5) In the scenario where the object Kon a frictional surface is released from rest along with 2 kg keobjects, and their motion is analyzed, given that the gravitational acceleration the objects is g=10m/s^2 friction mu =0.1 a) Draw the free-body diagrams of the 2 kg, 3 kg. and 5 kg objects (5 points) b) Calculate the magnitude of the acceleration for each of the 2 kg, 3 kg, and 5 kg objects. (5 points) c) Determine the tension forces in the ropes connected to the 2 kg and 3 kg objects. (10 points)

Let's analyze the given problem step by step.### Part (a): Free-Body Diagrams1. **2 kg Object:** - Weight ( ): downward. - Normal force ( ): 20 N upward. - Frictional force ( ): opposite to the direction of motion. - Tension force ( ) in the rope connected to the 3 kg object.2. **3 kg Object:** - Weight ( ): downward. - Normal force ( ): 30 N upward. - Frictional force ( ): opposite to the direction of motion. - Tension force ( ) in the rope connected to the 5 kg object. - Tension force ( ) from the rope connected to the 2 kg object.3. **5 kg Object:** - Weight ( ): downward. - Normal force ( ): 50 N upward. - Frictional force ( ): opposite to the direction of motion. - Tension force ( ) from the rope connected to the 3 kg object.### Part (b): Calculate the Magnitude of the AccelerationAssuming all objects are connected and move together with the same acceleration :The net force acting on the system is the sum of the forces minus the frictional forces: The total mass of the system: The total frictional force: Since there is no external force pulling the system, the net force is due to the frictional forces only: Using Newton's second law: The negative sign indicates that the acceleration is opposite to the assumed direction of motion.### Part (c): Determine the Tension Forces in the Ropes1. **Tension in the rope connected to the 2 kg object ( ):**For the 2 kg object: 2. **Tension in the rope connected to the 3 kg object ( ):**For the 3 kg object: Therefore, the tensions in the ropes are:- - This result suggests that the objects are not accelerating relative to each other, and the entire system is moving as a single unit under the influence of friction.