Two bodies, m₁ = 5.0 kg and m₂ = 3.0 kg, are in contact on a horizontal surface. The coefficient of kinetic friction between the surface and both bodies is μ₁ = 0.30. A force of F = 30.0 N is applied horizontally to body m₁, causing both bodies to move together.
a) What is the acceleration of the system?
b) What is the force of kinetic friction acting on each body?