As we've seen, astronauts measure their mass by measuring the period of oscillation when sitting in a chair connected to a spring. the body mass measurement device on skylab, a 1970s space station, had a spring constant of 606 n/m. the empty chair oscillated with a period of 0.848 s. what is the mass of an astronaut who oscillates with a period of 2.26 s when sitting in the chair?

Aplayground slide is 8.80 ft long and makes an angle of 25.0° with the horizontal. a 63.0-kg child, initially at the top, slides all the way down to the bottom of the slide. (a) choosing the bottom of the slide as the reference configuration, what is the system's potential energy when the child is at the top and at the bottom of the slide? what is the change in potential energy as the child slides from the top to the bottom of the slide? (include the sign of the value in your answer.)