MOSH $5 Fridays Feb 152013 If you're new here, you may want to subscribe to our daily email updates. That way, you won't miss a deal. Thanks for visiting! Entry to MOSH, is $5 on Fridays. The usual adult entry fee is $10. Also on Fridays — the museum is open 10 a.m. to 8 p.m. MOSH is at 1025 Museum Circle, Jacksonville, 904-396-6674. Comments are closed.