A box of mass *m* = 0.31 kg is set against a spring with a spring constant of *k _{1}* = 549 N/m which has been compressed by a distance of 0.1 m. Some distance in front of it, along a frictionless surface, is another spring with a spring constant of

*k*= 444 N/m.

_{2}**a.) **How far *d*_{2}, in meters, will the second spring compress when the box runs into it?

**b.) **How fast *v*, in meters per second, will the box be moving when it strikes the second spring?

**c.) **Now assume friction is present on the surface in between the ends of the springs at their equilibrium lengths, and the coefficient of kinetic friction is *μ*_{k} = 0.5. If the distance between the springs is x = 1 m, how far *d*_{2}, in meters, will the second spring now compress?

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