Complete the math model

stor Group Members: Rory, mason, Drew Lab Group Assignment: Determine Coefficient of Friction students in AP Physics are asked to design an experiment to determine the coefficient of friction between a art friction pad and track using energy physics concepts. The student have at their lab station a low friction rack (assume no friction exists between cart's wheels and track), a cart, an adjustable friction cart pad, a hoto gate, and a meter stick. The cart which has a mass of m, is released from rest from the top of the cline and allowed to accelerate down the track a distance d before entering a photo gate where the final elocity of the cart is measured as vi. It is determined that the track is at an angle of incline of B above the orizontal. The cart's center of mass is initially at a height, h, above its center of mass at the bottom of the ack. (location of the photo gate) art 1 jective sign an experiment to determine the coefficient of kinetic friction between the friction pad and the track ing only a meter stick, and a photo gate located at the bottom of the track. etch (create a sketch, label initial, final location, and important variables on the sketch d, vi, h, B) Model Derive an equation for the coefficient of kinetic friction, Uk, in terms of d, vi, h, B, and any ants (g). Must start with physics principles (energy). Suggest drawing a FBD of the forces acting on the while traveling down the track. Your answer should be in the form of uk = your