There are many details about the java script conflicts as you can read from other’s if you search the forums for ‘Contact Form 7 Spinning Arrows’
My fix was changing the read write access on the files after running firebug I found out there were permission denied errors.
In really-simple-captcha.php which is in the plugins folder I changed the temp file permissions there to see if I could first fix the permissions issues. after that the “your email was sent successfully started working.
This is what I changed to.
/* Mode of temporary image files */
$this->file_mode = 0777;
/* Mode of temporary answer text files */
$this->answer_file_mode = 0777;