a slab of 40kg rests on a frictionless floor, and a block of mass= 10kg sits on top of the slab. between the block and slab the coefficient of static friction is 0.6 and the coefficient of kinetic friction is 0.4. A horizontal force pulls directly on the block with a force of 100 N. In unit vector notation, what are the resulting accelerations of the block and then the slab. I'm pretty unsure of how to deal with both static and kinetic friction. I calculated the acceleration of the block to be 9.6 m/s^2, but I just used the kinetic friction, and I don't know how to put it into a unit vector.

Question

a slab of 40kg rests on a frictionless floor, and a block of mass= 10kg sits on top of the slab. between the block and slab the coefficient of static friction is 0.6 and the coefficient of kinetic friction is 0.4. A horizontal force pulls directly on the block with a force of 100 N. In unit vector notation, what are the resulting accelerations of the block and then the slab. I'm pretty unsure of how to deal with both static and kinetic friction.  I calculated the acceleration of the block to be 9.6 m/s^2, but I just used the kinetic friction, and I don't know how to put it into a unit vector.