A 50 kg box is placed on a 35 kg cart pulled by a force as shown in the figure. The coefficient of static friction between the box and the cart is 0.45 and the coefficient of kinetic friction between the cart and the ground is 0.28. O O a) [10 pts] Draw the free body diagram for the box and the cart separately. Including a Cartesian coordinate axis and the direction of the acceleration. b) [5 pts] Write down the Newton's 2nd law for the box (both x and y components). c) [5 pts] Write down the Newton's 2nd law for the cart (both x and y components). d) [10 pts] What is the maximum pulling force that can be applied to the cart without the box slipping? (Answer in 3 significant figures)