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No, "mope" does not contain a long vowel sound. The "o" in "mope" is pronounced as a short vowel sound.
After receiving a bad grade, she decided to mope around the house all day instead of studying for the next exam.
i think it means something like to mope around~ to sulk. I'm really not sure.
In the English Language , there is only one syllable. The suffix 'e' is mute.
The cast of The Big Mope - 2007 includes: Tim Spaulding as Tim