Find the force on a conveyor belt

1. The problem statement, all variables and given/known data
Sand is being poured onto a conveyor belt at the rate of 2kgs-1. Find the force required to move the belt at an acceleration of 3ms-2. Given the sand is not dumped off the belt at any point and the mass of the conveyor is negligible.

2. Relevant equations
F=ma=dP/dt
F-ma+v(dm/dt)=0
Conservation of momentum (:uhh:)

3. The attempt at a solution
I’m really stuck. Have I considered the correct equations? dm/dt and dv/dt are given. With only these two I can’t find a place to start. Or maybe I’m missing something simple and common which makes this opaque for me. Thanks for the help!

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