As shown in the figure, a block of mass M1 = 0.250 kg is initially at rest on a slab of mass M2 = 0.420 kg, and the slab is initially at rest on a level table. A string of negligible mass is connected to the slab, runs over a frictionless pulley on the edge of the table, and is attached to a hanging mass M3 = 1.80 kg. The block rests on the slab but is not tied to the string, so friction provides the only horizontal force on the block. The slab has a coefficient of kinetic friction µk = 0.340 with both the table and the block. When released, M3 pulls on the string, which accelerates the slab so quickly that the block starts to slide on the slab. Before the block slides off the top of the slab:
a) Find the magnitude of the acceleration of the block.
b) Find the magnitude of the acceleration of the slab.
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