(a) (15 pts) A net force is applied to a mass m that is
initially at rest on a level frictionless surface. The force varies
with position and is given by F(x)=Ax3/2. The force is applied
tothemassfrompositionsx=0tox=d. Aftertheforcestopsacting,the mass
then slides throughalevelfrictionpatchwithcoefficientoffriction
µk.
How far does the mass travel through the friction patch before
coming to rest? Put your answer in terms of m,g,d, µk,and A.
(b) (5 pts) Now, suppose that instead of the position-varying force
acting on the...