physics
posted by Liz .
Suppose a 65kg boy and a 45kg girl use a massless rope in a tugofwar on an icy, resistancefree surface. If the acceleration of the girl toward the boy is 3.0 m/s2, find the magnitude of the acceleration of the boy toward the girl.

The forces are the same
massman*a_{man}=massgirl*a_{girl}
solve for the man's acceleration 
Tension of rope = T N
Mass of girl, m = 45 kg
Acceleration = 3.0 m/s²
T = ma = 135 N
Mass of boy, M = 65 kg
T = MA,
solve for acceleration A. 
girl: 135 N
boy mass: 65 kg
135/65 = 2.0769 =
2.077 m/s^2