In: Physics
(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 mass, a time-varyingnetforceF(t)=At3/2 acted on the
block from time st =0tot =t1. After the time-varying force stopped
acting, then the block went through the same friction patch. For
this new scenario, what would be your approach to solving this
problem? Briefly explains using equations and/or technical words. Be
specific to earn full credit. Solving part (b) is not required for
full credit.