5c is frozen

Try this

To put your device into recovery mode, follow these steps:

1. Turn off your device and leave it off.
2. Plug in your device's USB cable to a computer with iTunes.
3. Hold down the Home button on your device as you connect the USB cable. ...
4. When you see this screen, release the Home button.

hold down the Power/Sleep Button and Home button after you plug the USB in your computer and have iTunes up.

It will go into recovery mode. You will then have to do a restore.

hold down the sleep/wake button and the home button at the same time until you see the apple logo. once the logo comes up release the buttons and the phone will be good