Amass weighing 20 pounds stretches a spring 6 inches. the mass is initially released from rest from a point 6 inches below the equilibrium position. (a) find the position x of the mass at the times t-m/12, m /8 , n /6, m/4, and 9m/32 s. (use g 32 ft/s for the acceleration due to gravity.) -0.375 ft x x(π/ 12) 1 ft x(/8) 3 ft x(t/6) 0,75 ft x(/4) ft x(9m/32) (b) what is the velocity of the mass whent 3m/16 s 6 ft/s in which direction is the mass heading at this instant? odownward o upward (c) at what times does the mass pass through the equilibrium position?

One kind of e-book display consists of millions of very small spheres that float in a thin fluid layer between two conducting transparent plates. each sphere is black on one side and white on the other, and possesses an electric dipole moment directed from the white side to the black. when an electric field is applied between the plates, the spheres rotate so that their dipole moment lines up with the field. depending on the fields direction, either the black or the white sides of th espheres can be made visible.the dipole moment of the spheres can be modeled as two opposite charges of magnitude 3.5 x 10^-15 c, separated by a distancce of 100 micrometers (um). what is the maximum possible torque on a sphere if the electric field between the transparent plates is 4.0 x 10^5 n/c