Question

box of books weighs 350 n is shoved across the floor with a force of 500 n directed downward at angle of 37 with horizontal. if muk between box and floor is .5 how long does it take box to move 4 m starting from rest and what is largest value of muk that will allow the box to move with that applied forcep

Answer 1

500 cos 37 - .5 (350 + 500 sin 37) = m a
m = 350/9.81

find a

4 = (1/2) a t^2

for part be find mu for:
500 cos 37 - mu (350 + 500 sin 37) = 0