1. The problem statement, all variables and given/known data a)A snowball, initially of mass m0, slides down a slope of incline angle ∅. As it moves, mass of additional snow Δm = αx. Write down the differential equation of translational motion for the snowball, ignoring rotation and friction. b)If the snowball starts from rest, derive an expression for its velocity as a function of time. c)A spherical ball of mass m and radius r rolls down a slope at an angle ∅. Find the frictional force required between the slope and the ball if there is no slipping. 3. The attempt at a solution (a) By using conservation of momentum at t and t+Δt, where taking the limit Δt→0, Δp/Δt = mg sin ∅ I arrive at: (b) I change the differential equation to dv/dm first, then use a substitution. (c) For part (c), do I assume that it is pure rolling?