Let L be the length of the inclined plane. The work done by gravity on the block is calculated as the product of force and distance traveled, which amounts to mg sinθ x L, where m stands for the mass of the block and θ denotes the angle of inclination. This translates into the potential energy of the compressed spring represented by 1/2 k x² = mgL sin31, with k as the spring constant. Compression x measures 0.37. Solving this gives: 0.5 x 3400 x 0.37² = 33 x 9.8 x sin31 L yields L = 1.4 m, indicating the incline measures 1.4 meters.
The new force F3 is added in the same direction as F2. To analyze the forces acting on an object in this scenario, we observe that they operate along the vertical axis, with F1 acting upward and F2 downward. To determine the necessary vector F3 to counteract the net force, it's important to calculate the length difference between F1 and F2. The direction of F3 will match that of the smaller force. If F2 is less than F1, F3 will align with F2.
