verstopfen
to clog
To block a passage, such as a pipe, drain, or opening, so that liquids or other things can no longer flow through it.
Die Haare haben den Abfluss in der Dusche verstopft.
The hair clogged the drain in the shower.

to clog / to block
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to clog
To block a passage, such as a pipe, drain, or opening, so that liquids or other things can no longer flow through it.
Die Haare haben den Abfluss in der Dusche verstopft.
The hair clogged the drain in the shower.

The verb is derived from 'stopfen' (to stuff, to cram). The inseparable prefix 'ver-' intensifies the meaning and indicates that the action leads to a complete blockage.
Alte Blätter verstopfen oft die Regenrinne.
Old leaves often clog the gutter.
You can use the verb actively to name the cause of the blockage (X verstopft Y). Very often, however, the stative passive (Y ist verstopft) is also used to describe the blocked state.
Das Fett verstopft den Abfluss.
The grease clogs the drain.
The object of the verb makes the meaning clear. With 'Rohr' (pipe) or 'Abfluss' (drain), it refers to a physical blockage. With 'Straße' (road) or 'Autobahn' (highway), it means a traffic jam. In a medical context, it refers to the intestines.
Ein umgefallener Baum verstopft die Landstraße.
A fallen tree is blocking the country road.
When referring to drains or pipes, the typical things that clog something are 'Haare' (hair), 'Fett' (grease), or 'Essensreste' (food scraps).
Man sollte kein heißes Fett in den Abfluss gießen, weil es ihn verstopfen kann.
You shouldn't pour hot grease down the drain because it can clog it.
to block / to ban
'sperren' and 'verstopfen' can both have to do with a blocked path or passage. 'sperren' usually means that a path or access point is deliberately closed, often by a person, an authority, or a barrier. 'verstopfen' means that a passage is no longer clear because of too many things, dirt, or traffic. This often happens more as the result of a situation. The words can be confused because in both cases you cannot get through easily. For an official road closure, you say 'sperren'; for a drain, pipe, or traffic jam, 'verstopfen' fits better.

Blätter verstopfen den Abfluss vor dem Haus.
Leaves clog the drain in front of the house.
Für den Stadtlauf sperrt die Stadt mehrere Straßen im Zentrum.
For the city run, the city is closing several streets in the center.