Rebecca,
This could be the cause of a couple of things:
1) The battery could be dead: If this is the case then refer to our troubleshooting page section title "The camera won't turn on" this can be found here:
[[Nikon Coolpix S5300 Troubleshooting#Section_The_camera_won_t_turn_on]]
2) If the camera still turns on, but the camera doesn't seem to charge the cord could be broken or the port could have something in it. Refer to our troubleshooting page section title "Not Charging" this can b found here:
[[Nikon Coolpix S5300 Troubleshooting#Section_Not_charging]]