Step-by-step explanation:
It is given that,
Weight of the person, W = F = 846 N
When the person steps onto a spring scale in the bathroom, the spring compresses by 0.574 cm, x = 0.00574 m
(a) The force acting on the spring is is given by Hooke's law as :



k = 147386.7 N/m
(b) If the spring is compressed by 0.314 cm or 0.00314 m, weight of the person is given by again Hooke's law as :


F = 462.7 N
Hence, this is the required solution.