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Archimedes' Principle · Already know this?

Ten questions, one verdict per topic

Answer all ten without looking anything up. The result tells you, topic by topic, which lessons you may skip and which you should read.

Already know this?

Ten questions. The result tells you which lessons you may skip.

1

A metal cube hangs fully under water on a string. It is lowered from \(1\,\text{m}\) below the surface to \(3\,\text{m}\) below. The buoyant force on it

2

An iron ball and a wooden ball of the same volume are both held fully under water. The buoyant force is

3

A stone weighs \(40\,\text{N}\) in air and has a density of \(4000\,\text{kg/m}^3\). Its apparent weight fully under water is

4

A boat of mass \(300\,\text{kg}\) floats on a lake. The volume of water it displaces is

5

A block of wood of density \(750\,\text{kg/m}^3\) floats in water. The fraction of its volume under the surface is

6

A body weighs \(12\,\text{N}\) in air and \(8\,\text{N}\) fully under water. Its relative density is

7

A beaker of water stands on a scale that reads \(30\,\text{N}\). A block hanging from a spring balance is lowered into the water, and the buoyant force on it is \(4\,\text{N}\). The scale now reads

8

An ice cube floats in a glass of water filled to the brim. As the ice melts, the water

9

A block floats in a bucket of water with half its volume under. The bucket is in a lift that accelerates upward at \(5\,\text{m/s}^2\). Now the fraction of the block under water is

10

A floating boat is in stable equilibrium when