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A small mass measuring device (SMMD) used for research on the biological effects of spaceflight consists of a small spring-mounted cage. Rats or other small subjects are introduced into the cage, which is set into oscillation. Calibration of a SMMD gives a linear function for the square of the oscillation period versus the subject’s mass m in kg: T2 = 4.0 s2 + (5.0s2/kg) m. Find (a) the spring constant and (b) the mass of the cage alone.
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