based on the diagram below, what is the acceleration, in m/s2, of the Mother once she begins to move backwards after being pushed?

The mothers mass is 100N pushing on her daughter with the force of 15N and the daughters mass is 50N pushing on her mom with a force of15N

To determine the acceleration of the Mother once she begins to move backwards after being pushed, we need to use Newton's second law of motion, which states that the acceleration of an object is equal to the net force acting on the object divided by its mass.

In this case, the net force acting on the Mother can be found by subtracting the force applied by the Daughter from the force applied by the Mother.
Net force on the Mother = Force applied by the Mother - Force applied by the Daughter
= 100N - 15N
= 85N

Considering that the mass of the Mother is given as 100N and we want to find the acceleration, we can rearrange Newton's second law of motion to solve for it:
Acceleration = Net force / Mass
Acceleration = 85N / 100N
Acceleration ≈ 0.85 m/s²

Therefore, the acceleration of the Mother once she begins to move backwards after being pushed is approximately 0.85 m/s².