1. The problem statement, all variables and given/known data An object rolls down a ramp starting from rest, demonstrate symbolically the calculation needed to go from time given to a measured κ value here. Pick your favourite object and perform the calculation. d, m, R, t, h are known http://puu.sh/luare/10352d0479.png [Broken] Soccer Ball: m = 331.2 kg R = 10.54 cm t = 2.25 s d = 0.2805 m h = 0.0445 m 2. Relevant equations Derived from an earlier problem: a = (g*h)/(d*(1+k)) d = 1/2*a*Δt2 KEtotal = 1/2*m*v2 + 1/2*I*ω2 I = κ*m*R2 U = m*g*h v = v0 + a*t 3. The attempt at a solution Ui = KEf m*g*h = 1/2*m*v2 + 1/2*I*ω2 m*g*h = 1/2*m*v2 + 1/2*κ*m*R2*(v/R)2 g*h = 1/2*v2 + 1/2*κ*v2 κ = (g*h)/v2 - 1 v = (g*h)/(d*(1+k))*t Solving a system of equations gives me: v = (2*d)/t κ = (g*h*t2 - 2*d2)/(2*d2) Plugging in values gives me v = 1.65 m/s and k = 30.8. Compared to a chart which gives a value of κ = 2/3 for a thin spherical shell, my κ value is extremely large.