rudy22
Oct 16, 2011, 12:35 AM
A man seeking to set a world record wants to tow a 115000-kg airplane along a runway by pulling horizontally on a cable attached to the airplane. The mass of the man is 80 kg, and the coefficient of static friction between his shoes and the runway is 0.98. What is the greatest acceleration the man can give the airplane? Assume that the airplane is on wheels that turn without any frictional resistance.
Unknown008
Oct 16, 2011, 06:58 AM
The maximum frictional force that he can have between his shoes and the runways is given by:
F = \mu R
where mu is the coefficient of friction, R is the normal reaction between the two bodies. Find that, this would be your maximum force applied by the man, on the runway, which also means the maximum force the man can pull on the rope and finally, the force that pulls the airplane. Then use:
F = ma
Where m is the mass of the airplane and a is the acceleration you're looking for.
Can you do that and post your answer? :)