The Domain Name System (DNS) is crucial for translating human-readable domain names (like "google.com") into numerical IP addresses that computers use to locate resources on the internet. If DNS resolution fails, the web browser cannot determine the IP address of the website's server, preventing it from initiating a connection. This explains why a user might be able to ping local IP addresses (which don't require DNS) but cannot access websites by their domain names.
Why this answer
This scenario isolates a DNS failure: local IP communication works, but name resolution fails. DNS translates domain names to IP addresses, so if it fails, web browsing by name will not work while local IP pings succeed.