. A 20 g spoon is put into a dish filled with water to the brim, and 3.0 cm^3 of water overflo

step 1 we have a piece of cork having density row equals to 0 .33 gram per centimeter cube and mass sma

. A 20 g spoon is put into a dish filled with water to the...

. A $20 \mathrm{~g}$ spoon is put into a dish filled with water to the brim, and $3.0 \mathrm{~cm}^3$ of water overflows. The weight of the spoon in the water is
(a) $0.03 \mathrm{~N}$
(c) $0.20 \mathrm{~N}$
(b) $0.17 \mathrm{~N}$
(d) $0.23 \mathrm{~N}$

Key Concepts

Archimedes' Principle

This principle states that the buoyant force acting on a submerged object is equal to the weight of the fluid displaced by the object. It is fundamental in understanding how objects behave in fluids, such as why they seem lighter when submerged.

Buoyant Force

Buoyant force is the upward force exerted by a fluid, opposing the weight of an immersed object. In problems like this, it is calculated by finding the weight of the volume of water displaced by the object.

Apparent Weight

Apparent weight is the net weight of an object when submerged in a fluid, which is its actual weight minus the buoyant force. This concept explains why objects weigh less in water than in air.

Density and Unit Conversion

The density of water is typically 1 g/cm³, which allows for direct conversion of volume of water displaced to mass. Additionally, converting mass (in grams) to weight (in Newtons) using gravitational acceleration is necessary to match the units provided in typical physics problems.

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