쓰다 is pressing one thing against another

Where the picture shows up in 쓰다

1. 1

   pen against paper

   여기에 이름 좀 써 주세요.

   yeo-gi-e i-reum jom sseo ju-se-yo

   Could you write your name here?

2. 2

   a tool against a job

   이 앱 한번 써 보세요.

   i aep han-beon sseo bo-se-yo

   Give this app a try — it's handy.

3. 3

   money against a price

   이번 달에 돈을 너무 많이 썼어요.

   i-beon da-re do-neul neo-mu ma-ni sseo-sseo-yo

   I spent way too much this month.

4. 4

   a hat against your head

   밖에 추우니까 모자 쓰고 나가.

   ba-kke chu-u-ni-kka mo-ja sseu-go na-ga

   It's cold out — put a hat on.

   On the head it's 쓰다; on the body 입다; on the feet 신다.

5. 5

   a false charge laid on your head

   억울하게 누명을 썼어요.

   eo-gul-ha-ge nu-myeong-eul sseo-sseo-yo

   I got blamed for something I didn't do.

   맛이 쓰다 ('to taste bitter') is a different word that merely sounds the same.