A small block of mass M = 850 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 = 3.5 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 = 1.5 cm and released.

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A small block of mass M = 850 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 = 3.5 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 = 1.5 cm and released.

Randomized Variables

M = 850 g
D = 1.5 cm
k = 3.5 N/m

a) Calculate a value for the magnitude of the maximum acceleration amax of the blocks in m/s2

b) Write an equation for the largest spring constant kmax for which the upper block does not slip. 

c) Calculate a value for the largest spring constant kmax for which the upper block does not slip, in N/m. 

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