Calculating force with only mass and distance known

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Say I have a block with a known mass and surface area. If I apply an unknown force to the block and it travels a known distance how can I calculate the applied force. It seems simple if I had a known acceleration but I do not.
PLEASE HELP!
 
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You simply do not have enough information.
 
What other information would i need?
 
As AJ said not enough information is given. is this a example, if so can you type it up, or up load it?
 
Basically i have a block that is set on a peg 3.5" off of the ground. We apply a unknown pressure to it and see how far it travels. I need to find out what the force applied to the block is. How can i calculate this. If i do not have enough info what other info do i need?
 
It still isn't clear what you mean.

'Set on a peg' could mean anyone of a number of scenarios.

How are you applying pressure? Do you know what exactly the word pressure actually means in physics? Or do you mean a force?

'See how far it travels' - In which direction, up? down? sideways?

You will need to explain in careful detail exactly what your experiment looks like if we are to help you. A proper drawing would be helpful (Not some hasty scribble - do it carefully).