Two blocks A and B of masses 2kg and 3kg respectively are kept in contact on a horizontal frictionless surface. A horizontal force of 15N is applied on block A toward block B.
a. (i) Isolate each block and sketch its free-body diagram, clearly labeling all external forces.
b. (ii) Using the diagrams, write the equations of motion for each block along the horizontal direction.
c. (iii) Calculate (a) the common acceleration of the system and (b) the magnitude of the force that block B exerts on block A.