An astronaut wishes to find out his mass while in orbit, to determine if he is staying healthy while in space. Since he cannot employ a bathroom scale (why not?), he joins himself to a spring (k = 2500 N/m), pulls himself back from the spring's equal length by 3 m, and times one oscillation to take 1 s.
i) Determine the mass of the astronaut?
ii) Determine the potential energy stored in the spring if it is furthest from the equilibrium length.
iii) Determine the speed of the astronaut if he passes via the equilibrium of spring.
iv) If he started at a displacement from equilibrium of 6 m rather, determine how long would one oscillation take now?