80. A man seeking to set a world record wants to tow a 109 000-kg airplane along a runway by pulling   horizontally on a cable attached to the airplane. The mass of the man is 85 kg, and the coefficient of static friction between his shoes and the runway is 0.77. What is the greatest acceleration the man can give the airplane? Assume that the airplane is on wheels that turn without any frictional resistance.

Since there is no motion vertically.

We are looking for the greatest static friction which means we are not moving until the static friction is maxed out.  So acceleration is zero so that we can determine H which will then act on the plane giving it the initial acceleration.

 

 

Now apply this force to the 109,000 kg plane and find the resulting acceleration

 

 

 

 

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This page last updated on January 11, 2020