A wood cube 0 40 m on each side has a density of 750 kg m Whatmass has...

A wood cube 0.40 m on each side has a density of 750 kg/mÂ³ What mass...

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Physics

A wood cube 0.40 m on each side has a density of 750 kg/mÂ³ Whatmass has to be placed on top of the wood so that its top is just atthe water level?

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3.9 Ratings (498 Votes)

Weight required to be placed on the top of the wood is,

Â Â Â Â Â Â Â Â Â Â Â W = Upthrust force - Weight of the wood
Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = (density of water- density of wood) V g

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = (1000 kg/m³ - 750 kg/m³)(0.4 m)³(9.8 m/s²)

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 156.8 N

Mass required to be placed on the top of the wood is,

Â Â Â Â Â Â Â Â Â Â Â Â Â M = W / g

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 156.8 N / 9.8 m/s²

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 16 kg

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