Final answer:
To calculate the tension in a rope pulling a block up an incline, draw a free-body diagram and use Newton's second law. Consider the gravitational force components and solve for the tension with the formula incorporating mass, acceleration, gravity, and the incline angle.
Step-by-step explanation:
To figure out the tension in a rope pulling a block up an incline, you need to consider forces such as gravity, normal force, and the force of tension. You use Newton's second law, which states that the sum of the forces equals mass times acceleration (F = m × a). Draw a free-body diagram to identify all the forces acting on the block. The gravitational force can be broken down into components perpendicular and parallel to the incline. The tension in the rope works against the component of gravity pulling the block down the incline. If friction is negligible and the incline angle is given, you can find the acceleration using the net force along the incline and then solve for the tension in the rope using the formula T = m(a + g × sin(θ)), where T is the tension, m is the mass of the block, a is the acceleration, g is the acceleration due to gravity, and θ is the angle of the incline.