Joh 6:28-29 Then said they unto him, What shall we do, that we might work the works of God? (29) Jesus answered and said unto them, This is the work of God, that ye believe on him whom he hath sent.
To exercise faith is the work of God. If you're truly saved according to the gospel of Christ, you will believe and follow (obey) Jesus and by doing that, He will "know you" (You will have a relationship with Him):
Joh 10:26-30 But ye believe not, because ye are not of my sheep, as I said unto you. (27) My sheep hear my voice, and I know them, and they follow me: (28) And I give unto them eternal life; and they shall never perish, neither shall any man pluck them out of my hand. (29) My Father, which gave them me, is greater than all; and no man is able to pluck them out of my Father's hand. (30) I and my Father are one.
Those who don't follow Jesus, aren't known by Jesus:
"Not everyone who says to me, 'Lord, Lord,' will enter the kingdom of heaven, but the one who does the will of my Father who is in heaven. On that day many will say to me, 'Lord, Lord, did we not prophesy in your name, and cast out demons in your name, and do many mighty works in your name?' And then will I declare to them, 'I never knew you; depart from me, you workers of lawlessness.'" (Matthew 7:21-23, ESV)
Jesus "knows" (i.e. Has a relationship with), those who genuinely believe and trust in Him enough to follow him and reject lawlessness. This is clear from scripture. The problem is that Evangelicals like you believe that getting up from your chair and walking to the table where Jesus is sitting with your ticket to heaven, is "work salvation". They want Jesus to walk through the stadium and hand the ticket to everyone, while people sit there vegetating and waiting for the Lord.
There's indeed nothing we can do to merit or make God owe us eternal life. Even this mortal life is completely unmerited, how much more eternal life? But, even though God owes us nothing, He still expects us to live a certain way (At least walk to the table and grab your ticket to heaven, that's what he expects from you). If you have a briefcase with a million dollars, that you're going to give me as a gift and all you want from me is to walk to the table and grab the briefcase, am I earning those million dollars? Are you "paying me" a million bucks for getting off my derriere, walking to the table a few feet away, and grabbing my gift?
Jesus taught that His sheep, follow Him. He requires you to do the will of His Father and not live lawlessly. If you don't understand that, you're going to find yourself at the receiving end of "Depart from me, I never knew you". You don't want to be in that position.