Friction, Forces, Coefficient of Friction (True/False) Simple

[FAJISTE]

Homework Statement

You are pushing a filing cabinet across a rough floor (μk = 0.41) in a straight line at a constant speed. Which of the following statements about the magnitudes of the forces acting on the filing cabinet are correct?
(T/F)the force that you exert on the filing cabinet will be equal to the frictional force on the cabinet
(T/F) the force that you exert on the filing cabinet will be more than the frictional force on the cabinet
(T/F)if you exerted twice the force, the cabinet would slide at a constant speed that is twice the original value
(T/F) the force that you exert on the filing cabinet will be more than its weight
(T/F)the force that you exert on the filing cabinet will be less than its weight

Homework Equations

The Attempt at a Solution

1. True I assume because it's at a constant speed
2. False I assume because then it would be accelerating?
3. False, I assume it would just be moving faster and accelerating not at constant speed
4. No idea
5. No idea

Help please, some explanations too would be great. I really appreciate it.

 

[chrisk]

The expression for frictional force is

$$f_k=\mu_k\mbox{N}$$

N is the normal force and in this case is equal to the weight of the cabinet. This information should help you with the last two questions.

 

[FAJISTE]

Sweet, sometimes I'm a little slow, those last two were easy :P