M310 mouse stopped working,replaced battery, no good

You might have to uninstall the mouse then restart your computer then reinstall the mouse and its drivers
make sure the battery is good (has full charge)also you might test the usb device for the mouse is inserted correctly into the usb port (if applicable)
click start control panel mouse you should see 4 tabs buttons,pointers,pointer options and hardware under hardware you can troubleshoot also you can select properties under driver you will have options to update driver,rollback driver or uninstall and under hardware you can troubleshoot
in xp
hope this helps