A block slides from rest down a frictionless incline. The incline is 2.5 meters long and its angle is 40. at the bottom is a small smooth curved section that joins into a rough section of a horizontal floor. the block slides an additional horizontal distance of 3.00 meters before stopping. determine the coefficent of kinetic Friction between the block and the floor.

Respuesta :

Answer:

0.54

Explanation:

Energy is conserved, so the block's initial gravitational potential energy at the top of the incline is converted to kinetic energy at the bottom of the incline. That kinetic energy is then converted to work done by friction. On a level surface, the friction force is equal to the weight times the coefficient of friction.

PE = KE = W

mgh = Fd

mg L sin θ = mgμ d

L sin θ = μ d

μ = L sin θ / d

μ = 2.5 sin 40° / 3.00

μ = 0.54