4. A 70.0 kg boy and a 45.0 kg girl use an elastic rope while engaged in a tug-of-war on an icy, frictionless surface. If the acceleration of the girl toward the boy is 2.25 m/s², find the
acceleration of the boy toward the girl. (3M law : m2 a2 = - ml al)
Given:
ml =
m2 =
a2=
Unknown:
al=?
Equation:
m2 a2= - ml al

Explanation:

Given

-- Mass of the boy

-- Mass of the girl

-- Acceleration of the girl towards the boy

Required

Determine the acceleration of the boy towards the girl ()

From the question, we understand that the surface is frictionless. This implies that the system is internal and the relationship between the given and required parameters is:

Substitute values for and

Make the subject

Hence, the acceleration of the boy towards the girl is 1.446m/s^2

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