3) 20 pts. A 3-kg mass starts from rest and slides a distance "d" down a frictionless 30 degree incline, where it contacts an unstressed spring. The mass slides an additional 0.2- meters as it is brought momentarily to rest by compressing the spring (k = 400 N/m). Find the initial separation "d" between the mass and the spring. wwwwwwww kd- 300 =A Av v=dx dt = dv dt PHYSICS 105 EQUATION SHEET g= 9.8 m/sec/sec g= 32.2 ft/sec/sec total = + a = dv dt x=x+vt v=v+t (*-*)=t+1/2t v = v+2a(x-x) V+V v = 2 (x-x)=vt Wt-mg = ma JR HEFN f, ,FN f =FN f, SH,PN avg = AF Av tan=v/gr P = W/t = Fy 2 Work = [Fdr Work 1/2mv-1/2mv = K+U+U, = const K=1/2my U = mgy U-1/2kx TE=fd e(v)=(vv) m +mv mv, +mv W = mg