body if 90% of it and a half of the ball are submerged.

explain each step in detail

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Answer #1

Mass of swimmer

Radius of ball is

Volume of swimmer , density of swimmer

Volume of ball

The swimmer is floating in the pool with 90% of his body and 50% of ball's volume is submerged in water.

Buoyancy force on the swimmer+ball  

Diplaced volume of water is

Force of gravity on swimmer is

As the swimmer is floating on the pool,

Desnity of swimmer's body is

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