Rust refers to the corrosion product formed as a result of the oxidation of iron. This happens when iron reacts with oxygen and water. The chemical formula typically associated with rust is \(Fe_2O_3 × H_2O\), which denotes hydrated iron(III) oxide. This particular formula captures one of the common hydrates formed during this oxidation process:
From the given options, the correct formula for rust is \(Fe_2O_3 × H_2O\).
Correct answer: \(Fe_2O_3 \times H_2O\)
Explanation:
Rust is the reddish-brown substance formed on iron or steel due to the reaction with oxygen and moisture (water) in the environment. It is a hydrated form of iron(III) oxide, and its approximate chemical formula is:
\[ Fe_2O_3 \cdot H_2O \] This is not a fixed compound, but a general representation of rust.
Other options like \(Fe(OH)_2\) and \(Fe(OH)_3\) are iron hydroxides, not the actual rust formula.
The figure shows a rod PQ, hinged at P, rotating counter-clockwise with a uniform angular speed of 15 rad/s. A block R translates along a slot cut out in rod PQ. At the instant shown the distance \( PR = 0.5 \, {m} \) and \( \theta = 60^\circ \). The relative velocity of R with respect to the rod PQ is 5 m/s at the instant shown. The relative acceleration of R with respect to the rod PQ is zero at the instant shown.
Which one of the following is the CORRECT magnitude of the absolute acceleration (in m/s\(^2\)) of block R?
Consider two blocks, P of mass 100 kg and Q of mass 150 kg, resting as shown in the figure. The angle \( \theta = 30^\circ \). The coefficient of friction between the two blocks is 0.2. Assume no friction exists at all other interfaces. The minimum force required to move the block P upward is \( W \). Which one of the following options is closest to the CORRECT magnitude of \( W \) (in N)?