A metal block of mass 1.830 kg is hanging from a string. The tension in the...

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A metal block of mass 1.830 kg is hanging from a string. Thetension in the string is 1.089Ã—10¹ N. The block issubmerged in a beaker of fluid and is stationary. What is themagnitude and direction of the buoyant force acting on theblock?

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4.2 Ratings (670 Votes)

Mass of the block m = 1.830 kg

Weight of the block W = mg

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 1.830 kg x 9.8 m/s ²

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 17.934 N

Tension in the string T = 1.089 x10 ¹ N

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 10.89 N

The magnitude of the buoyant force acting on the block F = W-T

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 7.044 N

Direction : along upward direction.i.e., opposite to weight direction

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