Why is it important to make sure that miners spend money (on electricity) while mining?
Miners are in a competition with each other. Meaning a Miner wins the rate by creating the blog that is accepted by the ledger. In addition he will spend money first for creating a blog (electricity) and trying to play by all rules, to improve the chance to have his blog accepted. Therefore the cost of electricity helps to improve the quality of a blog
Why would it be very difficult for someone to go back change a previously added block? Because it has to be “remine” back to the blog where the transaction of a blog wants to be made. With this you have to do all conections again = solving all putzzles (more blogs = hashrate is going up )… Due to the very high costs (eletctricity) this is an not economic approach and almost impossible. Because the longest chain(POW) will be recogniszed in the network, you have to “redue” all new blogs as well… . No way of “catching” up…
How does the network regulate mining difficulty?
By having the miner to find the right nonce in addition with a lower target (only low if difficulty is high) for the created hash (together called puzzle). Only then he will be rewarded with blog reward and transaction fee. Note: With a increasing number of miners, the difficulty is going up as well.