
der Mut
courage
The ability and willingness to do something difficult or risky despite fear or danger; bravery.
Es erforderte viel Mut, dem Chef die eigene Meinung zu sagen.
It took a lot of courage to tell the boss your own opinion.
courage
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courage
The ability and willingness to do something difficult or risky despite fear or danger; bravery.
Es erforderte viel Mut, dem Chef die eigene Meinung zu sagen.
It took a lot of courage to tell the boss your own opinion.

to have the courage
To dare to carry out a specific action that is felt to be challenging or frightening.
Sie hatte endlich den Mut, ihren Job zu kündigen und sich selbstständig zu machen.
She finally had the courage to quit her job and become self-employed.

to lose courage
To lose confidence and bravery because of difficulties or setbacks; to become discouraged.
Auch nach mehreren Absagen darfst du nicht den Mut verlieren und musst es weiter versuchen.
Even after several rejections, you must not lose courage and have to keep trying.
'Der Mut' belongs to a word family. The related adjective is 'mutig' (brave). The verb 'jemanden ermutigen' means to encourage someone.
Sie ist ein sehr mutiges Mädchen.
She is a very brave girl.
'Mut' is an uncountable noun and is often used without an article, especially in the fixed expression 'Mut haben' (to have courage). So you say 'Er hat Mut' (He has courage), not 'Er hat einen Mut'.
Man braucht viel Mut, um vor so vielen Menschen zu sprechen.
You need a lot of courage to speak in front of so many people.
There are several fixed expressions with 'Mut'. Common ones are 'Mut fassen' (to take heart), 'jemandem Mut machen' (to encourage someone), and 'seinen ganzen Mut zusammennehmen' (to summon all one's courage).
Nach dem Schock musste sie erst wieder Mut fassen.
After the shock, she first had to take heart again.
This expression is typically followed by an infinitive construction with 'zu'. It follows the pattern: 'den Mut haben, etwas zu tun' (to have the courage to do something).
Er hatte nicht den Mut, die Wahrheit zu sagen.
He did not have the courage to tell the truth.
heart
Both words can express determined action despite a difficult situation. Mut is the general ability and willingness to face a challenge; Herz is used for this mainly in the figurative expression „sich ein Herz fassen“ and can sound more personal. Use Mut in general and Herz in this fixed expression.

Trotz seiner Angst hatte er den Mut, den Arzt anzurufen.
Despite his fear, he had the courage to call the doctor.
Nach langem Zögern fasste sie sich ein Herz und rief den Arzt an.
After hesitating for a long time, she summoned the courage to call the doctor.