Part 1. A 3 kg package of tamales (see the figure below) slides along a floor with speed v1 = 5 m/s. It then runs into and compresses a spring, until the package momentarily stops. Its path to the initially
relaxed spring is frictionless, but as it compresses the spring, a kinetic frictional force from the floor, of magnitude 15 N, acts on the package. If k = 8 000 N/m, by what distance d is the spring compressed when the package stops? What makes up the system in this problem and state a reasonable assumption about this system?
Consider the following for a rotational motion:
r = 6 m, θ = 0.5t2, where t is in seconds and θ is in radians.Find the magnitudes of (a) tangential acceleration at t = 4 s, and (b) radial acceleration at t = 4 s.[1+1]


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