Question

The masses of astronauts are monitored during long stays in orbit, such as when visiting a...

The masses of astronauts are monitored during long stays in orbit, such as when visiting a space station. The astronaut is strapped into a chair that is attached to the space station by springs and the period of oscillation of the chair in a frictionless track is measured.

a - The period of oscillation of the 14.0 kg chair when empty is 0.790 s. What is the effective force constant (in N/m) of the springs?

b - What is the mass (in kg) of an astronaut who has an oscillation period of 2.00 s when in the chair?

c - The movement of the space station should be negligible. Find the maximum displacement (in m) to the 10,0000 kg space station if the astronaut's motion has an amplitude of 0.100 m.

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