is the light that's coming on green or red?
if it's red, there's a charging error - contact kodak, they may provide a 5v ac adapter to resolve your charging issue
if it's green, was it blinking or solid? is the battery drained?
if the battery still has a little charge on it, please connect it to the computer then turn it on, check if there's power light
check if the screen is black - that means it's making a connection and the charging is the only issue - computer not detecting it, maybe resolved by kodak's software support
if the camera screen is active - that means there's definitely something wrong with the camera
arrange repairs with kodak, include the battery and usb cable
please visit
www.kodak.com/go/itg - troubleshooting and repair
www.kodak.com/go/usbcharging