yea i'm thinking the cart connector is worn out, if they go in with almost no force than its probably time to bend the pins inward a bit, almost like a NES cart connector, only problem it it'll be harder to bend these because it doesent come off of the system like the NES and theres also a metal shield around the connector that gets in the way.
if you can get a curved dentist pick thing that works the best for me...
i'll try and find an example..
edit:
example http://www.amazon.com/SE-Pick-Double...s=dentist+pick