A massless frictionless pulley, an ideal string, and two masses (m1 = 2.50 kg and m2 = 4.00 kg) are connected together as shown in the diagram below. An external force ~F pull with magnitude 100 N is applied to the smaller mass as shown. The coeffi- cient of kinetic friction between the table and the larger mass is 0.100. The coefficient of kinetic friction between the two masses is 0.250.
(a) What is the magnitude of the acceleration of the system?
(b) What is the magnitude of the tension force in the string?