It would be of benefit to see the configuration you have on the ASA and also the switch ports connected to the ASA interfaces to point you in the right direction.
Few things come to mind -
You may need to be inspecting ICMP if you are not already doing so. Look at the global policy near bottom of config. Do you see any inspect icmp config?
If you have traffic "originating" from the Outside (0) TO the Inside (100) you will also need an access list allowing he desired traffic.
Should traffic be allowed to flow freely between these two networks? If so, it may be better to have them at same security level on the ASA and permit same security inter interface traffic. Again, not entirely sure on your goals etc with the setup.
Thanks