To determine the force exerted by the rope on a 30 kg crate moving up an 18-degree ramp at constant speed, apply Newton's second law, noting that constant velocity indicates zero acceleration and a net force of zero. A free body diagram is essential for visualizing the forces acting on the crate, including gravitational force, normal force, friction, and the tension in the rope. The coefficient of kinetic friction is given as 0.27, which will factor into the calculations for the frictional force opposing the motion. By balancing the forces parallel to the ramp, the tension in the rope can be calculated. Understanding these principles is crucial for solving the problem effectively.