k5 deduce the equation of motion of a particle q5 a person of 65 g kg

Question

K5 Deduce the equation of motion of a particle (Q5): A person of (65+G) kg pushes on a horizontal surface a box that weighs (130+2 G) kg with a horizontal force. At the instant consider the box is still.Knowing that: the coefficient of static friction between the box and the floor is μsi= 0.25;
the coefficient of kinetic friction between the box and the floor is μ = 0.17;
the coefficient of static friction between the person's shoes and the floor is μs2 = (0.65+0.01.G);
Answer the following questions: a) Is the person able to move the box? b) Which is the maximum acceleration that the person can give to the box (assuming that it actually starts sliding) before his shoes start to slip? (4 marks).