You do not have to have US$5000 physically on you when travelling through Canada. You simply have to prove that you have sufficient funds to pay for your trip into or through Canada (credit card, bank account, etc if asked). This is to prevent other countries vagrants from coming here to become a burden on the Canadian taxpayer. For example, you probably could not come here and say that you are going to hitch-hike across the country to save on costs.
When you come into Canada, you will be asked where you are coming from, where you are going, how long you plan to be in Canada, and if you are transporting any food, plants, animals, drugs, or firearms with you.
On that last note, in the event that you do need to transport a firearm (gun, rifle, crossbow, etc)while moving to Alaska, you may need special forms and the firearm must be in an appropriate secured storage container while it is passing through Canada. Make sure you consult the Canada Customs to be sure what you need to do.
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