A boy of mass M1 is sitting behind another smaller boy of mass M2 resting on a horizontal water slide. Assume the surface of the slide is frictionless. A friend applies a constant horizontal force F to the first boy back to push both boys both along.

 (a) Draw a diagram to represent this situation. 

(b) Develop a formula for calculating the acceleration of the combined system of the two boys. Now consider the boys as separate systems. 

(c) What is the net force acting on boy A? What is the net force acting on boy B?

 (d) Draw a free-body diagram of the forces acting on boy A. Draw a free body diagram of the forces acting on boy B.

 (e) What is the magnitude of the contact force boy A exerts on boy B? What is the magnitude of the contact force that boy B exerts on boy A?

 (f) Calculate the magnitude and direction of the contact force boy A exerts on boy B for the following situation: M1 = 20 kg, M2 = 10 kg, F = 60 N.