A 2.1 kg block slides along a horizontal surface with a coefficient of kinetic friction = 0.31. The block has a speed = 1.4 m/s when it strikes a massless spring head-on.
If the spring has force constant = 120 N/m , how far is the spring compressed?
What minimum value of the coefficient of static friction, S, will assure that the spring remains compressed at the maximum compressed position?
If S is less than this, what is the speed of the block when it detaches from the decompressing spring? [Hint: Detachment occurs when the spring reaches its natural length (x = 0).]
Explain why the detachment occurs when the spring reaches its natural length (x = 0).