Two blocks connected by a rope of negligible mass are being dragged by a force as shown. Assume F = 100.0 N, m1 = 10.0 kg, m2 = 15.0 kg, and the coefficient of kinetic friction between each block and the surface is 0.150. (a) Draw a free-body diagram for each block. Determine (b) the acceleration of the system and (c) the tension T in the rope. I think I did the free-body correct. The image contains two diagrams labeled "a" and "b" on a lined paper.### Diagram (a):- This diagram illustrates a force vector analysis on a slope.- There are arrows representing different forces acting on a 10 kg mass: - An arrow pointing downwards is labeled "mg" representing the gravitational force (weight). - An arrow pointing down the slope is labeled "mg sine 20°" indicating the component of the weight parallel to the slope. - An arrow perpendicular to the slope is labeled "mg cosine 20°" representing the component of the weight normal to the slope. - The normal force (\(\vec{N}\)) is depicted as an arrow pointing upwards, perpendicular to the slope.### Diagram (b):- This diagram shows a different vector setup for a 15 kg mass: - An arrow pointing downwards is labeled "m\(_2\)g" indicating the gravitational force on the mass. - An arrow pointing up the slope is labeled "m\(_2\)g sine 20°" for the parallel component of the weight. - An arrow perpendicular to the slope is labeled "m\(_2\)g cosine 20°" representing the normal component. - There is also a horizontal force of 100 N applied, as indicated by an arrow pointing to the right.Both diagrams illustrate the resolution of gravitational forces into components parallel and perpendicular to an inclined plane, along with the normal force acting on the bodies. The image illustrates a physics problem involving two connected masses on an inclined plane. Key components in the diagram:- Two blocks labeled \( m_1 \) and \( m_2 \) are connected by a string. - The block \( m_1 \) is positioned on the incline, while block \( m_2 \) is shown with an arrow labeled \( \vec{F} \) indicating an external force applied horizontally.- The incline on which the blocks rest is angled at \( \alpha = 20^\circ \) with respect to the horizontal.- There is also a tension \( T \) shown in the string connecting the two blocks.This setup could be used to explore concepts such as forces on inclines, tension in strings, and the effect of external forces on motion.

(a) The free-body diagram of each block is shown below. Here, a denotes the acceleration of the system, µ denotes the coefficient of friction, T denotes the rope’s tension, N1 denotes the normal force on block m1, and N2 denotes the normal force on block m2.Balance the vertical forces along the inclined surface on the mass m1 as, Now, apply Newton’s second law for the mass m1 as, Now, put the known values in the above relation.Balance the vertical forces along the inclined surface on the mass m2 as, Now, apply Newton’s second law for the mass m2 as, Now, put the known values in the above relation.Now, solve the equation (1) and (2) to get the values. (b) The acceleration of the system is, Here, a negative sign shows that the system is slowing down. (c) The rope’s tension is,