Start/Boot up problems

Follow all of the steps at > If your Mac doesn't turn on - Apple Support

and > If your Mac starts up to a blank screen - Apple Support

Then if you still can not get it going, you need to > contact Apple Support. 

New computers come with a standard one-year warranty. You haven't provided much information about your problem such that one might know the answer. So, I suggest working your way through the following troubleshooting protocol I developed.

A Troubleshooting Procedure that may Fix Problems with macOS El Capitan or Later

You should try each, one at a time, then test to see if the problem is fixed before going on to the next.

    If possible, backup your files before proceeding.

1. Shutdown the computer and disconnect all third-party peripherals.
2. Wait 30 seconds before you restart the computer.
3. Resetting your Mac's PRAM and NVRAM
4. Reset the System Management Controller (SMC)
5. Reset your Startup Disk and Sound preferences, if needed, after resetting the PRAM.
6. Test in safe mode to see if the problem persists, then restart normally. See How  to  use  safe  mode  on  your  Mac.
7. Repair the disk by booting from the Recovery HD. Immediately after the chime hold down the Command and R keys until the Utility Menu appears. Choose Disk Utility and click on the Continue button. Select the indented (usually, Macintosh HD) volume entry from the side list.  Click on the First Aid button in the toolbar. Wait for the Done button to appear. Quit Disk Utility and return to the Utility Menu. Restart the computer from the Apple Menu.
8. Reinstall a Combo Updater:  macOS Catalina 10.15.6  Combo  Update, macOS Mojave 10.14.6 Combo Update, macOS High Sierra 10.13.6 Combo Update, macOOS 10.12.6 Combo Update, OS X El Capitan 10.11.6 Combo Update.
9. Create a New User Account Open Users & Groups preferences. Click on the lock icon and enter your Admin password when prompted. On the left under Current User click on the Add [+] button under Login Options. Setup a new Admin user account. Upon completion log out of your current account then log into the new account. If your problems cease, then consider switching to the new account and transferring your files to it - Transferring files from one User Account to another.
10. Reinstall OS X by booting from the Recovery HD using the Command and R keys. When the Utility Menu appears select Install OS X then click on the Continue button.
11. Erase and Install OS X Restart the computer. Immediately after the chime hold down the Command and R keys until the Apple logo appears. When the Utility Menu appears:

     1. Select Disk Utility from the Utility Menu and click on the Continue button.

     2. When Disk Utility loads select the drive (out-dented entry) from the Device list.

     3. Click on the Erase button in Disk Utility's toolbar. A panel will drop down.

     4. Set the Format type to APFS (for SSDs only) or Mac OS Extended (Journaled.)

     5. Click on the Apply button, then wait for the Done button to activate and click on it.

     6. Quit Disk Utility and return to the Utility Menu.

     7. Select Install OS X and click on the Continue button.

This is not Apple Support. These are the Apple Support Communities. Given the Covid virus it's hard to find help via chat but you may have better luck with Twitter. Here is what you are looking for:

Contacting Apple Customer and Support Service

1. To arrange a return for repair or replacement: Mac Repair.
2. Apple Store Customer Service at 1-800-676-2775 or visit online Help for more information.
3. Primary support help at Contact Support.
4. To contact product and tech support: Contacting Apple for support and service including international calling numbers.
5. Starting  an  online  chat  with  Apple  Support.
6. Apple  Support  using  Twitter

If you want the Apple Support site, then use support.apple.com.

If you followed the protocol I posted earlier all the way through Step 11, and your computer still won't boot, then it's likely you have a hardware problem. You need to take your computer in for service and have it repaired.

Make an appointment at the Apple Genius Bar for service after the stores re-open. If you need to find an Apple Store - Find a Store - Apple. Also, see How to find your nearest Apple Authorized Service Provider (AASP) or Distributor (AAD). You may also get Apple authorized service at a local Best Buy or contact Apple Support for more options.

Contacting Apple Customer and Support Service

1. Apple Store Customer Service at 1-800-676-2775 or visit online Help for more information.
2. If you just purchased the product, then you get 90 days of free telephone support from the date of purchase of your Apple product.
3. Primary support help at Contact Support.
4. To contact product and tech support: Contacting Apple for support and service including international calling numbers.

About the Standard Warranty:

"Your Apple-branded or Beats-branded hardware product (“Product”) is warranted against defects in materials and workmanship for a period of ONE (1) YEAR from the date of original retail purchase (“Warranty Period”) when used in accordance with Apple`s user manuals (refer to www.apple.com/support/country). Under this warranty, you will be able to direct your claims to Apple even in situations where you purchased the Apple Product from a third party.” [Apple One (1) Year Limited Warranty – Accessory - For Apple and Beats Branded Products Only.]

All new Macs have a 1 year warranty, please call AppleCare today!!!!!!! In the US that number is 800-275-2273, if you are outside the US please click https://www.apple.com/contact/