Final answer:
The formula for the coefficient of kinetic friction between a block and a ramp is μ = tanθ
Step-by-step explanation:
To determine the formula for the coefficient of kinetic friction between the block and the ramp, we can use the concept of forces. When the block comes to rest, the net force acting on it is zero. The force of kinetic friction is opposing the motion of the block, so we have:
μkmgcosθ = mgsinθ
Where μk is the coefficient of kinetic friction, m is the mass of the block, g is the acceleration due to gravity, and θ is the angle of the ramp.
Thus, the formula for the coefficient of kinetic friction is: μk = tanθ