Sum of the forces in the x direction = Force of finger + Force due to friction = ma

Force of finger is +0.06N. (Choosing positive direction to the right)

Force due to friction is -0.5 * Normal Force (where friction force is resisting and opposite the motion and Normal Force is equal to mg) = -0.098N (The Normal Force = mg because sum of the forces in the y-direction = 0. Hence: Normal Force + mg = 0 => Normal Force = -m(-g) = mg )

Sum of Forces (x-direction) = +0.06N - 0.098N = ma = 0.02kg * a => solve for a

a = -1.9m/s^2

This means that as the finger pushes the piece to the right, friction is resisting movement so much that the piece is SLOWING down at a rate of 1.9m/s^2. Eventually the piece will move to a square and stop. Checkmate!

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