Question

A filing cabinet weighing 566 N rests on the floor. The coefficient of static friction between it and the floor is 0.680, and the coefficient of kinetic friction is 0.580. In four different attempts to move it, it is pushed with horizontal forces of magnitudes (a) 222 N, (b) 344 N, (c) 445 N, and (d) 586 N. For each attempt, calculate the magnitude of the frictional force on it from the floor. (The cabinet is initially at rest.) Does the cabinet move for the appropriate attempt

Answer 1

The static frictional force has a magnitude of 384.88 N.
If you apply a force of 222 N or a force of 344 N to the cabinet at rest it doesn't move.
It is to say that if the cabinet is moving you can support its motion by applying a force of 344 N because the kinetic frictional force has a magnitude of 328.28 N.
Finally if you apply a force of 586 N to the object at rest you achieve motion.
The magnitude of the frictional force for each attempt is respectively 222 N; 344 N; 328.28 N; 328.28 N.Yes it does move for the appropriate attempt, which is of 445 and 586 N.