Equations

1 km = 1000 m

1 h = 60 minutes = 3600 s

Dx = x2 - x1, Dt = t2 - t1

v = dx/dt

a = dv/dt = d2x/dt2

v = vo + at

g = 9.8 m/s2

x-xo = vot + (½)at2

v2 = vo2 + 2a(x-xo)

x-xo = ½( vo+ v)t

x-xo = vt -1/2at2

,

a = v2/r

T=(2pr)/v

ax = a cos(q)

ay = a sin(q)

tan(q) = ay/ax

fk = mkn, fs £ msn

F = mv2/r

K = mv2

DK = W

, A.B = AB cos(q)

, F = -kx

W = -kx2

,

DU = -W

Ug = mgDy, Us = (1/2)kx2,

UG = -Gm1m2/r

DE = DU + DK

F = -dU/dx

Wapp = DU + DK + DEint

DEint = fkd = - dissipated energy

Wext + Wnc = DU + DK