Man towing airplane and truck stopping distance with friction

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Homework Statement



A man seeking to set a world record wants to tow a 101,000-kg airplane along a runway by pulling horizontally on a cable attached to the airplane. The mass of the man is 77 kg, and the coefficient of static friction between his shoes and the runway is 0.82. What is the greatest acceleration the man can give the airplane? Assume that the airplane is on wheels that turn without any frictional resistance.

A truck is traveling at a speed of 23.0 m/s along a level road. A crate is resting on the bed of the truck, and the coefficient of static friction between the crate and the truck bed is 0.610. Determine the shortest distance in which the truck can come to a halt without causing the crate to slip forward relative to the truck.


Homework Equations



Fk=μsFn
W=mg
Fn=mg+ma


The Attempt at a Solution


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Anytime you are dealing with force problems, the best thing you can do is draw yourself free body diagrams for every object that has forces acting on it, then set up your [tex]\Sigma[/tex]F equations on each of them