A 0.25kg mass hangs from the lower end of a light spring that is suspended from the ceiling. When the mass comes to rest, the spring is 7.5 cm longer than its relaxed length.
Take upward as the positive y-direction.
(1) Calculate the magnitude of the force exerted by the spring on the mass while it is stretched the stated amount. Show all steps, include proper units, and pay special attention to unit consistency.
(2) State the algebraic value (including sign) of this force using the coordinate convention given. Briefly explain how the sign indicates the actual physical direction of the force relative to the mass.