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On a horizontal, frictionless surface, a 0.50-kg mass is at rest at x=0, attached to a...

On a horizontal, frictionless surface, a 0.50-kg mass is at rest at x=0, attached to a wall by a spring whose spring constant is 5.0 N/m. I throw a 0.10-kg lump of clay at the mass with speed 3.0 m/s, and at time t=0 the lump hits the mass and sticks to it.

(a) Where and when does the block first come to a stop?

(b) How fast is the block moving when it gets back to x=0?

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