A crate of mass m = 0.24 kg is set against a spring with a spring constant of k1 = 605 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 k2 = 487 N/m. The crate is not connected to the first spring and may slide freely.
1) How far, d2 in meters, will the second spring compress when the crate runs into it?
2) How fast, v in meters per second, will the crate be moving when it strikes the second spring?
3) Now assume that the surface is rough (that is, not frictionless). You perform the experiment and observe that the second spring only compresses a distance d2/2. How much energy, in joules, was lost to friction?
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