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7. A small block of mass M = 450 g is placed on top of a larger block of mass 3M which is placed on a level frictionless surface and is attached to a horizontal spring of spring constant k = 2.8 N/m. The coefficient of static friction between the blocks is μ = 0.2. The lower block is pulled until the attached spring is stretched a distance D = 4.5 cm and released.
part a: Assuming the blocks are stuck together, what is the maximum magnitude of acceleration amax of the blocks in terms of the variables in the problem statement?
part b: calculate a value for the magnitude of the maximum acceleration amax of the blocks in meters per second.
part c: Write an equation for the largest spring constant kmax for which the upper block does not slip.
part d: Calculate a value for the largest spring constant kmax for which the upper block does not slip, in N/m.
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