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Not a Wrench

- 22

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## Homework Statement

A gun is fired from a 200 meter cliff 200 meters away from an Atwood's Machine that is also suspended 200 meters in the air with a monkey of 20kg on the ground and a second unknown mass pulling the first mass up. Find the mass of the unknown needed for the bullet and the monkey to meet.

## Homework Equations

a/2 * t = h - deltaY

T= 2*9.8/m2+20

I have no clue what else. I basically wrote everything that pertains to an atwood's machine

## The Attempt at a Solution

I first found the time at which the bullet would travel the 200 meters, which is 4/15 seconds. I then tried to solve the acceleration. I get to a= 9.8(m2-20/m2+20). I don't know where to go from here. I have a T formula with m2 but the a I just got wouldn't help me plug into that. Help?