A cubical block of side length is made of a material whose density is

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Fluids · Fluids

Problem

A cubical block of side length 6.0 cm6.0\,\text{cm} is made of a material whose density is 800 kg m−3800\,\text{kg\,m}^{-3}. The block is attached to a spring scale by a thin string and is held fully submerged, at rest, in a tank of oil of density 900 kg m−3900\,\text{kg\,m}^{-3}. Ignore any drag forces. (a) Calculate the magnitude of the buoyant force exerted on the block by the oil. (b) Determine the reading shown on the spring scale. Express your answer to two significant figures and include appropriate units. (c) Compare the scale reading found in part (b) with the actual weight of the block. State which is larger and explain why.

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