A63 kg boy and a 37 kg girl use an elastic rope while engaged in a tug-of-war on a frictionless icy surface. if the acceleration of the girl toward the boy is 2.3 m/s 2 , determine the magnitude of the acceleration of the boy toward the girl. answer in units of m/s 2 .

From Newton's third law of motion, the force that is exerted to the boy must be the same force exerted to the girl only that the direction is opposite. The net force in this item is,

   F = m x a 
Girl:
  F = (37 kg)(2.3 m/s²)
   F = 85.1 N

In the boy's case,
   F = m x a
   a = F/m

Boy:
  a = 85.1 N/63 kg
   a = 1.35 m/s²

1.35 m/s²

Newtons laws of motion

Answer(a)   the matererials that are in contact, the two materials and the nature of their surfaces/// (b)/// the force pushing the two surfaces together, pushing the surfaces together causes the more of the asperities to come together and increases the surface area in contact with each other