1.A 4.00-kg block rests between the floor and a3.00-kg block asshown in the Figure. The 3.00-kg block is tied toa wall by ahorizontal rope. If the coefficient of static frictionis 0.800between each pair of surfaces in contact:
a) Draw free-body diagrams for the two boxesidentifying all ofthe forces acting on each of themasses.
b) Calculate the minimum force F that mustbe appliedhorizontally to the 4.00- kg block to make itmove?
c) What will be the tension in the rope underthe condition in(b).
2.Two skaters, a man and a woman,are standing on ice. Neglectany friction between the skate bladesand the ice. The woman pusheson the man with a certain force thatis parallel to the ground.
a) Must the man accelerate underthe action of this force? If so,what three factors determine themagnitude and direction of hisacceleration?
b) Is there a corresponding forceexerted on the woman? If so,where does itoriginate?
c) Is this force on the womanrelated to the magnitude anddirection of the force the womanexerts on the man? If so, how?
d) The mass of the man is 74 kgand that of the woman is 50 kg.The woman pushes on the man with aforce of 45 N due east. Determinethe acceleration (magnitude anddirection) of (i) the man and (ii)the woman
