using conservation of energy (including the work done by kinetic friction), calculate how far up a 30° incline a 2.0 kg block with initial speed 12 m/s will travel if the coefficient of kinetic friction is 0.15; show all steps: set initial kinetic energy equal to gain in gravitational potential plus work done by friction, compute the normal force, friction force = mu_k * N, express friction work as friction times distance along the incline, and solve for the distance