A block of mass m slides on a horizontal frictionless surface. The block is attached to a spring with a spring constant K. At the instant shown below, the spring is stretched and the block is traveling to the right. Neglect air resistance. Equilibrium position

a) Draw the free body diagram for the block.
b) Apply Newton's Second Law, Fnetma, to the block for the x direction. Put into your equation the fact that the spring force magnitude, Fopring Kx, and solve for the acceleration of the bloc.
c) Start with the position equation x x cos( t+%) and differentiate twice to get dt d2x d2x
d)Sct a% from part b) equal to dtx from part c)toshow that ω-ν e) Write the frequency f in terms of K and m. f Write the period T in terms of K and m. g) Write the block velocity V as a function of time. h) Write the block acceleration 'a' as a function of time.

To understand the behavior of the electric field at the surface of a conductor, and its relationship to surface charge on the conductor. a conductor is placed in an external electrostatic field. the external field is uniform before the conductor is placed within it. the conductor is completely isolated from any source of current or charge. part a: which of the following describes the electric field inside this conductor? it is in the same direction as the original external field. it is in the opposite direction from that of the original external field. it has a direction determined entirely by the charge on its surface. it is always zero. part b: the charge density inside the conductor is: 0non-zero; but uniformnon-zero; non-uniforminfinite part c: assume that at some point just outside the surface of the conductor, the electric field has magnitude e and is directed toward the surface of the conductor. what is the charge density η on the surface of the conductor at that point? express your answer in terms of e and ϵ0