A worker pushes horizontally on a $$35$$ kg crate with a force of magnitude $$110$$ N. The coefficient of static friction between the crate and the floor is $$0.37$$.
(a) What is the value of $$f_{s, max}$$ under the circumstances?
(b) Does the crate move?
(c) What is the frictional force on the crate from the floor?
(d) Suppose, next, that a second worker pulls directly upward on the crate to help out. What is the least vertical pull that will allow the first worker’s $$110 $$ N push to move the crate?
(e)If, instead, the second worker pulls horizontally to help out, what is
the least pull that will get the crate moving?