An object of mass m=1 \mathrm{~kg} is attached to a platform of mass M=4 \mathrm{~kg} with a spring of spring constant k=400 \mathrm{~N} / \mathrm{m}. There is no friction between the object and the platform, and the coefficient of static friction between the platform and the ground is \mu=0.1. The object is placed at its equilibrium position, and then given a horizontal velocity v.
For what v will the platform never slip on the ground?
Answer Choices
A. v \leq 0.1 \mathrm{~m} / \mathrm{s}
B. v \leq 0.2 \mathrm{~m} / \mathrm{s}
C. v \leq 0.25 \mathrm{~m} / \mathrm{s} \leftarrow CORRECT
D. v \leq 0.4 \mathrm{~m} / \mathrm{s}
E. v \leq 0.5 \mathrm{~m} / \mathrm{s}
